%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : NLP004^8 : TPTP v9.2.1. Released v8.1.0.
% 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 09:21:51 AM UTC 2026
% Result : Theorem 13.90s 3.13s
% Output : Refutation 13.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 93
% Number of leaves : 20
% Syntax : Number of formulae : 713 ( 25 unt; 0 typ; 14 def)
% Number of atoms : 34589 (4121 equ; 0 cnn)
% Maximal formula atoms : 292 ( 48 avg)
% Number of connectives : 58676 (1038 ~;4280 |;11657 &;40376 @)
% ( 14 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 60 ( 9 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 362 ( 362 >; 0 *; 0 +; 0 <<)
% Number of symbols : 73 ( 69 usr; 38 con; 0-3 aty)
% ( 0 !!;1297 ??; 0 @@+; 0 @@-)
% Number of variables : 3324 (2108 ^;1214 !; 2 ?;3324 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mworld: $tType ).
thf(func_def_0,type,
mworld: $tType ).
thf(func_def_1,type,
mrel: mworld > mworld > $o ).
thf(func_def_2,type,
mactual: mworld ).
thf(func_def_3,type,
mlocal: ( mworld > $o ) > $o ).
thf(func_def_5,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(func_def_6,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_7,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_8,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_9,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(func_def_10,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(func_def_11,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(func_def_12,type,
eiw_di: $i > mworld > $o ).
thf(func_def_13,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_14,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(func_def_15,type,
chevy: $i > mworld > $o ).
thf(func_def_16,type,
dirty: $i > mworld > $o ).
thf(func_def_17,type,
barrel: $i > $i > mworld > $o ).
thf(func_def_18,type,
hollywood: $i > mworld > $o ).
thf(func_def_19,type,
city: $i > mworld > $o ).
thf(func_def_20,type,
in: $i > $i > mworld > $o ).
thf(func_def_21,type,
young: $i > mworld > $o ).
thf(func_def_22,type,
old: $i > mworld > $o ).
thf(func_def_23,type,
down: $i > $i > mworld > $o ).
thf(func_def_24,type,
way: $i > mworld > $o ).
thf(func_def_25,type,
qmltpeq: $i > $i > mworld > $o ).
thf(func_def_26,type,
seat: $i > mworld > $o ).
thf(func_def_27,type,
white: $i > mworld > $o ).
thf(func_def_28,type,
car: $i > mworld > $o ).
thf(func_def_29,type,
furniture: $i > mworld > $o ).
thf(func_def_30,type,
street: $i > mworld > $o ).
thf(func_def_31,type,
fellow: $i > mworld > $o ).
thf(func_def_32,type,
front: $i > mworld > $o ).
thf(func_def_33,type,
man: $i > mworld > $o ).
thf(func_def_34,type,
event: $i > mworld > $o ).
thf(func_def_35,type,
lonely: $i > mworld > $o ).
thf(func_def_57,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f2189,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f231,f239,f408,f444,f515,f662,f665,f789,f914,f934,f990,f1279,f1316,f1319,f2150,f2153,f2188]) ).
thf(f2188,plain,
( spl0_1
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[status(thm)],[f2187]) ).
thf(f2187,plain,
( $false
| spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f2186]) ).
thf(f2186,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_31 ),
inference(backward_demodulation,[status(thm)],[f1416,f2185]) ).
thf(f2185,plain,
( ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f2184]) ).
thf(f2184,plain,
( ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2183,f1356]) ).
thf(f1356,plain,
( ( ( eiw_di @ sK10 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1354]) ).
thf(f1354,plain,
( ( $true
= ( ( eiw_di @ sK10 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1353]) ).
thf(f1353,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) )
@ sK10 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1351]) ).
thf(f1351,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1350]) ).
thf(f1350,plain,
( ( $true
= ( ( eiw_di @ sK9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1349]) ).
thf(f1349,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) )
@ sK9 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1347]) ).
thf(f1347,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1346]) ).
thf(f1346,plain,
( ( $true
= ( ( eiw_di @ sK8 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1345]) ).
thf(f1345,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) )
@ sK8 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1343]) ).
thf(f1343,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1342]) ).
thf(f1342,plain,
( ( $true
= ( ( eiw_di @ sK7 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1341]) ).
thf(f1341,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK7 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1339]) ).
thf(f1339,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1338]) ).
thf(f1338,plain,
( ( $true
= ( ( eiw_di @ sK6 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1337]) ).
thf(f1337,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK6 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1335]) ).
thf(f1335,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1334]) ).
thf(f1334,plain,
( ( $true
= ( ( eiw_di @ sK5 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1333]) ).
thf(f1333,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK5 )
= $true )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1331]) ).
thf(f1331,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1330]) ).
thf(f1330,plain,
( ( $true
= ( ( eiw_di @ sK4 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1329]) ).
thf(f1329,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1327]) ).
thf(f1327,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1326]) ).
thf(f1326,plain,
( ( $true
= ( ( eiw_di @ sK3 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1325]) ).
thf(f1325,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1323]) ).
thf(f1323,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1322]) ).
thf(f1322,plain,
( ( ( ( eiw_di @ sK2 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1321]) ).
thf(f1321,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f220]) ).
thf(f220,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= $false )
| spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f219]) ).
thf(f219,definition,
( spl0_1
<=> ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f2183,plain,
( ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f2182]) ).
thf(f2182,plain,
( ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2181,f1363]) ).
thf(f1363,plain,
( ( $true
= ( furniture @ sK2 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1362]) ).
thf(f1362,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1359]) ).
thf(f1359,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1358]) ).
thf(f1358,plain,
( ( $true
= ( ( eiw_di @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1357]) ).
thf(f1357,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) )
@ sK11 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1355]) ).
thf(f1355,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1354]) ).
thf(f2181,plain,
( ( ( furniture @ sK2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f2180]) ).
thf(f2180,plain,
( ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( $true = $false )
| ( ( furniture @ sK2 @ mactual )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2179,f1361]) ).
thf(f1361,plain,
( ( ( seat @ sK2 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1359]) ).
thf(f2179,plain,
( ( ( seat @ sK2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( furniture @ sK2 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f2178]) ).
thf(f2178,plain,
( ( ( seat @ sK2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( ( furniture @ sK2 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2177,f1324]) ).
thf(f1324,plain,
( ( $true
= ( eiw_di @ sK2 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1322]) ).
thf(f2177,plain,
( ( ( eiw_di @ sK2 @ mactual )
= $false )
| ( ( furniture @ sK2 @ mactual )
= $false )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f2176]) ).
thf(f2176,plain,
( ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( ( eiw_di @ sK2 @ mactual )
= $false )
| ( ( furniture @ sK2 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_31 ),
inference(forward_demodulation,[status(thm)],[f2175,f1365]) ).
thf(f1365,plain,
( ( ( front @ sK2 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1364]) ).
thf(f1364,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1362]) ).
thf(f2175,plain,
( ( ( front @ sK2 @ mactual )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( ( eiw_di @ sK2 @ mactual )
= $false )
| ( ( furniture @ sK2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(trivial_inequality_removal,[status(thm)],[f2165]) ).
thf(f2165,plain,
( ( ( furniture @ sK2 @ mactual )
= $false )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ sK10 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( front @ sK2 @ mactual )
= $false )
| ( ( eiw_di @ sK2 @ mactual )
= $false )
| spl0_1
| ~ spl0_31 ),
inference(superposition,[status(thm)],[f1464,f1418]) ).
thf(f1418,plain,
( ( $true
= ( in @ sK10 @ sK2 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1417]) ).
thf(f1417,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1415]) ).
thf(f1415,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1413]) ).
thf(f1413,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1411]) ).
thf(f1411,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1409]) ).
thf(f1409,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1407]) ).
thf(f1407,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1405]) ).
thf(f1405,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1402]) ).
thf(f1402,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1400]) ).
thf(f1400,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1398]) ).
thf(f1398,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1396]) ).
thf(f1396,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1394]) ).
thf(f1394,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1392]) ).
thf(f1392,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1390]) ).
thf(f1390,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1388]) ).
thf(f1388,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1386]) ).
thf(f1386,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1384]) ).
thf(f1384,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1382]) ).
thf(f1382,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1380]) ).
thf(f1380,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1378]) ).
thf(f1378,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1376]) ).
thf(f1376,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1374]) ).
thf(f1374,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1372]) ).
thf(f1372,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1370]) ).
thf(f1370,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1368]) ).
thf(f1368,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1366]) ).
thf(f1366,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1364]) ).
thf(f1464,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false ) )
| ~ spl0_31 ),
inference(avatar_component_clause,[status(thm)],[f1463]) ).
thf(f1463,definition,
( spl0_31
<=> ! [X0: $i,X1: $i] :
( ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition]) ).
thf(f1416,plain,
( ( $true
= ( qmltpeq @ sK8 @ sK10 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1415]) ).
thf(f2153,plain,
( spl0_1
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[status(thm)],[f2152]) ).
thf(f2152,plain,
( $false
| spl0_1
| ~ spl0_58 ),
inference(trivial_inequality_removal,[status(thm)],[f2151]) ).
thf(f2151,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_58 ),
inference(backward_demodulation,[status(thm)],[f1420,f2123]) ).
thf(f2123,plain,
( ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ~ spl0_58 ),
inference(avatar_component_clause,[status(thm)],[f2121]) ).
thf(f2121,definition,
( spl0_58
<=> ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_58])],[avatar_definition]) ).
thf(f1420,plain,
( ( $true
= ( qmltpeq @ sK9 @ sK11 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1419]) ).
thf(f1419,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1417]) ).
thf(f2150,plain,
( spl0_58
| spl0_31
| spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f2149,f406,f219,f1463,f2121]) ).
thf(f406,definition,
( spl0_6
<=> ! [X2: $i,X10: $i,X7: $i,X8: $i,X9: $i,X1: $i] :
( ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( qmltpeq @ X8 @ X10 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( in @ X10 @ X2 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f2149,plain,
( ! [X0: $i,X1: $i] :
( ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2148]) ).
thf(f2148,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2147,f1410]) ).
thf(f1410,plain,
( ( ( fellow @ sK9 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1409]) ).
thf(f2147,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2146]) ).
thf(f2146,plain,
( ! [X0: $i,X1: $i] :
( ( ( fellow @ sK9 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( $true = $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2145,f1352]) ).
thf(f1352,plain,
( ( ( eiw_di @ sK9 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1350]) ).
thf(f2145,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2144]) ).
thf(f2144,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( $true = $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2143,f1412]) ).
thf(f1412,plain,
( ( $true
= ( man @ sK9 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1411]) ).
thf(f2143,plain,
( ! [X0: $i,X1: $i] :
( ( ( man @ sK9 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2142]) ).
thf(f2142,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( $true = $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2141,f1404]) ).
thf(f1404,plain,
( ( $true
= ( fellow @ sK8 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1402]) ).
thf(f2141,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ sK9 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2140]) ).
thf(f2140,plain,
( ! [X0: $i,X1: $i] :
( ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( in @ X1 @ X0 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2139,f1348]) ).
thf(f1348,plain,
( ( ( eiw_di @ sK8 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1346]) ).
thf(f2139,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2138]) ).
thf(f2138,plain,
( ! [X0: $i,X1: $i] :
( ( ( man @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2137,f1406]) ).
thf(f1406,plain,
( ( $true
= ( man @ sK8 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1405]) ).
thf(f2137,plain,
( ! [X0: $i,X1: $i] :
( ( ( man @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2136]) ).
thf(f2136,plain,
( ! [X0: $i,X1: $i] :
( ( ( man @ sK8 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2135,f1414]) ).
thf(f1414,plain,
( ( $true
= ( young @ sK9 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1413]) ).
thf(f2135,plain,
( ! [X0: $i,X1: $i] :
( ( ( furniture @ X0 @ mactual )
= $false )
| ( $false
= ( young @ sK9 @ mactual ) )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2134]) ).
thf(f2134,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( $false
= ( young @ sK9 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f2072,f1408]) ).
thf(f1408,plain,
( ( $true
= ( young @ sK8 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1407]) ).
thf(f2072,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( young @ sK8 @ mactual ) )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( young @ sK9 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f2052]) ).
thf(f2052,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( young @ sK8 @ mactual ) )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ sK11 @ mactual )
= $false )
| ( $false
= ( in @ X1 @ X0 @ mactual ) )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( $false
= ( young @ sK9 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f1600,f1403]) ).
thf(f1403,plain,
( ( ( qmltpeq @ sK8 @ sK9 @ mactual )
= $false )
| spl0_1 ),
inference(not_proxy_clausification,[status(thm)],[f1401]) ).
thf(f1401,plain,
( ( ( ~ ( qmltpeq @ sK8 @ sK9 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1400]) ).
thf(f1600,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1599]) ).
thf(f1599,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( man @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1598,f1328]) ).
thf(f1328,plain,
( ( $true
= ( eiw_di @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1326]) ).
thf(f1598,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK3 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1597]) ).
thf(f1597,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1596,f1369]) ).
thf(f1369,plain,
( ( ( furniture @ sK3 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1368]) ).
thf(f1596,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ sK3 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1595]) ).
thf(f1595,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $true = $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1594,f1367]) ).
thf(f1367,plain,
( ( $true
= ( seat @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1366]) ).
thf(f1594,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( seat @ sK3 @ mactual ) )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1593]) ).
thf(f1593,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( $false
= ( seat @ sK3 @ mactual ) )
| ( $true = $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1592,f1360]) ).
thf(f1360,plain,
( ( ( eiw_di @ sK11 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1358]) ).
thf(f1592,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( man @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( ( eiw_di @ sK11 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ sK3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1591]) ).
thf(f1591,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ sK3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ sK11 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1590,f1371]) ).
thf(f1371,plain,
( ( $true
= ( front @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1370]) ).
thf(f1590,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( seat @ sK3 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( eiw_di @ sK11 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1588]) ).
thf(f1588,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( seat @ sK3 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK3 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK11 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $true = $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK11 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f407,f1421]) ).
thf(f1421,plain,
( ( $true
= ( in @ sK11 @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1419]) ).
thf(f407,plain,
( ! [X2: $i,X10: $i,X1: $i,X8: $i,X9: $i,X7: $i] :
( ( $false
= ( in @ X10 @ X2 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ X8 @ X10 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f406]) ).
thf(f1319,plain,
( ~ spl0_3
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[status(thm)],[f1318]) ).
thf(f1318,plain,
( $false
| ~ spl0_3
| ~ spl0_20 ),
inference(trivial_inequality_removal,[status(thm)],[f1317]) ).
thf(f1317,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_20 ),
inference(backward_demodulation,[status(thm)],[f893,f1104]) ).
thf(f1104,plain,
( ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ~ spl0_20 ),
inference(avatar_component_clause,[status(thm)],[f1102]) ).
thf(f1102,definition,
( spl0_20
<=> ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) ) ),
introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition]) ).
thf(f893,plain,
( ( $true
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f892]) ).
thf(f892,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f890]) ).
thf(f890,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f888]) ).
thf(f888,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f886]) ).
thf(f886,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f884]) ).
thf(f884,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f882]) ).
thf(f882,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f880]) ).
thf(f880,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f878]) ).
thf(f878,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f875]) ).
thf(f875,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f873]) ).
thf(f873,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f871]) ).
thf(f871,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f869]) ).
thf(f869,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f867]) ).
thf(f867,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f865]) ).
thf(f865,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f863]) ).
thf(f863,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f861]) ).
thf(f861,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f859]) ).
thf(f859,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f857]) ).
thf(f857,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f855]) ).
thf(f855,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f853]) ).
thf(f853,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f851]) ).
thf(f851,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f849]) ).
thf(f849,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f847]) ).
thf(f847,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f845]) ).
thf(f845,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f843]) ).
thf(f843,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f841]) ).
thf(f841,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f839]) ).
thf(f839,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f837]) ).
thf(f837,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f835]) ).
thf(f835,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f832]) ).
thf(f832,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f831]) ).
thf(f831,plain,
( ( $true
= ( ( eiw_di @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f830]) ).
thf(f830,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) )
@ sK21 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f828]) ).
thf(f828,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f827]) ).
thf(f827,plain,
( ( $true
= ( ( eiw_di @ sK20 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f826]) ).
thf(f826,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) )
@ sK20 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f824]) ).
thf(f824,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f823]) ).
thf(f823,plain,
( ( $true
= ( ( eiw_di @ sK19 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f822]) ).
thf(f822,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) )
@ sK19 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f820]) ).
thf(f820,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f819]) ).
thf(f819,plain,
( ( $true
= ( ( eiw_di @ sK18 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f818]) ).
thf(f818,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) )
@ sK18 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f816]) ).
thf(f816,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f815]) ).
thf(f815,plain,
( ( $true
= ( ( eiw_di @ sK17 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f814]) ).
thf(f814,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK17 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f812]) ).
thf(f812,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f811]) ).
thf(f811,plain,
( ( $true
= ( ( eiw_di @ sK16 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f810]) ).
thf(f810,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK16 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f808]) ).
thf(f808,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f807]) ).
thf(f807,plain,
( ( $true
= ( ( eiw_di @ sK15 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f806]) ).
thf(f806,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK15 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f804]) ).
thf(f804,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f803]) ).
thf(f803,plain,
( ( ( ( eiw_di @ sK14 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f802]) ).
thf(f802,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK14 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f800]) ).
thf(f800,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f799]) ).
thf(f799,plain,
( ( $true
= ( ( eiw_di @ sK13 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f798]) ).
thf(f798,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK13 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f796]) ).
thf(f796,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f795]) ).
thf(f795,plain,
( ( $true
= ( ( eiw_di @ sK12 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f794]) ).
thf(f794,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK12 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f230]) ).
thf(f230,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f228]) ).
thf(f228,definition,
( spl0_3
<=> ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f1316,plain,
( ~ spl0_3
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[status(thm)],[f1315]) ).
thf(f1315,plain,
( $false
| ~ spl0_3
| ~ spl0_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1314]) ).
thf(f1314,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_29 ),
inference(backward_demodulation,[status(thm)],[f838,f1313]) ).
thf(f1313,plain,
( ( $false
= ( front @ sK12 @ mactual ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1312]) ).
thf(f1312,plain,
( ( $true = $false )
| ( $false
= ( front @ sK12 @ mactual ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f1311,f797]) ).
thf(f797,plain,
( ( $true
= ( eiw_di @ sK12 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f795]) ).
thf(f1311,plain,
( ( $false
= ( eiw_di @ sK12 @ mactual ) )
| ( $false
= ( front @ sK12 @ mactual ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1310]) ).
thf(f1310,plain,
( ( $false
= ( front @ sK12 @ mactual ) )
| ( $false
= ( eiw_di @ sK12 @ mactual ) )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f1309,f834]) ).
thf(f834,plain,
( ( $true
= ( seat @ sK12 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f832]) ).
thf(f1309,plain,
( ( ( seat @ sK12 @ mactual )
= $false )
| ( $false
= ( front @ sK12 @ mactual ) )
| ( $false
= ( eiw_di @ sK12 @ mactual ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1308]) ).
thf(f1308,plain,
( ( ( seat @ sK12 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( eiw_di @ sK12 @ mactual ) )
| ( $false
= ( front @ sK12 @ mactual ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f1307,f836]) ).
thf(f836,plain,
( ( $true
= ( furniture @ sK12 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f835]) ).
thf(f1307,plain,
( ( $false
= ( furniture @ sK12 @ mactual ) )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( $false
= ( front @ sK12 @ mactual ) )
| ( $false
= ( eiw_di @ sK12 @ mactual ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1305]) ).
thf(f1305,plain,
( ( $false
= ( furniture @ sK12 @ mactual ) )
| ( $false
= ( front @ sK12 @ mactual ) )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK12 @ mactual ) )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_29 ),
inference(superposition,[status(thm)],[f891,f1303]) ).
thf(f1303,plain,
( ! [X0: $i] :
( ( $false
= ( in @ sK20 @ X0 @ mactual ) )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1302]) ).
thf(f1302,plain,
( ! [X0: $i] :
( ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( in @ sK20 @ X0 @ mactual ) )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(forward_demodulation,[status(thm)],[f1295,f829]) ).
thf(f829,plain,
( ( ( eiw_di @ sK20 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f827]) ).
thf(f1295,plain,
( ! [X0: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( in @ sK20 @ X0 @ mactual ) )
| ( ( eiw_di @ sK20 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(trivial_inequality_removal,[status(thm)],[f1284]) ).
thf(f1284,plain,
( ! [X0: $i] :
( ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK20 @ mactual )
= $false )
| ( $false
= ( in @ sK20 @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_29 ),
inference(superposition,[status(thm)],[f889,f1261]) ).
thf(f1261,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_29 ),
inference(avatar_component_clause,[status(thm)],[f1260]) ).
thf(f1260,definition,
( spl0_29
<=> ! [X0: $i,X1: $i] :
( ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition]) ).
thf(f889,plain,
( ( $true
= ( qmltpeq @ sK18 @ sK20 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f888]) ).
thf(f891,plain,
( ( $true
= ( in @ sK20 @ sK12 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f890]) ).
thf(f838,plain,
( ( $true
= ( front @ sK12 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f837]) ).
thf(f1279,plain,
( spl0_29
| spl0_20
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f1278,f406,f228,f1102,f1260]) ).
thf(f1278,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1277]) ).
thf(f1277,plain,
( ! [X0: $i,X1: $i] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1276,f881]) ).
thf(f881,plain,
( ( $true
= ( young @ sK18 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f880]) ).
thf(f1276,plain,
( ! [X0: $i,X1: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1275]) ).
thf(f1275,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( $true = $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1274,f879]) ).
thf(f879,plain,
( ( ( man @ sK18 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f878]) ).
thf(f1274,plain,
( ! [X0: $i,X1: $i] :
( ( ( man @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1273]) ).
thf(f1273,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( $true = $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1272,f825]) ).
thf(f825,plain,
( ( ( eiw_di @ sK19 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f823]) ).
thf(f1272,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1271]) ).
thf(f1271,plain,
( ! [X0: $i,X1: $i] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( $true = $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1270,f883]) ).
thf(f883,plain,
( ( ( fellow @ sK19 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f882]) ).
thf(f1270,plain,
( ! [X0: $i,X1: $i] :
( ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1269]) ).
thf(f1269,plain,
( ! [X0: $i,X1: $i] :
( ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( man @ sK18 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1268,f885]) ).
thf(f885,plain,
( ( $true
= ( man @ sK19 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f884]) ).
thf(f1268,plain,
( ! [X0: $i,X1: $i] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1267]) ).
thf(f1267,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1266,f887]) ).
thf(f887,plain,
( ( $true
= ( young @ sK19 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f886]) ).
thf(f1266,plain,
( ! [X0: $i,X1: $i] :
( ( ( young @ sK19 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1265]) ).
thf(f1265,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1264,f877]) ).
thf(f877,plain,
( ( $true
= ( fellow @ sK18 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f875]) ).
thf(f1264,plain,
( ! [X0: $i,X1: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( $false
= ( fellow @ sK18 @ mactual ) )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1263]) ).
thf(f1263,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( $false
= ( fellow @ sK18 @ mactual ) )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1235,f821]) ).
thf(f821,plain,
( ( $true
= ( eiw_di @ sK18 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f819]) ).
thf(f1235,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ sK18 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1230]) ).
thf(f1230,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( $false
= ( fellow @ sK18 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( qmltpeq @ sK18 @ X0 @ mactual ) )
| ( ( man @ sK18 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f876,f1015]) ).
thf(f1015,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1014]) ).
thf(f1014,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1013,f842]) ).
thf(f842,plain,
( ( $true
= ( furniture @ sK13 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f841]) ).
thf(f1013,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( furniture @ sK13 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1012]) ).
thf(f1012,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( $true = $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( furniture @ sK13 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1011,f840]) ).
thf(f840,plain,
( ( ( seat @ sK13 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f839]) ).
thf(f1011,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( furniture @ sK13 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1010]) ).
thf(f1010,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( $false
= ( furniture @ sK13 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1009,f833]) ).
thf(f833,plain,
( ( ( eiw_di @ sK21 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f831]) ).
thf(f1009,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( man @ X0 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK21 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( $false
= ( furniture @ sK13 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1008]) ).
thf(f1008,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ sK21 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( furniture @ sK13 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1007,f801]) ).
thf(f801,plain,
( ( $true
= ( eiw_di @ sK13 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f799]) ).
thf(f1007,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( $false
= ( eiw_di @ sK13 @ mactual ) )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( eiw_di @ sK21 @ mactual )
= $false )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( young @ X2 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( $false
= ( furniture @ sK13 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1006]) ).
thf(f1006,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( young @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ sK13 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ sK13 @ mactual ) )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( ( eiw_di @ sK21 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1005,f844]) ).
thf(f844,plain,
( ( $true
= ( front @ sK13 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f843]) ).
thf(f1005,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( in @ X3 @ X1 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ sK13 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK13 @ mactual ) )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( eiw_di @ sK21 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X0 @ mactual ) )
| ( $false
= ( furniture @ sK13 @ mactual ) )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( fellow @ X2 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f993]) ).
thf(f993,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( fellow @ X0 @ mactual ) )
| ( $true
= ( qmltpeq @ X2 @ X0 @ mactual ) )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( $true = $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK13 @ mactual ) )
| ( ( fellow @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( front @ sK13 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK21 @ mactual )
= $false )
| ( $false
= ( man @ X2 @ mactual ) )
| ( ( man @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X0 @ sK21 @ mactual ) )
| ( $false
= ( furniture @ sK13 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( young @ X0 @ mactual ) )
| ( ( young @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X2 @ X3 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( in @ X3 @ X1 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f407,f894]) ).
thf(f894,plain,
( ( $true
= ( in @ sK21 @ sK13 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f892]) ).
thf(f876,plain,
( ( $false
= ( qmltpeq @ sK18 @ sK19 @ mactual ) )
| ~ spl0_3 ),
inference(not_proxy_clausification,[status(thm)],[f874]) ).
thf(f874,plain,
( ( $true
= ( ~ ( qmltpeq @ sK18 @ sK19 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f873]) ).
thf(f990,plain,
( spl0_5
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f989,f219,f406,f403]) ).
thf(f403,definition,
( spl0_5
<=> ! [X5: $i,X4: $i,X6: $i,X3: $i] :
( ( ( dirty @ X6 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f989,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( chevy @ X5 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( in @ X10 @ X2 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( qmltpeq @ X8 @ X10 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f988]) ).
thf(f988,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( $false
= ( man @ X7 @ mactual ) )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual ) ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f987]) ).
thf(f987,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual ) ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( young @ X7 @ mactual ) )
| ( $false
= ( street @ X6 @ mactual ) )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f986]) ).
thf(f986,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual ) )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( $false
= ( white @ X5 @ mactual ) )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f985]) ).
thf(f985,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( man @ X8 @ mactual ) )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual ) )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f984]) ).
thf(f984,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual ) ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f983]) ).
thf(f983,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( old @ X5 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual ) )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f982]) ).
thf(f982,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual ) )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f981]) ).
thf(f981,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual ) )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(not_proxy_clausification,[status(thm)],[f980]) ).
thf(f980,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual ) )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f979]) ).
thf(f979,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f978]) ).
thf(f978,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f977]) ).
thf(f977,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual ) )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f976]) ).
thf(f976,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( car @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual ) ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f975]) ).
thf(f975,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( lonely @ X6 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual ) )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( dirty @ X5 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f974]) ).
thf(f974,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual ) ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f973]) ).
thf(f973,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual ) )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( old @ X5 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f972]) ).
thf(f972,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( old @ X5 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual ) ) )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f971]) ).
thf(f971,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual ) ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( dirty @ X5 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f970]) ).
thf(f970,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual ) )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( white @ X5 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f969]) ).
thf(f969,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( front @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f968]) ).
thf(f968,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual ) ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f967]) ).
thf(f967,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual ) ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f966]) ).
thf(f966,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual ) ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f965]) ).
thf(f965,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual ) ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f964]) ).
thf(f964,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual ) ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f963]) ).
thf(f963,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual ) ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f962]) ).
thf(f962,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f961]) ).
thf(f961,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual ) ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f960]) ).
thf(f960,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f959]) ).
thf(f959,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual ) ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f958]) ).
thf(f958,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f957]) ).
thf(f957,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( ( eiw_di @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f956]) ).
thf(f956,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) )
@ X10 )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f955]) ).
thf(f955,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f954]) ).
thf(f954,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ( eiw_di @ X9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f953]) ).
thf(f953,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) )
@ X9 )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f952]) ).
thf(f952,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f951]) ).
thf(f951,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( ( eiw_di @ X8 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f950]) ).
thf(f950,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) )
@ X8 )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f949]) ).
thf(f949,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f948]) ).
thf(f948,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ( eiw_di @ X7 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f947]) ).
thf(f947,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
@ X7 )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f946]) ).
thf(f946,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f945]) ).
thf(f945,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( ( eiw_di @ X6 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( street @ X6 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f944]) ).
thf(f944,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
@ X6 )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f943]) ).
thf(f943,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f942]) ).
thf(f942,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( ( eiw_di @ X5 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( chevy @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f941]) ).
thf(f941,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y1 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ X5 ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f940]) ).
thf(f940,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y1 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f939]) ).
thf(f939,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ( eiw_di @ X4 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y1 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f938]) ).
thf(f938,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X4 ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f937]) ).
thf(f937,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f936]) ).
thf(f936,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( ( eiw_di @ X3 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f935]) ).
thf(f935,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X3 )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f897]) ).
thf(f897,plain,
( ! [X2: $i,X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f896]) ).
thf(f896,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ( eiw_di @ X2 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f895]) ).
thf(f895,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X2 ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f793]) ).
thf(f793,plain,
( ! [X1: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f792]) ).
thf(f792,plain,
( ! [X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f791]) ).
thf(f791,plain,
( ! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X1 ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f221]) ).
thf(f221,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f219]) ).
thf(f934,plain,
( ~ spl0_3
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[status(thm)],[f933]) ).
thf(f933,plain,
( $false
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f932]) ).
thf(f932,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f846,f931]) ).
thf(f931,plain,
( ( $false
= ( hollywood @ sK14 @ mactual ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f930]) ).
thf(f930,plain,
( ( $false
= ( hollywood @ sK14 @ mactual ) )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f929,f848]) ).
thf(f848,plain,
( ( ( city @ sK14 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f847]) ).
thf(f929,plain,
( ( ( city @ sK14 @ mactual )
= $false )
| ( $false
= ( hollywood @ sK14 @ mactual ) )
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f928]) ).
thf(f928,plain,
( ( $false
= ( hollywood @ sK14 @ mactual ) )
| ( $true = $false )
| ( ( city @ sK14 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f927,f805]) ).
thf(f805,plain,
( ( ( eiw_di @ sK14 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f803]) ).
thf(f927,plain,
( ( ( eiw_di @ sK14 @ mactual )
= $false )
| ( $false
= ( hollywood @ sK14 @ mactual ) )
| ( ( city @ sK14 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f925]) ).
thf(f925,plain,
( ( ( city @ sK14 @ mactual )
= $false )
| ( $false
= ( hollywood @ sK14 @ mactual ) )
| ( ( eiw_di @ sK14 @ mactual )
= $false )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[status(thm)],[f872,f645]) ).
thf(f645,plain,
( ! [X1: $i] :
( ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f644]) ).
thf(f644,definition,
( spl0_13
<=> ! [X1: $i] :
( ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( in @ sK15 @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition]) ).
thf(f872,plain,
( ( $true
= ( in @ sK15 @ sK14 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f871]) ).
thf(f846,plain,
( ( $true
= ( hollywood @ sK14 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f845]) ).
thf(f914,plain,
( ~ spl0_3
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[status(thm)],[f913]) ).
thf(f913,plain,
( $false
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f912]) ).
thf(f912,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f862,f911]) ).
thf(f911,plain,
( ( ( white @ sK17 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f910]) ).
thf(f910,plain,
( ( $true = $false )
| ( ( white @ sK17 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f909,f864]) ).
thf(f864,plain,
( ( $true
= ( dirty @ sK17 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f863]) ).
thf(f909,plain,
( ( $false
= ( dirty @ sK17 @ mactual ) )
| ( ( white @ sK17 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f908]) ).
thf(f908,plain,
( ( ( white @ sK17 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( dirty @ sK17 @ mactual ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f907,f860]) ).
thf(f860,plain,
( ( $true
= ( car @ sK17 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f859]) ).
thf(f907,plain,
( ( ( car @ sK17 @ mactual )
= $false )
| ( ( white @ sK17 @ mactual )
= $false )
| ( $false
= ( dirty @ sK17 @ mactual ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f906]) ).
thf(f906,plain,
( ( ( white @ sK17 @ mactual )
= $false )
| ( $false
= ( dirty @ sK17 @ mactual ) )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f905,f866]) ).
thf(f866,plain,
( ( $true
= ( old @ sK17 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f865]) ).
thf(f905,plain,
( ( ( white @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $false
= ( dirty @ sK17 @ mactual ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f904]) ).
thf(f904,plain,
( ( ( car @ sK17 @ mactual )
= $false )
| ( $true = $false )
| ( ( white @ sK17 @ mactual )
= $false )
| ( $false
= ( dirty @ sK17 @ mactual ) )
| ( ( old @ sK17 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f903,f817]) ).
thf(f817,plain,
( ( $true
= ( eiw_di @ sK17 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f815]) ).
thf(f903,plain,
( ( ( eiw_di @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( ( white @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( $false
= ( dirty @ sK17 @ mactual ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f902]) ).
thf(f902,plain,
( ( $false
= ( dirty @ sK17 @ mactual ) )
| ( ( car @ sK17 @ mactual )
= $false )
| ( ( white @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( ( eiw_di @ sK17 @ mactual )
= $false )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f901,f858]) ).
thf(f858,plain,
( ( $true
= ( chevy @ sK17 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f857]) ).
thf(f901,plain,
( ( ( chevy @ sK17 @ mactual )
= $false )
| ( ( eiw_di @ sK17 @ mactual )
= $false )
| ( ( white @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( $false
= ( dirty @ sK17 @ mactual ) )
| ~ spl0_3
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f899]) ).
thf(f899,plain,
( ( ( car @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( $true = $false )
| ( ( white @ sK17 @ mactual )
= $false )
| ( ( chevy @ sK17 @ mactual )
= $false )
| ( $false
= ( dirty @ sK17 @ mactual ) )
| ( ( eiw_di @ sK17 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[status(thm)],[f648,f868]) ).
thf(f868,plain,
( ( ( barrel @ sK15 @ sK17 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f867]) ).
thf(f648,plain,
( ! [X0: $i] :
( ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[status(thm)],[f647]) ).
thf(f647,definition,
( spl0_14
<=> ! [X0: $i] :
( ( ( white @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition]) ).
thf(f862,plain,
( ( ( white @ sK17 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f861]) ).
thf(f789,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[status(thm)],[f788]) ).
thf(f788,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f787]) ).
thf(f787,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f729,f786]) ).
thf(f786,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f785]) ).
thf(f785,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f784,f733]) ).
thf(f733,plain,
( ( ( old @ sK6 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f732]) ).
thf(f732,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f730]) ).
thf(f730,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f728]) ).
thf(f728,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f726]) ).
thf(f726,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f724]) ).
thf(f724,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f722]) ).
thf(f722,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f720]) ).
thf(f720,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f718]) ).
thf(f718,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f716]) ).
thf(f716,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f714]) ).
thf(f714,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f712]) ).
thf(f712,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f710]) ).
thf(f710,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f708]) ).
thf(f708,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f705]) ).
thf(f705,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f704]) ).
thf(f704,plain,
( ( $true
= ( ( eiw_di @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f703]) ).
thf(f703,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) )
@ sK11 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f701]) ).
thf(f701,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f700]) ).
thf(f700,plain,
( ( $true
= ( ( eiw_di @ sK10 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f699]) ).
thf(f699,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) )
@ sK10 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f697]) ).
thf(f697,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f696]) ).
thf(f696,plain,
( ( $true
= ( ( eiw_di @ sK9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f695]) ).
thf(f695,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) )
@ sK9 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f693]) ).
thf(f693,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f692]) ).
thf(f692,plain,
( ( $true
= ( ( eiw_di @ sK8 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f691]) ).
thf(f691,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) )
@ sK8 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f689]) ).
thf(f689,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f688]) ).
thf(f688,plain,
( ( $true
= ( ( eiw_di @ sK7 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f687]) ).
thf(f687,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK7 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f685]) ).
thf(f685,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f684]) ).
thf(f684,plain,
( ( $true
= ( ( eiw_di @ sK6 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f683]) ).
thf(f683,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK6 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f681]) ).
thf(f681,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f680]) ).
thf(f680,plain,
( ( $true
= ( ( eiw_di @ sK5 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f679]) ).
thf(f679,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK5 )
= $true )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f677]) ).
thf(f677,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f676]) ).
thf(f676,plain,
( ( $true
= ( ( eiw_di @ sK4 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f675]) ).
thf(f675,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f673]) ).
thf(f673,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f672]) ).
thf(f672,plain,
( ( $true
= ( ( eiw_di @ sK3 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f671]) ).
thf(f671,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f669]) ).
thf(f669,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f668]) ).
thf(f668,plain,
( ( ( ( eiw_di @ sK2 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f667]) ).
thf(f667,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f220]) ).
thf(f784,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f783]) ).
thf(f783,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f782,f727]) ).
thf(f727,plain,
( ( $true
= ( car @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f726]) ).
thf(f782,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f781]) ).
thf(f781,plain,
( ( ( car @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f780,f725]) ).
thf(f725,plain,
( ( $true
= ( chevy @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f724]) ).
thf(f780,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f779]) ).
thf(f779,plain,
( ( ( old @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f778,f731]) ).
thf(f731,plain,
( ( $true
= ( dirty @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f730]) ).
thf(f778,plain,
( ( ( dirty @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f777]) ).
thf(f777,plain,
( ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f776,f686]) ).
thf(f686,plain,
( ( $true
= ( eiw_di @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f684]) ).
thf(f776,plain,
( ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f773]) ).
thf(f773,plain,
( ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(superposition,[status(thm)],[f741,f430]) ).
thf(f430,plain,
( ! [X1: $i] :
( ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[status(thm)],[f429]) ).
thf(f429,definition,
( spl0_8
<=> ! [X1: $i] :
( ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
thf(f741,plain,
( ( ( barrel @ sK5 @ sK6 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f740]) ).
thf(f740,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f738]) ).
thf(f738,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f736]) ).
thf(f736,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f734]) ).
thf(f734,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f732]) ).
thf(f729,plain,
( ( $true
= ( white @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f728]) ).
thf(f665,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[status(thm)],[f664]) ).
thf(f664,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(trivial_inequality_removal,[status(thm)],[f663]) ).
thf(f663,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f225,f221]) ).
thf(f225,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f223]) ).
thf(f223,definition,
( spl0_2
<=> ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f662,plain,
( spl0_14
| spl0_13
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f661,f403,f228,f644,f647]) ).
thf(f661,plain,
( ! [X0: $i,X1: $i] :
( ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f660]) ).
thf(f660,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( city @ X1 @ mactual ) )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f659,f585]) ).
thf(f585,plain,
( ( $true
= ( lonely @ sK16 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f584]) ).
thf(f584,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f582]) ).
thf(f582,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f580]) ).
thf(f580,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f578]) ).
thf(f578,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f576]) ).
thf(f576,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f574]) ).
thf(f574,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f572]) ).
thf(f572,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f570]) ).
thf(f570,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f568]) ).
thf(f568,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f566]) ).
thf(f566,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f564]) ).
thf(f564,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f561]) ).
thf(f561,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f560]) ).
thf(f560,plain,
( ( $true
= ( ( eiw_di @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f559]) ).
thf(f559,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) )
@ sK21 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f557]) ).
thf(f557,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f556]) ).
thf(f556,plain,
( ( $true
= ( ( eiw_di @ sK20 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f555]) ).
thf(f555,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) )
@ sK20 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f553]) ).
thf(f553,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f552]) ).
thf(f552,plain,
( ( $true
= ( ( eiw_di @ sK19 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f551]) ).
thf(f551,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) )
@ sK19 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f549]) ).
thf(f549,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f548]) ).
thf(f548,plain,
( ( $true
= ( ( eiw_di @ sK18 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f547]) ).
thf(f547,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) )
@ sK18 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f545]) ).
thf(f545,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f544]) ).
thf(f544,plain,
( ( $true
= ( ( eiw_di @ sK17 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f543]) ).
thf(f543,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK17 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f541]) ).
thf(f541,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f540]) ).
thf(f540,plain,
( ( $true
= ( ( eiw_di @ sK16 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( street @ sK16 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f539]) ).
thf(f539,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK16 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f537]) ).
thf(f537,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f536]) ).
thf(f536,plain,
( ( $true
= ( ( eiw_di @ sK15 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ sK15 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f535]) ).
thf(f535,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK15 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f533]) ).
thf(f533,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f532]) ).
thf(f532,plain,
( ( ( ( eiw_di @ sK14 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK14 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f531]) ).
thf(f531,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK14 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f529]) ).
thf(f529,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f528]) ).
thf(f528,plain,
( ( $true
= ( ( eiw_di @ sK13 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( seat @ sK13 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f527]) ).
thf(f527,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK13 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f525]) ).
thf(f525,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f524]) ).
thf(f524,plain,
( ( $true
= ( ( eiw_di @ sK12 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( seat @ sK12 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f523]) ).
thf(f523,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK12 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f230]) ).
thf(f659,plain,
( ! [X0: $i,X1: $i] :
( ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f658]) ).
thf(f658,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f657,f538]) ).
thf(f538,plain,
( ( ( eiw_di @ sK15 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f536]) ).
thf(f657,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f656]) ).
thf(f656,plain,
( ! [X0: $i,X1: $i] :
( ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f655,f579]) ).
thf(f579,plain,
( ( $true
= ( event @ sK15 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f578]) ).
thf(f655,plain,
( ! [X0: $i,X1: $i] :
( ( ( event @ sK15 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f654]) ).
thf(f654,plain,
( ! [X0: $i,X1: $i] :
( ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( $true = $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f653,f581]) ).
thf(f581,plain,
( ( $true
= ( street @ sK16 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f580]) ).
thf(f653,plain,
( ! [X0: $i,X1: $i] :
( ( ( street @ sK16 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f652]) ).
thf(f652,plain,
( ! [X0: $i,X1: $i] :
( ( ( car @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( $true = $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f651,f583]) ).
thf(f583,plain,
( ( $true
= ( way @ sK16 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f582]) ).
thf(f651,plain,
( ! [X0: $i,X1: $i] :
( ( ( car @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( old @ X0 @ mactual )
= $false )
| ( $false
= ( way @ sK16 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f650]) ).
thf(f650,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( $false
= ( way @ sK16 @ mactual ) )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f629,f542]) ).
thf(f542,plain,
( ( $true
= ( eiw_di @ sK16 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f540]) ).
thf(f629,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( eiw_di @ sK16 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( $false
= ( way @ sK16 @ mactual ) )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( lonely @ sK16 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f627]) ).
thf(f627,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X0 @ mactual ) )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( way @ sK16 @ mactual ) )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK16 @ mactual ) )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f599,f404]) ).
thf(f404,plain,
( ! [X3: $i,X6: $i,X4: $i,X5: $i] :
( ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f403]) ).
thf(f599,plain,
( ( $true
= ( down @ sK15 @ sK16 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f598]) ).
thf(f598,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f596]) ).
thf(f596,plain,
( ( ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f594]) ).
thf(f594,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f592]) ).
thf(f592,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f590]) ).
thf(f590,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f588]) ).
thf(f588,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f586]) ).
thf(f586,plain,
( ( $true
= ( ( in @ sK21 @ sK13 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( young @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( young @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( fellow @ sK18 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( chevy @ sK17 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f584]) ).
thf(f515,plain,
( ~ spl0_2
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f514]) ).
thf(f514,plain,
( $false
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f513]) ).
thf(f513,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f295,f512]) ).
thf(f512,plain,
( ( ( hollywood @ sK4 @ mactual )
= $false )
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f511]) ).
thf(f511,plain,
( ( ( hollywood @ sK4 @ mactual )
= $false )
| ( $true = $false )
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f510,f297]) ).
thf(f297,plain,
( ( ( city @ sK4 @ mactual )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f296]) ).
thf(f296,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f294]) ).
thf(f294,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f292]) ).
thf(f292,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f290]) ).
thf(f290,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f288]) ).
thf(f288,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f286]) ).
thf(f286,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f284]) ).
thf(f284,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f281]) ).
thf(f281,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f280]) ).
thf(f280,plain,
( ( $true
= ( ( eiw_di @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f279]) ).
thf(f279,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) )
@ sK11 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f277]) ).
thf(f277,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f276]) ).
thf(f276,plain,
( ( $true
= ( ( eiw_di @ sK10 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f275]) ).
thf(f275,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) )
@ sK10 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f273]) ).
thf(f273,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f272]) ).
thf(f272,plain,
( ( $true
= ( ( eiw_di @ sK9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f271]) ).
thf(f271,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) )
@ sK9 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f269]) ).
thf(f269,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f268]) ).
thf(f268,plain,
( ( $true
= ( ( eiw_di @ sK8 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f267]) ).
thf(f267,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) )
@ sK8 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f265]) ).
thf(f265,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f264]) ).
thf(f264,plain,
( ( $true
= ( ( eiw_di @ sK7 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f263]) ).
thf(f263,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK7 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f261]) ).
thf(f261,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f260]) ).
thf(f260,plain,
( ( $true
= ( ( eiw_di @ sK6 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f259]) ).
thf(f259,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK6 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f257]) ).
thf(f257,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f256]) ).
thf(f256,plain,
( ( $true
= ( ( eiw_di @ sK5 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( event @ sK5 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f255]) ).
thf(f255,plain,
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK5 )
= $true )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f253]) ).
thf(f253,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f252]) ).
thf(f252,plain,
( ( $true
= ( ( eiw_di @ sK4 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ sK4 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f251]) ).
thf(f251,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f249]) ).
thf(f249,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f248]) ).
thf(f248,plain,
( ( $true
= ( ( eiw_di @ sK3 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( seat @ sK3 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f247]) ).
thf(f247,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f242]) ).
thf(f242,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f241]) ).
thf(f241,plain,
( ( ( ( eiw_di @ sK2 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( seat @ sK2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f240]) ).
thf(f240,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) )
| ~ spl0_2 ),
inference(sigma_clausification,[status(thm)],[f225]) ).
thf(f510,plain,
( ( ( hollywood @ sK4 @ mactual )
= $false )
| ( ( city @ sK4 @ mactual )
= $false )
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f509]) ).
thf(f509,plain,
( ( ( city @ sK4 @ mactual )
= $false )
| ( $true = $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| ~ spl0_2
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f508,f254]) ).
thf(f254,plain,
( ( ( eiw_di @ sK4 @ mactual )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f252]) ).
thf(f508,plain,
( ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| ( ( city @ sK4 @ mactual )
= $false )
| ~ spl0_2
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f506]) ).
thf(f506,plain,
( ( ( city @ sK4 @ mactual )
= $false )
| ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( $true = $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f321,f427]) ).
thf(f427,plain,
( ! [X0: $i] :
( ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( $false
= ( hollywood @ X0 @ mactual ) ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f426]) ).
thf(f426,definition,
( spl0_7
<=> ! [X0: $i] :
( ( ( city @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f321,plain,
( ( $true
= ( in @ sK5 @ sK4 @ mactual ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f320]) ).
thf(f320,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f318]) ).
thf(f318,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f316]) ).
thf(f316,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f314]) ).
thf(f314,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f312]) ).
thf(f312,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f310]) ).
thf(f310,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f308]) ).
thf(f308,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f306]) ).
thf(f306,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f304]) ).
thf(f304,plain,
( ( ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual ) )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f302]) ).
thf(f302,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f300]) ).
thf(f300,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f298]) ).
thf(f298,plain,
( ( $true
= ( ( in @ sK11 @ sK3 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( young @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( young @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( fellow @ sK8 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( street @ sK7 @ mactual )
& ( old @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( event @ sK5 @ mactual ) ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f296]) ).
thf(f295,plain,
( ( $true
= ( hollywood @ sK4 @ mactual ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f294]) ).
thf(f444,plain,
( spl0_8
| spl0_7
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f443,f403,f223,f426,f429]) ).
thf(f443,plain,
( ! [X0: $i,X1: $i] :
( ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( $false
= ( car @ X1 @ mactual ) )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f442]) ).
thf(f442,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( car @ X1 @ mactual ) )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( city @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f441,f299]) ).
thf(f299,plain,
( ( $true
= ( event @ sK5 @ mactual ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f298]) ).
thf(f441,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( hollywood @ X0 @ mactual ) )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f440]) ).
thf(f440,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( $false
= ( car @ X1 @ mactual ) ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f439,f313]) ).
thf(f313,plain,
( ( $true
= ( way @ sK7 @ mactual ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f312]) ).
thf(f439,plain,
( ! [X0: $i,X1: $i] :
( ( ( way @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( $false
= ( car @ X1 @ mactual ) )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f438]) ).
thf(f438,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( $true = $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f437,f315]) ).
thf(f315,plain,
( ( $true
= ( lonely @ sK7 @ mactual ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f314]) ).
thf(f437,plain,
( ! [X0: $i,X1: $i] :
( ( ( lonely @ sK7 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f436]) ).
thf(f436,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( city @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f435,f266]) ).
thf(f266,plain,
( ( $true
= ( eiw_di @ sK7 @ mactual ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f264]) ).
thf(f435,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f434]) ).
thf(f434,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f433,f311]) ).
thf(f311,plain,
( ( $true
= ( street @ sK7 @ mactual ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f310]) ).
thf(f433,plain,
( ! [X0: $i,X1: $i] :
( ( ( city @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( $false
= ( street @ sK7 @ mactual ) )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f432]) ).
thf(f432,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( car @ X1 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( street @ sK7 @ mactual ) )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( white @ X1 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f411,f258]) ).
thf(f258,plain,
( ( $true
= ( eiw_di @ sK5 @ mactual ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f256]) ).
thf(f411,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( hollywood @ X0 @ mactual ) )
| ( $false
= ( car @ X1 @ mactual ) )
| ( ( city @ X0 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( street @ sK7 @ mactual ) )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( $false
= ( event @ sK5 @ mactual ) ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f410]) ).
thf(f410,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( ( in @ sK5 @ X0 @ mactual )
= $false )
| ( $false
= ( street @ sK7 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( city @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( $false
= ( car @ X1 @ mactual ) )
| ( $false
= ( event @ sK5 @ mactual ) )
| ( $false
= ( hollywood @ X0 @ mactual ) )
| ( ( white @ X1 @ mactual )
= $false )
| ( $false
= ( dirty @ X1 @ mactual ) )
| ( ( barrel @ sK5 @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false ) )
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f319,f404]) ).
thf(f319,plain,
( ( ( down @ sK5 @ sK7 @ mactual )
= $true )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f318]) ).
thf(f408,plain,
( spl0_5
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f401,f235,f406,f403]) ).
thf(f235,definition,
( spl0_4
<=> ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f401,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( $false
= ( in @ X10 @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( qmltpeq @ X8 @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( young @ X7 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f400]) ).
thf(f400,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( man @ X7 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f399]) ).
thf(f399,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( white @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( street @ X5 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( young @ X7 @ mactual ) )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual ) ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f398]) ).
thf(f398,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual ) )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( man @ X8 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f397]) ).
thf(f397,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( man @ X8 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual ) )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f396]) ).
thf(f396,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $false
= ( fellow @ X8 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual ) ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f395]) ).
thf(f395,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( young @ X7 @ mactual ) )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f394]) ).
thf(f394,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( car @ X6 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X8 @ mactual )
= $true )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual ) )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) ) )
| ~ spl0_4 ),
inference(not_proxy_clausification,[status(thm)],[f393]) ).
thf(f393,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual ) )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( man @ X7 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f392]) ).
thf(f392,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual ) )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( $false
= ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f391]) ).
thf(f391,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( dirty @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual ) )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f390]) ).
thf(f390,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( dirty @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f389]) ).
thf(f389,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual ) )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f388]) ).
thf(f388,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( dirty @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual ) ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f387]) ).
thf(f387,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual ) )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f386]) ).
thf(f386,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( street @ X5 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual ) )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f385]) ).
thf(f385,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual ) ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f384]) ).
thf(f384,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( car @ X6 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f383]) ).
thf(f383,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( chevy @ X6 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual ) ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f382]) ).
thf(f382,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual ) ) )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f381]) ).
thf(f381,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( event @ X4 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f380]) ).
thf(f380,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( street @ X5 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual ) )
= $false )
| ( ( event @ X4 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f379]) ).
thf(f379,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual ) ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f378]) ).
thf(f378,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f377]) ).
thf(f377,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual ) )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f376]) ).
thf(f376,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual ) )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f375]) ).
thf(f375,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual ) ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f374]) ).
thf(f374,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual ) ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f373]) ).
thf(f373,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual ) ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f372]) ).
thf(f372,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f371]) ).
thf(f371,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual ) )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f370]) ).
thf(f370,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f369]) ).
thf(f369,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( ( eiw_di @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) )
= $false ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f368]) ).
thf(f368,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) )
@ X10 ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f367]) ).
thf(f367,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f366]) ).
thf(f366,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( ( eiw_di @ X9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f365]) ).
thf(f365,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) )
@ X9 )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f364]) ).
thf(f364,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X8 @ mactual ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f363]) ).
thf(f363,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( eiw_di @ X8 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( young @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( fellow @ X8 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f362]) ).
thf(f362,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) )
@ X8 ) ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f361]) ).
thf(f361,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f360]) ).
thf(f360,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( ( eiw_di @ X7 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( young @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( fellow @ X7 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f359]) ).
thf(f359,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) )
@ X7 )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f358]) ).
thf(f358,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f357]) ).
thf(f357,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( eiw_di @ X6 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( young @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( fellow @ Y0 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( chevy @ X6 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
= $false ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f356]) ).
thf(f356,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) )
@ X6 )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f355]) ).
thf(f355,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f354]) ).
thf(f354,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ( eiw_di @ X5 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( young @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( fellow @ Y1 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( lonely @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( street @ X5 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
= $false ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f353]) ).
thf(f353,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( barrel @ X4 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ X5 ) ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f352]) ).
thf(f352,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( barrel @ X4 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f351]) ).
thf(f351,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( $false
= ( ( eiw_di @ X4 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( young @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( fellow @ Y2 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( barrel @ X4 @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( street @ Y0 @ mactual )
& ( event @ X4 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f350]) ).
thf(f350,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X4 )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f349]) ).
thf(f349,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f348]) ).
thf(f348,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ( eiw_di @ X3 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( young @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( fellow @ Y3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( street @ Y1 @ mactual )
& ( event @ Y0 @ mactual )
& ( city @ X3 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f347]) ).
thf(f347,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X3 ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f346]) ).
thf(f346,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( eiw_di @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f345]) ).
thf(f345,plain,
( ! [X2: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( eiw_di @ X2 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( young @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( fellow @ Y4 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( street @ Y2 @ mactual )
& ( event @ Y1 @ mactual )
& ( city @ Y0 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( front @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( seat @ X2 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f344]) ).
thf(f344,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X2 ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f246]) ).
thf(f246,plain,
( ! [X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f245]) ).
thf(f245,plain,
( ! [X1: $i] :
( $false
= ( ( eiw_di @ X1 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( young @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( fellow @ Y5 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( street @ Y3 @ mactual )
& ( event @ Y2 @ mactual )
& ( city @ Y1 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual )
& ( front @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( seat @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f244]) ).
thf(f244,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X1 )
= $false )
| ~ spl0_4 ),
inference(pi_clausification,[status(thm)],[f237]) ).
thf(f237,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f235]) ).
thf(f239,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f232,f219,f235]) ).
thf(f232,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f214]) ).
thf(f214,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f213]) ).
thf(f213,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f212]) ).
thf(f212,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f211]) ).
thf(f211,plain,
( $true
= ( ~ ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f178]) ).
thf(f178,plain,
( ( ~ ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
& ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y3 )
& ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: $i] :
( ^ [Y3: $i > mworld > $o,Y4: mworld] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ Y4 )
& ( Y3 @ Y5 @ Y4 ) ) )
@ ^ [Y3: $i] :
( ^ [Y4: $i > mworld > $o,Y5: mworld] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ Y5 )
& ( Y4 @ Y6 @ Y5 ) ) )
@ ^ [Y4: $i] :
( ^ [Y5: $i > mworld > $o,Y6: mworld] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ Y6 )
& ( Y5 @ Y7 @ Y6 ) ) )
@ ^ [Y5: $i] :
( ^ [Y6: $i > mworld > $o,Y7: mworld] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ Y7 )
& ( Y6 @ Y8 @ Y7 ) ) )
@ ^ [Y6: $i] :
( ^ [Y7: $i > mworld > $o,Y8: mworld] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ Y8 )
& ( Y7 @ Y9 @ Y8 ) ) )
@ ^ [Y7: $i] :
( ^ [Y8: $i > mworld > $o,Y9: mworld] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( eiw_di @ Y10 @ Y9 )
& ( Y8 @ Y10 @ Y9 ) ) )
@ ^ [Y8: $i] :
( ^ [Y9: $i > mworld > $o,Y10: mworld] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( eiw_di @ Y11 @ Y10 )
& ( Y9 @ Y11 @ Y10 ) ) )
@ ^ [Y9: $i] :
( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( seat @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( furniture @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( front @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( seat @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( furniture @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( front @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( hollywood @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( city @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( event @ Y3 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( street @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( way @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( lonely @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( chevy @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( car @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( white @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( dirty @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( old @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( barrel @ Y3 @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( down @ Y3 @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( in @ Y3 @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld] :
~ ( Y10 @ Y11 )
@ ( qmltpeq @ Y6 @ Y7 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( fellow @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( man @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( young @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( fellow @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( man @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( young @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( qmltpeq @ Y6 @ Y8 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( in @ Y8 @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( qmltpeq @ Y7 @ Y9 )
@ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
& ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y3 )
& ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: $i] :
( ^ [Y3: $i > mworld > $o,Y4: mworld] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ Y4 )
& ( Y3 @ Y5 @ Y4 ) ) )
@ ^ [Y3: $i] :
( ^ [Y4: $i > mworld > $o,Y5: mworld] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ Y5 )
& ( Y4 @ Y6 @ Y5 ) ) )
@ ^ [Y4: $i] :
( ^ [Y5: $i > mworld > $o,Y6: mworld] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ Y6 )
& ( Y5 @ Y7 @ Y6 ) ) )
@ ^ [Y5: $i] :
( ^ [Y6: $i > mworld > $o,Y7: mworld] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ Y7 )
& ( Y6 @ Y8 @ Y7 ) ) )
@ ^ [Y6: $i] :
( ^ [Y7: $i > mworld > $o,Y8: mworld] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ Y8 )
& ( Y7 @ Y9 @ Y8 ) ) )
@ ^ [Y7: $i] :
( ^ [Y8: $i > mworld > $o,Y9: mworld] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( eiw_di @ Y10 @ Y9 )
& ( Y8 @ Y10 @ Y9 ) ) )
@ ^ [Y8: $i] :
( ^ [Y9: $i > mworld > $o,Y10: mworld] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( eiw_di @ Y11 @ Y10 )
& ( Y9 @ Y11 @ Y10 ) ) )
@ ^ [Y9: $i] :
( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( seat @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( furniture @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( front @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( seat @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( furniture @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( front @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( hollywood @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( city @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( event @ Y3 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( chevy @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( car @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( white @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( dirty @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( old @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( street @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( way @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( lonely @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( barrel @ Y3 @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( down @ Y3 @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( in @ Y3 @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld] :
~ ( Y10 @ Y11 )
@ ( qmltpeq @ Y6 @ Y7 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( fellow @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( man @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( young @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( fellow @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( man @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( young @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( qmltpeq @ Y6 @ Y8 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( in @ Y8 @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( qmltpeq @ Y7 @ Y9 )
@ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
& ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y3 )
& ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: $i] :
( ^ [Y3: $i > mworld > $o,Y4: mworld] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ Y4 )
& ( Y3 @ Y5 @ Y4 ) ) )
@ ^ [Y3: $i] :
( ^ [Y4: $i > mworld > $o,Y5: mworld] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ Y5 )
& ( Y4 @ Y6 @ Y5 ) ) )
@ ^ [Y4: $i] :
( ^ [Y5: $i > mworld > $o,Y6: mworld] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ Y6 )
& ( Y5 @ Y7 @ Y6 ) ) )
@ ^ [Y5: $i] :
( ^ [Y6: $i > mworld > $o,Y7: mworld] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ Y7 )
& ( Y6 @ Y8 @ Y7 ) ) )
@ ^ [Y6: $i] :
( ^ [Y7: $i > mworld > $o,Y8: mworld] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ Y8 )
& ( Y7 @ Y9 @ Y8 ) ) )
@ ^ [Y7: $i] :
( ^ [Y8: $i > mworld > $o,Y9: mworld] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( eiw_di @ Y10 @ Y9 )
& ( Y8 @ Y10 @ Y9 ) ) )
@ ^ [Y8: $i] :
( ^ [Y9: $i > mworld > $o,Y10: mworld] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( eiw_di @ Y11 @ Y10 )
& ( Y9 @ Y11 @ Y10 ) ) )
@ ^ [Y9: $i] :
( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( seat @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( furniture @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( front @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( seat @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( furniture @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( front @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( hollywood @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( city @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( event @ Y3 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( chevy @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( car @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( white @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( dirty @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( old @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( street @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( way @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( lonely @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( barrel @ Y3 @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( down @ Y3 @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( in @ Y3 @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld] :
~ ( Y10 @ Y11 )
@ ( qmltpeq @ Y6 @ Y7 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( fellow @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( man @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( young @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( fellow @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( man @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( young @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( qmltpeq @ Y6 @ Y8 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( in @ Y8 @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( qmltpeq @ Y7 @ Y9 )
@ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ Y2 )
& ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ Y3 )
& ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: $i] :
( ^ [Y3: $i > mworld > $o,Y4: mworld] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ Y4 )
& ( Y3 @ Y5 @ Y4 ) ) )
@ ^ [Y3: $i] :
( ^ [Y4: $i > mworld > $o,Y5: mworld] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ Y5 )
& ( Y4 @ Y6 @ Y5 ) ) )
@ ^ [Y4: $i] :
( ^ [Y5: $i > mworld > $o,Y6: mworld] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ Y6 )
& ( Y5 @ Y7 @ Y6 ) ) )
@ ^ [Y5: $i] :
( ^ [Y6: $i > mworld > $o,Y7: mworld] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ Y7 )
& ( Y6 @ Y8 @ Y7 ) ) )
@ ^ [Y6: $i] :
( ^ [Y7: $i > mworld > $o,Y8: mworld] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ Y8 )
& ( Y7 @ Y9 @ Y8 ) ) )
@ ^ [Y7: $i] :
( ^ [Y8: $i > mworld > $o,Y9: mworld] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( eiw_di @ Y10 @ Y9 )
& ( Y8 @ Y10 @ Y9 ) ) )
@ ^ [Y8: $i] :
( ^ [Y9: $i > mworld > $o,Y10: mworld] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( eiw_di @ Y11 @ Y10 )
& ( Y9 @ Y11 @ Y10 ) ) )
@ ^ [Y9: $i] :
( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( seat @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( furniture @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( front @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( seat @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( furniture @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( front @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( hollywood @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( city @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( event @ Y3 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( street @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( way @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( lonely @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( chevy @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( car @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( white @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( dirty @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( old @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( barrel @ Y3 @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( down @ Y3 @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( in @ Y3 @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld] :
~ ( Y10 @ Y11 )
@ ( qmltpeq @ Y6 @ Y7 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( fellow @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( man @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( young @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( fellow @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( man @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( young @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( qmltpeq @ Y6 @ Y8 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( in @ Y8 @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y11 @ Y12 )
& ( Y10 @ Y12 ) )
@ ( qmltpeq @ Y7 @ Y9 )
@ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[status(thm)],[f146,f154,f143,f122,f131,f131,f131,f131,f131,f131,f131,f131,f131,f131,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f131,f131,f131,f131,f131,f131,f131,f131,f131,f131,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f122,f131,f131,f131,f131,f131,f131,f131,f131,f131,f131,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f131,f131,f131,f131,f131,f131,f131,f131,f131,f131,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143]) ).
thf(f149,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
thf(f76,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[status(thm)],[f75]) ).
thf(f75,plain,
( ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
( ( ^ [X1: mworld > $o,X2: mworld] :
~ ( X1 @ X2 ) )
= mnot ),
file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mnot_def) ).
thf(f131,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
thf(f53,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f52]) ).
thf(f52,plain,
( mexists_di
= ( ^ [X0: $i > mworld > $o,X1: mworld] :
? [X2: $i] :
( ( X0 @ X2 @ X1 )
& ( eiw_di @ X2 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f12]) ).
thf(f12,axiom,
( mexists_di
= ( ^ [X1: $i > mworld > $o,X2: mworld] :
? [X5: $i] :
( ( X1 @ X5 @ X2 )
& ( eiw_di @ X5 @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mexists_di_def) ).
thf(f122,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
thf(f94,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f93]) ).
thf(f93,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
=> ( X3 @ X2 ) ) )
= mimplies ),
file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mimplies_def) ).
thf(f143,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f90]) ).
thf(f90,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f89]) ).
thf(f89,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
& ( X1 @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
( mand
= ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mand_def) ).
thf(f154,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
thf(f66,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mlocal_def) ).
thf(f146,plain,
( $true
= ( ~ ( mlocal
@ ( mand
@ ( mimplies
@ ( mexists_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] :
( mexists_di
@ ^ [Y2: $i] :
( mexists_di
@ ^ [Y3: $i] :
( mexists_di
@ ^ [Y4: $i] :
( mexists_di
@ ^ [Y5: $i] :
( mexists_di
@ ^ [Y6: $i] :
( mexists_di
@ ^ [Y7: $i] :
( mexists_di
@ ^ [Y8: $i] :
( mexists_di
@ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( street @ Y4 ) @ ( mand @ ( way @ Y4 ) @ ( mand @ ( lonely @ Y4 ) @ ( mand @ ( chevy @ Y5 ) @ ( mand @ ( car @ Y5 ) @ ( mand @ ( white @ Y5 ) @ ( mand @ ( dirty @ Y5 ) @ ( mand @ ( old @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y5 ) @ ( mand @ ( down @ Y3 @ Y4 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] :
( mexists_di
@ ^ [Y2: $i] :
( mexists_di
@ ^ [Y3: $i] :
( mexists_di
@ ^ [Y4: $i] :
( mexists_di
@ ^ [Y5: $i] :
( mexists_di
@ ^ [Y6: $i] :
( mexists_di
@ ^ [Y7: $i] :
( mexists_di
@ ^ [Y8: $i] :
( mexists_di
@ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( chevy @ Y4 ) @ ( mand @ ( car @ Y4 ) @ ( mand @ ( white @ Y4 ) @ ( mand @ ( dirty @ Y4 ) @ ( mand @ ( old @ Y4 ) @ ( mand @ ( street @ Y5 ) @ ( mand @ ( way @ Y5 ) @ ( mand @ ( lonely @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y4 ) @ ( mand @ ( down @ Y3 @ Y5 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] :
( mexists_di
@ ^ [Y2: $i] :
( mexists_di
@ ^ [Y3: $i] :
( mexists_di
@ ^ [Y4: $i] :
( mexists_di
@ ^ [Y5: $i] :
( mexists_di
@ ^ [Y6: $i] :
( mexists_di
@ ^ [Y7: $i] :
( mexists_di
@ ^ [Y8: $i] :
( mexists_di
@ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( chevy @ Y4 ) @ ( mand @ ( car @ Y4 ) @ ( mand @ ( white @ Y4 ) @ ( mand @ ( dirty @ Y4 ) @ ( mand @ ( old @ Y4 ) @ ( mand @ ( street @ Y5 ) @ ( mand @ ( way @ Y5 ) @ ( mand @ ( lonely @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y4 ) @ ( mand @ ( down @ Y3 @ Y5 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] :
( mexists_di
@ ^ [Y2: $i] :
( mexists_di
@ ^ [Y3: $i] :
( mexists_di
@ ^ [Y4: $i] :
( mexists_di
@ ^ [Y5: $i] :
( mexists_di
@ ^ [Y6: $i] :
( mexists_di
@ ^ [Y7: $i] :
( mexists_di
@ ^ [Y8: $i] :
( mexists_di
@ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( street @ Y4 ) @ ( mand @ ( way @ Y4 ) @ ( mand @ ( lonely @ Y4 ) @ ( mand @ ( chevy @ Y5 ) @ ( mand @ ( car @ Y5 ) @ ( mand @ ( white @ Y5 ) @ ( mand @ ( dirty @ Y5 ) @ ( mand @ ( old @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y5 ) @ ( mand @ ( down @ Y3 @ Y4 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
thf(f72,plain,
( $true
= ( ~ ( mlocal
@ ( mand
@ ( mimplies
@ ( mexists_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] :
( mexists_di
@ ^ [Y2: $i] :
( mexists_di
@ ^ [Y3: $i] :
( mexists_di
@ ^ [Y4: $i] :
( mexists_di
@ ^ [Y5: $i] :
( mexists_di
@ ^ [Y6: $i] :
( mexists_di
@ ^ [Y7: $i] :
( mexists_di
@ ^ [Y8: $i] :
( mexists_di
@ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( street @ Y4 ) @ ( mand @ ( way @ Y4 ) @ ( mand @ ( lonely @ Y4 ) @ ( mand @ ( chevy @ Y5 ) @ ( mand @ ( car @ Y5 ) @ ( mand @ ( white @ Y5 ) @ ( mand @ ( dirty @ Y5 ) @ ( mand @ ( old @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y5 ) @ ( mand @ ( down @ Y3 @ Y4 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] :
( mexists_di
@ ^ [Y2: $i] :
( mexists_di
@ ^ [Y3: $i] :
( mexists_di
@ ^ [Y4: $i] :
( mexists_di
@ ^ [Y5: $i] :
( mexists_di
@ ^ [Y6: $i] :
( mexists_di
@ ^ [Y7: $i] :
( mexists_di
@ ^ [Y8: $i] :
( mexists_di
@ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( chevy @ Y4 ) @ ( mand @ ( car @ Y4 ) @ ( mand @ ( white @ Y4 ) @ ( mand @ ( dirty @ Y4 ) @ ( mand @ ( old @ Y4 ) @ ( mand @ ( street @ Y5 ) @ ( mand @ ( way @ Y5 ) @ ( mand @ ( lonely @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y4 ) @ ( mand @ ( down @ Y3 @ Y5 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] :
( mexists_di
@ ^ [Y2: $i] :
( mexists_di
@ ^ [Y3: $i] :
( mexists_di
@ ^ [Y4: $i] :
( mexists_di
@ ^ [Y5: $i] :
( mexists_di
@ ^ [Y6: $i] :
( mexists_di
@ ^ [Y7: $i] :
( mexists_di
@ ^ [Y8: $i] :
( mexists_di
@ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( chevy @ Y4 ) @ ( mand @ ( car @ Y4 ) @ ( mand @ ( white @ Y4 ) @ ( mand @ ( dirty @ Y4 ) @ ( mand @ ( old @ Y4 ) @ ( mand @ ( street @ Y5 ) @ ( mand @ ( way @ Y5 ) @ ( mand @ ( lonely @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y4 ) @ ( mand @ ( down @ Y3 @ Y5 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [Y0: $i] :
( mexists_di
@ ^ [Y1: $i] :
( mexists_di
@ ^ [Y2: $i] :
( mexists_di
@ ^ [Y3: $i] :
( mexists_di
@ ^ [Y4: $i] :
( mexists_di
@ ^ [Y5: $i] :
( mexists_di
@ ^ [Y6: $i] :
( mexists_di
@ ^ [Y7: $i] :
( mexists_di
@ ^ [Y8: $i] :
( mexists_di
@ ^ [Y9: $i] : ( mand @ ( seat @ Y0 ) @ ( mand @ ( furniture @ Y0 ) @ ( mand @ ( front @ Y0 ) @ ( mand @ ( seat @ Y1 ) @ ( mand @ ( furniture @ Y1 ) @ ( mand @ ( front @ Y1 ) @ ( mand @ ( hollywood @ Y2 ) @ ( mand @ ( city @ Y2 ) @ ( mand @ ( event @ Y3 ) @ ( mand @ ( street @ Y4 ) @ ( mand @ ( way @ Y4 ) @ ( mand @ ( lonely @ Y4 ) @ ( mand @ ( chevy @ Y5 ) @ ( mand @ ( car @ Y5 ) @ ( mand @ ( white @ Y5 ) @ ( mand @ ( dirty @ Y5 ) @ ( mand @ ( old @ Y5 ) @ ( mand @ ( barrel @ Y3 @ Y5 ) @ ( mand @ ( down @ Y3 @ Y4 ) @ ( mand @ ( in @ Y3 @ Y2 ) @ ( mand @ ( mnot @ ( qmltpeq @ Y6 @ Y7 ) ) @ ( mand @ ( fellow @ Y6 ) @ ( mand @ ( man @ Y6 ) @ ( mand @ ( young @ Y6 ) @ ( mand @ ( fellow @ Y7 ) @ ( mand @ ( man @ Y7 ) @ ( mand @ ( young @ Y7 ) @ ( mand @ ( qmltpeq @ Y6 @ Y8 ) @ ( mand @ ( in @ Y8 @ Y0 ) @ ( mand @ ( qmltpeq @ Y7 @ Y9 ) @ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f71]) ).
thf(f71,plain,
~ ( mlocal
@ ( mand
@ ( mimplies
@ ( mexists_di
@ ^ [X0: $i] :
( mexists_di
@ ^ [X1: $i] :
( mexists_di
@ ^ [X2: $i] :
( mexists_di
@ ^ [X3: $i] :
( mexists_di
@ ^ [X4: $i] :
( mexists_di
@ ^ [X5: $i] :
( mexists_di
@ ^ [X6: $i] :
( mexists_di
@ ^ [X7: $i] :
( mexists_di
@ ^ [X8: $i] :
( mexists_di
@ ^ [X9: $i] : ( mand @ ( seat @ X0 ) @ ( mand @ ( furniture @ X0 ) @ ( mand @ ( front @ X0 ) @ ( mand @ ( seat @ X1 ) @ ( mand @ ( furniture @ X1 ) @ ( mand @ ( front @ X1 ) @ ( mand @ ( hollywood @ X2 ) @ ( mand @ ( city @ X2 ) @ ( mand @ ( event @ X3 ) @ ( mand @ ( street @ X4 ) @ ( mand @ ( way @ X4 ) @ ( mand @ ( lonely @ X4 ) @ ( mand @ ( chevy @ X5 ) @ ( mand @ ( car @ X5 ) @ ( mand @ ( white @ X5 ) @ ( mand @ ( dirty @ X5 ) @ ( mand @ ( old @ X5 ) @ ( mand @ ( barrel @ X3 @ X5 ) @ ( mand @ ( down @ X3 @ X4 ) @ ( mand @ ( in @ X3 @ X2 ) @ ( mand @ ( mnot @ ( qmltpeq @ X6 @ X7 ) ) @ ( mand @ ( fellow @ X6 ) @ ( mand @ ( man @ X6 ) @ ( mand @ ( young @ X6 ) @ ( mand @ ( fellow @ X7 ) @ ( mand @ ( man @ X7 ) @ ( mand @ ( young @ X7 ) @ ( mand @ ( qmltpeq @ X6 @ X8 ) @ ( mand @ ( in @ X8 @ X0 ) @ ( mand @ ( qmltpeq @ X7 @ X9 ) @ ( in @ X9 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X10: $i] :
( mexists_di
@ ^ [X11: $i] :
( mexists_di
@ ^ [X12: $i] :
( mexists_di
@ ^ [X13: $i] :
( mexists_di
@ ^ [X14: $i] :
( mexists_di
@ ^ [X15: $i] :
( mexists_di
@ ^ [X16: $i] :
( mexists_di
@ ^ [X17: $i] :
( mexists_di
@ ^ [X18: $i] :
( mexists_di
@ ^ [X19: $i] : ( mand @ ( seat @ X10 ) @ ( mand @ ( furniture @ X10 ) @ ( mand @ ( front @ X10 ) @ ( mand @ ( seat @ X11 ) @ ( mand @ ( furniture @ X11 ) @ ( mand @ ( front @ X11 ) @ ( mand @ ( hollywood @ X12 ) @ ( mand @ ( city @ X12 ) @ ( mand @ ( event @ X13 ) @ ( mand @ ( chevy @ X14 ) @ ( mand @ ( car @ X14 ) @ ( mand @ ( white @ X14 ) @ ( mand @ ( dirty @ X14 ) @ ( mand @ ( old @ X14 ) @ ( mand @ ( street @ X15 ) @ ( mand @ ( way @ X15 ) @ ( mand @ ( lonely @ X15 ) @ ( mand @ ( barrel @ X13 @ X14 ) @ ( mand @ ( down @ X13 @ X15 ) @ ( mand @ ( in @ X13 @ X12 ) @ ( mand @ ( mnot @ ( qmltpeq @ X16 @ X17 ) ) @ ( mand @ ( fellow @ X16 ) @ ( mand @ ( man @ X16 ) @ ( mand @ ( young @ X16 ) @ ( mand @ ( fellow @ X17 ) @ ( mand @ ( man @ X17 ) @ ( mand @ ( young @ X17 ) @ ( mand @ ( qmltpeq @ X16 @ X18 ) @ ( mand @ ( in @ X18 @ X10 ) @ ( mand @ ( qmltpeq @ X17 @ X19 ) @ ( in @ X19 @ X11 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [X20: $i] :
( mexists_di
@ ^ [X21: $i] :
( mexists_di
@ ^ [X22: $i] :
( mexists_di
@ ^ [X23: $i] :
( mexists_di
@ ^ [X24: $i] :
( mexists_di
@ ^ [X25: $i] :
( mexists_di
@ ^ [X26: $i] :
( mexists_di
@ ^ [X27: $i] :
( mexists_di
@ ^ [X28: $i] :
( mexists_di
@ ^ [X29: $i] : ( mand @ ( seat @ X20 ) @ ( mand @ ( furniture @ X20 ) @ ( mand @ ( front @ X20 ) @ ( mand @ ( seat @ X21 ) @ ( mand @ ( furniture @ X21 ) @ ( mand @ ( front @ X21 ) @ ( mand @ ( hollywood @ X22 ) @ ( mand @ ( city @ X22 ) @ ( mand @ ( event @ X23 ) @ ( mand @ ( chevy @ X24 ) @ ( mand @ ( car @ X24 ) @ ( mand @ ( white @ X24 ) @ ( mand @ ( dirty @ X24 ) @ ( mand @ ( old @ X24 ) @ ( mand @ ( street @ X25 ) @ ( mand @ ( way @ X25 ) @ ( mand @ ( lonely @ X25 ) @ ( mand @ ( barrel @ X23 @ X24 ) @ ( mand @ ( down @ X23 @ X25 ) @ ( mand @ ( in @ X23 @ X22 ) @ ( mand @ ( mnot @ ( qmltpeq @ X26 @ X27 ) ) @ ( mand @ ( fellow @ X26 ) @ ( mand @ ( man @ X26 ) @ ( mand @ ( young @ X26 ) @ ( mand @ ( fellow @ X27 ) @ ( mand @ ( man @ X27 ) @ ( mand @ ( young @ X27 ) @ ( mand @ ( qmltpeq @ X26 @ X28 ) @ ( mand @ ( in @ X28 @ X20 ) @ ( mand @ ( qmltpeq @ X27 @ X29 ) @ ( in @ X29 @ X21 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X30: $i] :
( mexists_di
@ ^ [X31: $i] :
( mexists_di
@ ^ [X32: $i] :
( mexists_di
@ ^ [X33: $i] :
( mexists_di
@ ^ [X34: $i] :
( mexists_di
@ ^ [X35: $i] :
( mexists_di
@ ^ [X36: $i] :
( mexists_di
@ ^ [X37: $i] :
( mexists_di
@ ^ [X38: $i] :
( mexists_di
@ ^ [X39: $i] : ( mand @ ( seat @ X30 ) @ ( mand @ ( furniture @ X30 ) @ ( mand @ ( front @ X30 ) @ ( mand @ ( seat @ X31 ) @ ( mand @ ( furniture @ X31 ) @ ( mand @ ( front @ X31 ) @ ( mand @ ( hollywood @ X32 ) @ ( mand @ ( city @ X32 ) @ ( mand @ ( event @ X33 ) @ ( mand @ ( street @ X34 ) @ ( mand @ ( way @ X34 ) @ ( mand @ ( lonely @ X34 ) @ ( mand @ ( chevy @ X35 ) @ ( mand @ ( car @ X35 ) @ ( mand @ ( white @ X35 ) @ ( mand @ ( dirty @ X35 ) @ ( mand @ ( old @ X35 ) @ ( mand @ ( barrel @ X33 @ X35 ) @ ( mand @ ( down @ X33 @ X34 ) @ ( mand @ ( in @ X33 @ X32 ) @ ( mand @ ( mnot @ ( qmltpeq @ X36 @ X37 ) ) @ ( mand @ ( fellow @ X36 ) @ ( mand @ ( man @ X36 ) @ ( mand @ ( young @ X36 ) @ ( mand @ ( fellow @ X37 ) @ ( mand @ ( man @ X37 ) @ ( mand @ ( young @ X37 ) @ ( mand @ ( qmltpeq @ X36 @ X38 ) @ ( mand @ ( in @ X38 @ X30 ) @ ( mand @ ( qmltpeq @ X37 @ X39 ) @ ( in @ X39 @ X31 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f40]) ).
thf(f40,negated_conjecture,
~ ( mlocal
@ ( mand
@ ( mimplies
@ ( mexists_di
@ ^ [X9: $i] :
( mexists_di
@ ^ [X4: $i] :
( mexists_di
@ ^ [X2: $i] :
( mexists_di
@ ^ [X5: $i] :
( mexists_di
@ ^ [X6: $i] :
( mexists_di
@ ^ [X7: $i] :
( mexists_di
@ ^ [X10: $i] :
( mexists_di
@ ^ [X11: $i] :
( mexists_di
@ ^ [X12: $i] :
( mexists_di
@ ^ [X13: $i] : ( mand @ ( seat @ X9 ) @ ( mand @ ( furniture @ X9 ) @ ( mand @ ( front @ X9 ) @ ( mand @ ( seat @ X4 ) @ ( mand @ ( furniture @ X4 ) @ ( mand @ ( front @ X4 ) @ ( mand @ ( hollywood @ X2 ) @ ( mand @ ( city @ X2 ) @ ( mand @ ( event @ X5 ) @ ( mand @ ( street @ X6 ) @ ( mand @ ( way @ X6 ) @ ( mand @ ( lonely @ X6 ) @ ( mand @ ( chevy @ X7 ) @ ( mand @ ( car @ X7 ) @ ( mand @ ( white @ X7 ) @ ( mand @ ( dirty @ X7 ) @ ( mand @ ( old @ X7 ) @ ( mand @ ( barrel @ X5 @ X7 ) @ ( mand @ ( down @ X5 @ X6 ) @ ( mand @ ( in @ X5 @ X2 ) @ ( mand @ ( mnot @ ( qmltpeq @ X10 @ X11 ) ) @ ( mand @ ( fellow @ X10 ) @ ( mand @ ( man @ X10 ) @ ( mand @ ( young @ X10 ) @ ( mand @ ( fellow @ X11 ) @ ( mand @ ( man @ X11 ) @ ( mand @ ( young @ X11 ) @ ( mand @ ( qmltpeq @ X10 @ X12 ) @ ( mand @ ( in @ X12 @ X9 ) @ ( mand @ ( qmltpeq @ X11 @ X13 ) @ ( in @ X13 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X14: $i] :
( mexists_di
@ ^ [X15: $i] :
( mexists_di
@ ^ [X16: $i] :
( mexists_di
@ ^ [X17: $i] :
( mexists_di
@ ^ [X18: $i] :
( mexists_di
@ ^ [X19: $i] :
( mexists_di
@ ^ [X20: $i] :
( mexists_di
@ ^ [X21: $i] :
( mexists_di
@ ^ [X22: $i] :
( mexists_di
@ ^ [X23: $i] : ( mand @ ( seat @ X14 ) @ ( mand @ ( furniture @ X14 ) @ ( mand @ ( front @ X14 ) @ ( mand @ ( seat @ X15 ) @ ( mand @ ( furniture @ X15 ) @ ( mand @ ( front @ X15 ) @ ( mand @ ( hollywood @ X16 ) @ ( mand @ ( city @ X16 ) @ ( mand @ ( event @ X17 ) @ ( mand @ ( chevy @ X18 ) @ ( mand @ ( car @ X18 ) @ ( mand @ ( white @ X18 ) @ ( mand @ ( dirty @ X18 ) @ ( mand @ ( old @ X18 ) @ ( mand @ ( street @ X19 ) @ ( mand @ ( way @ X19 ) @ ( mand @ ( lonely @ X19 ) @ ( mand @ ( barrel @ X17 @ X18 ) @ ( mand @ ( down @ X17 @ X19 ) @ ( mand @ ( in @ X17 @ X16 ) @ ( mand @ ( mnot @ ( qmltpeq @ X20 @ X21 ) ) @ ( mand @ ( fellow @ X20 ) @ ( mand @ ( man @ X20 ) @ ( mand @ ( young @ X20 ) @ ( mand @ ( fellow @ X21 ) @ ( mand @ ( man @ X21 ) @ ( mand @ ( young @ X21 ) @ ( mand @ ( qmltpeq @ X20 @ X22 ) @ ( mand @ ( in @ X22 @ X14 ) @ ( mand @ ( qmltpeq @ X21 @ X23 ) @ ( in @ X23 @ X15 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [X24: $i] :
( mexists_di
@ ^ [X25: $i] :
( mexists_di
@ ^ [X26: $i] :
( mexists_di
@ ^ [X27: $i] :
( mexists_di
@ ^ [X28: $i] :
( mexists_di
@ ^ [X29: $i] :
( mexists_di
@ ^ [X30: $i] :
( mexists_di
@ ^ [X31: $i] :
( mexists_di
@ ^ [X32: $i] :
( mexists_di
@ ^ [X33: $i] : ( mand @ ( seat @ X24 ) @ ( mand @ ( furniture @ X24 ) @ ( mand @ ( front @ X24 ) @ ( mand @ ( seat @ X25 ) @ ( mand @ ( furniture @ X25 ) @ ( mand @ ( front @ X25 ) @ ( mand @ ( hollywood @ X26 ) @ ( mand @ ( city @ X26 ) @ ( mand @ ( event @ X27 ) @ ( mand @ ( chevy @ X28 ) @ ( mand @ ( car @ X28 ) @ ( mand @ ( white @ X28 ) @ ( mand @ ( dirty @ X28 ) @ ( mand @ ( old @ X28 ) @ ( mand @ ( street @ X29 ) @ ( mand @ ( way @ X29 ) @ ( mand @ ( lonely @ X29 ) @ ( mand @ ( barrel @ X27 @ X28 ) @ ( mand @ ( down @ X27 @ X29 ) @ ( mand @ ( in @ X27 @ X26 ) @ ( mand @ ( mnot @ ( qmltpeq @ X30 @ X31 ) ) @ ( mand @ ( fellow @ X30 ) @ ( mand @ ( man @ X30 ) @ ( mand @ ( young @ X30 ) @ ( mand @ ( fellow @ X31 ) @ ( mand @ ( man @ X31 ) @ ( mand @ ( young @ X31 ) @ ( mand @ ( qmltpeq @ X30 @ X32 ) @ ( mand @ ( in @ X32 @ X24 ) @ ( mand @ ( qmltpeq @ X31 @ X33 ) @ ( in @ X33 @ X25 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X34: $i] :
( mexists_di
@ ^ [X35: $i] :
( mexists_di
@ ^ [X36: $i] :
( mexists_di
@ ^ [X37: $i] :
( mexists_di
@ ^ [X38: $i] :
( mexists_di
@ ^ [X39: $i] :
( mexists_di
@ ^ [X40: $i] :
( mexists_di
@ ^ [X41: $i] :
( mexists_di
@ ^ [X42: $i] :
( mexists_di
@ ^ [X43: $i] : ( mand @ ( seat @ X34 ) @ ( mand @ ( furniture @ X34 ) @ ( mand @ ( front @ X34 ) @ ( mand @ ( seat @ X35 ) @ ( mand @ ( furniture @ X35 ) @ ( mand @ ( front @ X35 ) @ ( mand @ ( hollywood @ X36 ) @ ( mand @ ( city @ X36 ) @ ( mand @ ( event @ X37 ) @ ( mand @ ( street @ X38 ) @ ( mand @ ( way @ X38 ) @ ( mand @ ( lonely @ X38 ) @ ( mand @ ( chevy @ X39 ) @ ( mand @ ( car @ X39 ) @ ( mand @ ( white @ X39 ) @ ( mand @ ( dirty @ X39 ) @ ( mand @ ( old @ X39 ) @ ( mand @ ( barrel @ X37 @ X39 ) @ ( mand @ ( down @ X37 @ X38 ) @ ( mand @ ( in @ X37 @ X36 ) @ ( mand @ ( mnot @ ( qmltpeq @ X40 @ X41 ) ) @ ( mand @ ( fellow @ X40 ) @ ( mand @ ( man @ X40 ) @ ( mand @ ( young @ X40 ) @ ( mand @ ( fellow @ X41 ) @ ( mand @ ( man @ X41 ) @ ( mand @ ( young @ X41 ) @ ( mand @ ( qmltpeq @ X40 @ X42 ) @ ( mand @ ( in @ X42 @ X34 ) @ ( mand @ ( qmltpeq @ X41 @ X43 ) @ ( in @ X43 @ X35 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
thf(f39,conjecture,
( mlocal
@ ( mand
@ ( mimplies
@ ( mexists_di
@ ^ [X9: $i] :
( mexists_di
@ ^ [X4: $i] :
( mexists_di
@ ^ [X2: $i] :
( mexists_di
@ ^ [X5: $i] :
( mexists_di
@ ^ [X6: $i] :
( mexists_di
@ ^ [X7: $i] :
( mexists_di
@ ^ [X10: $i] :
( mexists_di
@ ^ [X11: $i] :
( mexists_di
@ ^ [X12: $i] :
( mexists_di
@ ^ [X13: $i] : ( mand @ ( seat @ X9 ) @ ( mand @ ( furniture @ X9 ) @ ( mand @ ( front @ X9 ) @ ( mand @ ( seat @ X4 ) @ ( mand @ ( furniture @ X4 ) @ ( mand @ ( front @ X4 ) @ ( mand @ ( hollywood @ X2 ) @ ( mand @ ( city @ X2 ) @ ( mand @ ( event @ X5 ) @ ( mand @ ( street @ X6 ) @ ( mand @ ( way @ X6 ) @ ( mand @ ( lonely @ X6 ) @ ( mand @ ( chevy @ X7 ) @ ( mand @ ( car @ X7 ) @ ( mand @ ( white @ X7 ) @ ( mand @ ( dirty @ X7 ) @ ( mand @ ( old @ X7 ) @ ( mand @ ( barrel @ X5 @ X7 ) @ ( mand @ ( down @ X5 @ X6 ) @ ( mand @ ( in @ X5 @ X2 ) @ ( mand @ ( mnot @ ( qmltpeq @ X10 @ X11 ) ) @ ( mand @ ( fellow @ X10 ) @ ( mand @ ( man @ X10 ) @ ( mand @ ( young @ X10 ) @ ( mand @ ( fellow @ X11 ) @ ( mand @ ( man @ X11 ) @ ( mand @ ( young @ X11 ) @ ( mand @ ( qmltpeq @ X10 @ X12 ) @ ( mand @ ( in @ X12 @ X9 ) @ ( mand @ ( qmltpeq @ X11 @ X13 ) @ ( in @ X13 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X14: $i] :
( mexists_di
@ ^ [X15: $i] :
( mexists_di
@ ^ [X16: $i] :
( mexists_di
@ ^ [X17: $i] :
( mexists_di
@ ^ [X18: $i] :
( mexists_di
@ ^ [X19: $i] :
( mexists_di
@ ^ [X20: $i] :
( mexists_di
@ ^ [X21: $i] :
( mexists_di
@ ^ [X22: $i] :
( mexists_di
@ ^ [X23: $i] : ( mand @ ( seat @ X14 ) @ ( mand @ ( furniture @ X14 ) @ ( mand @ ( front @ X14 ) @ ( mand @ ( seat @ X15 ) @ ( mand @ ( furniture @ X15 ) @ ( mand @ ( front @ X15 ) @ ( mand @ ( hollywood @ X16 ) @ ( mand @ ( city @ X16 ) @ ( mand @ ( event @ X17 ) @ ( mand @ ( chevy @ X18 ) @ ( mand @ ( car @ X18 ) @ ( mand @ ( white @ X18 ) @ ( mand @ ( dirty @ X18 ) @ ( mand @ ( old @ X18 ) @ ( mand @ ( street @ X19 ) @ ( mand @ ( way @ X19 ) @ ( mand @ ( lonely @ X19 ) @ ( mand @ ( barrel @ X17 @ X18 ) @ ( mand @ ( down @ X17 @ X19 ) @ ( mand @ ( in @ X17 @ X16 ) @ ( mand @ ( mnot @ ( qmltpeq @ X20 @ X21 ) ) @ ( mand @ ( fellow @ X20 ) @ ( mand @ ( man @ X20 ) @ ( mand @ ( young @ X20 ) @ ( mand @ ( fellow @ X21 ) @ ( mand @ ( man @ X21 ) @ ( mand @ ( young @ X21 ) @ ( mand @ ( qmltpeq @ X20 @ X22 ) @ ( mand @ ( in @ X22 @ X14 ) @ ( mand @ ( qmltpeq @ X21 @ X23 ) @ ( in @ X23 @ X15 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [X24: $i] :
( mexists_di
@ ^ [X25: $i] :
( mexists_di
@ ^ [X26: $i] :
( mexists_di
@ ^ [X27: $i] :
( mexists_di
@ ^ [X28: $i] :
( mexists_di
@ ^ [X29: $i] :
( mexists_di
@ ^ [X30: $i] :
( mexists_di
@ ^ [X31: $i] :
( mexists_di
@ ^ [X32: $i] :
( mexists_di
@ ^ [X33: $i] : ( mand @ ( seat @ X24 ) @ ( mand @ ( furniture @ X24 ) @ ( mand @ ( front @ X24 ) @ ( mand @ ( seat @ X25 ) @ ( mand @ ( furniture @ X25 ) @ ( mand @ ( front @ X25 ) @ ( mand @ ( hollywood @ X26 ) @ ( mand @ ( city @ X26 ) @ ( mand @ ( event @ X27 ) @ ( mand @ ( chevy @ X28 ) @ ( mand @ ( car @ X28 ) @ ( mand @ ( white @ X28 ) @ ( mand @ ( dirty @ X28 ) @ ( mand @ ( old @ X28 ) @ ( mand @ ( street @ X29 ) @ ( mand @ ( way @ X29 ) @ ( mand @ ( lonely @ X29 ) @ ( mand @ ( barrel @ X27 @ X28 ) @ ( mand @ ( down @ X27 @ X29 ) @ ( mand @ ( in @ X27 @ X26 ) @ ( mand @ ( mnot @ ( qmltpeq @ X30 @ X31 ) ) @ ( mand @ ( fellow @ X30 ) @ ( mand @ ( man @ X30 ) @ ( mand @ ( young @ X30 ) @ ( mand @ ( fellow @ X31 ) @ ( mand @ ( man @ X31 ) @ ( mand @ ( young @ X31 ) @ ( mand @ ( qmltpeq @ X30 @ X32 ) @ ( mand @ ( in @ X32 @ X24 ) @ ( mand @ ( qmltpeq @ X31 @ X33 ) @ ( in @ X33 @ X25 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_di
@ ^ [X34: $i] :
( mexists_di
@ ^ [X35: $i] :
( mexists_di
@ ^ [X36: $i] :
( mexists_di
@ ^ [X37: $i] :
( mexists_di
@ ^ [X38: $i] :
( mexists_di
@ ^ [X39: $i] :
( mexists_di
@ ^ [X40: $i] :
( mexists_di
@ ^ [X41: $i] :
( mexists_di
@ ^ [X42: $i] :
( mexists_di
@ ^ [X43: $i] : ( mand @ ( seat @ X34 ) @ ( mand @ ( furniture @ X34 ) @ ( mand @ ( front @ X34 ) @ ( mand @ ( seat @ X35 ) @ ( mand @ ( furniture @ X35 ) @ ( mand @ ( front @ X35 ) @ ( mand @ ( hollywood @ X36 ) @ ( mand @ ( city @ X36 ) @ ( mand @ ( event @ X37 ) @ ( mand @ ( street @ X38 ) @ ( mand @ ( way @ X38 ) @ ( mand @ ( lonely @ X38 ) @ ( mand @ ( chevy @ X39 ) @ ( mand @ ( car @ X39 ) @ ( mand @ ( white @ X39 ) @ ( mand @ ( dirty @ X39 ) @ ( mand @ ( old @ X39 ) @ ( mand @ ( barrel @ X37 @ X39 ) @ ( mand @ ( down @ X37 @ X38 ) @ ( mand @ ( in @ X37 @ X36 ) @ ( mand @ ( mnot @ ( qmltpeq @ X40 @ X41 ) ) @ ( mand @ ( fellow @ X40 ) @ ( mand @ ( man @ X40 ) @ ( mand @ ( young @ X40 ) @ ( mand @ ( fellow @ X41 ) @ ( mand @ ( man @ X41 ) @ ( mand @ ( young @ X41 ) @ ( mand @ ( qmltpeq @ X40 @ X42 ) @ ( mand @ ( in @ X42 @ X34 ) @ ( mand @ ( qmltpeq @ X41 @ X43 ) @ ( in @ X43 @ X35 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',co1) ).
thf(f231,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[status(thm)],[f217,f228,f223]) ).
thf(f217,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f215]) ).
thf(f215,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( street @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( ?? @ $i
@ ^ [Y3: $i] :
( ( eiw_di @ Y3 @ mactual )
& ( ?? @ $i
@ ^ [Y4: $i] :
( ( eiw_di @ Y4 @ mactual )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( ?? @ $i
@ ^ [Y8: $i] :
( ( eiw_di @ Y8 @ mactual )
& ( ?? @ $i
@ ^ [Y9: $i] :
( ( eiw_di @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( young @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( young @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( fellow @ Y6 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( street @ Y5 @ mactual )
& ( old @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( event @ Y3 @ mactual )
& ( city @ Y2 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( front @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( seat @ Y1 @ mactual )
& ( front @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( seat @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP004^8 : TPTP v9.2.1. Released v8.1.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n028.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 10:44:12 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.46 ---- Original DTF file ---
% 0.19/0.46 thf(spec,logic,$$dhol).
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 % File : NLP004^8 : TPTP v9.2.1. Released v8.1.0.
% 0.19/0.46 % Domain : Natural Language Processing
% 0.19/0.46 % Problem : "The old dirty white Chevy" problem 4
% 0.19/0.46 % Version : [BP13] axioms.
% 0.19/0.46 % English :
% 0.19/0.46
% 0.19/0.46 % Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.19/0.46 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.19/0.46 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.19/0.46 % Source : [TPTP]
% 0.19/0.46 % Names : NLP004+1 [QMLTP]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : 0.56 v9.1.0, 0.50 v9.0.0, 0.60 v8.2.0, 0.62 v8.1.0
% 0.19/0.46 % Syntax : Number of formulae : 74 ( 12 unt; 35 typ; 10 def)
% 0.19/0.46 % Number of atoms : 526 ( 10 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 292 ( 13 avg)
% 0.19/0.46 % Number of connectives : 782 ( 1 ~; 1 |; 3 &; 773 @)
% 0.19/0.46 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 59 ( 10 avg)
% 0.19/0.46 % Number of types : 3 ( 1 usr)
% 0.19/0.46 % Number of type conns : 105 ( 105 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 35 ( 34 usr; 1 con; 0-3 aty)
% 0.19/0.46 % Number of variables : 128 ( 121 ^; 4 !; 3 ?; 128 :)
% 0.19/0.46 % SPC : TH0_THM_EQU_NAR
% 0.19/0.46
% 0.19/0.46 % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.19/0.46 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.19/0.46 % 'modal' embedding, version 1.5.2. Logic specification used:
% 0.19/0.46 % $modal == [$constants == $rigid,$quantification == $varying,
% 0.19/0.46 % $modalities == $modal_system_T].
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 thf(mworld,type,
% 0.19/0.46 mworld: $tType ).
% 0.19/0.46
% 0.19/0.46 thf(mrel_type,type,
% 0.19/0.46 mrel: mworld > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mactual_type,type,
% 0.19/0.46 mactual: mworld ).
% 0.19/0.46
% 0.19/0.46 thf(mlocal_type,type,
% 0.19/0.46 mlocal: ( mworld > $o ) > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mlocal_def,definition,
% 0.19/0.46 ( mlocal
% 0.19/0.46 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mnot_type,type,
% 0.19/0.46 mnot: ( mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mand_type,type,
% 0.19/0.46 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mor_type,type,
% 0.19/0.46 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mimplies_type,type,
% 0.19/0.46 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mequiv_type,type,
% 0.19/0.46 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mnot_def,definition,
% 0.19/0.46 ( mnot
% 0.19/0.46 = ( ^ [A: mworld > $o,W: mworld] :
% 0.19/0.46 ~ ( A @ W ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mand_def,definition,
% 0.19/0.46 ( mand
% 0.19/0.46 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.19/0.46 ( ( A @ W )
% 0.19/0.46 & ( B @ W ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mor_def,definition,
% 0.19/0.46 ( mor
% 0.19/0.46 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.19/0.46 ( ( A @ W )
% 0.19/0.46 | ( B @ W ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mimplies_def,definition,
% 0.19/0.46 ( mimplies
% 0.19/0.46 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.19/0.46 ( ( A @ W )
% 0.19/0.46 => ( B @ W ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mequiv_def,definition,
% 0.19/0.46 ( mequiv
% 0.19/0.46 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.19/0.46 ( ( A @ W )
% 0.19/0.46 <=> ( B @ W ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mbox_type,type,
% 0.19/0.46 mbox: ( mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mbox_def,definition,
% 0.19/0.46 ( mbox
% 0.19/0.46 = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.19/0.46 ! [V: mworld] :
% 0.19/0.46 ( ( mrel @ W @ V )
% 0.19/0.46 => ( Phi @ V ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mdia_type,type,
% 0.19/0.46 mdia: ( mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mdia_def,definition,
% 0.19/0.46 ( mdia
% 0.19/0.46 = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.19/0.46 ? [V: mworld] :
% 0.19/0.46 ( ( mrel @ W @ V )
% 0.19/0.46 & ( Phi @ V ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mrel_reflexive,axiom,
% 0.19/0.46 ! [W: mworld] : ( mrel @ W @ W ) ).
% 0.19/0.46
% 0.19/0.46 thf(eiw_di_type,type,
% 0.19/0.46 eiw_di: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(eiw_di_nonempty,axiom,
% 0.19/0.46 ! [W: mworld] :
% 0.19/0.46 ? [X: $i] : ( eiw_di @ X @ W ) ).
% 0.19/0.46
% 0.19/0.46 thf(mforall_di_type,type,
% 0.19/0.46 mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mforall_di_def,definition,
% 0.19/0.46 ( mforall_di
% 0.19/0.46 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.19/0.46 ! [X: $i] :
% 0.19/0.46 ( ( eiw_di @ X @ W )
% 0.19/0.46 => ( A @ X @ W ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(mexists_di_type,type,
% 0.19/0.46 mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(mexists_di_def,definition,
% 0.19/0.46 ( mexists_di
% 0.19/0.46 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.19/0.46 ? [X: $i] :
% 0.19/0.46 ( ( eiw_di @ X @ W )
% 0.19/0.46 & ( A @ X @ W ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(chevy_decl,type,
% 0.19/0.46 chevy: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(dirty_decl,type,
% 0.19/0.46 dirty: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(barrel_decl,type,
% 0.19/0.46 barrel: $i > $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(hollywood_decl,type,
% 0.19/0.46 hollywood: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(city_decl,type,
% 0.19/0.46 city: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(in_decl,type,
% 0.19/0.46 in: $i > $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(young_decl,type,
% 0.19/0.46 young: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(old_decl,type,
% 0.19/0.46 old: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(down_decl,type,
% 0.19/0.46 down: $i > $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(way_decl,type,
% 0.19/0.46 way: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(qmltpeq_decl,type,
% 0.19/0.46 qmltpeq: $i > $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(seat_decl,type,
% 0.19/0.46 seat: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(white_decl,type,
% 0.19/0.46 white: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(car_decl,type,
% 0.19/0.46 car: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(furniture_decl,type,
% 0.19/0.46 furniture: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(street_decl,type,
% 0.19/0.46 street: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(fellow_decl,type,
% 0.19/0.46 fellow: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(front_decl,type,
% 0.19/0.46 front: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(man_decl,type,
% 0.19/0.46 man: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(event_decl,type,
% 0.19/0.46 event: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(lonely_decl,type,
% 0.19/0.46 lonely: $i > mworld > $o ).
% 0.19/0.46
% 0.19/0.46 thf(reflexivity,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(symmetry,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [X: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(transitivity,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [X: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [Y: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(barrel_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(barrel_substitution_2,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(car_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(chevy_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(city_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(dirty_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(down_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(down_substitution_2,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(event_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(fellow_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( fellow @ A ) ) @ ( fellow @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(front_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( front @ A ) ) @ ( front @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(furniture_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( furniture @ A ) ) @ ( furniture @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(hollywood_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(in_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(in_substitution_2,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(lonely_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(man_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(old_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(seat_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( seat @ A ) ) @ ( seat @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(street_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(way_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(white_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(young_substitution_1,axiom,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mforall_di
% 0.19/0.46 @ ^ [A: $i] :
% 0.19/0.46 ( mforall_di
% 0.19/0.46 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( young @ A ) ) @ ( young @ B ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 thf(co1,conjecture,
% 0.19/0.46 ( mlocal
% 0.19/0.46 @ ( mand
% 0.19/0.46 @ ( mimplies
% 0.19/0.46 @ ( mexists_di
% 0.19/0.46 @ ^ [U: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [V: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [W: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [Y: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [Z: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X1: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X2: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X4: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X5: $i] : ( mand @ ( seat @ U ) @ ( mand @ ( furniture @ U ) @ ( mand @ ( front @ U ) @ ( mand @ ( seat @ V ) @ ( mand @ ( furniture @ V ) @ ( mand @ ( front @ V ) @ ( mand @ ( hollywood @ W ) @ ( mand @ ( city @ W ) @ ( mand @ ( event @ X ) @ ( mand @ ( street @ Y ) @ ( mand @ ( way @ Y ) @ ( mand @ ( lonely @ Y ) @ ( mand @ ( chevy @ Z ) @ ( mand @ ( car @ Z ) @ ( mand @ ( white @ Z ) @ ( mand @ ( dirty @ Z ) @ ( mand @ ( old @ Z ) @ ( mand @ ( barrel @ X @ Z ) @ ( mand @ ( down @ X @ Y ) @ ( mand @ ( in @ X @ W ) @ ( mand @ ( mnot @ ( qmltpeq @ X1 @ X2 ) ) @ ( mand @ ( fellow @ X1 ) @ ( mand @ ( man @ X1 ) @ ( mand @ ( young @ X1 ) @ ( mand @ ( fellow @ X2 ) @ ( mand @ ( man @ X2 ) @ ( mand @ ( young @ X2 ) @ ( mand @ ( qmltpeq @ X1 @ X4 ) @ ( mand @ ( in @ X4 @ U ) @ ( mand @ ( qmltpeq @ X2 @ X5 ) @ ( in @ X5 @ V ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.19/0.46 @ ( mexists_di
% 0.19/0.46 @ ^ [X6: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X7: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X8: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X9: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X10: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X11: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X12: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X13: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X15: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X16: $i] : ( mand @ ( seat @ X6 ) @ ( mand @ ( furniture @ X6 ) @ ( mand @ ( front @ X6 ) @ ( mand @ ( seat @ X7 ) @ ( mand @ ( furniture @ X7 ) @ ( mand @ ( front @ X7 ) @ ( mand @ ( hollywood @ X8 ) @ ( mand @ ( city @ X8 ) @ ( mand @ ( event @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( street @ X11 ) @ ( mand @ ( way @ X11 ) @ ( mand @ ( lonely @ X11 ) @ ( mand @ ( barrel @ X9 @ X10 ) @ ( mand @ ( down @ X9 @ X11 ) @ ( mand @ ( in @ X9 @ X8 ) @ ( mand @ ( mnot @ ( qmltpeq @ X12 @ X13 ) ) @ ( mand @ ( fellow @ X12 ) @ ( mand @ ( man @ X12 ) @ ( mand @ ( young @ X12 ) @ ( mand @ ( fellow @ X13 ) @ ( mand @ ( man @ X13 ) @ ( mand @ ( young @ X13 ) @ ( mand @ ( qmltpeq @ X12 @ X15 ) @ ( mand @ ( in @ X15 @ X6 ) @ ( mand @ ( qmltpeq @ X13 @ X16 ) @ ( in @ X16 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.19/0.46 @ ( mimplies
% 0.19/0.46 @ ( mexists_di
% 0.19/0.46 @ ^ [X17: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X18: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X19: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X20: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X21: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X22: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X23: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X24: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X26: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X27: $i] : ( mand @ ( seat @ X17 ) @ ( mand @ ( furniture @ X17 ) @ ( mand @ ( front @ X17 ) @ ( mand @ ( seat @ X18 ) @ ( mand @ ( furniture @ X18 ) @ ( mand @ ( front @ X18 ) @ ( mand @ ( hollywood @ X19 ) @ ( mand @ ( city @ X19 ) @ ( mand @ ( event @ X20 ) @ ( mand @ ( chevy @ X21 ) @ ( mand @ ( car @ X21 ) @ ( mand @ ( white @ X21 ) @ ( mand @ ( dirty @ X21 ) @ ( mand @ ( old @ X21 ) @ ( mand @ ( street @ X22 ) @ ( mand @ ( way @ X22 ) @ ( mand @ ( lonely @ X22 ) @ ( mand @ ( barrel @ X20 @ X21 ) @ ( mand @ ( down @ X20 @ X22 ) @ ( mand @ ( in @ X20 @ X19 ) @ ( mand @ ( mnot @ ( qmltpeq @ X23 @ X24 ) ) @ ( mand @ ( fellow @ X23 ) @ ( mand @ ( man @ X23 ) @ ( mand @ ( young @ X23 ) @ ( mand @ ( fellow @ X24 ) @ ( mand @ ( man @ X24 ) @ ( mand @ ( young @ X24 ) @ ( mand @ ( qmltpeq @ X23 @ X26 ) @ ( mand @ ( in @ X26 @ X17 ) @ ( mand @ ( qmltpeq @ X24 @ X27 ) @ ( in @ X27 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.19/0.46 @ ( mexists_di
% 0.19/0.46 @ ^ [X28: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X29: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X30: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X31: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X32: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X33: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X34: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X35: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X37: $i] :
% 0.19/0.46 ( mexists_di
% 0.19/0.46 @ ^ [X38: $i] : ( mand @ ( seat @ X28 ) @ ( mand @ ( furniture @ X28 ) @ ( mand @ ( front @ X28 ) @ ( mand @ ( seat @ X29 ) @ ( mand @ ( furniture @ X29 ) @ ( mand @ ( front @ X29 ) @ ( mand @ ( hollywood @ X30 ) @ ( mand @ ( city @ X30 ) @ ( mand @ ( event @ X31 ) @ ( mand @ ( street @ X32 ) @ ( mand @ ( way @ X32 ) @ ( mand @ ( lonely @ X32 ) @ ( mand @ ( chevy @ X33 ) @ ( mand @ ( car @ X33 ) @ ( mand @ ( white @ X33 ) @ ( mand @ ( dirty @ X33 ) @ ( mand @ ( old @ X33 ) @ ( mand @ ( barrel @ X31 @ X33 ) @ ( mand @ ( down @ X31 @ X32 ) @ ( mand @ ( in @ X31 @ X30 ) @ ( mand @ ( mnot @ ( qmltpeq @ X34 @ X35 ) ) @ ( mand @ ( fellow @ X34 ) @ ( mand @ ( man @ X34 ) @ ( mand @ ( young @ X34 ) @ ( mand @ ( fellow @ X35 ) @ ( mand @ ( man @ X35 ) @ ( mand @ ( young @ X35 ) @ ( mand @ ( qmltpeq @ X34 @ X37 ) @ ( mand @ ( in @ X37 @ X28 ) @ ( mand @ ( qmltpeq @ X35 @ X38 ) @ ( in @ X38 @ X29 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 1.88/1.37 ---- Embedded in THF ---
% 1.88/1.38 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.88/1.38 %%% Generated on Tue Feb 24 10:44:12 EST 2026
% 1.88/1.38 %%% using '$$dhol' embedding, version 1.3.0.
% 1.88/1.38 %%% Logic specification used:
% 1.88/1.38 %%% thf(spec, logic, $$dhol).
% 1.88/1.38
% 1.88/1.38 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2DTF1584.p
% See solution above
% 1.88/1.38 ------------------------
% 1.88/1.40 ---- Cleaned THF ---
% 2.09/1.40 thf(mworld,type,
% 2.09/1.40 mworld: $tType ).
% 2.09/1.40
% 2.09/1.40 thf(mrel_type,type,
% 2.09/1.40 mrel: mworld > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mactual_type,type,
% 2.09/1.40 mactual: mworld ).
% 2.09/1.40
% 2.09/1.40 thf(mlocal_type,type,
% 2.09/1.40 mlocal: ( mworld > $o ) > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mlocal_def,definition,
% 2.09/1.40 ( mlocal
% 2.09/1.40 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mnot_type,type,
% 2.09/1.40 mnot: ( mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mand_type,type,
% 2.09/1.40 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mor_type,type,
% 2.09/1.40 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mimplies_type,type,
% 2.09/1.40 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mequiv_type,type,
% 2.09/1.40 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mnot_def,definition,
% 2.09/1.40 ( mnot
% 2.09/1.40 = ( ^ [A: mworld > $o,W: mworld] :
% 2.09/1.40 ~ ( A @ W ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mand_def,definition,
% 2.09/1.40 ( mand
% 2.09/1.40 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.09/1.40 ( ( A @ W )
% 2.09/1.40 & ( B @ W ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mor_def,definition,
% 2.09/1.40 ( mor
% 2.09/1.40 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.09/1.40 ( ( A @ W )
% 2.09/1.40 | ( B @ W ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mimplies_def,definition,
% 2.09/1.40 ( mimplies
% 2.09/1.40 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.09/1.40 ( ( A @ W )
% 2.09/1.40 => ( B @ W ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mequiv_def,definition,
% 2.09/1.40 ( mequiv
% 2.09/1.40 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.09/1.40 ( ( A @ W )
% 2.09/1.40 <=> ( B @ W ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mbox_type,type,
% 2.09/1.40 mbox: ( mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mbox_def,definition,
% 2.09/1.40 ( mbox
% 2.09/1.40 = ( ^ [Phi: mworld > $o,W: mworld] :
% 2.09/1.40 ! [V: mworld] :
% 2.09/1.40 ( ( mrel @ W @ V )
% 2.09/1.40 => ( Phi @ V ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mdia_type,type,
% 2.09/1.40 mdia: ( mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mdia_def,definition,
% 2.09/1.40 ( mdia
% 2.09/1.40 = ( ^ [Phi: mworld > $o,W: mworld] :
% 2.09/1.40 ? [V: mworld] :
% 2.09/1.40 ( ( mrel @ W @ V )
% 2.09/1.40 & ( Phi @ V ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mrel_reflexive,axiom,
% 2.09/1.40 ! [W: mworld] : ( mrel @ W @ W ) ).
% 2.09/1.40
% 2.09/1.40 thf(eiw_di_type,type,
% 2.09/1.40 eiw_di: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(eiw_di_nonempty,axiom,
% 2.09/1.40 ! [W: mworld] :
% 2.09/1.40 ? [X: $i] : ( eiw_di @ X @ W ) ).
% 2.09/1.40
% 2.09/1.40 thf(mforall_di_type,type,
% 2.09/1.40 mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mforall_di_def,definition,
% 2.09/1.40 ( mforall_di
% 2.09/1.40 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 2.09/1.40 ! [X: $i] :
% 2.09/1.40 ( ( eiw_di @ X @ W )
% 2.09/1.40 => ( A @ X @ W ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(mexists_di_type,type,
% 2.09/1.40 mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(mexists_di_def,definition,
% 2.09/1.40 ( mexists_di
% 2.09/1.40 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 2.09/1.40 ? [X: $i] :
% 2.09/1.40 ( ( eiw_di @ X @ W )
% 2.09/1.40 & ( A @ X @ W ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(chevy_decl,type,
% 2.09/1.40 chevy: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(dirty_decl,type,
% 2.09/1.40 dirty: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(barrel_decl,type,
% 2.09/1.40 barrel: $i > $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(hollywood_decl,type,
% 2.09/1.40 hollywood: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(city_decl,type,
% 2.09/1.40 city: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(in_decl,type,
% 2.09/1.40 in: $i > $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(young_decl,type,
% 2.09/1.40 young: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(old_decl,type,
% 2.09/1.40 old: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(down_decl,type,
% 2.09/1.40 down: $i > $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(way_decl,type,
% 2.09/1.40 way: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(qmltpeq_decl,type,
% 2.09/1.40 qmltpeq: $i > $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(seat_decl,type,
% 2.09/1.40 seat: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(white_decl,type,
% 2.09/1.40 white: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(car_decl,type,
% 2.09/1.40 car: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(furniture_decl,type,
% 2.09/1.40 furniture: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(street_decl,type,
% 2.09/1.40 street: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(fellow_decl,type,
% 2.09/1.40 fellow: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(front_decl,type,
% 2.09/1.40 front: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(man_decl,type,
% 2.09/1.40 man: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(event_decl,type,
% 2.09/1.40 event: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(lonely_decl,type,
% 2.09/1.40 lonely: $i > mworld > $o ).
% 2.09/1.40
% 2.09/1.40 thf(reflexivity,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(symmetry,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [X: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(transitivity,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [X: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [Y: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(barrel_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(barrel_substitution_2,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(car_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(chevy_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(city_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(dirty_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(down_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(down_substitution_2,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(event_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(fellow_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( fellow @ A ) ) @ ( fellow @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(front_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( front @ A ) ) @ ( front @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(furniture_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( furniture @ A ) ) @ ( furniture @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(hollywood_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(in_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(in_substitution_2,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(lonely_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(man_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(old_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(seat_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( seat @ A ) ) @ ( seat @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(street_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(way_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(white_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(young_substitution_1,axiom,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mforall_di
% 2.09/1.40 @ ^ [A: $i] :
% 2.09/1.40 ( mforall_di
% 2.09/1.40 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( young @ A ) ) @ ( young @ B ) ) ) ) ) ).
% 2.09/1.40
% 2.09/1.40 thf(co1,conjecture,
% 2.09/1.40 ( mlocal
% 2.09/1.40 @ ( mand
% 2.09/1.40 @ ( mimplies
% 2.09/1.40 @ ( mexists_di
% 2.09/1.40 @ ^ [U: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [V: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [W: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [Y: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [Z: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X1: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X2: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X4: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X5: $i] : ( mand @ ( seat @ U ) @ ( mand @ ( furniture @ U ) @ ( mand @ ( front @ U ) @ ( mand @ ( seat @ V ) @ ( mand @ ( furniture @ V ) @ ( mand @ ( front @ V ) @ ( mand @ ( hollywood @ W ) @ ( mand @ ( city @ W ) @ ( mand @ ( event @ X ) @ ( mand @ ( street @ Y ) @ ( mand @ ( way @ Y ) @ ( mand @ ( lonely @ Y ) @ ( mand @ ( chevy @ Z ) @ ( mand @ ( car @ Z ) @ ( mand @ ( white @ Z ) @ ( mand @ ( dirty @ Z ) @ ( mand @ ( old @ Z ) @ ( mand @ ( barrel @ X @ Z ) @ ( mand @ ( down @ X @ Y ) @ ( mand @ ( in @ X @ W ) @ ( mand @ ( mnot @ ( qmltpeq @ X1 @ X2 ) ) @ ( mand @ ( fellow @ X1 ) @ ( mand @ ( man @ X1 ) @ ( mand @ ( young @ X1 ) @ ( mand @ ( fellow @ X2 ) @ ( mand @ ( man @ X2 ) @ ( mand @ ( young @ X2 ) @ ( mand @ ( qmltpeq @ X1 @ X4 ) @ ( mand @ ( in @ X4 @ U ) @ ( mand @ ( qmltpeq @ X2 @ X5 ) @ ( in @ X5 @ V ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.09/1.40 @ ( mexists_di
% 2.09/1.40 @ ^ [X6: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X7: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X8: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X9: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X10: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X11: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X12: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X13: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X15: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X16: $i] : ( mand @ ( seat @ X6 ) @ ( mand @ ( furniture @ X6 ) @ ( mand @ ( front @ X6 ) @ ( mand @ ( seat @ X7 ) @ ( mand @ ( furniture @ X7 ) @ ( mand @ ( front @ X7 ) @ ( mand @ ( hollywood @ X8 ) @ ( mand @ ( city @ X8 ) @ ( mand @ ( event @ X9 ) @ ( mand @ ( chevy @ X10 ) @ ( mand @ ( car @ X10 ) @ ( mand @ ( white @ X10 ) @ ( mand @ ( dirty @ X10 ) @ ( mand @ ( old @ X10 ) @ ( mand @ ( street @ X11 ) @ ( mand @ ( way @ X11 ) @ ( mand @ ( lonely @ X11 ) @ ( mand @ ( barrel @ X9 @ X10 ) @ ( mand @ ( down @ X9 @ X11 ) @ ( mand @ ( in @ X9 @ X8 ) @ ( mand @ ( mnot @ ( qmltpeq @ X12 @ X13 ) ) @ ( mand @ ( fellow @ X12 ) @ ( mand @ ( man @ X12 ) @ ( mand @ ( young @ X12 ) @ ( mand @ ( fellow @ X13 ) @ ( mand @ ( man @ X13 ) @ ( mand @ ( young @ X13 ) @ ( mand @ ( qmltpeq @ X12 @ X15 ) @ ( mand @ ( in @ X15 @ X6 ) @ ( mand @ ( qmltpeq @ X13 @ X16 ) @ ( in @ X16 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.09/1.40 @ ( mimplies
% 2.09/1.40 @ ( mexists_di
% 2.09/1.40 @ ^ [X17: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X18: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X19: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X20: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X21: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X22: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X23: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X24: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X26: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X27: $i] : ( mand @ ( seat @ X17 ) @ ( mand @ ( furniture @ X17 ) @ ( mand @ ( front @ X17 ) @ ( mand @ ( seat @ X18 ) @ ( mand @ ( furniture @ X18 ) @ ( mand @ ( front @ X18 ) @ ( mand @ ( hollywood @ X19 ) @ ( mand @ ( city @ X19 ) @ ( mand @ ( event @ X20 ) @ ( mand @ ( chevy @ X21 ) @ ( mand @ ( car @ X21 ) @ ( mand @ ( white @ X21 ) @ ( mand @ ( dirty @ X21 ) @ ( mand @ ( old @ X21 ) @ ( mand @ ( street @ X22 ) @ ( mand @ ( way @ X22 ) @ ( mand @ ( lonely @ X22 ) @ ( mand @ ( barrel @ X20 @ X21 ) @ ( mand @ ( down @ X20 @ X22 ) @ ( mand @ ( in @ X20 @ X19 ) @ ( mand @ ( mnot @ ( qmltpeq @ X23 @ X24 ) ) @ ( mand @ ( fellow @ X23 ) @ ( mand @ ( man @ X23 ) @ ( mand @ ( young @ X23 ) @ ( mand @ ( fellow @ X24 ) @ ( mand @ ( man @ X24 ) @ ( mand @ ( young @ X24 ) @ ( mand @ ( qmltpeq @ X23 @ X26 ) @ ( mand @ ( in @ X26 @ X17 ) @ ( mand @ ( qmltpeq @ X24 @ X27 ) @ ( in @ X27 @ X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.09/1.40 @ ( mexists_di
% 2.09/1.40 @ ^ [X28: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X29: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X30: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X31: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X32: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X33: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X34: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X35: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X37: $i] :
% 2.09/1.40 ( mexists_di
% 2.09/1.40 @ ^ [X38: $i] : ( mand @ ( seat @ X28 ) @ ( mand @ ( furniture @ X28 ) @ ( mand @ ( front @ X28 ) @ ( mand @ ( seat @ X29 ) @ ( mand @ ( furniture @ X29 ) @ ( mand @ ( front @ X29 ) @ ( mand @ ( hollywood @ X30 ) @ ( mand @ ( city @ X30 ) @ ( mand @ ( event @ X31 ) @ ( mand @ ( street @ X32 ) @ ( mand @ ( way @ X32 ) @ ( mand @ ( lonely @ X32 ) @ ( mand @ ( chevy @ X33 ) @ ( mand @ ( car @ X33 ) @ ( mand @ ( white @ X33 ) @ ( mand @ ( dirty @ X33 ) @ ( mand @ ( old @ X33 ) @ ( mand @ ( barrel @ X31 @ X33 ) @ ( mand @ ( down @ X31 @ X32 ) @ ( mand @ ( in @ X31 @ X30 ) @ ( mand @ ( mnot @ ( qmltpeq @ X34 @ X35 ) ) @ ( mand @ ( fellow @ X34 ) @ ( mand @ ( man @ X34 ) @ ( mand @ ( young @ X34 ) @ ( mand @ ( fellow @ X35 ) @ ( mand @ ( man @ X35 ) @ ( mand @ ( young @ X35 ) @ ( mand @ ( qmltpeq @ X34 @ X37 ) @ ( mand @ ( in @ X37 @ X28 ) @ ( mand @ ( qmltpeq @ X35 @ X38 ) @ ( in @ X38 @ X29 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.09/1.40 ------------------------
% 2.09/1.42 % (1935)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_1584 for (2999ds/27Mi)
% 2.09/1.42 % (1938)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_1584 for (2999ds/275Mi)
% 2.09/1.42 % (1933)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/183Mi)
% 2.09/1.42 % (1934)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_1584 for (2999ds/4Mi)
% 2.09/1.42 % (1936)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/2Mi)
% 2.09/1.42 % (1937)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_1584 for (2999ds/2Mi)
% 2.09/1.42 % (1939)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/18Mi)
% 2.09/1.42 % (1935)Instruction limit reached!
% 2.09/1.42 % (1935)------------------------------
% 2.09/1.42 % (1935)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.42 % (1935)Termination reason: Unknown
% 2.09/1.42 % (1935)Termination phase: Property scanning
% 2.09/1.42
% 2.09/1.42 % (1935)Memory used [KB]: 1279
% 2.09/1.42 % (1935)Time elapsed: 0.009 s
% 2.09/1.42 % (1935)Instructions burned: 29 (million)
% 2.09/1.42 % (1935)------------------------------
% 2.09/1.42 % (1935)------------------------------
% 2.09/1.42 % (1936)Instruction limit reached!
% 2.09/1.42 % (1936)------------------------------
% 2.09/1.42 % (1936)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.42 % (1936)Termination reason: Unknown
% 2.09/1.42 % (1936)Termination phase: shuffling
% 2.09/1.42
% 2.09/1.42 % (1936)Memory used [KB]: 1023
% 2.09/1.42 % (1936)Time elapsed: 0.003 s
% 2.09/1.42 % (1936)Instructions burned: 2 (million)
% 2.09/1.42 % (1936)------------------------------
% 2.09/1.42 % (1936)------------------------------
% 2.09/1.42 % (1937)Instruction limit reached!
% 2.09/1.42 % (1937)------------------------------
% 2.09/1.42 % (1937)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.42 % (1937)Termination reason: Unknown
% 2.09/1.42 % (1937)Termination phase: shuffling
% 2.09/1.42
% 2.09/1.42 % (1937)Memory used [KB]: 1023
% 2.09/1.42 % (1937)Time elapsed: 0.003 s
% 2.09/1.42 % (1937)Instructions burned: 2 (million)
% 2.09/1.42 % (1937)------------------------------
% 2.09/1.42 % (1937)------------------------------
% 2.09/1.42 % (1934)Instruction limit reached!
% 2.09/1.42 % (1934)------------------------------
% 2.09/1.42 % (1934)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.42 % (1934)Termination reason: Unknown
% 2.09/1.42 % (1934)Termination phase: shuffling
% 2.09/1.42
% 2.09/1.42 % (1934)Memory used [KB]: 1151
% 2.09/1.42 % (1934)Time elapsed: 0.004 s
% 2.09/1.42 % (1934)Instructions burned: 4 (million)
% 2.09/1.42 % (1934)------------------------------
% 2.09/1.42 % (1934)------------------------------
% 2.09/1.43 % (1939)Instruction limit reached!
% 2.09/1.43 % (1939)------------------------------
% 2.09/1.43 % (1939)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.43 % (1939)Termination reason: Unknown
% 2.09/1.43 % (1939)Termination phase: Property scanning
% 2.09/1.43
% 2.09/1.43 % (1939)Memory used [KB]: 1279
% 2.09/1.43 % (1939)Time elapsed: 0.011 s
% 2.09/1.43 % (1939)Instructions burned: 19 (million)
% 2.09/1.43 % (1939)------------------------------
% 2.09/1.43 % (1939)------------------------------
% 2.09/1.43 % (1940)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/3Mi)
% 2.09/1.43 % (1940)Instruction limit reached!
% 2.09/1.43 % (1940)------------------------------
% 2.09/1.43 % (1940)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.43 % (1940)Termination reason: Unknown
% 2.09/1.43 % (1940)Termination phase: shuffling
% 2.09/1.43
% 2.09/1.43 % (1940)Memory used [KB]: 1151
% 2.09/1.43 % (1940)Time elapsed: 0.003 s
% 2.09/1.43 % (1940)Instructions burned: 5 (million)
% 2.09/1.43 % (1940)------------------------------
% 2.09/1.43 % (1940)------------------------------
% 2.09/1.44 % (1941)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_1584 for (2999ds/37Mi)
% 2.09/1.44 % (1942)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_1584 for (2999ds/15Mi)
% 2.09/1.44 % (1943)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_1584 for (2999ds/3Mi)
% 2.09/1.44 % (1944)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_1584 for (2999ds/1041Mi)
% 2.09/1.44 % (1943)Instruction limit reached!
% 2.09/1.44 % (1943)------------------------------
% 2.09/1.44 % (1943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.44 % (1943)Termination reason: Unknown
% 2.09/1.44 % (1943)Termination phase: shuffling
% 2.09/1.44
% 2.09/1.44 % (1943)Memory used [KB]: 1023
% 2.09/1.44 % (1943)Time elapsed: 0.003 s
% 2.09/1.44 % (1943)Instructions burned: 3 (million)
% 2.09/1.44 % (1943)------------------------------
% 2.09/1.44 % (1943)------------------------------
% 2.09/1.44 % (1945)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/7Mi)
% 2.09/1.45 % (1945)Instruction limit reached!
% 2.09/1.45 % (1945)------------------------------
% 2.09/1.45 % (1945)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.45 % (1945)Termination reason: Unknown
% 2.09/1.45 % (1945)Termination phase: shuffling
% 2.09/1.45
% 2.09/1.45 % (1945)Memory used [KB]: 1151
% 2.09/1.45 % (1945)Time elapsed: 0.004 s
% 2.09/1.45 % (1945)Instructions burned: 9 (million)
% 2.09/1.45 % (1945)------------------------------
% 2.09/1.45 % (1945)------------------------------
% 2.09/1.45 % (1942)Instruction limit reached!
% 2.09/1.45 % (1942)------------------------------
% 2.09/1.45 % (1942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.45 % (1942)Termination reason: Unknown
% 2.09/1.45 % (1942)Termination phase: Property scanning
% 2.09/1.45
% 2.09/1.45 % (1942)Memory used [KB]: 1279
% 2.09/1.45 % (1942)Time elapsed: 0.009 s
% 2.09/1.45 % (1942)Instructions burned: 15 (million)
% 2.09/1.45 % (1942)------------------------------
% 2.09/1.45 % (1942)------------------------------
% 2.09/1.45 % (1938)Refutation not found, incomplete strategy
% 2.09/1.45 % (1938)------------------------------
% 2.09/1.45 % (1938)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.45 % (1938)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.45
% 2.09/1.45
% 2.09/1.45 % (1938)Memory used [KB]: 6140
% 2.09/1.45 % (1938)Time elapsed: 0.034 s
% 2.09/1.45 % (1938)Instructions burned: 120 (million)
% 2.09/1.45 % (1938)------------------------------
% 2.09/1.45 % (1938)------------------------------
% 2.09/1.46 % (1947)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_1584 for (2999ds/3Mi)
% 2.09/1.46 % (1941)Instruction limit reached!
% 2.09/1.46 % (1941)------------------------------
% 2.09/1.46 % (1941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.46 % (1941)Termination reason: Unknown
% 2.09/1.46 % (1941)Termination phase: Saturation
% 2.09/1.46
% 2.09/1.46 % (1941)Memory used [KB]: 1279
% 2.09/1.46 % (1941)Time elapsed: 0.019 s
% 2.09/1.46 % (1941)Instructions burned: 38 (million)
% 2.09/1.46 % (1941)------------------------------
% 2.09/1.46 % (1941)------------------------------
% 2.09/1.46 % (1947)Instruction limit reached!
% 2.09/1.46 % (1947)------------------------------
% 2.09/1.46 % (1947)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.46 % (1947)Termination reason: Unknown
% 2.09/1.46 % (1947)Termination phase: shuffling
% 2.09/1.46
% 2.09/1.46 % (1947)Memory used [KB]: 1151
% 2.09/1.46 % (1947)Time elapsed: 0.003 s
% 2.09/1.46 % (1947)Instructions burned: 5 (million)
% 2.09/1.46 % (1947)------------------------------
% 2.09/1.46 % (1947)------------------------------
% 2.09/1.46 % (1949)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/7Mi)
% 2.09/1.46 % (1946)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/16Mi)
% 2.09/1.46 % (1949)Instruction limit reached!
% 2.09/1.46 % (1949)------------------------------
% 2.09/1.46 % (1949)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.46 % (1949)Termination reason: Unknown
% 2.09/1.46 % (1949)Termination phase: shuffling
% 2.09/1.46
% 2.09/1.46 % (1949)Memory used [KB]: 1151
% 2.09/1.46 % (1949)Time elapsed: 0.003 s
% 2.09/1.46 % (1949)Instructions burned: 9 (million)
% 2.09/1.46 % (1949)------------------------------
% 2.09/1.46 % (1949)------------------------------
% 2.09/1.47 % (1948)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_1584 for (2999ds/3Mi)
% 2.09/1.47 % (1946)Instruction limit reached!
% 2.09/1.47 % (1946)------------------------------
% 2.09/1.47 % (1946)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.47 % (1946)Termination reason: Unknown
% 2.09/1.47 % (1946)Termination phase: Property scanning
% 2.09/1.47
% 2.09/1.47 % (1946)Memory used [KB]: 1279
% 2.09/1.47 % (1946)Time elapsed: 0.009 s
% 2.09/1.47 % (1946)Instructions burned: 16 (million)
% 2.09/1.47 % (1946)------------------------------
% 2.09/1.47 % (1946)------------------------------
% 2.09/1.47 % (1948)Instruction limit reached!
% 2.09/1.47 % (1948)------------------------------
% 2.09/1.47 % (1948)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.47 % (1948)Termination reason: Unknown
% 2.09/1.47 % (1948)Termination phase: shuffling
% 2.09/1.47
% 2.09/1.47 % (1948)Memory used [KB]: 1151
% 2.09/1.47 % (1948)Time elapsed: 0.004 s
% 2.09/1.47 % (1948)Instructions burned: 4 (million)
% 2.09/1.47 % (1948)------------------------------
% 2.09/1.47 % (1948)------------------------------
% 2.09/1.47 % (1951)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/4Mi)
% 2.09/1.47 % (1951)Instruction limit reached!
% 2.09/1.47 % (1951)------------------------------
% 2.09/1.47 % (1951)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.47 % (1951)Termination reason: Unknown
% 2.09/1.47 % (1951)Termination phase: shuffling
% 2.09/1.47
% 2.09/1.47 % (1951)Memory used [KB]: 1151
% 2.09/1.47 % (1951)Time elapsed: 0.003 s
% 2.09/1.47 % (1951)Instructions burned: 5 (million)
% 2.09/1.47 % (1951)------------------------------
% 2.09/1.47 % (1951)------------------------------
% 2.09/1.47 % (1952)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/18Mi)
% 2.09/1.47 % (1952)Instruction limit reached!
% 2.09/1.47 % (1952)------------------------------
% 2.09/1.47 % (1952)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.47 % (1952)Termination reason: Unknown
% 2.09/1.47 % (1952)Termination phase: Property scanning
% 2.09/1.47
% 2.09/1.48 % (1952)Memory used [KB]: 1279
% 2.09/1.48 % (1952)Time elapsed: 0.006 s
% 2.09/1.48 % (1952)Instructions burned: 21 (million)
% 2.09/1.48 % (1952)------------------------------
% 2.09/1.48 % (1952)------------------------------
% 2.09/1.48 % (1950)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/3Mi)
% 2.09/1.48 % (1950)Instruction limit reached!
% 2.09/1.48 % (1950)------------------------------
% 2.09/1.48 % (1950)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.48 % (1950)Termination reason: Unknown
% 2.09/1.48 % (1950)Termination phase: shuffling
% 2.09/1.48
% 2.09/1.48 % (1950)Memory used [KB]: 1151
% 2.09/1.48 % (1950)Time elapsed: 0.003 s
% 2.09/1.48 % (1950)Instructions burned: 3 (million)
% 2.09/1.48 % (1950)------------------------------
% 2.09/1.48 % (1950)------------------------------
% 2.09/1.48 % (1956)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_1584 for (2999ds/902Mi)
% 2.09/1.48 % (1957)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_1584 for (2999ds/21Mi)
% 2.09/1.48 % (1953)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/710Mi)
% 2.09/1.48 % (1954)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/6Mi)
% 2.09/1.49 % (1956)Refutation not found, incomplete strategy
% 2.09/1.49 % (1956)------------------------------
% 2.09/1.49 % (1956)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.49 % (1956)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.49
% 2.09/1.49
% 2.09/1.49 % (1956)Memory used [KB]: 5756
% 2.09/1.49 % (1956)Time elapsed: 0.009 s
% 2.09/1.49 % (1956)Instructions burned: 27 (million)
% 2.09/1.49 % (1956)------------------------------
% 2.09/1.49 % (1956)------------------------------
% 2.09/1.49 % (1954)Instruction limit reached!
% 2.09/1.49 % (1954)------------------------------
% 2.09/1.49 % (1954)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.49 % (1954)Termination reason: Unknown
% 2.09/1.49 % (1954)Termination phase: shuffling
% 2.09/1.49
% 2.09/1.49 % (1954)Memory used [KB]: 1151
% 2.09/1.49 % (1954)Time elapsed: 0.005 s
% 2.09/1.49 % (1954)Instructions burned: 7 (million)
% 2.09/1.49 % (1954)------------------------------
% 2.09/1.49 % (1954)------------------------------
% 2.09/1.49 % (1957)Instruction limit reached!
% 2.09/1.49 % (1957)------------------------------
% 2.09/1.49 % (1957)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.49 % (1957)Termination reason: Unknown
% 2.09/1.49 % (1957)Termination phase: SInE selection
% 2.09/1.49
% 2.09/1.49 % (1957)Memory used [KB]: 1279
% 2.09/1.49 % (1957)Time elapsed: 0.006 s
% 2.09/1.49 % (1957)Instructions burned: 21 (million)
% 2.09/1.49 % (1957)------------------------------
% 2.09/1.49 % (1957)------------------------------
% 2.09/1.49 % (1933)Instruction limit reached!
% 2.09/1.49 % (1933)------------------------------
% 2.09/1.49 % (1933)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.49 % (1933)Termination reason: Unknown
% 2.09/1.49 % (1933)Termination phase: Saturation
% 2.09/1.49
% 2.09/1.49 % (1933)Memory used [KB]: 6524
% 2.09/1.49 % (1933)Time elapsed: 0.072 s
% 2.09/1.49 % (1933)Instructions burned: 183 (million)
% 2.09/1.49 % (1933)------------------------------
% 2.09/1.49 % (1933)------------------------------
% 2.09/1.49 % (1958)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/5Mi)
% 2.09/1.49 % (1958)Instruction limit reached!
% 2.09/1.49 % (1958)------------------------------
% 2.09/1.49 % (1958)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.49 % (1958)Termination reason: Unknown
% 2.09/1.49 % (1958)Termination phase: shuffling
% 2.09/1.49
% 2.09/1.49 % (1958)Memory used [KB]: 1151
% 2.09/1.49 % (1958)Time elapsed: 0.004 s
% 2.09/1.49 % (1958)Instructions burned: 5 (million)
% 2.09/1.49 % (1958)------------------------------
% 2.09/1.49 % (1958)------------------------------
% 2.09/1.50 % (1959)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_1584 for (2999ds/6Mi)
% 2.09/1.50 % (1961)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_1584 for (2999ds/779Mi)
% 2.09/1.50 % (1959)Instruction limit reached!
% 2.09/1.50 % (1959)------------------------------
% 2.09/1.50 % (1959)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.50 % (1959)Termination reason: Unknown
% 2.09/1.50 % (1959)Termination phase: shuffling
% 2.09/1.50
% 2.09/1.50 % (1959)Memory used [KB]: 1151
% 2.09/1.50 % (1959)Time elapsed: 0.004 s
% 2.09/1.50 % (1959)Instructions burned: 9 (million)
% 2.09/1.50 % (1959)------------------------------
% 2.09/1.50 % (1959)------------------------------
% 2.09/1.50 % (1962)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_1584 for (2999ds/19Mi)
% 2.09/1.51 % (1960)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/377Mi)
% 2.09/1.51 % (1962)Instruction limit reached!
% 2.09/1.51 % (1962)------------------------------
% 2.09/1.51 % (1962)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.51 % (1962)Termination reason: Unknown
% 2.09/1.51 % (1962)Termination phase: Property scanning
% 2.09/1.51
% 2.09/1.51 % (1962)Memory used [KB]: 1279
% 2.09/1.51 % (1962)Time elapsed: 0.007 s
% 2.09/1.51 % (1962)Instructions burned: 20 (million)
% 2.09/1.51 % (1962)------------------------------
% 2.09/1.51 % (1962)------------------------------
% 2.09/1.51 % (1963)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/879Mi)
% 2.09/1.51 % (1964)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/17Mi)
% 2.09/1.52 % (1964)Instruction limit reached!
% 2.09/1.52 % (1964)------------------------------
% 2.09/1.52 % (1964)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.52 % (1964)Termination reason: Unknown
% 2.09/1.52 % (1964)Termination phase: Property scanning
% 2.09/1.52
% 2.09/1.52 % (1964)Memory used [KB]: 1279
% 2.09/1.52 % (1964)Time elapsed: 0.007 s
% 2.09/1.52 % (1964)Instructions burned: 20 (million)
% 2.09/1.52 % (1964)------------------------------
% 2.09/1.52 % (1964)------------------------------
% 2.09/1.52 % (1965)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_1584 for (2999ds/3Mi)
% 2.09/1.52 % (1965)Instruction limit reached!
% 2.09/1.52 % (1965)------------------------------
% 2.09/1.52 % (1965)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.52 % (1965)Termination reason: Unknown
% 2.09/1.52 % (1965)Termination phase: shuffling
% 2.09/1.52
% 2.09/1.52 % (1965)Memory used [KB]: 1151
% 2.09/1.52 % (1965)Time elapsed: 0.003 s
% 2.09/1.52 % (1965)Instructions burned: 5 (million)
% 2.09/1.52 % (1965)------------------------------
% 2.09/1.52 % (1965)------------------------------
% 2.09/1.53 % (1966)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_1584 for (2998ds/30Mi)
% 2.09/1.53 % (1967)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_1584 for (2998ds/127Mi)
% 2.09/1.53 % (1966)Instruction limit reached!
% 2.09/1.53 % (1966)------------------------------
% 2.09/1.53 % (1966)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.53 % (1966)Termination reason: Unknown
% 2.09/1.53 % (1966)Termination phase: Property scanning
% 2.09/1.53
% 2.09/1.53 % (1966)Memory used [KB]: 1279
% 2.09/1.53 % (1966)Time elapsed: 0.010 s
% 2.09/1.53 % (1966)Instructions burned: 32 (million)
% 2.09/1.53 % (1966)------------------------------
% 2.09/1.53 % (1966)------------------------------
% 2.09/1.54 % (1968)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_1584 for (2998ds/100Mi)
% 2.09/1.56 % (1967)Instruction limit reached!
% 2.09/1.56 % (1967)------------------------------
% 2.09/1.56 % (1967)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.56 % (1967)Termination reason: Unknown
% 2.09/1.56 % (1967)Termination phase: Saturation
% 2.09/1.56
% 2.09/1.56 % (1967)Memory used [KB]: 6268
% 2.09/1.56 % (1967)Time elapsed: 0.035 s
% 2.09/1.56 % (1967)Instructions burned: 128 (million)
% 2.09/1.56 % (1967)------------------------------
% 2.09/1.56 % (1967)------------------------------
% 2.09/1.57 % (1961)Refutation not found, incomplete strategy
% 2.09/1.57 % (1961)------------------------------
% 2.09/1.57 % (1961)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.57 % (1961)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.57
% 2.09/1.57
% 2.09/1.57 % (1961)Memory used [KB]: 6524
% 2.09/1.57 % (1961)Time elapsed: 0.070 s
% 2.09/1.57 % (1961)Instructions burned: 277 (million)
% 2.09/1.57 % (1961)------------------------------
% 2.09/1.57 % (1961)------------------------------
% 2.09/1.57 % (1968)Instruction limit reached!
% 2.09/1.57 % (1968)------------------------------
% 2.09/1.57 % (1968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.57 % (1968)Termination reason: Unknown
% 2.09/1.57 % (1968)Termination phase: Saturation
% 2.09/1.57
% 2.09/1.57 % (1968)Memory used [KB]: 6140
% 2.09/1.57 % (1968)Time elapsed: 0.027 s
% 2.09/1.57 % (1968)Instructions burned: 101 (million)
% 2.09/1.57 % (1968)------------------------------
% 2.09/1.57 % (1968)------------------------------
% 2.09/1.57 % (1970)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_1584 for (2998ds/3Mi)
% 2.09/1.57 % (1970)Instruction limit reached!
% 2.09/1.57 % (1970)------------------------------
% 2.09/1.57 % (1970)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.57 % (1970)Termination reason: Unknown
% 2.09/1.57 % (1970)Termination phase: shuffling
% 2.09/1.57
% 2.09/1.57 % (1970)Memory used [KB]: 1151
% 2.09/1.57 % (1970)Time elapsed: 0.003 s
% 2.09/1.57 % (1970)Instructions burned: 5 (million)
% 2.09/1.57 % (1970)------------------------------
% 2.09/1.57 % (1970)------------------------------
% 2.09/1.58 % (1971)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_1584 for (2998ds/20Mi)
% 2.09/1.58 % (1972)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_1584 for (2998ds/86Mi)
% 2.09/1.58 % (1971)Instruction limit reached!
% 2.09/1.58 % (1971)------------------------------
% 2.09/1.58 % (1971)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.58 % (1971)Termination reason: Unknown
% 2.09/1.58 % (1971)Termination phase: SInE selection
% 2.09/1.58
% 2.09/1.58 % (1971)Memory used [KB]: 1279
% 2.09/1.58 % (1971)Time elapsed: 0.006 s
% 2.09/1.58 % (1971)Instructions burned: 21 (million)
% 2.09/1.58 % (1971)------------------------------
% 2.09/1.58 % (1971)------------------------------
% 2.09/1.58 % (1973)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_1584 for (2998ds/107Mi)
% 2.09/1.59 % (1974)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_1584 for (2998ds/39Mi)
% 2.09/1.60 % (1972)Instruction limit reached!
% 2.09/1.60 % (1972)------------------------------
% 2.09/1.60 % (1972)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.60 % (1972)Termination reason: Unknown
% 2.09/1.60 % (1972)Termination phase: Saturation
% 2.09/1.60
% 2.09/1.60 % (1972)Memory used [KB]: 6268
% 2.09/1.60 % (1972)Time elapsed: 0.022 s
% 2.09/1.60 % (1972)Instructions burned: 87 (million)
% 2.09/1.60 % (1972)------------------------------
% 2.09/1.60 % (1972)------------------------------
% 2.09/1.60 % (1974)Instruction limit reached!
% 2.09/1.60 % (1974)------------------------------
% 2.09/1.60 % (1974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.60 % (1974)Termination reason: Unknown
% 2.09/1.60 % (1974)Termination phase: Saturation
% 2.09/1.60
% 2.09/1.60 % (1974)Memory used [KB]: 5884
% 2.09/1.60 % (1974)Time elapsed: 0.010 s
% 2.09/1.60 % (1974)Instructions burned: 39 (million)
% 2.09/1.60 % (1974)------------------------------
% 2.09/1.60 % (1974)------------------------------
% 2.09/1.61 % (1975)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_1584 for (2998ds/448Mi)
% 2.09/1.61 % (1976)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_1584 for (2998ds/46Mi)
% 2.09/1.61 % (1973)Instruction limit reached!
% 2.09/1.61 % (1973)------------------------------
% 2.09/1.61 % (1973)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.61 % (1973)Termination reason: Unknown
% 2.09/1.61 % (1973)Termination phase: Saturation
% 2.09/1.61
% 2.09/1.61 % (1973)Memory used [KB]: 6140
% 2.09/1.61 % (1973)Time elapsed: 0.030 s
% 2.09/1.61 % (1973)Instructions burned: 109 (million)
% 2.09/1.61 % (1973)------------------------------
% 2.09/1.61 % (1973)------------------------------
% 2.09/1.61 % (1960)Instruction limit reached!
% 2.09/1.61 % (1960)------------------------------
% 2.09/1.61 % (1960)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.61 % (1960)Termination reason: Unknown
% 2.09/1.61 % (1960)Termination phase: Saturation
% 2.09/1.61
% 2.09/1.61 % (1960)Memory used [KB]: 7036
% 2.09/1.61 % (1960)Time elapsed: 0.111 s
% 2.09/1.61 % (1960)Instructions burned: 377 (million)
% 2.09/1.61 % (1960)------------------------------
% 2.09/1.61 % (1960)------------------------------
% 2.09/1.62 % (1977)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_1584 for (2998ds/98Mi)
% 2.09/1.62 % (1976)Instruction limit reached!
% 2.09/1.62 % (1976)------------------------------
% 2.09/1.62 % (1976)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.62 % (1976)Termination reason: Unknown
% 2.09/1.62 % (1976)Termination phase: Saturation
% 2.09/1.62
% 2.09/1.62 % (1976)Memory used [KB]: 5884
% 2.09/1.62 % (1976)Time elapsed: 0.014 s
% 2.09/1.62 % (1976)Instructions burned: 47 (million)
% 2.09/1.62 % (1976)------------------------------
% 2.09/1.62 % (1976)------------------------------
% 2.09/1.62 % (1978)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_1584 for (2998ds/507Mi)
% 2.09/1.63 % (1979)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_1584 for (2997ds/149Mi)
% 2.09/1.65 % (1977)Instruction limit reached!
% 2.09/1.65 % (1977)------------------------------
% 2.09/1.65 % (1977)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.65 % (1977)Termination reason: Unknown
% 2.09/1.65 % (1977)Termination phase: Saturation
% 2.09/1.65
% 2.09/1.65 % (1977)Memory used [KB]: 1791
% 2.09/1.65 % (1977)Time elapsed: 0.027 s
% 2.09/1.65 % (1977)Instructions burned: 98 (million)
% 2.09/1.65 % (1977)------------------------------
% 2.09/1.65 % (1977)------------------------------
% 2.09/1.66 % (1980)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_1584 for (2997ds/39Mi)
% 2.09/1.67 % (1980)Instruction limit reached!
% 2.09/1.67 % (1980)------------------------------
% 2.09/1.67 % (1980)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.67 % (1980)Termination reason: Unknown
% 2.09/1.67 % (1980)Termination phase: Property scanning
% 2.09/1.67
% 2.09/1.67 % (1980)Memory used [KB]: 1279
% 2.09/1.67 % (1980)Time elapsed: 0.012 s
% 2.09/1.67 % (1980)Instructions burned: 41 (million)
% 2.09/1.67 % (1980)------------------------------
% 2.09/1.67 % (1980)------------------------------
% 2.09/1.68 % (1979)Instruction limit reached!
% 2.09/1.68 % (1979)------------------------------
% 2.09/1.68 % (1979)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.68 % (1979)Termination reason: Unknown
% 2.09/1.68 % (1979)Termination phase: Saturation
% 2.09/1.68
% 2.09/1.68 % (1979)Memory used [KB]: 6524
% 2.09/1.68 % (1979)Time elapsed: 0.065 s
% 2.09/1.68 % (1979)Instructions burned: 150 (million)
% 2.09/1.68 % (1979)------------------------------
% 2.09/1.68 % (1979)------------------------------
% 2.09/1.68 % (1981)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_1584 for (2997ds/6Mi)
% 2.09/1.68 % (1981)Instruction limit reached!
% 2.09/1.68 % (1981)------------------------------
% 2.09/1.68 % (1981)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.68 % (1981)Termination reason: Unknown
% 2.09/1.68 % (1981)Termination phase: shuffling
% 2.09/1.68
% 2.09/1.68 % (1981)Memory used [KB]: 1151
% 2.09/1.68 % (1981)Time elapsed: 0.004 s
% 2.09/1.68 % (1981)Instructions burned: 9 (million)
% 2.09/1.68 % (1981)------------------------------
% 2.09/1.68 % (1981)------------------------------
% 2.09/1.69 % (1982)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_1584 for (2997ds/1087Mi)
% 2.09/1.69 % (1983)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_1584 for (2997ds/47Mi)
% 2.09/1.70 % (1953)Instruction limit reached!
% 2.09/1.70 % (1953)------------------------------
% 2.09/1.70 % (1953)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.70 % (1953)Termination reason: Unknown
% 2.09/1.70 % (1953)Termination phase: Saturation
% 2.09/1.70
% 2.09/1.70 % (1953)Memory used [KB]: 6268
% 2.09/1.70 % (1953)Time elapsed: 0.218 s
% 2.09/1.70 % (1953)Instructions burned: 711 (million)
% 2.09/1.70 % (1953)------------------------------
% 2.09/1.70 % (1953)------------------------------
% 2.09/1.70 % (1983)Instruction limit reached!
% 2.09/1.70 % (1983)------------------------------
% 2.09/1.70 % (1983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.70 % (1983)Termination reason: Unknown
% 2.09/1.70 % (1983)Termination phase: Saturation
% 2.09/1.70
% 2.09/1.70 % (1983)Memory used [KB]: 5884
% 2.09/1.70 % (1983)Time elapsed: 0.014 s
% 2.09/1.70 % (1983)Instructions burned: 47 (million)
% 2.09/1.70 % (1983)------------------------------
% 2.09/1.70 % (1983)------------------------------
% 2.09/1.70 % (1982)Refutation not found, incomplete strategy
% 2.09/1.70 % (1982)------------------------------
% 2.09/1.70 % (1982)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.70 % (1982)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.70
% 2.09/1.70
% 2.09/1.70 % (1982)Memory used [KB]: 6140
% 2.09/1.70 % (1982)Time elapsed: 0.020 s
% 2.09/1.70 % (1982)Instructions burned: 75 (million)
% 2.09/1.70 % (1982)------------------------------
% 2.09/1.70 % (1982)------------------------------
% 2.09/1.71 % (1984)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_1584 for (2996ds/44Mi)
% 2.09/1.71 % (1985)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_1584 for (2996ds/432Mi)
% 2.09/1.71 % (1986)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_1584 for (2996ds/62Mi)
% 2.09/1.72 % (1975)Instruction limit reached!
% 2.09/1.72 % (1975)------------------------------
% 2.09/1.72 % (1975)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.72 % (1975)Termination reason: Unknown
% 2.09/1.72 % (1975)Termination phase: Saturation
% 2.09/1.72
% 2.09/1.72 % (1975)Memory used [KB]: 6524
% 2.09/1.72 % (1975)Time elapsed: 0.133 s
% 2.09/1.72 % (1975)Instructions burned: 449 (million)
% 2.09/1.72 % (1975)------------------------------
% 2.09/1.72 % (1975)------------------------------
% 2.09/1.72 % (1984)Instruction limit reached!
% 2.09/1.72 % (1984)------------------------------
% 2.09/1.72 % (1984)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.72 % (1984)Termination reason: Unknown
% 2.09/1.72 % (1984)Termination phase: Saturation
% 2.09/1.72
% 2.09/1.72 % (1984)Memory used [KB]: 1407
% 2.09/1.72 % (1984)Time elapsed: 0.013 s
% 2.09/1.72 % (1984)Instructions burned: 44 (million)
% 2.09/1.72 % (1984)------------------------------
% 2.09/1.72 % (1984)------------------------------
% 2.09/1.73 % (1987)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_1584 for (2996ds/31Mi)
% 2.09/1.73 % (1986)Instruction limit reached!
% 2.09/1.73 % (1986)------------------------------
% 2.09/1.73 % (1986)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.73 % (1986)Termination reason: Unknown
% 2.09/1.73 % (1986)Termination phase: Saturation
% 2.09/1.73
% 2.09/1.73 % (1986)Memory used [KB]: 6140
% 2.09/1.73 % (1986)Time elapsed: 0.016 s
% 2.09/1.73 % (1986)Instructions burned: 62 (million)
% 2.09/1.73 % (1986)------------------------------
% 2.09/1.73 % (1986)------------------------------
% 2.09/1.73 % (1988)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_1584 for (2996ds/96Mi)
% 2.09/1.74 % (1963)Instruction limit reached!
% 2.09/1.74 % (1963)------------------------------
% 2.09/1.74 % (1963)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.74 % (1963)Termination reason: Unknown
% 2.09/1.74 % (1963)Termination phase: Saturation
% 2.09/1.74
% 2.09/1.74 % (1963)Memory used [KB]: 8443
% 2.09/1.74 % (1963)Time elapsed: 0.231 s
% 2.09/1.74 % (1963)Instructions burned: 882 (million)
% 2.09/1.74 % (1963)------------------------------
% 2.09/1.74 % (1963)------------------------------
% 2.09/1.74 % (1987)Instruction limit reached!
% 2.09/1.74 % (1987)------------------------------
% 2.09/1.74 % (1987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.74 % (1987)Termination reason: Unknown
% 2.09/1.74 % (1987)Termination phase: Property scanning
% 2.09/1.74
% 2.09/1.74 % (1987)Memory used [KB]: 1279
% 2.09/1.74 % (1987)Time elapsed: 0.009 s
% 2.09/1.74 % (1987)Instructions burned: 33 (million)
% 2.09/1.74 % (1987)------------------------------
% 2.09/1.74 % (1987)------------------------------
% 2.09/1.74 % (1989)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_1584 for (2996ds/453Mi)
% 2.09/1.74 % (1944)Instruction limit reached!
% 2.09/1.74 % (1944)------------------------------
% 2.09/1.74 % (1944)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.74 % (1944)Termination reason: Unknown
% 2.09/1.74 % (1944)Termination phase: Saturation
% 2.09/1.74
% 2.09/1.74 % (1944)Memory used [KB]: 8443
% 2.09/1.74 % (1944)Time elapsed: 0.304 s
% 2.09/1.74 % (1944)Instructions burned: 1041 (million)
% 2.09/1.74 % (1944)------------------------------
% 2.09/1.74 % (1944)------------------------------
% 2.09/1.75 % (1990)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_1584 for (2996ds/71Mi)
% 2.09/1.75 % (1991)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_1584 for (2996ds/83Mi)
% 2.09/1.75 % (1992)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_1584 for (2996ds/11Mi)
% 2.09/1.76 % (1988)Instruction limit reached!
% 2.09/1.76 % (1988)------------------------------
% 2.09/1.76 % (1988)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.76 % (1988)Termination reason: Unknown
% 2.09/1.76 % (1988)Termination phase: Saturation
% 2.09/1.76
% 2.09/1.76 % (1988)Memory used [KB]: 6268
% 2.09/1.76 % (1988)Time elapsed: 0.027 s
% 2.09/1.76 % (1988)Instructions burned: 97 (million)
% 2.09/1.76 % (1988)------------------------------
% 2.09/1.76 % (1988)------------------------------
% 2.09/1.76 % (1992)Instruction limit reached!
% 2.09/1.76 % (1992)------------------------------
% 2.09/1.76 % (1992)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.76 % (1992)Termination reason: Unknown
% 2.09/1.76 % (1992)Termination phase: Property scanning
% 2.09/1.76
% 2.09/1.76 % (1992)Memory used [KB]: 1279
% 2.09/1.76 % (1992)Time elapsed: 0.005 s
% 2.09/1.76 % (1992)Instructions burned: 12 (million)
% 2.09/1.76 % (1992)------------------------------
% 2.09/1.76 % (1992)------------------------------
% 2.09/1.76 % (1978)Instruction limit reached!
% 2.09/1.76 % (1978)------------------------------
% 2.09/1.76 % (1978)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.76 % (1978)Termination reason: Unknown
% 2.09/1.76 % (1978)Termination phase: Saturation
% 2.09/1.76
% 2.09/1.76 % (1978)Memory used [KB]: 6780
% 2.09/1.76 % (1978)Time elapsed: 0.161 s
% 2.09/1.76 % (1978)Instructions burned: 509 (million)
% 2.09/1.76 % (1978)------------------------------
% 2.09/1.76 % (1978)------------------------------
% 2.09/1.76 % (1990)Instruction limit reached!
% 2.09/1.76 % (1990)------------------------------
% 2.09/1.76 % (1990)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.76 % (1990)Termination reason: Unknown
% 2.09/1.76 % (1990)Termination phase: Saturation
% 2.09/1.76
% 2.09/1.76 % (1990)Memory used [KB]: 6140
% 2.09/1.76 % (1990)Time elapsed: 0.018 s
% 2.09/1.76 % (1990)Instructions burned: 72 (million)
% 2.09/1.76 % (1990)------------------------------
% 2.09/1.76 % (1990)------------------------------
% 2.09/1.77 % (1993)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_1584 for (2996ds/41Mi)
% 2.09/1.77 % (1994)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_1584 for (2996ds/6Mi)
% 2.09/1.77 % (1991)Instruction limit reached!
% 2.09/1.77 % (1991)------------------------------
% 2.09/1.77 % (1991)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.77 % (1991)Termination reason: Unknown
% 2.09/1.77 % (1991)Termination phase: Saturation
% 2.09/1.77
% 2.09/1.77 % (1991)Memory used [KB]: 6140
% 2.09/1.77 % (1991)Time elapsed: 0.024 s
% 2.09/1.77 % (1991)Instructions burned: 86 (million)
% 2.09/1.77 % (1991)------------------------------
% 2.09/1.77 % (1991)------------------------------
% 2.09/1.77 % (1994)Instruction limit reached!
% 2.09/1.77 % (1994)------------------------------
% 2.09/1.77 % (1994)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.77 % (1994)Termination reason: Unknown
% 2.09/1.77 % (1994)Termination phase: shuffling
% 2.09/1.77
% 2.09/1.77 % (1994)Memory used [KB]: 1151
% 2.09/1.77 % (1994)Time elapsed: 0.004 s
% 2.09/1.77 % (1994)Instructions burned: 9 (million)
% 2.09/1.77 % (1994)------------------------------
% 2.09/1.77 % (1994)------------------------------
% 2.09/1.77 % (1995)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_1584 for (2996ds/150Mi)
% 2.09/1.77 % (1996)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_1584 for (2996ds/343Mi)
% 2.09/1.78 % (1993)Instruction limit reached!
% 2.09/1.78 % (1993)------------------------------
% 2.09/1.78 % (1993)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.78 % (1993)Termination reason: Unknown
% 2.09/1.78 % (1993)Termination phase: Saturation
% 2.09/1.78
% 2.09/1.78 % (1993)Memory used [KB]: 5884
% 2.09/1.78 % (1993)Time elapsed: 0.013 s
% 2.09/1.78 % (1993)Instructions burned: 44 (million)
% 2.09/1.78 % (1993)------------------------------
% 2.09/1.78 % (1993)------------------------------
% 2.09/1.78 % (1998)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_1584 for (2996ds/253Mi)
% 2.09/1.79 % (1997)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_1584 for (2996ds/109Mi)
% 2.09/1.79 % (1999)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_1584 for (2996ds/140Mi)
% 2.09/1.81 % (1996)Refutation not found, incomplete strategy
% 2.09/1.81 % (1996)------------------------------
% 2.09/1.81 % (1996)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.81 % (1996)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.81
% 2.09/1.81
% 2.09/1.81 % (1996)Memory used [KB]: 6268
% 2.09/1.81 % (1996)Time elapsed: 0.039 s
% 2.09/1.81 % (1996)Instructions burned: 157 (million)
% 2.09/1.81 % (1996)------------------------------
% 2.09/1.81 % (1996)------------------------------
% 2.09/1.81 % (1995)Instruction limit reached!
% 2.09/1.81 % (1995)------------------------------
% 2.09/1.81 % (1995)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.81 % (1995)Termination reason: Unknown
% 2.09/1.81 % (1995)Termination phase: Saturation
% 2.09/1.81
% 2.09/1.81 % (1995)Memory used [KB]: 6524
% 2.09/1.81 % (1995)Time elapsed: 0.042 s
% 2.09/1.81 % (1995)Instructions burned: 150 (million)
% 2.09/1.81 % (1995)------------------------------
% 2.09/1.81 % (1995)------------------------------
% 2.09/1.81 % (1998)Refutation not found, incomplete strategy
% 2.09/1.81 % (1998)------------------------------
% 2.09/1.81 % (1998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.81 % (1998)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.81
% 2.09/1.81
% 2.09/1.81 % (1998)Memory used [KB]: 6268
% 2.09/1.81 % (1998)Time elapsed: 0.035 s
% 2.09/1.81 % (1998)Instructions burned: 135 (million)
% 2.09/1.81 % (1998)------------------------------
% 2.09/1.81 % (1998)------------------------------
% 2.09/1.82 % (2000)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_1584 for (2995ds/614Mi)
% 2.09/1.82 % (2001)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_1584 for (2995ds/202Mi)
% 2.09/1.82 % (2002)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_1584 for (2995ds/339Mi)
% 2.09/1.83 % (1999)Instruction limit reached!
% 2.09/1.83 % (1999)------------------------------
% 2.09/1.83 % (1999)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.83 % (1999)Termination reason: Unknown
% 2.09/1.83 % (1999)Termination phase: Saturation
% 2.09/1.83
% 2.09/1.83 % (1999)Memory used [KB]: 6524
% 2.09/1.83 % (1999)Time elapsed: 0.039 s
% 2.09/1.83 % (1999)Instructions burned: 142 (million)
% 2.09/1.83 % (1999)------------------------------
% 2.09/1.83 % (1999)------------------------------
% 2.09/1.83 % (2001)Refutation not found, incomplete strategy
% 2.09/1.83 % (2001)------------------------------
% 2.09/1.83 % (2001)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.83 % (2001)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.83
% 2.09/1.83
% 2.09/1.83 % (2001)Memory used [KB]: 5884
% 2.09/1.83 % (2001)Time elapsed: 0.010 s
% 2.09/1.83 % (2001)Instructions burned: 31 (million)
% 2.09/1.83 % (2001)------------------------------
% 2.09/1.83 % (2001)------------------------------
% 2.09/1.84 % (2003)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_1584 for (2995ds/283Mi)
% 2.09/1.84 % (1997)Instruction limit reached!
% 2.09/1.84 % (1997)------------------------------
% 2.09/1.84 % (1997)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.84 % (1997)Termination reason: Unknown
% 2.09/1.84 % (1997)Termination phase: Saturation
% 2.09/1.84
% 2.09/1.84 % (1997)Memory used [KB]: 6140
% 2.09/1.84 % (1997)Time elapsed: 0.052 s
% 2.09/1.84 % (1997)Instructions burned: 109 (million)
% 2.09/1.84 % (1997)------------------------------
% 2.09/1.84 % (1997)------------------------------
% 2.09/1.84 % (1985)Instruction limit reached!
% 2.09/1.84 % (1985)------------------------------
% 2.09/1.84 % (1985)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.84 % (1985)Termination reason: Unknown
% 2.09/1.84 % (1985)Termination phase: Saturation
% 2.09/1.84
% 2.09/1.84 % (1985)Memory used [KB]: 2430
% 2.09/1.84 % (1985)Time elapsed: 0.128 s
% 2.09/1.84 % (1985)Instructions burned: 432 (million)
% 2.09/1.84 % (1985)------------------------------
% 2.09/1.84 % (1985)------------------------------
% 2.09/1.84 % (2004)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_1584 for (2995ds/134Mi)
% 2.09/1.85 % (2006)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_1584 for (2995ds/192Mi)
% 2.09/1.85 % (2005)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_1584 for (2995ds/298Mi)
% 2.09/1.86 % (1989)Instruction limit reached!
% 2.09/1.86 % (1989)------------------------------
% 2.09/1.86 % (1989)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.86 % (1989)Termination reason: Unknown
% 2.09/1.86 % (1989)Termination phase: Saturation
% 2.09/1.86
% 2.09/1.86 % (1989)Memory used [KB]: 6780
% 2.09/1.86 % (1989)Time elapsed: 0.123 s
% 2.09/1.86 % (1989)Instructions burned: 455 (million)
% 2.09/1.86 % (1989)------------------------------
% 2.09/1.86 % (1989)------------------------------
% 2.09/1.87 % (2002)Refutation not found, incomplete strategy
% 2.09/1.87 % (2002)------------------------------
% 2.09/1.87 % (2002)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.87 % (2002)Termination reason: Refutation not found, incomplete strategy
% 2.09/1.87
% 2.09/1.87
% 2.09/1.87 % (2002)Memory used [KB]: 6524
% 2.09/1.87 % (2002)Time elapsed: 0.045 s
% 2.09/1.87 % (2002)Instructions burned: 180 (million)
% 2.09/1.87 % (2002)------------------------------
% 2.09/1.87 % (2002)------------------------------
% 2.09/1.87 % (2007)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_1584 for (2995ds/258Mi)
% 2.09/1.88 % (2004)Instruction limit reached!
% 2.09/1.88 % (2004)------------------------------
% 2.09/1.88 % (2004)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.88 % (2004)Termination reason: Unknown
% 2.09/1.88 % (2004)Termination phase: Saturation
% 2.09/1.88
% 2.09/1.88 % (2004)Memory used [KB]: 6524
% 2.09/1.88 % (2004)Time elapsed: 0.037 s
% 2.09/1.88 % (2004)Instructions burned: 134 (million)
% 2.09/1.88 % (2004)------------------------------
% 2.09/1.88 % (2004)------------------------------
% 2.09/1.88 % (2008)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_1584 for (2995ds/90Mi)
% 2.09/1.89 % (2009)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_1584 for (2995ds/231Mi)
% 2.09/1.89 % (2006)Instruction limit reached!
% 2.09/1.89 % (2006)------------------------------
% 2.09/1.89 % (2006)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.89 % (2006)Termination reason: Unknown
% 2.09/1.89 % (2006)Termination phase: Saturation
% 2.09/1.89
% 2.09/1.89 % (2006)Memory used [KB]: 6652
% 2.09/1.89 % (2006)Time elapsed: 0.047 s
% 2.09/1.89 % (2006)Instructions burned: 196 (million)
% 2.09/1.89 % (2006)------------------------------
% 2.09/1.89 % (2006)------------------------------
% 2.09/1.90 % (2008)Instruction limit reached!
% 2.09/1.90 % (2008)------------------------------
% 2.09/1.90 % (2008)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.90 % (2008)Termination reason: Unknown
% 2.09/1.90 % (2008)Termination phase: Saturation
% 2.09/1.90
% 2.09/1.90 % (2008)Memory used [KB]: 6396
% 2.09/1.90 % (2008)Time elapsed: 0.025 s
% 2.09/1.90 % (2008)Instructions burned: 91 (million)
% 2.09/1.90 % (2008)------------------------------
% 2.09/1.90 % (2008)------------------------------
% 2.09/1.90 % (2010)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_1584 for (2995ds/458Mi)
% 2.09/1.91 % (2011)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_1584 for (2995ds/31Mi)
% 2.09/1.92 % (2003)Instruction limit reached!
% 2.09/1.92 % (2003)------------------------------
% 2.09/1.92 % (2003)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.92 % (2003)Termination reason: Unknown
% 2.09/1.92 % (2003)Termination phase: Saturation
% 2.09/1.92
% 2.09/1.92 % (2003)Memory used [KB]: 6652
% 2.09/1.92 % (2003)Time elapsed: 0.084 s
% 2.09/1.92 % (2003)Instructions burned: 284 (million)
% 2.09/1.92 % (2003)------------------------------
% 2.09/1.92 % (2003)------------------------------
% 2.09/1.92 % (2011)Instruction limit reached!
% 2.09/1.92 % (2011)------------------------------
% 2.09/1.92 % (2011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.92 % (2011)Termination reason: Unknown
% 2.09/1.92 % (2011)Termination phase: Property scanning
% 2.09/1.92
% 2.09/1.92 % (2011)Memory used [KB]: 1279
% 2.09/1.92 % (2011)Time elapsed: 0.009 s
% 2.09/1.92 % (2011)Instructions burned: 31 (million)
% 2.09/1.92 % (2011)------------------------------
% 2.09/1.92 % (2011)------------------------------
% 2.09/1.93 % (2012)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_1584 for (2994ds/297Mi)
% 2.09/1.93 % (2013)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_1584 for (2994ds/987Mi)
% 2.09/1.93 % (2007)Instruction limit reached!
% 2.09/1.93 % (2007)------------------------------
% 2.09/1.93 % (2007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.93 % (2007)Termination reason: Unknown
% 2.09/1.93 % (2007)Termination phase: Saturation
% 2.09/1.93
% 2.09/1.93 % (2007)Memory used [KB]: 6652
% 2.09/1.93 % (2007)Time elapsed: 0.063 s
% 2.09/1.93 % (2007)Instructions burned: 260 (million)
% 2.09/1.93 % (2007)------------------------------
% 2.09/1.93 % (2007)------------------------------
% 2.09/1.94 % (2005)Instruction limit reached!
% 2.09/1.94 % (2005)------------------------------
% 2.09/1.94 % (2005)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.94 % (2005)Termination reason: Unknown
% 2.09/1.94 % (2005)Termination phase: Saturation
% 2.09/1.94
% 2.09/1.94 % (2005)Memory used [KB]: 6908
% 2.09/1.94 % (2005)Time elapsed: 0.087 s
% 2.09/1.94 % (2005)Instructions burned: 298 (million)
% 2.09/1.94 % (2005)------------------------------
% 2.09/1.94 % (2005)------------------------------
% 2.09/1.94 % (2014)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_1584 for (2994ds/182Mi)
% 2.09/1.95 % (2015)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_1584 for (2994ds/182Mi)
% 2.09/1.96 % (2009)Instruction limit reached!
% 2.09/1.96 % (2009)------------------------------
% 2.09/1.96 % (2009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.96 % (2009)Termination reason: Unknown
% 2.09/1.96 % (2009)Termination phase: Saturation
% 2.09/1.96
% 2.09/1.96 % (2009)Memory used [KB]: 6652
% 2.09/1.96 % (2009)Time elapsed: 0.073 s
% 2.09/1.96 % (2009)Instructions burned: 233 (million)
% 2.09/1.96 % (2009)------------------------------
% 2.09/1.96 % (2009)------------------------------
% 2.09/1.97 % (2000)Instruction limit reached!
% 2.09/1.97 % (2000)------------------------------
% 2.09/1.97 % (2000)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.97 % (2000)Termination reason: Unknown
% 2.09/1.97 % (2000)Termination phase: Saturation
% 2.09/1.97
% 2.09/1.97 % (2000)Memory used [KB]: 8059
% 2.09/1.97 % (2000)Time elapsed: 0.146 s
% 2.09/1.97 % (2000)Instructions burned: 615 (million)
% 2.09/1.97 % (2000)------------------------------
% 2.09/1.97 % (2000)------------------------------
% 2.09/1.97 % (2016)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_1584 for (2994ds/154Mi)
% 2.09/1.98 % (2017)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_1584 for (2994ds/79Mi)
% 2.09/1.99 % (2014)Instruction limit reached!
% 2.09/1.99 % (2014)------------------------------
% 2.09/1.99 % (2014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/1.99 % (2014)Termination reason: Unknown
% 2.09/1.99 % (2014)Termination phase: Saturation
% 2.09/1.99
% 2.09/1.99 % (2014)Memory used [KB]: 6524
% 2.09/1.99 % (2014)Time elapsed: 0.046 s
% 2.09/1.99 % (2014)Instructions burned: 185 (million)
% 2.09/1.99 % (2014)------------------------------
% 2.09/1.99 % (2014)------------------------------
% 2.09/2.00 % (2017)Instruction limit reached!
% 2.09/2.00 % (2017)------------------------------
% 2.09/2.00 % (2017)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/2.00 % (2017)Termination reason: Unknown
% 2.09/2.00 % (2017)Termination phase: Saturation
% 2.09/2.00
% 2.09/2.00 % (2017)Memory used [KB]: 6268
% 2.09/2.00 % (2017)Time elapsed: 0.021 s
% 2.09/2.00 % (2017)Instructions burned: 82 (million)
% 2.09/2.00 % (2017)------------------------------
% 2.09/2.00 % (2017)------------------------------
% 2.09/2.00 % (2018)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_1584 for (2994ds/216Mi)
% 2.09/2.00 % (2012)Instruction limit reached!
% 2.09/2.00 % (2012)------------------------------
% 2.09/2.00 % (2012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/2.00 % (2012)Termination reason: Unknown
% 2.09/2.00 % (2012)Termination phase: Saturation
% 2.09/2.00
% 2.09/2.00 % (2012)Memory used [KB]: 6524
% 2.09/2.00 % (2012)Time elapsed: 0.076 s
% 2.09/2.00 % (2012)Instructions burned: 299 (million)
% 2.09/2.00 % (2012)------------------------------
% 2.09/2.00 % (2012)------------------------------
% 2.09/2.00 % (2019)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_1584 for (2994ds/114Mi)
% 2.09/2.01 % (2015)Instruction limit reached!
% 2.09/2.01 % (2015)------------------------------
% 2.09/2.01 % (2015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/2.01 % (2015)Termination reason: Unknown
% 2.09/2.01 % (2015)Termination phase: Saturation
% 2.09/2.01
% 2.09/2.01 % (2015)Memory used [KB]: 6140
% 2.09/2.01 % (2015)Time elapsed: 0.059 s
% 2.09/2.01 % (2015)Instructions burned: 183 (million)
% 2.09/2.01 % (2015)------------------------------
% 2.09/2.01 % (2015)------------------------------
% 2.09/2.01 % (2016)Instruction limit reached!
% 2.09/2.01 % (2016)------------------------------
% 2.09/2.01 % (2016)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.09/2.01 % (2016)Termination reason: Unknown
% 2.09/2.01 % (2016)Termination phase: Saturation
% 2.09/2.01
% 2.09/2.01 % (2016)Memory used [KB]: 6524
% 2.09/2.01 % (2016)Time elapsed: 0.043 s
% 2.09/2.01 % (2016)Instructions burned: 155 (million)
% 2.09/2.01 % (2016)------------------------------
% 2.09/2.01 % (2016)------------------------------
% 6.27/2.01 % (2020)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_1584 for (2994ds/922Mi)
% 6.27/2.01 % (2010)Instruction limit reached!
% 6.27/2.01 % (2010)------------------------------
% 6.27/2.01 % (2010)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.01 % (2010)Termination reason: Unknown
% 6.27/2.01 % (2010)Termination phase: Saturation
% 6.27/2.01
% 6.27/2.01 % (2010)Memory used [KB]: 7036
% 6.27/2.01 % (2010)Time elapsed: 0.111 s
% 6.27/2.01 % (2010)Instructions burned: 458 (million)
% 6.27/2.01 % (2010)------------------------------
% 6.27/2.01 % (2010)------------------------------
% 6.27/2.02 % (2021)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_1584 for (2993ds/182Mi)
% 6.27/2.02 % (2023)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_1584 for (2993ds/50Mi)
% 6.27/2.03 % (2022)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_1584 for (2993ds/164Mi)
% 6.27/2.03 % (2019)Instruction limit reached!
% 6.27/2.03 % (2019)------------------------------
% 6.27/2.03 % (2019)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.03 % (2019)Termination reason: Unknown
% 6.27/2.03 % (2019)Termination phase: Saturation
% 6.27/2.03
% 6.27/2.03 % (2019)Memory used [KB]: 6140
% 6.27/2.03 % (2019)Time elapsed: 0.028 s
% 6.27/2.03 % (2019)Instructions burned: 114 (million)
% 6.27/2.03 % (2019)------------------------------
% 6.27/2.03 % (2019)------------------------------
% 6.27/2.04 % (2023)Instruction limit reached!
% 6.27/2.04 % (2023)------------------------------
% 6.27/2.04 % (2023)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.04 % (2023)Termination reason: Unknown
% 6.27/2.04 % (2023)Termination phase: Saturation
% 6.27/2.04
% 6.27/2.04 % (2023)Memory used [KB]: 10362
% 6.27/2.04 % (2023)Time elapsed: 0.014 s
% 6.27/2.04 % (2023)Instructions burned: 53 (million)
% 6.27/2.04 % (2023)------------------------------
% 6.27/2.04 % (2023)------------------------------
% 6.27/2.04 % (2024)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_1584 for (2993ds/368Mi)
% 6.27/2.05 % (2025)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_1584 for (2993ds/1021Mi)
% 6.27/2.05 % (2018)Instruction limit reached!
% 6.27/2.05 % (2018)------------------------------
% 6.27/2.05 % (2018)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.05 % (2018)Termination reason: Unknown
% 6.27/2.05 % (2018)Termination phase: Saturation
% 6.27/2.05
% 6.27/2.05 % (2018)Memory used [KB]: 6524
% 6.27/2.05 % (2018)Time elapsed: 0.055 s
% 6.27/2.05 % (2018)Instructions burned: 219 (million)
% 6.27/2.05 % (2018)------------------------------
% 6.27/2.05 % (2018)------------------------------
% 6.27/2.06 % (2020)Refutation not found, incomplete strategy
% 6.27/2.06 % (2020)------------------------------
% 6.27/2.06 % (2020)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.06 % (2020)Termination reason: Refutation not found, incomplete strategy
% 6.27/2.06
% 6.27/2.06
% 6.27/2.06 % (2020)Memory used [KB]: 7419
% 6.27/2.06 % (2020)Time elapsed: 0.043 s
% 6.27/2.06 % (2020)Instructions burned: 167 (million)
% 6.27/2.06 % (2020)------------------------------
% 6.27/2.06 % (2020)------------------------------
% 6.27/2.06 % (2026)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_1584 for (2993ds/267Mi)
% 6.27/2.06 % (2027)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_1584 for (2993ds/204Mi)
% 6.27/2.07 % (2021)Instruction limit reached!
% 6.27/2.07 % (2021)------------------------------
% 6.27/2.07 % (2021)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.07 % (2021)Termination reason: Unknown
% 6.27/2.07 % (2021)Termination phase: Saturation
% 6.27/2.07
% 6.27/2.07 % (2021)Memory used [KB]: 6524
% 6.27/2.07 % (2021)Time elapsed: 0.052 s
% 6.27/2.07 % (2021)Instructions burned: 183 (million)
% 6.27/2.07 % (2021)------------------------------
% 6.27/2.07 % (2021)------------------------------
% 6.27/2.07 % (2022)Instruction limit reached!
% 6.27/2.07 % (2022)------------------------------
% 6.27/2.07 % (2022)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.07 % (2022)Termination reason: Unknown
% 6.27/2.07 % (2022)Termination phase: Saturation
% 6.27/2.07
% 6.27/2.07 % (2022)Memory used [KB]: 2046
% 6.27/2.07 % (2022)Time elapsed: 0.047 s
% 6.27/2.07 % (2022)Instructions burned: 165 (million)
% 6.27/2.07 % (2022)------------------------------
% 6.27/2.07 % (2022)------------------------------
% 6.27/2.08 % (2028)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_1584 for (2993ds/26Mi)
% 6.27/2.08 % (2029)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_1584 for (2993ds/53Mi)
% 6.27/2.09 % (2028)Instruction limit reached!
% 6.27/2.09 % (2028)------------------------------
% 6.27/2.09 % (2028)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.09 % (2028)Termination reason: Unknown
% 6.27/2.09 % (2028)Termination phase: Saturation
% 6.27/2.09
% 6.27/2.09 % (2028)Memory used [KB]: 5884
% 6.27/2.09 % (2028)Time elapsed: 0.009 s
% 6.27/2.09 % (2028)Instructions burned: 26 (million)
% 6.27/2.09 % (2028)------------------------------
% 6.27/2.09 % (2028)------------------------------
% 6.27/2.10 % (2030)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_1584 for (2993ds/4436Mi)
% 6.27/2.10 % (2029)Instruction limit reached!
% 6.27/2.10 % (2029)------------------------------
% 6.27/2.10 % (2029)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.10 % (2029)Termination reason: Unknown
% 6.27/2.10 % (2029)Termination phase: Saturation
% 6.27/2.10
% 6.27/2.10 % (2029)Memory used [KB]: 6012
% 6.27/2.10 % (2029)Time elapsed: 0.015 s
% 6.27/2.10 % (2029)Instructions burned: 55 (million)
% 6.27/2.10 % (2029)------------------------------
% 6.27/2.10 % (2029)------------------------------
% 6.27/2.10 % (2031)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_1584 for (2993ds/1539Mi)
% 6.27/2.10 % (2027)Refutation not found, incomplete strategy
% 6.27/2.10 % (2027)------------------------------
% 6.27/2.10 % (2027)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.27/2.10 % (2027)Termination reason: Refutation not found, incomplete strategy
% 6.27/2.10
% 6.27/2.10
% 6.27/2.10 % (2027)Memory used [KB]: 6524
% 6.27/2.10 % (2027)Time elapsed: 0.040 s
% 6.27/2.10 % (2027)Instructions burned: 158 (million)
% 6.27/2.10 % (2027)------------------------------
% 6.27/2.10 % (2027)------------------------------
% 6.75/2.11 % (2032)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_1584 for (2993ds/408Mi)
% 6.75/2.12 % (2030)Refutation not found, incomplete strategy
% 6.75/2.12 % (2030)------------------------------
% 6.75/2.12 % (2030)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.12 % (2030)Termination reason: Refutation not found, incomplete strategy
% 6.75/2.12
% 6.75/2.12
% 6.75/2.12 % (2030)Memory used [KB]: 6140
% 6.75/2.12 % (2030)Time elapsed: 0.022 s
% 6.75/2.12 % (2030)Instructions burned: 75 (million)
% 6.75/2.12 % (2030)------------------------------
% 6.75/2.12 % (2030)------------------------------
% 6.75/2.13 % (2033)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_1584 for (2992ds/5205Mi)
% 6.75/2.13 % (2024)Instruction limit reached!
% 6.75/2.13 % (2024)------------------------------
% 6.75/2.13 % (2024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.13 % (2024)Termination reason: Unknown
% 6.75/2.13 % (2024)Termination phase: Saturation
% 6.75/2.13
% 6.75/2.13 % (2024)Memory used [KB]: 7036
% 6.75/2.13 % (2024)Time elapsed: 0.087 s
% 6.75/2.13 % (2024)Instructions burned: 369 (million)
% 6.75/2.13 % (2024)------------------------------
% 6.75/2.13 % (2024)------------------------------
% 6.75/2.13 % (2026)Instruction limit reached!
% 6.75/2.13 % (2026)------------------------------
% 6.75/2.13 % (2026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.13 % (2026)Termination reason: Unknown
% 6.75/2.13 % (2026)Termination phase: Saturation
% 6.75/2.13
% 6.75/2.13 % (2026)Memory used [KB]: 6652
% 6.75/2.13 % (2026)Time elapsed: 0.073 s
% 6.75/2.13 % (2026)Instructions burned: 267 (million)
% 6.75/2.13 % (2026)------------------------------
% 6.75/2.13 % (2026)------------------------------
% 6.75/2.14 % (2034)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_1584 for (2992ds/1913Mi)
% 6.75/2.14 % (2035)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_1584 for (2992ds/4350Mi)
% 6.75/2.17 % (2034)Refutation not found, incomplete strategy
% 6.75/2.17 % (2034)------------------------------
% 6.75/2.17 % (2034)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.75/2.17 % (2034)Termination reason: Refutation not found, incomplete strategy
% 6.75/2.17
% 6.75/2.17
% 6.75/2.17 % (2034)Memory used [KB]: 1791
% 6.75/2.17 % (2034)Time elapsed: 0.038 s
% 6.75/2.17 % (2034)Instructions burned: 154 (million)
% 6.75/2.17 % (2034)------------------------------
% 6.75/2.17 % (2034)------------------------------
% 6.75/2.18 % (2036)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_1584 for (2992ds/68Mi)
% 7.11/2.20 % (2036)Instruction limit reached!
% 7.11/2.20 % (2036)------------------------------
% 7.11/2.20 % (2036)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.20 % (2036)Termination reason: Unknown
% 7.11/2.20 % (2036)Termination phase: Saturation
% 7.11/2.20
% 7.11/2.20 % (2036)Memory used [KB]: 6140
% 7.11/2.20 % (2036)Time elapsed: 0.017 s
% 7.11/2.20 % (2036)Instructions burned: 68 (million)
% 7.11/2.20 % (2036)------------------------------
% 7.11/2.20 % (2036)------------------------------
% 7.11/2.21 % (2013)Instruction limit reached!
% 7.11/2.21 % (2013)------------------------------
% 7.11/2.21 % (2013)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.21 % (2013)Termination reason: Unknown
% 7.11/2.21 % (2013)Termination phase: Saturation
% 7.11/2.21
% 7.11/2.21 % (2013)Memory used [KB]: 7547
% 7.11/2.21 % (2013)Time elapsed: 0.280 s
% 7.11/2.21 % (2013)Instructions burned: 987 (million)
% 7.11/2.21 % (2013)------------------------------
% 7.11/2.21 % (2013)------------------------------
% 7.11/2.21 % (2032)Instruction limit reached!
% 7.11/2.21 % (2032)------------------------------
% 7.11/2.21 % (2032)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.21 % (2032)Termination reason: Unknown
% 7.11/2.21 % (2032)Termination phase: Saturation
% 7.11/2.21
% 7.11/2.21 % (2032)Memory used [KB]: 6012
% 7.11/2.21 % (2032)Time elapsed: 0.095 s
% 7.11/2.21 % (2032)Instructions burned: 411 (million)
% 7.11/2.21 % (2032)------------------------------
% 7.11/2.21 % (2032)------------------------------
% 7.11/2.21 % (2037)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_1584 for (2992ds/358Mi)
% 7.11/2.22 % (2038)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_1584 for (2992ds/31Mi)
% 7.11/2.22 % (2039)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_1584 for (2992ds/279Mi)
% 7.11/2.23 % (2038)Instruction limit reached!
% 7.11/2.23 % (2038)------------------------------
% 7.11/2.23 % (2038)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.23 % (2038)Termination reason: Unknown
% 7.11/2.23 % (2038)Termination phase: Property scanning
% 7.11/2.23
% 7.11/2.23 % (2038)Memory used [KB]: 1279
% 7.11/2.23 % (2038)Time elapsed: 0.009 s
% 7.11/2.23 % (2038)Instructions burned: 34 (million)
% 7.11/2.23 % (2038)------------------------------
% 7.11/2.23 % (2038)------------------------------
% 7.11/2.23 % (2040)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_1584 for (2991ds/258Mi)
% 7.11/2.25 % (2037)Refutation not found, incomplete strategy
% 7.11/2.25 % (2037)------------------------------
% 7.11/2.25 % (2037)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.25 % (2037)Termination reason: Refutation not found, incomplete strategy
% 7.11/2.25
% 7.11/2.25
% 7.11/2.25 % (2037)Memory used [KB]: 6524
% 7.11/2.25 % (2037)Time elapsed: 0.041 s
% 7.11/2.25 % (2037)Instructions burned: 162 (million)
% 7.11/2.25 % (2037)------------------------------
% 7.11/2.25 % (2037)------------------------------
% 7.11/2.26 % (2041)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_1584 for (2991ds/26Mi)
% 7.11/2.27 % (2041)Instruction limit reached!
% 7.11/2.27 % (2041)------------------------------
% 7.11/2.27 % (2041)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.27 % (2041)Termination reason: Unknown
% 7.11/2.27 % (2041)Termination phase: Saturation
% 7.11/2.27
% 7.11/2.27 % (2041)Memory used [KB]: 5884
% 7.11/2.27 % (2041)Time elapsed: 0.008 s
% 7.11/2.27 % (2041)Instructions burned: 27 (million)
% 7.11/2.27 % (2041)------------------------------
% 7.11/2.27 % (2041)------------------------------
% 7.11/2.28 % (2042)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_1584 for (2991ds/995Mi)
% 7.11/2.29 % (2039)Instruction limit reached!
% 7.11/2.29 % (2039)------------------------------
% 7.11/2.29 % (2039)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.29 % (2039)Termination reason: Unknown
% 7.11/2.29 % (2039)Termination phase: Saturation
% 7.11/2.29
% 7.11/2.29 % (2039)Memory used [KB]: 6524
% 7.11/2.29 % (2039)Time elapsed: 0.073 s
% 7.11/2.29 % (2039)Instructions burned: 280 (million)
% 7.11/2.29 % (2039)------------------------------
% 7.11/2.29 % (2039)------------------------------
% 7.11/2.29 % (2025)Instruction limit reached!
% 7.11/2.29 % (2025)------------------------------
% 7.11/2.29 % (2025)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/2.29 % (2025)Termination reason: Unknown
% 7.11/2.29 % (2025)Termination phase: Saturation
% 7.11/2.29
% 7.11/2.29 % (2025)Memory used [KB]: 8571
% 7.11/2.29 % (2025)Time elapsed: 0.250 s
% 7.11/2.29 % (2025)Instructions burned: 1025 (million)
% 7.11/2.29 % (2025)------------------------------
% 7.11/2.29 % (2025)------------------------------
% 7.67/2.30 % (2043)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_1584 for (2991ds/373Mi)
% 7.67/2.30 % (2044)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_1584 for (2991ds/253Mi)
% 7.67/2.31 % (2040)Instruction limit reached!
% 7.67/2.31 % (2040)------------------------------
% 7.67/2.31 % (2040)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.67/2.31 % (2040)Termination reason: Unknown
% 7.67/2.31 % (2040)Termination phase: Saturation
% 7.67/2.31
% 7.67/2.31 % (2040)Memory used [KB]: 6012
% 7.67/2.31 % (2040)Time elapsed: 0.072 s
% 7.67/2.31 % (2040)Instructions burned: 260 (million)
% 7.67/2.31 % (2040)------------------------------
% 7.67/2.31 % (2040)------------------------------
% 7.67/2.31 % (2045)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_1584 for (2991ds/832Mi)
% 7.67/2.32 % (2045)Refutation not found, incomplete strategy
% 7.67/2.32 % (2045)------------------------------
% 7.67/2.32 % (2045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.67/2.32 % (2045)Termination reason: Refutation not found, incomplete strategy
% 7.67/2.32
% 7.67/2.32
% 7.67/2.32 % (2045)Memory used [KB]: 5884
% 7.67/2.32 % (2045)Time elapsed: 0.009 s
% 7.67/2.32 % (2045)Instructions burned: 33 (million)
% 7.67/2.32 % (2045)------------------------------
% 7.67/2.32 % (2045)------------------------------
% 7.67/2.33 % (2046)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_1584 for (2990ds/668Mi)
% 7.67/2.37 % (2044)Instruction limit reached!
% 7.67/2.37 % (2044)------------------------------
% 7.67/2.37 % (2044)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.67/2.37 % (2044)Termination reason: Unknown
% 7.67/2.37 % (2044)Termination phase: Saturation
% 7.67/2.37
% 7.67/2.37 % (2044)Memory used [KB]: 6780
% 7.67/2.37 % (2044)Time elapsed: 0.068 s
% 7.67/2.37 % (2044)Instructions burned: 255 (million)
% 7.67/2.37 % (2044)------------------------------
% 7.67/2.37 % (2044)------------------------------
% 7.67/2.38 % (2047)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_1584 for (2990ds/40Mi)
% 7.67/2.39 % (2043)Instruction limit reached!
% 7.67/2.39 % (2043)------------------------------
% 7.67/2.39 % (2043)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.67/2.39 % (2043)Termination reason: Unknown
% 7.67/2.39 % (2043)Termination phase: Saturation
% 7.67/2.39
% 7.67/2.39 % (2043)Memory used [KB]: 7675
% 7.67/2.39 % (2043)Time elapsed: 0.089 s
% 7.67/2.39 % (2043)Instructions burned: 374 (million)
% 7.67/2.39 % (2043)------------------------------
% 7.67/2.39 % (2043)------------------------------
% 7.67/2.39 % (2047)Instruction limit reached!
% 7.67/2.39 % (2047)------------------------------
% 7.67/2.39 % (2047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.67/2.39 % (2047)Termination reason: Unknown
% 7.67/2.39 % (2047)Termination phase: Saturation
% 7.67/2.39
% 7.67/2.39 % (2047)Memory used [KB]: 5884
% 7.67/2.39 % (2047)Time elapsed: 0.011 s
% 7.67/2.39 % (2047)Instructions burned: 41 (million)
% 7.67/2.39 % (2047)------------------------------
% 7.67/2.39 % (2047)------------------------------
% 7.97/2.40 % (2048)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_1584 for (2990ds/294Mi)
% 7.97/2.40 % (2049)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_1584 for (2990ds/187Mi)
% 7.97/2.44 % (2049)Instruction limit reached!
% 7.97/2.44 % (2049)------------------------------
% 7.97/2.44 % (2049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.44 % (2049)Termination reason: Unknown
% 7.97/2.44 % (2049)Termination phase: Saturation
% 7.97/2.44
% 7.97/2.44 % (2049)Memory used [KB]: 6524
% 7.97/2.44 % (2049)Time elapsed: 0.045 s
% 7.97/2.44 % (2049)Instructions burned: 188 (million)
% 7.97/2.44 % (2049)------------------------------
% 7.97/2.44 % (2049)------------------------------
% 7.97/2.45 % (2050)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_1584 for (2989ds/371Mi)
% 7.97/2.47 % (2048)Instruction limit reached!
% 7.97/2.47 % (2048)------------------------------
% 7.97/2.47 % (2048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.47 % (2048)Termination reason: Unknown
% 7.97/2.47 % (2048)Termination phase: Saturation
% 7.97/2.47
% 7.97/2.47 % (2048)Memory used [KB]: 6652
% 7.97/2.47 % (2048)Time elapsed: 0.096 s
% 7.97/2.47 % (2048)Instructions burned: 296 (million)
% 7.97/2.47 % (2048)------------------------------
% 7.97/2.47 % (2048)------------------------------
% 7.97/2.48 % (2051)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_1584 for (2989ds/1827Mi)
% 7.97/2.49 % (2031)Instruction limit reached!
% 7.97/2.49 % (2031)------------------------------
% 7.97/2.49 % (2031)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.49 % (2031)Termination reason: Unknown
% 7.97/2.49 % (2031)Termination phase: Saturation
% 7.97/2.49
% 7.97/2.49 % (2031)Memory used [KB]: 9338
% 7.97/2.49 % (2031)Time elapsed: 0.386 s
% 7.97/2.49 % (2031)Instructions burned: 1540 (million)
% 7.97/2.49 % (2031)------------------------------
% 7.97/2.49 % (2031)------------------------------
% 7.97/2.49 % (2050)Refutation not found, incomplete strategy
% 7.97/2.49 % (2050)------------------------------
% 7.97/2.49 % (2050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.97/2.49 % (2050)Termination reason: Refutation not found, incomplete strategy
% 7.97/2.49
% 7.97/2.49
% 7.97/2.49 % (2050)Memory used [KB]: 6524
% 7.97/2.49 % (2050)Time elapsed: 0.063 s
% 7.97/2.49 % (2050)Instructions burned: 155 (million)
% 7.97/2.49 % (2050)------------------------------
% 7.97/2.49 % (2050)------------------------------
% 8.54/2.50 % (2052)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_1584 for (2989ds/70Mi)
% 8.54/2.50 % (2053)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_1584 for (2989ds/316Mi)
% 8.54/2.52 % (2052)Instruction limit reached!
% 8.54/2.52 % (2052)------------------------------
% 8.54/2.52 % (2052)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.52 % (2052)Termination reason: Unknown
% 8.54/2.52 % (2052)Termination phase: Saturation
% 8.54/2.52
% 8.54/2.52 % (2052)Memory used [KB]: 1663
% 8.54/2.52 % (2052)Time elapsed: 0.019 s
% 8.54/2.52 % (2052)Instructions burned: 72 (million)
% 8.54/2.52 % (2052)------------------------------
% 8.54/2.52 % (2052)------------------------------
% 8.54/2.52 % (2046)Instruction limit reached!
% 8.54/2.52 % (2046)------------------------------
% 8.54/2.52 % (2046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.52 % (2046)Termination reason: Unknown
% 8.54/2.52 % (2046)Termination phase: Saturation
% 8.54/2.52
% 8.54/2.52 % (2046)Memory used [KB]: 12281
% 8.54/2.52 % (2046)Time elapsed: 0.189 s
% 8.54/2.52 % (2046)Instructions burned: 669 (million)
% 8.54/2.52 % (2046)------------------------------
% 8.54/2.52 % (2046)------------------------------
% 8.54/2.53 % (2054)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_1584 for (2988ds/932Mi)
% 8.54/2.54 % (2055)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_1584 for (2988ds/4714Mi)
% 8.54/2.54 % (2042)Refutation not found, non-redundant clauses discarded% (2042)------------------------------
% 8.54/2.54 % (2042)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.54 % (2042)Termination reason: Refutation not found, non-redundant clauses discarded
% 8.54/2.54
% 8.54/2.54 % (2042)Memory used [KB]: 7547
% 8.54/2.54 % (2042)Time elapsed: 0.264 s
% 8.54/2.54 % (2042)Instructions burned: 960 (million)
% 8.54/2.54 % (2042)------------------------------
% 8.54/2.54 % (2042)------------------------------
% 8.54/2.55 % (2056)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_1584 for (2988ds/8250Mi)
% 8.54/2.58 % (2053)Instruction limit reached!
% 8.54/2.58 % (2053)------------------------------
% 8.54/2.58 % (2053)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.54/2.58 % (2053)Termination reason: Unknown
% 8.54/2.58 % (2053)Termination phase: Saturation
% 8.54/2.58
% 8.54/2.58 % (2053)Memory used [KB]: 6780
% 8.54/2.58 % (2053)Time elapsed: 0.082 s
% 8.54/2.58 % (2053)Instructions burned: 318 (million)
% 8.54/2.58 % (2053)------------------------------
% 8.54/2.58 % (2053)------------------------------
% 8.54/2.59 % (2057)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_1584 for (2988ds/770Mi)
% 9.14/2.68 % (2057)Refutation not found, incomplete strategy
% 9.14/2.68 % (2057)------------------------------
% 9.14/2.68 % (2057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.14/2.68 % (2057)Termination reason: Refutation not found, incomplete strategy
% 9.14/2.68
% 9.14/2.68
% 9.14/2.68 % (2057)Memory used [KB]: 6268
% 9.14/2.68 % (2057)Time elapsed: 0.089 s
% 9.14/2.68 % (2057)Instructions burned: 379 (million)
% 9.14/2.68 % (2057)------------------------------
% 9.14/2.68 % (2057)------------------------------
% 9.14/2.69 % (2058)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_1584 for (2987ds/794Mi)
% 9.24/2.78 % (2054)Instruction limit reached!
% 9.24/2.78 % (2054)------------------------------
% 9.24/2.78 % (2054)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.24/2.78 % (2054)Termination reason: Unknown
% 9.24/2.78 % (2054)Termination phase: Saturation
% 9.24/2.78
% 9.24/2.78 % (2054)Memory used [KB]: 7931
% 9.24/2.78 % (2054)Time elapsed: 0.258 s
% 9.24/2.78 % (2054)Instructions burned: 934 (million)
% 9.24/2.78 % (2054)------------------------------
% 9.24/2.78 % (2054)------------------------------
% 9.24/2.79 % (2059)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_1584 for (2986ds/464Mi)
% 9.51/2.89 % (2058)Instruction limit reached!
% 9.51/2.89 % (2058)------------------------------
% 9.51/2.89 % (2058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.51/2.89 % (2058)Termination reason: Unknown
% 9.51/2.89 % (2058)Termination phase: Saturation
% 9.51/2.89
% 9.51/2.89 % (2058)Memory used [KB]: 2430
% 9.51/2.89 % (2058)Time elapsed: 0.202 s
% 9.51/2.89 % (2058)Instructions burned: 796 (million)
% 9.51/2.89 % (2058)------------------------------
% 9.51/2.89 % (2058)------------------------------
% 9.73/2.90 % (2060)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_1584 for (2985ds/1376Mi)
% 9.73/2.90 % (2059)Instruction limit reached!
% 9.73/2.90 % (2059)------------------------------
% 9.73/2.90 % (2059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.73/2.90 % (2059)Termination reason: Unknown
% 9.73/2.90 % (2059)Termination phase: Saturation
% 9.73/2.90
% 9.73/2.90 % (2059)Memory used [KB]: 7931
% 9.73/2.90 % (2059)Time elapsed: 0.110 s
% 9.73/2.90 % (2059)Instructions burned: 467 (million)
% 9.73/2.90 % (2059)------------------------------
% 9.73/2.90 % (2059)------------------------------
% 9.73/2.91 % (2061)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_1584 for (2985ds/906Mi)
% 13.26/3.01 % (2051)Instruction limit reached!
% 13.26/3.01 % (2051)------------------------------
% 13.26/3.01 % (2051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.26/3.01 % (2051)Termination reason: Unknown
% 13.26/3.01 % (2051)Termination phase: Saturation
% 13.26/3.01
% 13.26/3.01 % (2051)Memory used [KB]: 7931
% 13.26/3.01 % (2051)Time elapsed: 0.558 s
% 13.26/3.01 % (2051)Instructions burned: 1830 (million)
% 13.26/3.01 % (2051)------------------------------
% 13.26/3.01 % (2051)------------------------------
% 13.26/3.02 % (2062)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_1584 for (2984ds/434Mi)
% 13.26/3.04 % (2055)First to succeed.
% 13.90/3.12 % (2062)Instruction limit reached!
% 13.90/3.12 % (2062)------------------------------
% 13.90/3.12 % (2062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.90/3.12 % (2062)Termination reason: Unknown
% 13.90/3.12 % (2062)Termination phase: Saturation
% 13.90/3.12
% 13.90/3.12 % (2062)Memory used [KB]: 5884
% 13.90/3.12 % (2062)Time elapsed: 0.102 s
% 13.90/3.12 % (2062)Instructions burned: 434 (million)
% 13.90/3.12 % (2062)------------------------------
% 13.90/3.12 % (2062)------------------------------
% 13.90/3.13 % (2061)Instruction limit reached!
% 13.90/3.13 % (2061)------------------------------
% 13.90/3.13 % (2061)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.90/3.13 % (2061)Termination reason: Unknown
% 13.90/3.13 % (2061)Termination phase: Saturation
% 13.90/3.13
% 13.90/3.13 % (2061)Memory used [KB]: 8699
% 13.90/3.13 % (2061)Time elapsed: 0.216 s
% 13.90/3.13 % (2061)Instructions burned: 909 (million)
% 13.90/3.13 % (2061)------------------------------
% 13.90/3.13 % (2061)------------------------------
% 13.90/3.13 % (2055)Refutation found. Thanks to Tanya!
% 13.90/3.13 % SZS status Theorem for DTF2THF_1584
% 13.90/3.13 % SZS output start Proof for DTF2THF_1584
% 13.90/3.13 thf(type_def_5, type, mworld: $tType).
% 13.90/3.13 thf(func_def_0, type, mworld: $tType).
% 13.90/3.13 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 13.90/3.13 thf(func_def_2, type, mactual: mworld).
% 13.90/3.13 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 13.90/3.13 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 13.90/3.13 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 13.90/3.13 thf(func_def_15, type, chevy: $i > mworld > $o).
% 13.90/3.13 thf(func_def_16, type, dirty: $i > mworld > $o).
% 13.90/3.13 thf(func_def_17, type, barrel: $i > $i > mworld > $o).
% 13.90/3.13 thf(func_def_18, type, hollywood: $i > mworld > $o).
% 13.90/3.13 thf(func_def_19, type, city: $i > mworld > $o).
% 13.90/3.13 thf(func_def_20, type, in: $i > $i > mworld > $o).
% 13.90/3.13 thf(func_def_21, type, young: $i > mworld > $o).
% 13.90/3.13 thf(func_def_22, type, old: $i > mworld > $o).
% 13.90/3.13 thf(func_def_23, type, down: $i > $i > mworld > $o).
% 13.90/3.13 thf(func_def_24, type, way: $i > mworld > $o).
% 13.90/3.13 thf(func_def_25, type, qmltpeq: $i > $i > mworld > $o).
% 13.90/3.13 thf(func_def_26, type, seat: $i > mworld > $o).
% 13.90/3.13 thf(func_def_27, type, white: $i > mworld > $o).
% 13.90/3.13 thf(func_def_28, type, car: $i > mworld > $o).
% 13.90/3.13 thf(func_def_29, type, furniture: $i > mworld > $o).
% 13.90/3.13 thf(func_def_30, type, street: $i > mworld > $o).
% 13.90/3.13 thf(func_def_31, type, fellow: $i > mworld > $o).
% 13.90/3.13 thf(func_def_32, type, front: $i > mworld > $o).
% 13.90/3.13 thf(func_def_33, type, man: $i > mworld > $o).
% 13.90/3.13 thf(func_def_34, type, event: $i > mworld > $o).
% 13.90/3.13 thf(func_def_35, type, lonely: $i > mworld > $o).
% 13.90/3.13 thf(func_def_57, type, ph1: !>[X0: $tType]:(X0)).
% 13.90/3.13 thf(f2189,plain,(
% 13.90/3.13 $false),
% 13.90/3.13 inference(avatar_sat_refutation,[status(thm)],[f231,f239,f408,f444,f515,f662,f665,f789,f914,f934,f990,f1279,f1316,f1319,f2150,f2153,f2188])).
% 13.90/3.13 thf(f2188,plain,(
% 13.90/3.13 spl0_1 | ~spl0_31),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f2187])).
% 13.90/3.13 thf(f2187,plain,(
% 13.90/3.13 $false | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2186])).
% 13.90/3.13 thf(f2186,plain,(
% 13.90/3.13 ($true = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(backward_demodulation,[status(thm)],[f1416,f2185])).
% 13.90/3.13 thf(f2185,plain,(
% 13.90/3.13 ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2184])).
% 13.90/3.13 thf(f2184,plain,(
% 13.90/3.13 ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2183,f1356])).
% 13.90/3.13 thf(f1356,plain,(
% 13.90/3.13 ((eiw_di @ sK10 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1354])).
% 13.90/3.13 thf(f1354,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK10 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1353])).
% 13.90/3.13 thf(f1353,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))) @ sK10)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1351])).
% 13.90/3.13 thf(f1351,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1350])).
% 13.90/3.13 thf(f1350,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1349])).
% 13.90/3.13 thf(f1349,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))) @ sK9)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1347])).
% 13.90/3.13 thf(f1347,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1346])).
% 13.90/3.13 thf(f1346,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1345])).
% 13.90/3.13 thf(f1345,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))) @ sK8)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1343])).
% 13.90/3.13 thf(f1343,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1342])).
% 13.90/3.13 thf(f1342,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK7 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1341])).
% 13.90/3.13 thf(f1341,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))) @ sK7)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1339])).
% 13.90/3.13 thf(f1339,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1338])).
% 13.90/3.13 thf(f1338,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK6 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1337])).
% 13.90/3.13 thf(f1337,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))) @ sK6)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1335])).
% 13.90/3.13 thf(f1335,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1334])).
% 13.90/3.13 thf(f1334,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK5 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1333])).
% 13.90/3.13 thf(f1333,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))) @ sK5) = $true) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1331])).
% 13.90/3.13 thf(f1331,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1330])).
% 13.90/3.13 thf(f1330,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK4 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1329])).
% 13.90/3.13 thf(f1329,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))) @ sK4)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1327])).
% 13.90/3.13 thf(f1327,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1326])).
% 13.90/3.13 thf(f1326,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK3 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1325])).
% 13.90/3.13 thf(f1325,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))) @ sK3)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1323])).
% 13.90/3.13 thf(f1323,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1322])).
% 13.90/3.13 thf(f1322,plain,(
% 13.90/3.13 (((eiw_di @ sK2 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))))) = $true) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1321])).
% 13.90/3.13 thf(f1321,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))) @ sK2)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f220])).
% 13.90/3.13 thf(f220,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) != $false) | spl0_1),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f219])).
% 13.90/3.13 thf(f219,definition,(
% 13.90/3.13 spl0_1 <=> ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $false)),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 13.90/3.13 thf(f2183,plain,(
% 13.90/3.13 ((eiw_di @ sK10 @ mactual) = $false) | ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2182])).
% 13.90/3.13 thf(f2182,plain,(
% 13.90/3.13 ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ((eiw_di @ sK10 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2181,f1363])).
% 13.90/3.13 thf(f1363,plain,(
% 13.90/3.13 ($true = (furniture @ sK2 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1362])).
% 13.90/3.13 thf(f1362,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1359])).
% 13.90/3.13 thf(f1359,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1358])).
% 13.90/3.13 thf(f1358,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK11 @ mactual) & (((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f1357])).
% 13.90/3.13 thf(f1357,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))) @ sK11)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f1355])).
% 13.90/3.13 thf(f1355,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1354])).
% 13.90/3.13 thf(f2181,plain,(
% 13.90/3.13 ((furniture @ sK2 @ mactual) = $false) | ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ((eiw_di @ sK10 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2180])).
% 13.90/3.13 thf(f2180,plain,(
% 13.90/3.13 ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ($true = $false) | ((furniture @ sK2 @ mactual) = $false) | ((eiw_di @ sK10 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2179,f1361])).
% 13.90/3.13 thf(f1361,plain,(
% 13.90/3.13 ((seat @ sK2 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1359])).
% 13.90/3.13 thf(f2179,plain,(
% 13.90/3.13 ((seat @ sK2 @ mactual) = $false) | ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ((eiw_di @ sK10 @ mactual) = $false) | ((furniture @ sK2 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2178])).
% 13.90/3.13 thf(f2178,plain,(
% 13.90/3.13 ((seat @ sK2 @ mactual) = $false) | ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ((furniture @ sK2 @ mactual) = $false) | ($true = $false) | ((eiw_di @ sK10 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2177,f1324])).
% 13.90/3.13 thf(f1324,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK2 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1322])).
% 13.90/3.13 thf(f2177,plain,(
% 13.90/3.13 ((eiw_di @ sK2 @ mactual) = $false) | ((furniture @ sK2 @ mactual) = $false) | ((seat @ sK2 @ mactual) = $false) | ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ((eiw_di @ sK10 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2176])).
% 13.90/3.13 thf(f2176,plain,(
% 13.90/3.13 ((eiw_di @ sK10 @ mactual) = $false) | ((seat @ sK2 @ mactual) = $false) | ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ((eiw_di @ sK2 @ mactual) = $false) | ((furniture @ sK2 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2175,f1365])).
% 13.90/3.13 thf(f1365,plain,(
% 13.90/3.13 ((front @ sK2 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1364])).
% 13.90/3.13 thf(f1364,plain,(
% 13.90/3.13 ((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1362])).
% 13.90/3.13 thf(f2175,plain,(
% 13.90/3.13 ((front @ sK2 @ mactual) = $false) | ((eiw_di @ sK10 @ mactual) = $false) | ((seat @ sK2 @ mactual) = $false) | ((eiw_di @ sK2 @ mactual) = $false) | ((furniture @ sK2 @ mactual) = $false) | ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2165])).
% 13.90/3.13 thf(f2165,plain,(
% 13.90/3.13 ((furniture @ sK2 @ mactual) = $false) | ((seat @ sK2 @ mactual) = $false) | ((qmltpeq @ sK8 @ sK10 @ mactual) = $false) | ($true = $false) | ((eiw_di @ sK10 @ mactual) = $false) | ((front @ sK2 @ mactual) = $false) | ((eiw_di @ sK2 @ mactual) = $false) | (spl0_1 | ~spl0_31)),
% 13.90/3.13 inference(superposition,[status(thm)],[f1464,f1418])).
% 13.90/3.13 thf(f1418,plain,(
% 13.90/3.13 ($true = (in @ sK10 @ sK2 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1417])).
% 13.90/3.13 thf(f1417,plain,(
% 13.90/3.13 ($true = (((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1415])).
% 13.90/3.13 thf(f1415,plain,(
% 13.90/3.13 ($true = ((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1413])).
% 13.90/3.13 thf(f1413,plain,(
% 13.90/3.13 ($true = (((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1411])).
% 13.90/3.13 thf(f1411,plain,(
% 13.90/3.13 (((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1409])).
% 13.90/3.13 thf(f1409,plain,(
% 13.90/3.13 ($true = (((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1407])).
% 13.90/3.13 thf(f1407,plain,(
% 13.90/3.13 (((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1405])).
% 13.90/3.13 thf(f1405,plain,(
% 13.90/3.13 ((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1402])).
% 13.90/3.13 thf(f1402,plain,(
% 13.90/3.13 ($true = ((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1400])).
% 13.90/3.13 thf(f1400,plain,(
% 13.90/3.13 ((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1398])).
% 13.90/3.13 thf(f1398,plain,(
% 13.90/3.13 ($true = ((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1396])).
% 13.90/3.13 thf(f1396,plain,(
% 13.90/3.13 ((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1394])).
% 13.90/3.13 thf(f1394,plain,(
% 13.90/3.13 ($true = ((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1392])).
% 13.90/3.13 thf(f1392,plain,(
% 13.90/3.13 ($true = (((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1390])).
% 13.90/3.13 thf(f1390,plain,(
% 13.90/3.13 ($true = ((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1388])).
% 13.90/3.13 thf(f1388,plain,(
% 13.90/3.13 ($true = (((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1386])).
% 13.90/3.13 thf(f1386,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1384])).
% 13.90/3.13 thf(f1384,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1382])).
% 13.90/3.13 thf(f1382,plain,(
% 13.90/3.13 (((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1380])).
% 13.90/3.13 thf(f1380,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1378])).
% 13.90/3.13 thf(f1378,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1376])).
% 13.90/3.13 thf(f1376,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1374])).
% 13.90/3.13 thf(f1374,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1372])).
% 13.90/3.13 thf(f1372,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1370])).
% 13.90/3.13 thf(f1370,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1368])).
% 13.90/3.13 thf(f1368,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1366])).
% 13.90/3.13 thf(f1366,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1364])).
% 13.90/3.13 thf(f1464,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (in @ X1 @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false)) ) | ~spl0_31),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f1463])).
% 13.90/3.13 thf(f1463,definition,(
% 13.90/3.13 spl0_31 <=> ! [X0 : $i,X1 : $i] : (((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_31])],[avatar_definition])).
% 13.90/3.13 thf(f1416,plain,(
% 13.90/3.13 ($true = (qmltpeq @ sK8 @ sK10 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1415])).
% 13.90/3.13 thf(f2153,plain,(
% 13.90/3.13 spl0_1 | ~spl0_58),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f2152])).
% 13.90/3.13 thf(f2152,plain,(
% 13.90/3.13 $false | (spl0_1 | ~spl0_58)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2151])).
% 13.90/3.13 thf(f2151,plain,(
% 13.90/3.13 ($true = $false) | (spl0_1 | ~spl0_58)),
% 13.90/3.13 inference(backward_demodulation,[status(thm)],[f1420,f2123])).
% 13.90/3.13 thf(f2123,plain,(
% 13.90/3.13 ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ~spl0_58),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f2121])).
% 13.90/3.13 thf(f2121,definition,(
% 13.90/3.13 spl0_58 <=> ((qmltpeq @ sK9 @ sK11 @ mactual) = $false)),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_58])],[avatar_definition])).
% 13.90/3.13 thf(f1420,plain,(
% 13.90/3.13 ($true = (qmltpeq @ sK9 @ sK11 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1419])).
% 13.90/3.13 thf(f1419,plain,(
% 13.90/3.13 ($true = ((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1417])).
% 13.90/3.13 thf(f2150,plain,(
% 13.90/3.13 spl0_58 | spl0_31 | spl0_1 | ~spl0_6),
% 13.90/3.13 inference(avatar_split_clause,[status(thm)],[f2149,f406,f219,f1463,f2121])).
% 13.90/3.13 thf(f406,definition,(
% 13.90/3.13 spl0_6 <=> ! [X2 : $i,X10 : $i,X7 : $i,X8 : $i,X9 : $i,X1 : $i] : (((eiw_di @ X7 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((qmltpeq @ X8 @ X10 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ((young @ X8 @ mactual) = $false) | ($false = (man @ X8 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (in @ X10 @ X2 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 13.90/3.13 thf(f2149,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2148])).
% 13.90/3.13 thf(f2148,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2147,f1410])).
% 13.90/3.13 thf(f1410,plain,(
% 13.90/3.13 ((fellow @ sK9 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1409])).
% 13.90/3.13 thf(f2147,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (in @ X1 @ X0 @ mactual)) | ((furniture @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2146])).
% 13.90/3.13 thf(f2146,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((fellow @ sK9 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ($true = $false) | ($false = (front @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2145,f1352])).
% 13.90/3.13 thf(f1352,plain,(
% 13.90/3.13 ((eiw_di @ sK9 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1350])).
% 13.90/3.13 thf(f2145,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK9 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2144])).
% 13.90/3.13 thf(f2144,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ($true = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2143,f1412])).
% 13.90/3.13 thf(f1412,plain,(
% 13.90/3.13 ($true = (man @ sK9 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1411])).
% 13.90/3.13 thf(f2143,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((man @ sK9 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((fellow @ sK9 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2142])).
% 13.90/3.13 thf(f2142,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (front @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ($true = $false) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2141,f1404])).
% 13.90/3.13 thf(f1404,plain,(
% 13.90/3.13 ($true = (fellow @ sK8 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1402])).
% 13.90/3.13 thf(f2141,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (in @ X1 @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2140])).
% 13.90/3.13 thf(f2140,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((seat @ X0 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ($true = $false) | ($false = (front @ X0 @ mactual)) | ($false = (in @ X1 @ X0 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2139,f1348])).
% 13.90/3.13 thf(f1348,plain,(
% 13.90/3.13 ((eiw_di @ sK8 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1346])).
% 13.90/3.13 thf(f2139,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK8 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2138])).
% 13.90/3.13 thf(f2138,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((man @ sK9 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2137,f1406])).
% 13.90/3.13 thf(f1406,plain,(
% 13.90/3.13 ($true = (man @ sK8 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1405])).
% 13.90/3.13 thf(f2137,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((man @ sK8 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2136])).
% 13.90/3.13 thf(f2136,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((man @ sK8 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ($true = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2135,f1414])).
% 13.90/3.13 thf(f1414,plain,(
% 13.90/3.13 ($true = (young @ sK9 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1413])).
% 13.90/3.13 thf(f2135,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((furniture @ X0 @ mactual) = $false) | ($false = (young @ sK9 @ mactual)) | ((man @ sK9 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2134])).
% 13.90/3.13 thf(f2134,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((man @ sK9 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $false) | ($false = (young @ sK9 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f2072,f1408])).
% 13.90/3.13 thf(f1408,plain,(
% 13.90/3.13 ($true = (young @ sK8 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1407])).
% 13.90/3.13 thf(f2072,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (young @ sK8 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((fellow @ sK8 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (young @ sK9 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f2052])).
% 13.90/3.13 thf(f2052,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (front @ X0 @ mactual)) | ($false = (young @ sK8 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK9 @ sK11 @ mactual) = $false) | ($false = (in @ X1 @ X0 @ mactual)) | ((man @ sK8 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ($true = $false) | ((fellow @ sK9 @ mactual) = $false) | ($false = (young @ sK9 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(superposition,[status(thm)],[f1600,f1403])).
% 13.90/3.13 thf(f1403,plain,(
% 13.90/3.13 ((qmltpeq @ sK8 @ sK9 @ mactual) = $false) | spl0_1),
% 13.90/3.13 inference(not_proxy_clausification,[status(thm)],[f1401])).
% 13.90/3.13 thf(f1401,plain,(
% 13.90/3.13 ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1400])).
% 13.90/3.13 thf(f1600,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((young @ X2 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (young @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((man @ X0 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1599])).
% 13.90/3.13 thf(f1599,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((man @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ($false = (young @ X0 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($true = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (man @ X2 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1598,f1328])).
% 13.90/3.13 thf(f1328,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK3 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1326])).
% 13.90/3.13 thf(f1598,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((seat @ X1 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (man @ X2 @ mactual)) | ($false = (young @ X0 @ mactual)) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ((man @ X0 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ($false = (eiw_di @ sK3 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1597])).
% 13.90/3.13 thf(f1597,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((young @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((man @ X0 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ($false = (young @ X0 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1596,f1369])).
% 13.90/3.13 thf(f1369,plain,(
% 13.90/3.13 ((furniture @ sK3 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1368])).
% 13.90/3.13 thf(f1596,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ sK3 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((man @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (young @ X0 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ($false = (in @ X3 @ X1 @ mactual)) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((young @ X2 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1595])).
% 13.90/3.13 thf(f1595,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (man @ X2 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK3 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ((furniture @ sK3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ((young @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($true = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((man @ X0 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK11 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1594,f1367])).
% 13.90/3.13 thf(f1367,plain,(
% 13.90/3.13 ($true = (seat @ sK3 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1366])).
% 13.90/3.13 thf(f1594,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ($false = (seat @ sK3 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ((furniture @ sK3 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (man @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ((man @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1593])).
% 13.90/3.13 thf(f1593,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | ($false = (seat @ sK3 @ mactual)) | ($true = $false) | ($false = (young @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ sK3 @ mactual)) | ((man @ X0 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (qmltpeq @ X2 @ X3 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1592,f1360])).
% 13.90/3.13 thf(f1360,plain,(
% 13.90/3.13 ((eiw_di @ sK11 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1358])).
% 13.90/3.13 thf(f1592,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (man @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ((man @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ((eiw_di @ sK11 @ mactual) = $false) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (young @ X0 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ($false = (seat @ sK3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ((furniture @ sK3 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual))) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1591])).
% 13.90/3.13 thf(f1591,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (man @ X2 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((front @ X1 @ mactual) = $false) | ($false = (seat @ sK3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((man @ X0 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($true = $false) | ($false = (young @ X0 @ mactual)) | ((eiw_di @ sK11 @ mactual) = $false) | ($false = (eiw_di @ sK3 @ mactual)) | ((young @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ($false = (in @ X3 @ X1 @ mactual)) | ((furniture @ sK3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1590,f1371])).
% 13.90/3.13 thf(f1371,plain,(
% 13.90/3.13 ($true = (front @ sK3 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1370])).
% 13.90/3.13 thf(f1590,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | ($false = (eiw_di @ sK3 @ mactual)) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (man @ X2 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (seat @ sK3 @ mactual)) | ((young @ X2 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((eiw_di @ sK11 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ((man @ X0 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1588])).
% 13.90/3.13 thf(f1588,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ($false = (seat @ sK3 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((man @ X0 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | ($false = (eiw_di @ sK3 @ mactual)) | ((young @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ($false = (man @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ($false = (qmltpeq @ X0 @ sK11 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ($true = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK11 @ mactual) = $false)) ) | (spl0_1 | ~spl0_6)),
% 13.90/3.13 inference(superposition,[status(thm)],[f407,f1421])).
% 13.90/3.13 thf(f1421,plain,(
% 13.90/3.13 ($true = (in @ sK11 @ sK3 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f1419])).
% 13.90/3.13 thf(f407,plain,(
% 13.90/3.13 ( ! [X2 : $i,X10 : $i,X1 : $i,X8 : $i,X9 : $i,X7 : $i] : (($false = (in @ X10 @ X2 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((qmltpeq @ X8 @ X10 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (man @ X8 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_6),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f406])).
% 13.90/3.13 thf(f1319,plain,(
% 13.90/3.13 ~spl0_3 | ~spl0_20),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f1318])).
% 13.90/3.13 thf(f1318,plain,(
% 13.90/3.13 $false | (~spl0_3 | ~spl0_20)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1317])).
% 13.90/3.13 thf(f1317,plain,(
% 13.90/3.13 ($true = $false) | (~spl0_3 | ~spl0_20)),
% 13.90/3.13 inference(backward_demodulation,[status(thm)],[f893,f1104])).
% 13.90/3.13 thf(f1104,plain,(
% 13.90/3.13 ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ~spl0_20),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f1102])).
% 13.90/3.13 thf(f1102,definition,(
% 13.90/3.13 spl0_20 <=> ($false = (qmltpeq @ sK19 @ sK21 @ mactual))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_20])],[avatar_definition])).
% 13.90/3.13 thf(f893,plain,(
% 13.90/3.13 ($true = (qmltpeq @ sK19 @ sK21 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f892])).
% 13.90/3.13 thf(f892,plain,(
% 13.90/3.13 (((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f890])).
% 13.90/3.13 thf(f890,plain,(
% 13.90/3.13 ($true = (((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f888])).
% 13.90/3.13 thf(f888,plain,(
% 13.90/3.13 (((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f886])).
% 13.90/3.13 thf(f886,plain,(
% 13.90/3.13 ($true = (((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f884])).
% 13.90/3.13 thf(f884,plain,(
% 13.90/3.13 ($true = ((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f882])).
% 13.90/3.13 thf(f882,plain,(
% 13.90/3.13 ((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f880])).
% 13.90/3.13 thf(f880,plain,(
% 13.90/3.13 (((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f878])).
% 13.90/3.13 thf(f878,plain,(
% 13.90/3.13 ((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f875])).
% 13.90/3.13 thf(f875,plain,(
% 13.90/3.13 ($true = ((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f873])).
% 13.90/3.13 thf(f873,plain,(
% 13.90/3.13 ($true = (((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual)))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f871])).
% 13.90/3.13 thf(f871,plain,(
% 13.90/3.13 ($true = ((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f869])).
% 13.90/3.13 thf(f869,plain,(
% 13.90/3.13 ($true = (((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f867])).
% 13.90/3.13 thf(f867,plain,(
% 13.90/3.13 (((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f865])).
% 13.90/3.13 thf(f865,plain,(
% 13.90/3.13 ($true = (((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f863])).
% 13.90/3.13 thf(f863,plain,(
% 13.90/3.13 ($true = ((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f861])).
% 13.90/3.13 thf(f861,plain,(
% 13.90/3.13 ($true = (((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f859])).
% 13.90/3.13 thf(f859,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f857])).
% 13.90/3.13 thf(f857,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f855])).
% 13.90/3.13 thf(f855,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f853])).
% 13.90/3.13 thf(f853,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f851])).
% 13.90/3.13 thf(f851,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f849])).
% 13.90/3.13 thf(f849,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f847])).
% 13.90/3.13 thf(f847,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f845])).
% 13.90/3.13 thf(f845,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f843])).
% 13.90/3.13 thf(f843,plain,(
% 13.90/3.13 (((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f841])).
% 13.90/3.13 thf(f841,plain,(
% 13.90/3.13 ((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f839])).
% 13.90/3.13 thf(f839,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f837])).
% 13.90/3.13 thf(f837,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f835])).
% 13.90/3.13 thf(f835,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f832])).
% 13.90/3.13 thf(f832,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f831])).
% 13.90/3.13 thf(f831,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK21 @ mactual) & (((((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f830])).
% 13.90/3.13 thf(f830,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y0 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))) @ sK21) = $true) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f828])).
% 13.90/3.13 thf(f828,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y0 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f827])).
% 13.90/3.13 thf(f827,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK20 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y0 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f826])).
% 13.90/3.13 thf(f826,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y1 @ mactual)) & (in @ Y0 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y0 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))) @ sK20)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f824])).
% 13.90/3.13 thf(f824,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y1 @ mactual)) & (in @ Y0 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y0 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f823])).
% 13.90/3.13 thf(f823,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK19 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y1 @ mactual)) & (in @ Y0 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y0 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f822])).
% 13.90/3.13 thf(f822,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK13 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ Y0 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))) @ sK19) = $true) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f820])).
% 13.90/3.13 thf(f820,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK13 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ Y0 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f819])).
% 13.90/3.13 thf(f819,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK18 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK13 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ Y0 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f818])).
% 13.90/3.13 thf(f818,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK13 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK12 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))) @ sK18)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f816])).
% 13.90/3.13 thf(f816,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK13 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK12 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f815])).
% 13.90/3.13 thf(f815,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK17 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK13 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK12 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f814])).
% 13.90/3.13 thf(f814,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK13 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK12 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))) @ sK17) = $true) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f812])).
% 13.90/3.13 thf(f812,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK13 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK12 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f811])).
% 13.90/3.13 thf(f811,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK16 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK13 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK12 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f810])).
% 13.90/3.13 thf(f810,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK13 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK12 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ Y0 @ mactual)) & (barrel @ sK15 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))) @ sK16) = $true) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f808])).
% 13.90/3.13 thf(f808,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK13 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK12 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ Y0 @ mactual)) & (barrel @ sK15 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f807])).
% 13.90/3.13 thf(f807,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK15 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK13 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK12 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ Y0 @ mactual)) & (barrel @ sK15 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f806])).
% 13.90/3.13 thf(f806,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK13 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK12 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK14 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))) @ sK15)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f804])).
% 13.90/3.13 thf(f804,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK13 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK12 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK14 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f803])).
% 13.90/3.13 thf(f803,plain,(
% 13.90/3.13 (((eiw_di @ sK14 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK13 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK12 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK14 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f802])).
% 13.90/3.13 thf(f802,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK13 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK12 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))))))))) @ sK14)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f800])).
% 13.90/3.13 thf(f800,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK13 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK12 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f799])).
% 13.90/3.13 thf(f799,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK13 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK13 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK12 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f798])).
% 13.90/3.13 thf(f798,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK12 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))))))) @ sK13)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f796])).
% 13.90/3.13 thf(f796,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK12 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f795])).
% 13.90/3.13 thf(f795,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK12 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK12 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f794])).
% 13.90/3.13 thf(f794,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))) @ sK12)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f230])).
% 13.90/3.13 thf(f230,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f228])).
% 13.90/3.13 thf(f228,definition,(
% 13.90/3.13 spl0_3 <=> ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $true)),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 13.90/3.13 thf(f1316,plain,(
% 13.90/3.13 ~spl0_3 | ~spl0_29),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f1315])).
% 13.90/3.13 thf(f1315,plain,(
% 13.90/3.13 $false | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1314])).
% 13.90/3.13 thf(f1314,plain,(
% 13.90/3.13 ($true = $false) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(backward_demodulation,[status(thm)],[f838,f1313])).
% 13.90/3.13 thf(f1313,plain,(
% 13.90/3.13 ($false = (front @ sK12 @ mactual)) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1312])).
% 13.90/3.13 thf(f1312,plain,(
% 13.90/3.13 ($true = $false) | ($false = (front @ sK12 @ mactual)) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1311,f797])).
% 13.90/3.13 thf(f797,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK12 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f795])).
% 13.90/3.13 thf(f1311,plain,(
% 13.90/3.13 ($false = (eiw_di @ sK12 @ mactual)) | ($false = (front @ sK12 @ mactual)) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1310])).
% 13.90/3.13 thf(f1310,plain,(
% 13.90/3.13 ($false = (front @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | ($true = $false) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1309,f834])).
% 13.90/3.13 thf(f834,plain,(
% 13.90/3.13 ($true = (seat @ sK12 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f832])).
% 13.90/3.13 thf(f1309,plain,(
% 13.90/3.13 ((seat @ sK12 @ mactual) = $false) | ($false = (front @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1308])).
% 13.90/3.13 thf(f1308,plain,(
% 13.90/3.13 ((seat @ sK12 @ mactual) = $false) | ($true = $false) | ($false = (eiw_di @ sK12 @ mactual)) | ($false = (front @ sK12 @ mactual)) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1307,f836])).
% 13.90/3.13 thf(f836,plain,(
% 13.90/3.13 ($true = (furniture @ sK12 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f835])).
% 13.90/3.13 thf(f1307,plain,(
% 13.90/3.13 ($false = (furniture @ sK12 @ mactual)) | ((seat @ sK12 @ mactual) = $false) | ($false = (front @ sK12 @ mactual)) | ($false = (eiw_di @ sK12 @ mactual)) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1305])).
% 13.90/3.13 thf(f1305,plain,(
% 13.90/3.13 ($false = (furniture @ sK12 @ mactual)) | ($false = (front @ sK12 @ mactual)) | ((seat @ sK12 @ mactual) = $false) | ($false = (eiw_di @ sK12 @ mactual)) | ($true = $false) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(superposition,[status(thm)],[f891,f1303])).
% 13.90/3.13 thf(f1303,plain,(
% 13.90/3.13 ( ! [X0 : $i] : (($false = (in @ sK20 @ X0 @ mactual)) | ((furniture @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1302])).
% 13.90/3.13 thf(f1302,plain,(
% 13.90/3.13 ( ! [X0 : $i] : (((seat @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ($true = $false) | ($false = (in @ sK20 @ X0 @ mactual)) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1295,f829])).
% 13.90/3.13 thf(f829,plain,(
% 13.90/3.13 ((eiw_di @ sK20 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f827])).
% 13.90/3.13 thf(f1295,plain,(
% 13.90/3.13 ( ! [X0 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($false = (in @ sK20 @ X0 @ mactual)) | ((eiw_di @ sK20 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1284])).
% 13.90/3.13 thf(f1284,plain,(
% 13.90/3.13 ( ! [X0 : $i] : (((furniture @ X0 @ mactual) = $false) | ((eiw_di @ sK20 @ mactual) = $false) | ($false = (in @ sK20 @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual))) ) | (~spl0_3 | ~spl0_29)),
% 13.90/3.13 inference(superposition,[status(thm)],[f889,f1261])).
% 13.90/3.13 thf(f1261,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_29),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f1260])).
% 13.90/3.13 thf(f1260,definition,(
% 13.90/3.13 spl0_29 <=> ! [X0 : $i,X1 : $i] : (((front @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_29])],[avatar_definition])).
% 13.90/3.13 thf(f889,plain,(
% 13.90/3.13 ($true = (qmltpeq @ sK18 @ sK20 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f888])).
% 13.90/3.13 thf(f891,plain,(
% 13.90/3.13 ($true = (in @ sK20 @ sK12 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f890])).
% 13.90/3.13 thf(f838,plain,(
% 13.90/3.13 ($true = (front @ sK12 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f837])).
% 13.90/3.13 thf(f1279,plain,(
% 13.90/3.13 spl0_29 | spl0_20 | ~spl0_3 | ~spl0_6),
% 13.90/3.13 inference(avatar_split_clause,[status(thm)],[f1278,f406,f228,f1102,f1260])).
% 13.90/3.13 thf(f1278,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1277])).
% 13.90/3.13 thf(f1277,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((furniture @ X1 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1276,f881])).
% 13.90/3.13 thf(f881,plain,(
% 13.90/3.13 ($true = (young @ sK18 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f880])).
% 13.90/3.13 thf(f1276,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((seat @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((front @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1275])).
% 13.90/3.13 thf(f1275,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ($true = $false) | ((furniture @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1274,f879])).
% 13.90/3.13 thf(f879,plain,(
% 13.90/3.13 ((man @ sK18 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f878])).
% 13.90/3.13 thf(f1274,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((man @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((young @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1273])).
% 13.90/3.13 thf(f1273,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ($true = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1272,f825])).
% 13.90/3.13 thf(f825,plain,(
% 13.90/3.13 ((eiw_di @ sK19 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f823])).
% 13.90/3.13 thf(f1272,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK19 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((young @ sK18 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1271])).
% 13.90/3.13 thf(f1271,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((furniture @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((front @ X1 @ mactual) = $false) | ($true = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1270,f883])).
% 13.90/3.13 thf(f883,plain,(
% 13.90/3.13 ((fellow @ sK19 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f882])).
% 13.90/3.13 thf(f1270,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((fellow @ sK19 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((young @ sK18 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((eiw_di @ sK19 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1269])).
% 13.90/3.13 thf(f1269,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((front @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ($true = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((man @ sK18 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1268,f885])).
% 13.90/3.13 thf(f885,plain,(
% 13.90/3.13 ($true = (man @ sK19 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f884])).
% 13.90/3.13 thf(f1268,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((furniture @ X1 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((eiw_di @ sK19 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1267])).
% 13.90/3.13 thf(f1267,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((man @ sK19 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($true = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1266,f887])).
% 13.90/3.13 thf(f887,plain,(
% 13.90/3.13 ($true = (young @ sK19 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f886])).
% 13.90/3.13 thf(f1266,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((young @ sK19 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((fellow @ sK19 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1265])).
% 13.90/3.13 thf(f1265,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((eiw_di @ sK19 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($true = $false) | ((young @ sK19 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((front @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1264,f877])).
% 13.90/3.13 thf(f877,plain,(
% 13.90/3.13 ($true = (fellow @ sK18 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f875])).
% 13.90/3.13 thf(f1264,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((seat @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ($false = (fellow @ sK18 @ mactual)) | ((man @ sK18 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1263])).
% 13.90/3.13 thf(f1263,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = $false) | ((young @ sK19 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ($false = (fellow @ sK18 @ mactual)) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1235,f821])).
% 13.90/3.13 thf(f821,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK18 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f819])).
% 13.90/3.13 thf(f1235,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((young @ sK18 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (fellow @ sK18 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1230])).
% 13.90/3.13 thf(f1230,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ sK21 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((eiw_di @ sK18 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ($false = (fellow @ sK18 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ($true = $false) | ($false = (qmltpeq @ sK18 @ X0 @ mactual)) | ((man @ sK18 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(superposition,[status(thm)],[f876,f1015])).
% 13.90/3.13 thf(f1015,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (qmltpeq @ X2 @ X0 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((young @ X2 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((man @ X0 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ((front @ X1 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1014])).
% 13.90/3.13 thf(f1014,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (young @ X0 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((man @ X0 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1013,f842])).
% 13.90/3.13 thf(f842,plain,(
% 13.90/3.13 ($true = (furniture @ sK13 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f841])).
% 13.90/3.13 thf(f1013,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (furniture @ sK13 @ mactual)) | ((man @ X0 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ($false = (in @ X3 @ X1 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((front @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1012])).
% 13.90/3.13 thf(f1012,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (fellow @ X0 @ mactual)) | ((man @ X0 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ($true = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ((front @ X1 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (young @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (furniture @ sK13 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1011,f840])).
% 13.90/3.13 thf(f840,plain,(
% 13.90/3.13 ((seat @ sK13 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f839])).
% 13.90/3.13 thf(f1011,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((man @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ($false = (man @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (in @ X3 @ X1 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ($false = (furniture @ sK13 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1010])).
% 13.90/3.13 thf(f1010,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (in @ X3 @ X1 @ mactual)) | ((man @ X0 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($true = $false) | ($false = (fellow @ X0 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ($false = (furniture @ sK13 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (man @ X2 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1009,f833])).
% 13.90/3.13 thf(f833,plain,(
% 13.90/3.13 ((eiw_di @ sK21 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f831])).
% 13.90/3.13 thf(f1009,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((man @ X0 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ sK21 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (man @ X2 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ($false = (furniture @ sK13 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ($false = (fellow @ X0 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1008])).
% 13.90/3.13 thf(f1008,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ sK21 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((man @ X0 @ mactual) = $false) | ($true = $false) | ($false = (furniture @ sK13 @ mactual)) | ((front @ X1 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((young @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (young @ X0 @ mactual)) | ($false = (in @ X3 @ X1 @ mactual)) | ((seat @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1007,f801])).
% 13.90/3.13 thf(f801,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK13 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f799])).
% 13.90/3.13 thf(f1007,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ($false = (eiw_di @ sK13 @ mactual)) | ($false = (fellow @ X0 @ mactual)) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((eiw_di @ sK21 @ mactual) = $false) | ($false = (young @ X0 @ mactual)) | ((seat @ sK13 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ((man @ X0 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((young @ X2 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ($false = (furniture @ sK13 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f1006])).
% 13.90/3.13 thf(f1006,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (young @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (furniture @ sK13 @ mactual)) | ((young @ X2 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((man @ X0 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($true = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (eiw_di @ sK13 @ mactual)) | ((seat @ sK13 @ mactual) = $false) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ($false = (in @ X3 @ X1 @ mactual)) | ($false = (man @ X2 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ((eiw_di @ sK21 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f1005,f844])).
% 13.90/3.13 thf(f844,plain,(
% 13.90/3.13 ($true = (front @ sK13 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f843])).
% 13.90/3.13 thf(f1005,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (in @ X3 @ X1 @ mactual)) | ((young @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ sK13 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ sK13 @ mactual)) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((eiw_di @ sK21 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (fellow @ X0 @ mactual)) | ($false = (furniture @ sK13 @ mactual)) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ((man @ X0 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ($false = (young @ X0 @ mactual)) | ($false = (man @ X2 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((fellow @ X2 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f993])).
% 13.90/3.13 thf(f993,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (fellow @ X0 @ mactual)) | ($true = (qmltpeq @ X2 @ X0 @ mactual)) | ((seat @ sK13 @ mactual) = $false) | ($true = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK13 @ mactual)) | ((fellow @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((front @ sK13 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ sK21 @ mactual) = $false) | ($false = (man @ X2 @ mactual)) | ((man @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (qmltpeq @ X0 @ sK21 @ mactual)) | ($false = (furniture @ sK13 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (young @ X0 @ mactual)) | ((young @ X2 @ mactual) = $false) | ($false = (qmltpeq @ X2 @ X3 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (in @ X3 @ X1 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 13.90/3.13 inference(superposition,[status(thm)],[f407,f894])).
% 13.90/3.13 thf(f894,plain,(
% 13.90/3.13 ($true = (in @ sK21 @ sK13 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f892])).
% 13.90/3.13 thf(f876,plain,(
% 13.90/3.13 ($false = (qmltpeq @ sK18 @ sK19 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(not_proxy_clausification,[status(thm)],[f874])).
% 13.90/3.13 thf(f874,plain,(
% 13.90/3.13 ($true = (~ (qmltpeq @ sK18 @ sK19 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f873])).
% 13.90/3.13 thf(f990,plain,(
% 13.90/3.13 spl0_5 | spl0_6 | ~spl0_1),
% 13.90/3.13 inference(avatar_split_clause,[status(thm)],[f989,f219,f406,f403])).
% 13.90/3.13 thf(f403,definition,(
% 13.90/3.13 spl0_5 <=> ! [X5 : $i,X4 : $i,X6 : $i,X3 : $i] : (((dirty @ X6 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((way @ X5 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 13.90/3.13 thf(f989,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((chevy @ X5 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((event @ X4 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (in @ X10 @ X2 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($false = (man @ X8 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ($false = (dirty @ X5 @ mactual)) | ((qmltpeq @ X8 @ X10 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ($false = (man @ X7 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (lonely @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f988])).
% 13.90/3.13 thf(f988,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((furniture @ X2 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ($false = (man @ X7 @ mactual)) | ($false = (dirty @ X5 @ mactual)) | ($false = (lonely @ X6 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ($false = (man @ X8 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ($false = (white @ X5 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = ((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f987])).
% 13.90/3.13 thf(f987,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((hollywood @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ($false = (fellow @ X8 @ mactual)) | ($false = (lonely @ X6 @ mactual)) | ($false = (white @ X5 @ mactual)) | ((down @ X4 @ X6 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual))) | ((seat @ X1 @ mactual) = $false) | ($false = (man @ X8 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (young @ X7 @ mactual)) | ($false = (street @ X6 @ mactual)) | ($false = (old @ X5 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f986])).
% 13.90/3.13 thf(f986,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | (((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (man @ X7 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ($false = (white @ X5 @ mactual)) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((young @ X8 @ mactual) = $false) | ($false = (man @ X8 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((hollywood @ X3 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((car @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((front @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f985])).
% 13.90/3.13 thf(f985,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ($false = (man @ X7 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (man @ X8 @ mactual)) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((hollywood @ X3 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((way @ X6 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f984])).
% 13.90/3.13 thf(f984,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((hollywood @ X3 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = ((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual))) | ((car @ X5 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ($false = (man @ X7 @ mactual)) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ($false = (street @ X6 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f983])).
% 13.90/3.13 thf(f983,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (old @ X5 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (dirty @ X5 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((front @ X2 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) = $false) | ($false = (man @ X7 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f982])).
% 13.90/3.13 thf(f982,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (city @ X3 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((way @ X6 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | (((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) = $false) | ((front @ X2 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f981])).
% 13.90/3.13 thf(f981,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) = $false) | ((front @ X1 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((down @ X4 @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(not_proxy_clausification,[status(thm)],[f980])).
% 13.90/3.13 thf(f980,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (lonely @ X6 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((event @ X4 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (~ (qmltpeq @ X7 @ X8 @ mactual))) | ((furniture @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (dirty @ X5 @ mactual)) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f979])).
% 13.90/3.13 thf(f979,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((front @ X2 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | (((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (~ (qmltpeq @ X7 @ X8 @ mactual))) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f978])).
% 13.90/3.13 thf(f978,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((event @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f977])).
% 13.90/3.13 thf(f977,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((event @ X4 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | (((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f976])).
% 13.90/3.13 thf(f976,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((car @ X5 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual))) | ((eiw_di @ X9 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((front @ X2 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (lonely @ X6 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f975])).
% 13.90/3.13 thf(f975,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (lonely @ X6 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | (((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) = $false) | ((furniture @ X2 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (dirty @ X5 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f974])).
% 13.90/3.13 thf(f974,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((event @ X4 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual))) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (old @ X5 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f973])).
% 13.90/3.13 thf(f973,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | (((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) = $false) | ($false = (dirty @ X5 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (old @ X5 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f972])).
% 13.90/3.13 thf(f972,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (old @ X5 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual))) | ($false = (white @ X5 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((front @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f971])).
% 13.90/3.13 thf(f971,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ($false = (white @ X5 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = ((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual))) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (dirty @ X5 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f970])).
% 13.90/3.13 thf(f970,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (white @ X5 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f969])).
% 13.90/3.13 thf(f969,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((front @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = ((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual))) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f968])).
% 13.90/3.13 thf(f968,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual))) | ((seat @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f967])).
% 13.90/3.13 thf(f967,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((event @ X4 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = ((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual))) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f966])).
% 13.90/3.13 thf(f966,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X8 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual))) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f965])).
% 13.90/3.13 thf(f965,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((front @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = ((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual))) | ((front @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f964])).
% 13.90/3.13 thf(f964,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual))) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f963])).
% 13.90/3.13 thf(f963,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((front @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ($false = ((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual))) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f962])).
% 13.90/3.13 thf(f962,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual))) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f961])).
% 13.90/3.13 thf(f961,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual))) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f960])).
% 13.90/3.13 thf(f960,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X10 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f959])).
% 13.90/3.13 thf(f959,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X10 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = ((((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual))) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f958])).
% 13.90/3.13 thf(f958,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (((((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f957])).
% 13.90/3.13 thf(f957,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = ((eiw_di @ X10 @ mactual) & (((((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f956])).
% 13.90/3.13 thf(f956,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ X2 @ mactual) & (qmltpeq @ X8 @ Y0 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))) @ X10) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f955])).
% 13.90/3.13 thf(f955,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ X2 @ mactual) & (qmltpeq @ X8 @ Y0 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f954])).
% 13.90/3.13 thf(f954,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((eiw_di @ X9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ X2 @ mactual) & (qmltpeq @ X8 @ Y0 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f953])).
% 13.90/3.13 thf(f953,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ X2 @ mactual) & (qmltpeq @ X8 @ Y1 @ mactual)) & (in @ Y0 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y0 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))) @ X9) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f952])).
% 13.90/3.13 thf(f952,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ X2 @ mactual) & (qmltpeq @ X8 @ Y1 @ mactual)) & (in @ Y0 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y0 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f951])).
% 13.90/3.13 thf(f951,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X6 @ mactual) = $false) | ($false = ((eiw_di @ X8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ X2 @ mactual) & (qmltpeq @ X8 @ Y1 @ mactual)) & (in @ Y0 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y0 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f950])).
% 13.90/3.13 thf(f950,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ X2 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ Y0 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))) @ X8) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f949])).
% 13.90/3.13 thf(f949,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ X2 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ Y0 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f948])).
% 13.90/3.13 thf(f948,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((eiw_di @ X7 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ X2 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ Y0 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f947])).
% 13.90/3.13 thf(f947,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ X2 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ X1 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))) @ X7) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f946])).
% 13.90/3.13 thf(f946,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ X2 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ X1 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f945])).
% 13.90/3.13 thf(f945,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | (((eiw_di @ X6 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ X2 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ X1 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X6 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ X6 @ mactual)) & (way @ X6 @ mactual)) & (street @ X6 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f944])).
% 13.90/3.13 thf(f944,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ X2 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ X1 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y0 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))) @ X6) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f943])).
% 13.90/3.13 thf(f943,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ X2 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ X1 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y0 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f942])).
% 13.90/3.13 thf(f942,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ($false = ((eiw_di @ X5 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ X2 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ X1 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y0 @ mactual)) & (barrel @ X4 @ X5 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ X5 @ mactual)) & (dirty @ X5 @ mactual)) & (white @ X5 @ mactual)) & (car @ X5 @ mactual)) & (chevy @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f941])).
% 13.90/3.13 thf(f941,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ X2 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ X1 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y1 @ mactual)) & (barrel @ X4 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))) @ X5)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f940])).
% 13.90/3.13 thf(f940,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ X2 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ X1 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y1 @ mactual)) & (barrel @ X4 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f939])).
% 13.90/3.13 thf(f939,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((eiw_di @ X4 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ X2 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ X1 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y1 @ mactual)) & (barrel @ X4 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f938])).
% 13.90/3.13 thf(f938,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ X2 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ X1 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ X3 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))) @ X4)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f937])).
% 13.90/3.13 thf(f937,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ X2 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ X1 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ X3 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f936])).
% 13.90/3.13 thf(f936,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((eiw_di @ X3 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ X2 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ X1 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ X3 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))))))))) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f935])).
% 13.90/3.13 thf(f935,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ X2 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ X1 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))))))))) @ X3) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f897])).
% 13.90/3.13 thf(f897,plain,(
% 13.90/3.13 ( ! [X2 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ X2 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ X1 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))))))) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f896])).
% 13.90/3.13 thf(f896,plain,(
% 13.90/3.13 ( ! [X2 : $i,X1 : $i] : (($false = ((eiw_di @ X2 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ X2 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ X1 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))))))))) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f895])).
% 13.90/3.13 thf(f895,plain,(
% 13.90/3.13 ( ! [X2 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ X1 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))))))))) @ X2)) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f793])).
% 13.90/3.13 thf(f793,plain,(
% 13.90/3.13 ( ! [X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ X1 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))))))))))) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f792])).
% 13.90/3.13 thf(f792,plain,(
% 13.90/3.13 ( ! [X1 : $i] : ((((eiw_di @ X1 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ X1 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))))))))))) = $false)) ) | ~spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f791])).
% 13.90/3.13 thf(f791,plain,(
% 13.90/3.13 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))) @ X1))) ) | ~spl0_1),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f221])).
% 13.90/3.13 thf(f221,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f219])).
% 13.90/3.13 thf(f934,plain,(
% 13.90/3.13 ~spl0_3 | ~spl0_13),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f933])).
% 13.90/3.13 thf(f933,plain,(
% 13.90/3.13 $false | (~spl0_3 | ~spl0_13)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f932])).
% 13.90/3.13 thf(f932,plain,(
% 13.90/3.13 ($true = $false) | (~spl0_3 | ~spl0_13)),
% 13.90/3.13 inference(backward_demodulation,[status(thm)],[f846,f931])).
% 13.90/3.13 thf(f931,plain,(
% 13.90/3.13 ($false = (hollywood @ sK14 @ mactual)) | (~spl0_3 | ~spl0_13)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f930])).
% 13.90/3.13 thf(f930,plain,(
% 13.90/3.13 ($false = (hollywood @ sK14 @ mactual)) | ($true = $false) | (~spl0_3 | ~spl0_13)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f929,f848])).
% 13.90/3.13 thf(f848,plain,(
% 13.90/3.13 ((city @ sK14 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f847])).
% 13.90/3.13 thf(f929,plain,(
% 13.90/3.13 ((city @ sK14 @ mactual) = $false) | ($false = (hollywood @ sK14 @ mactual)) | (~spl0_3 | ~spl0_13)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f928])).
% 13.90/3.13 thf(f928,plain,(
% 13.90/3.13 ($false = (hollywood @ sK14 @ mactual)) | ($true = $false) | ((city @ sK14 @ mactual) = $false) | (~spl0_3 | ~spl0_13)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f927,f805])).
% 13.90/3.13 thf(f805,plain,(
% 13.90/3.13 ((eiw_di @ sK14 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f803])).
% 13.90/3.13 thf(f927,plain,(
% 13.90/3.13 ((eiw_di @ sK14 @ mactual) = $false) | ($false = (hollywood @ sK14 @ mactual)) | ((city @ sK14 @ mactual) = $false) | (~spl0_3 | ~spl0_13)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f925])).
% 13.90/3.13 thf(f925,plain,(
% 13.90/3.13 ((city @ sK14 @ mactual) = $false) | ($false = (hollywood @ sK14 @ mactual)) | ((eiw_di @ sK14 @ mactual) = $false) | ($true = $false) | (~spl0_3 | ~spl0_13)),
% 13.90/3.13 inference(superposition,[status(thm)],[f872,f645])).
% 13.90/3.13 thf(f645,plain,(
% 13.90/3.13 ( ! [X1 : $i] : (((in @ sK15 @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual))) ) | ~spl0_13),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f644])).
% 13.90/3.13 thf(f644,definition,(
% 13.90/3.13 spl0_13 <=> ! [X1 : $i] : (((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((in @ sK15 @ X1 @ mactual) = $false))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
% 13.90/3.13 thf(f872,plain,(
% 13.90/3.13 ($true = (in @ sK15 @ sK14 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f871])).
% 13.90/3.13 thf(f846,plain,(
% 13.90/3.13 ($true = (hollywood @ sK14 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f845])).
% 13.90/3.13 thf(f914,plain,(
% 13.90/3.13 ~spl0_3 | ~spl0_14),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f913])).
% 13.90/3.13 thf(f913,plain,(
% 13.90/3.13 $false | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f912])).
% 13.90/3.13 thf(f912,plain,(
% 13.90/3.13 ($true = $false) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(backward_demodulation,[status(thm)],[f862,f911])).
% 13.90/3.13 thf(f911,plain,(
% 13.90/3.13 ((white @ sK17 @ mactual) = $false) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f910])).
% 13.90/3.13 thf(f910,plain,(
% 13.90/3.13 ($true = $false) | ((white @ sK17 @ mactual) = $false) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f909,f864])).
% 13.90/3.13 thf(f864,plain,(
% 13.90/3.13 ($true = (dirty @ sK17 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f863])).
% 13.90/3.13 thf(f909,plain,(
% 13.90/3.13 ($false = (dirty @ sK17 @ mactual)) | ((white @ sK17 @ mactual) = $false) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f908])).
% 13.90/3.13 thf(f908,plain,(
% 13.90/3.13 ((white @ sK17 @ mactual) = $false) | ($true = $false) | ($false = (dirty @ sK17 @ mactual)) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f907,f860])).
% 13.90/3.13 thf(f860,plain,(
% 13.90/3.13 ($true = (car @ sK17 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f859])).
% 13.90/3.13 thf(f907,plain,(
% 13.90/3.13 ((car @ sK17 @ mactual) = $false) | ((white @ sK17 @ mactual) = $false) | ($false = (dirty @ sK17 @ mactual)) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f906])).
% 13.90/3.13 thf(f906,plain,(
% 13.90/3.13 ((white @ sK17 @ mactual) = $false) | ($false = (dirty @ sK17 @ mactual)) | ((car @ sK17 @ mactual) = $false) | ($true = $false) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f905,f866])).
% 13.90/3.13 thf(f866,plain,(
% 13.90/3.13 ($true = (old @ sK17 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f865])).
% 13.90/3.13 thf(f905,plain,(
% 13.90/3.13 ((white @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ($false = (dirty @ sK17 @ mactual)) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f904])).
% 13.90/3.13 thf(f904,plain,(
% 13.90/3.13 ((car @ sK17 @ mactual) = $false) | ($true = $false) | ((white @ sK17 @ mactual) = $false) | ($false = (dirty @ sK17 @ mactual)) | ((old @ sK17 @ mactual) = $false) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f903,f817])).
% 13.90/3.13 thf(f817,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK17 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f815])).
% 13.90/3.13 thf(f903,plain,(
% 13.90/3.13 ((eiw_di @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ((white @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | ($false = (dirty @ sK17 @ mactual)) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f902])).
% 13.90/3.13 thf(f902,plain,(
% 13.90/3.13 ($false = (dirty @ sK17 @ mactual)) | ((car @ sK17 @ mactual) = $false) | ((white @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | ((eiw_di @ sK17 @ mactual) = $false) | ($true = $false) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f901,f858])).
% 13.90/3.13 thf(f858,plain,(
% 13.90/3.13 ($true = (chevy @ sK17 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f857])).
% 13.90/3.13 thf(f901,plain,(
% 13.90/3.13 ((chevy @ sK17 @ mactual) = $false) | ((eiw_di @ sK17 @ mactual) = $false) | ((white @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | ($false = (dirty @ sK17 @ mactual)) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f899])).
% 13.90/3.13 thf(f899,plain,(
% 13.90/3.13 ((car @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | ($true = $false) | ((white @ sK17 @ mactual) = $false) | ((chevy @ sK17 @ mactual) = $false) | ($false = (dirty @ sK17 @ mactual)) | ((eiw_di @ sK17 @ mactual) = $false) | (~spl0_3 | ~spl0_14)),
% 13.90/3.13 inference(superposition,[status(thm)],[f648,f868])).
% 13.90/3.13 thf(f868,plain,(
% 13.90/3.13 ((barrel @ sK15 @ sK17 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f867])).
% 13.90/3.13 thf(f648,plain,(
% 13.90/3.13 ( ! [X0 : $i] : (((barrel @ sK15 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((car @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false)) ) | ~spl0_14),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f647])).
% 13.90/3.13 thf(f647,definition,(
% 13.90/3.13 spl0_14 <=> ! [X0 : $i] : (((white @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((old @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition])).
% 13.90/3.13 thf(f862,plain,(
% 13.90/3.13 ((white @ sK17 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f861])).
% 13.90/3.13 thf(f789,plain,(
% 13.90/3.13 spl0_1 | ~spl0_8),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f788])).
% 13.90/3.13 thf(f788,plain,(
% 13.90/3.13 $false | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f787])).
% 13.90/3.13 thf(f787,plain,(
% 13.90/3.13 ($true = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(backward_demodulation,[status(thm)],[f729,f786])).
% 13.90/3.13 thf(f786,plain,(
% 13.90/3.13 ((white @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f785])).
% 13.90/3.13 thf(f785,plain,(
% 13.90/3.13 ((white @ sK6 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f784,f733])).
% 13.90/3.13 thf(f733,plain,(
% 13.90/3.13 ((old @ sK6 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f732])).
% 13.90/3.13 thf(f732,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f730])).
% 13.90/3.13 thf(f730,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f728])).
% 13.90/3.13 thf(f728,plain,(
% 13.90/3.13 (((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f726])).
% 13.90/3.13 thf(f726,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f724])).
% 13.90/3.13 thf(f724,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f722])).
% 13.90/3.13 thf(f722,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f720])).
% 13.90/3.13 thf(f720,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f718])).
% 13.90/3.13 thf(f718,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f716])).
% 13.90/3.13 thf(f716,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f714])).
% 13.90/3.13 thf(f714,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f712])).
% 13.90/3.13 thf(f712,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f710])).
% 13.90/3.13 thf(f710,plain,(
% 13.90/3.13 ((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f708])).
% 13.90/3.13 thf(f708,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f705])).
% 13.90/3.13 thf(f705,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f704])).
% 13.90/3.13 thf(f704,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK11 @ mactual) & (((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f703])).
% 13.90/3.13 thf(f703,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))) @ sK11)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f701])).
% 13.90/3.13 thf(f701,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f700])).
% 13.90/3.13 thf(f700,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK10 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f699])).
% 13.90/3.13 thf(f699,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))) @ sK10)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f697])).
% 13.90/3.13 thf(f697,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f696])).
% 13.90/3.13 thf(f696,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f695])).
% 13.90/3.13 thf(f695,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))) @ sK9)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f693])).
% 13.90/3.13 thf(f693,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f692])).
% 13.90/3.13 thf(f692,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f691])).
% 13.90/3.13 thf(f691,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))) @ sK8)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f689])).
% 13.90/3.13 thf(f689,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f688])).
% 13.90/3.13 thf(f688,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK7 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f687])).
% 13.90/3.13 thf(f687,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))) @ sK7)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f685])).
% 13.90/3.13 thf(f685,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f684])).
% 13.90/3.13 thf(f684,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK6 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f683])).
% 13.90/3.13 thf(f683,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))) @ sK6)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f681])).
% 13.90/3.13 thf(f681,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f680])).
% 13.90/3.13 thf(f680,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK5 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f679])).
% 13.90/3.13 thf(f679,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))) @ sK5) = $true) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f677])).
% 13.90/3.13 thf(f677,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f676])).
% 13.90/3.13 thf(f676,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK4 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f675])).
% 13.90/3.13 thf(f675,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))) @ sK4)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f673])).
% 13.90/3.13 thf(f673,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f672])).
% 13.90/3.13 thf(f672,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK3 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f671])).
% 13.90/3.13 thf(f671,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))) @ sK3)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f669])).
% 13.90/3.13 thf(f669,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f668])).
% 13.90/3.13 thf(f668,plain,(
% 13.90/3.13 (((eiw_di @ sK2 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))))) = $true) | spl0_1),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f667])).
% 13.90/3.13 thf(f667,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))) @ sK2)) | spl0_1),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f220])).
% 13.90/3.13 thf(f784,plain,(
% 13.90/3.13 ((white @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f783])).
% 13.90/3.13 thf(f783,plain,(
% 13.90/3.13 ((white @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f782,f727])).
% 13.90/3.13 thf(f727,plain,(
% 13.90/3.13 ($true = (car @ sK6 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f726])).
% 13.90/3.13 thf(f782,plain,(
% 13.90/3.13 ((white @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f781])).
% 13.90/3.13 thf(f781,plain,(
% 13.90/3.13 ((car @ sK6 @ mactual) = $false) | ($true = $false) | ((white @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f780,f725])).
% 13.90/3.13 thf(f725,plain,(
% 13.90/3.13 ($true = (chevy @ sK6 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f724])).
% 13.90/3.13 thf(f780,plain,(
% 13.90/3.13 ((white @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f779])).
% 13.90/3.13 thf(f779,plain,(
% 13.90/3.13 ((old @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ($true = $false) | ((chevy @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f778,f731])).
% 13.90/3.13 thf(f731,plain,(
% 13.90/3.13 ($true = (dirty @ sK6 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f730])).
% 13.90/3.13 thf(f778,plain,(
% 13.90/3.13 ((dirty @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f777])).
% 13.90/3.13 thf(f777,plain,(
% 13.90/3.13 ((chevy @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | ($true = $false) | ((white @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f776,f686])).
% 13.90/3.13 thf(f686,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK6 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f684])).
% 13.90/3.13 thf(f776,plain,(
% 13.90/3.13 ((eiw_di @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f773])).
% 13.90/3.13 thf(f773,plain,(
% 13.90/3.13 ((chevy @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ($true = $false) | ((white @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 13.90/3.13 inference(superposition,[status(thm)],[f741,f430])).
% 13.90/3.13 thf(f430,plain,(
% 13.90/3.13 ( ! [X1 : $i] : (((barrel @ sK5 @ X1 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((white @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false)) ) | ~spl0_8),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f429])).
% 13.90/3.13 thf(f429,definition,(
% 13.90/3.13 spl0_8 <=> ! [X1 : $i] : (($false = (dirty @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ((old @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 13.90/3.13 thf(f741,plain,(
% 13.90/3.13 ((barrel @ sK5 @ sK6 @ mactual) = $true) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f740])).
% 13.90/3.13 thf(f740,plain,(
% 13.90/3.13 ($true = ((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f738])).
% 13.90/3.13 thf(f738,plain,(
% 13.90/3.13 ($true = (((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f736])).
% 13.90/3.13 thf(f736,plain,(
% 13.90/3.13 ($true = ((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f734])).
% 13.90/3.13 thf(f734,plain,(
% 13.90/3.13 ($true = (((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual))) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f732])).
% 13.90/3.13 thf(f729,plain,(
% 13.90/3.13 ($true = (white @ sK6 @ mactual)) | spl0_1),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f728])).
% 13.90/3.13 thf(f665,plain,(
% 13.90/3.13 ~spl0_1 | ~spl0_2),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f664])).
% 13.90/3.13 thf(f664,plain,(
% 13.90/3.13 $false | (~spl0_1 | ~spl0_2)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f663])).
% 13.90/3.13 thf(f663,plain,(
% 13.90/3.13 ($true = $false) | (~spl0_1 | ~spl0_2)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f225,f221])).
% 13.90/3.13 thf(f225,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f223])).
% 13.90/3.13 thf(f223,definition,(
% 13.90/3.13 spl0_2 <=> ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 13.90/3.13 thf(f662,plain,(
% 13.90/3.13 spl0_14 | spl0_13 | ~spl0_3 | ~spl0_5),
% 13.90/3.13 inference(avatar_split_clause,[status(thm)],[f661,f403,f228,f644,f647])).
% 13.90/3.13 thf(f661,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((barrel @ sK15 @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((old @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f660])).
% 13.90/3.13 thf(f660,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (city @ X1 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ($true = $false) | ((in @ sK15 @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f659,f585])).
% 13.90/3.13 thf(f585,plain,(
% 13.90/3.13 ($true = (lonely @ sK16 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f584])).
% 13.90/3.13 thf(f584,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f582])).
% 13.90/3.13 thf(f582,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f580])).
% 13.90/3.13 thf(f580,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f578])).
% 13.90/3.13 thf(f578,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f576])).
% 13.90/3.13 thf(f576,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f574])).
% 13.90/3.13 thf(f574,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f572])).
% 13.90/3.13 thf(f572,plain,(
% 13.90/3.13 (((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f570])).
% 13.90/3.13 thf(f570,plain,(
% 13.90/3.13 ((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f568])).
% 13.90/3.13 thf(f568,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f566])).
% 13.90/3.13 thf(f566,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f564])).
% 13.90/3.13 thf(f564,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f561])).
% 13.90/3.13 thf(f561,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f560])).
% 13.90/3.13 thf(f560,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK21 @ mactual) & (((((((((((((((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f559])).
% 13.90/3.13 thf(f559,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y0 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))) @ sK21) = $true) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f557])).
% 13.90/3.13 thf(f557,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y0 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f556])).
% 13.90/3.13 thf(f556,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK20 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y0 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f555])).
% 13.90/3.13 thf(f555,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y1 @ mactual)) & (in @ Y0 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y0 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))) @ sK20)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f553])).
% 13.90/3.13 thf(f553,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y1 @ mactual)) & (in @ Y0 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y0 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f552])).
% 13.90/3.13 thf(f552,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK19 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK13 @ mactual) & (qmltpeq @ sK19 @ Y1 @ mactual)) & (in @ Y0 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y0 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f551])).
% 13.90/3.13 thf(f551,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK13 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ Y0 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))) @ sK19) = $true) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f549])).
% 13.90/3.13 thf(f549,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK13 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ Y0 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f548])).
% 13.90/3.13 thf(f548,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK18 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK13 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ Y0 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f547])).
% 13.90/3.13 thf(f547,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK13 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK12 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))) @ sK18)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f545])).
% 13.90/3.13 thf(f545,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK13 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK12 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f544])).
% 13.90/3.13 thf(f544,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK17 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK13 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK12 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f543])).
% 13.90/3.13 thf(f543,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK13 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK12 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))) @ sK17) = $true) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f541])).
% 13.90/3.13 thf(f541,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK13 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK12 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f540])).
% 13.90/3.13 thf(f540,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK16 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK13 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK12 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ sK16 @ mactual)) & (way @ sK16 @ mactual)) & (street @ sK16 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f539])).
% 13.90/3.13 thf(f539,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK13 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK12 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ Y0 @ mactual)) & (barrel @ sK15 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))) @ sK16) = $true) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f537])).
% 13.90/3.13 thf(f537,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK13 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK12 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ Y0 @ mactual)) & (barrel @ sK15 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f536])).
% 13.90/3.13 thf(f536,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK15 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK13 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK12 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ Y0 @ mactual)) & (barrel @ sK15 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ sK15 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f535])).
% 13.90/3.13 thf(f535,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK13 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK12 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK14 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))) @ sK15)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f533])).
% 13.90/3.13 thf(f533,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK13 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK12 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK14 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f532])).
% 13.90/3.13 thf(f532,plain,(
% 13.90/3.13 (((eiw_di @ sK14 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK13 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK12 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK14 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK14 @ mactual)) & (hollywood @ sK14 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))) = $true) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f531])).
% 13.90/3.13 thf(f531,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK13 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK12 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))))))))) @ sK14)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f529])).
% 13.90/3.13 thf(f529,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK13 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK12 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f528])).
% 13.90/3.13 thf(f528,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK13 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK13 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK12 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK13 @ mactual)) & (furniture @ sK13 @ mactual)) & (seat @ sK13 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f527])).
% 13.90/3.13 thf(f527,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK12 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))))))) @ sK13)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f525])).
% 13.90/3.13 thf(f525,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK12 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual)))))))))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f524])).
% 13.90/3.13 thf(f524,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK12 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK12 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK12 @ mactual)) & (furniture @ sK12 @ mactual)) & (seat @ sK12 @ mactual))))))))))))))))))))))))))))))) | ~spl0_3),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f523])).
% 13.90/3.13 thf(f523,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))) @ sK12)) | ~spl0_3),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f230])).
% 13.90/3.13 thf(f659,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((hollywood @ X1 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((lonely @ sK16 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f658])).
% 13.90/3.13 thf(f658,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((in @ sK15 @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((lonely @ sK16 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ($false = (dirty @ X0 @ mactual)) | ((old @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f657,f538])).
% 13.90/3.13 thf(f538,plain,(
% 13.90/3.13 ((eiw_di @ sK15 @ mactual) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f536])).
% 13.90/3.13 thf(f657,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK15 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((lonely @ sK16 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f656])).
% 13.90/3.13 thf(f656,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((car @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((white @ X0 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((in @ sK15 @ X1 @ mactual) = $false) | ($true = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f655,f579])).
% 13.90/3.13 thf(f579,plain,(
% 13.90/3.13 ($true = (event @ sK15 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f578])).
% 13.90/3.13 thf(f655,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((event @ sK15 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ((old @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f654])).
% 13.90/3.13 thf(f654,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((barrel @ sK15 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ($true = $false) | ((event @ sK15 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f653,f581])).
% 13.90/3.13 thf(f581,plain,(
% 13.90/3.13 ($true = (street @ sK16 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f580])).
% 13.90/3.13 thf(f653,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((street @ sK16 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((lonely @ sK16 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f652])).
% 13.90/3.13 thf(f652,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((car @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ($true = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((event @ sK15 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f651,f583])).
% 13.90/3.13 thf(f583,plain,(
% 13.90/3.13 ($true = (way @ sK16 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f582])).
% 13.90/3.13 thf(f651,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((car @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((old @ X0 @ mactual) = $false) | ($false = (way @ sK16 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((street @ sK16 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f650])).
% 13.90/3.13 thf(f650,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (dirty @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((car @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ($false = (way @ sK16 @ mactual)) | ((white @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f629,f542])).
% 13.90/3.13 thf(f542,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK16 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f540])).
% 13.90/3.13 thf(f629,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ sK16 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ($false = (way @ sK16 @ mactual)) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((event @ sK15 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((lonely @ sK16 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f627])).
% 13.90/3.13 thf(f627,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ($false = (dirty @ X0 @ mactual)) | ((lonely @ sK16 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (way @ sK16 @ mactual)) | ((street @ sK16 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ($false = (eiw_di @ sK16 @ mactual)) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 13.90/3.13 inference(superposition,[status(thm)],[f599,f404])).
% 13.90/3.13 thf(f404,plain,(
% 13.90/3.13 ( ! [X3 : $i,X6 : $i,X4 : $i,X5 : $i] : (((down @ X4 @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual))) ) | ~spl0_5),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f403])).
% 13.90/3.13 thf(f599,plain,(
% 13.90/3.13 ($true = (down @ sK15 @ sK16 @ mactual)) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f598])).
% 13.90/3.13 thf(f598,plain,(
% 13.90/3.13 ($true = (((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f596])).
% 13.90/3.13 thf(f596,plain,(
% 13.90/3.13 (((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) = $true) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f594])).
% 13.90/3.13 thf(f594,plain,(
% 13.90/3.13 ($true = (((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f592])).
% 13.90/3.13 thf(f592,plain,(
% 13.90/3.13 ($true = ((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f590])).
% 13.90/3.13 thf(f590,plain,(
% 13.90/3.13 ($true = (((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f588])).
% 13.90/3.13 thf(f588,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f586])).
% 13.90/3.13 thf(f586,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((in @ sK21 @ sK13 @ mactual) & (qmltpeq @ sK19 @ sK21 @ mactual)) & (in @ sK20 @ sK12 @ mactual)) & (qmltpeq @ sK18 @ sK20 @ mactual)) & (young @ sK19 @ mactual)) & (man @ sK19 @ mactual)) & (fellow @ sK19 @ mactual)) & (young @ sK18 @ mactual)) & (man @ sK18 @ mactual)) & (fellow @ sK18 @ mactual)) & (~ (qmltpeq @ sK18 @ sK19 @ mactual))) & (in @ sK15 @ sK14 @ mactual)) & (down @ sK15 @ sK16 @ mactual)) & (barrel @ sK15 @ sK17 @ mactual)) & (old @ sK17 @ mactual)) & (dirty @ sK17 @ mactual)) & (white @ sK17 @ mactual)) & (car @ sK17 @ mactual)) & (chevy @ sK17 @ mactual))) | ~spl0_3),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f584])).
% 13.90/3.13 thf(f515,plain,(
% 13.90/3.13 ~spl0_2 | ~spl0_7),
% 13.90/3.13 inference(avatar_contradiction_clause,[status(thm)],[f514])).
% 13.90/3.13 thf(f514,plain,(
% 13.90/3.13 $false | (~spl0_2 | ~spl0_7)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f513])).
% 13.90/3.13 thf(f513,plain,(
% 13.90/3.13 ($true = $false) | (~spl0_2 | ~spl0_7)),
% 13.90/3.13 inference(backward_demodulation,[status(thm)],[f295,f512])).
% 13.90/3.13 thf(f512,plain,(
% 13.90/3.13 ((hollywood @ sK4 @ mactual) = $false) | (~spl0_2 | ~spl0_7)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f511])).
% 13.90/3.13 thf(f511,plain,(
% 13.90/3.13 ((hollywood @ sK4 @ mactual) = $false) | ($true = $false) | (~spl0_2 | ~spl0_7)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f510,f297])).
% 13.90/3.13 thf(f297,plain,(
% 13.90/3.13 ((city @ sK4 @ mactual) = $true) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f296])).
% 13.90/3.13 thf(f296,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f294])).
% 13.90/3.13 thf(f294,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f292])).
% 13.90/3.13 thf(f292,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f290])).
% 13.90/3.13 thf(f290,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f288])).
% 13.90/3.13 thf(f288,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f286])).
% 13.90/3.13 thf(f286,plain,(
% 13.90/3.13 ((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) = $true) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f284])).
% 13.90/3.13 thf(f284,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f281])).
% 13.90/3.13 thf(f281,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f280])).
% 13.90/3.13 thf(f280,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK11 @ mactual) & (((((((((((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f279])).
% 13.90/3.13 thf(f279,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))) @ sK11)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f277])).
% 13.90/3.13 thf(f277,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f276])).
% 13.90/3.13 thf(f276,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK10 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y0 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f275])).
% 13.90/3.13 thf(f275,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))) @ sK10)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f273])).
% 13.90/3.13 thf(f273,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))) = $true) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f272])).
% 13.90/3.13 thf(f272,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ sK3 @ mactual) & (qmltpeq @ sK9 @ Y1 @ mactual)) & (in @ Y0 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y0 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f271])).
% 13.90/3.13 thf(f271,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))) @ sK9)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f269])).
% 13.90/3.13 thf(f269,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))) = $true) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f268])).
% 13.90/3.13 thf(f268,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ sK3 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ Y0 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f267])).
% 13.90/3.13 thf(f267,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))) @ sK8)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f265])).
% 13.90/3.13 thf(f265,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f264])).
% 13.90/3.13 thf(f264,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK7 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ sK3 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ sK2 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f263])).
% 13.90/3.13 thf(f263,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))) @ sK7)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f261])).
% 13.90/3.13 thf(f261,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f260])).
% 13.90/3.13 thf(f260,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK6 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ sK3 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ sK2 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y0 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f259])).
% 13.90/3.13 thf(f259,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))) @ sK6)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f257])).
% 13.90/3.13 thf(f257,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f256])).
% 13.90/3.13 thf(f256,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK5 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ sK3 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ sK2 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ Y1 @ mactual)) & (barrel @ sK5 @ Y0 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (event @ sK5 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f255])).
% 13.90/3.13 thf(f255,plain,(
% 13.90/3.13 (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))) @ sK5) = $true) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f253])).
% 13.90/3.13 thf(f253,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f252])).
% 13.90/3.13 thf(f252,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK4 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ sK3 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ sK2 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ sK4 @ mactual)) & (down @ Y0 @ Y2 @ mactual)) & (barrel @ Y0 @ Y1 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ sK4 @ mactual)) & (hollywood @ sK4 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f251])).
% 13.90/3.13 thf(f251,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))) @ sK4)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f249])).
% 13.90/3.13 thf(f249,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual))))))))))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f248])).
% 13.90/3.13 thf(f248,plain,(
% 13.90/3.13 ($true = ((eiw_di @ sK3 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ sK3 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ sK2 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y3 @ mactual)) & (barrel @ Y1 @ Y2 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ sK3 @ mactual)) & (furniture @ sK3 @ mactual)) & (seat @ sK3 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f247])).
% 13.90/3.13 thf(f247,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))) @ sK3)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f242])).
% 13.90/3.13 thf(f242,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f241])).
% 13.90/3.13 thf(f241,plain,(
% 13.90/3.13 (((eiw_di @ sK2 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ sK2 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y4 @ mactual)) & (barrel @ Y2 @ Y3 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ sK2 @ mactual)) & (furniture @ sK2 @ mactual)) & (seat @ sK2 @ mactual)))))))))))))))))))))))))))))) = $true) | ~spl0_2),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f240])).
% 13.90/3.13 thf(f240,plain,(
% 13.90/3.13 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))) @ sK2)) | ~spl0_2),
% 13.90/3.13 inference(sigma_clausification,[status(thm)],[f225])).
% 13.90/3.13 thf(f510,plain,(
% 13.90/3.13 ((hollywood @ sK4 @ mactual) = $false) | ((city @ sK4 @ mactual) = $false) | (~spl0_2 | ~spl0_7)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f509])).
% 13.90/3.13 thf(f509,plain,(
% 13.90/3.13 ((city @ sK4 @ mactual) = $false) | ($true = $false) | ((hollywood @ sK4 @ mactual) = $false) | (~spl0_2 | ~spl0_7)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f508,f254])).
% 13.90/3.13 thf(f254,plain,(
% 13.90/3.13 ((eiw_di @ sK4 @ mactual) = $true) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f252])).
% 13.90/3.13 thf(f508,plain,(
% 13.90/3.13 ((eiw_di @ sK4 @ mactual) = $false) | ((hollywood @ sK4 @ mactual) = $false) | ((city @ sK4 @ mactual) = $false) | (~spl0_2 | ~spl0_7)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f506])).
% 13.90/3.13 thf(f506,plain,(
% 13.90/3.13 ((city @ sK4 @ mactual) = $false) | ((eiw_di @ sK4 @ mactual) = $false) | ($true = $false) | ((hollywood @ sK4 @ mactual) = $false) | (~spl0_2 | ~spl0_7)),
% 13.90/3.13 inference(superposition,[status(thm)],[f321,f427])).
% 13.90/3.13 thf(f427,plain,(
% 13.90/3.13 ( ! [X0 : $i] : (((in @ sK5 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ($false = (hollywood @ X0 @ mactual))) ) | ~spl0_7),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f426])).
% 13.90/3.13 thf(f426,definition,(
% 13.90/3.13 spl0_7 <=> ! [X0 : $i] : (((city @ X0 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false) | ($false = (hollywood @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false))),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 13.90/3.13 thf(f321,plain,(
% 13.90/3.13 ($true = (in @ sK5 @ sK4 @ mactual)) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f320])).
% 13.90/3.13 thf(f320,plain,(
% 13.90/3.13 ($true = ((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f318])).
% 13.90/3.13 thf(f318,plain,(
% 13.90/3.13 ((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) = $true) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f316])).
% 13.90/3.13 thf(f316,plain,(
% 13.90/3.13 ($true = ((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f314])).
% 13.90/3.13 thf(f314,plain,(
% 13.90/3.13 ($true = (((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f312])).
% 13.90/3.13 thf(f312,plain,(
% 13.90/3.13 ($true = ((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f310])).
% 13.90/3.13 thf(f310,plain,(
% 13.90/3.13 ($true = (((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f308])).
% 13.90/3.13 thf(f308,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f306])).
% 13.90/3.13 thf(f306,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f304])).
% 13.90/3.13 thf(f304,plain,(
% 13.90/3.13 (((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) = $true) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f302])).
% 13.90/3.13 thf(f302,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f300])).
% 13.90/3.13 thf(f300,plain,(
% 13.90/3.13 ($true = ((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f298])).
% 13.90/3.13 thf(f298,plain,(
% 13.90/3.13 ($true = (((((((((((((((((((((((in @ sK11 @ sK3 @ mactual) & (qmltpeq @ sK9 @ sK11 @ mactual)) & (in @ sK10 @ sK2 @ mactual)) & (qmltpeq @ sK8 @ sK10 @ mactual)) & (young @ sK9 @ mactual)) & (man @ sK9 @ mactual)) & (fellow @ sK9 @ mactual)) & (young @ sK8 @ mactual)) & (man @ sK8 @ mactual)) & (fellow @ sK8 @ mactual)) & (~ (qmltpeq @ sK8 @ sK9 @ mactual))) & (in @ sK5 @ sK4 @ mactual)) & (down @ sK5 @ sK7 @ mactual)) & (barrel @ sK5 @ sK6 @ mactual)) & (lonely @ sK7 @ mactual)) & (way @ sK7 @ mactual)) & (street @ sK7 @ mactual)) & (old @ sK6 @ mactual)) & (dirty @ sK6 @ mactual)) & (white @ sK6 @ mactual)) & (car @ sK6 @ mactual)) & (chevy @ sK6 @ mactual)) & (event @ sK5 @ mactual))) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f296])).
% 13.90/3.13 thf(f295,plain,(
% 13.90/3.13 ($true = (hollywood @ sK4 @ mactual)) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f294])).
% 13.90/3.13 thf(f444,plain,(
% 13.90/3.13 spl0_8 | spl0_7 | ~spl0_2 | ~spl0_5),
% 13.90/3.13 inference(avatar_split_clause,[status(thm)],[f443,f403,f223,f426,f429])).
% 13.90/3.13 thf(f443,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((barrel @ sK5 @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ($false = (hollywood @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ((old @ X1 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false)) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f442])).
% 13.90/3.13 thf(f442,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (car @ X1 @ mactual)) | ($false = (hollywood @ X0 @ mactual)) | ((city @ X0 @ mactual) = $false) | ($true = $false) | ((white @ X1 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((old @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false)) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f441,f299])).
% 13.90/3.13 thf(f299,plain,(
% 13.90/3.13 ($true = (event @ sK5 @ mactual)) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f298])).
% 13.90/3.13 thf(f441,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (hollywood @ X0 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ((white @ X1 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ($false = (event @ sK5 @ mactual)) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (car @ X1 @ mactual))) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f440])).
% 13.90/3.13 thf(f440,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((in @ sK5 @ X0 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((old @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (hollywood @ X0 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ($false = (event @ sK5 @ mactual)) | ($false = (car @ X1 @ mactual))) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f439,f313])).
% 13.90/3.13 thf(f313,plain,(
% 13.90/3.13 ($true = (way @ sK7 @ mactual)) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f312])).
% 13.90/3.13 thf(f439,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((way @ sK7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (hollywood @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ((white @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ($false = (event @ sK5 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f438])).
% 13.90/3.13 thf(f438,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (hollywood @ X0 @ mactual)) | ((in @ sK5 @ X0 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ($false = (event @ sK5 @ mactual)) | ((way @ sK7 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ($true = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false)) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f437,f315])).
% 13.90/3.13 thf(f315,plain,(
% 13.90/3.13 ($true = (lonely @ sK7 @ mactual)) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f314])).
% 13.90/3.13 thf(f437,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((lonely @ sK7 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((in @ sK5 @ X0 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ($false = (hollywood @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ($false = (event @ sK5 @ mactual))) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f436])).
% 13.90/3.13 thf(f436,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (hollywood @ X0 @ mactual)) | ((city @ X0 @ mactual) = $false) | ($true = $false) | ((white @ X1 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ($false = (event @ sK5 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false)) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f435,f266])).
% 13.90/3.13 thf(f266,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK7 @ mactual)) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f264])).
% 13.90/3.13 thf(f435,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((in @ sK5 @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ($false = (event @ sK5 @ mactual)) | ($false = (hollywood @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual))) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f434])).
% 13.90/3.13 thf(f434,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (hollywood @ X0 @ mactual)) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ($false = (dirty @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ($true = $false) | ((way @ sK7 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false) | ($false = (event @ sK5 @ mactual))) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f433,f311])).
% 13.90/3.13 thf(f311,plain,(
% 13.90/3.13 ($true = (street @ sK7 @ mactual)) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f310])).
% 13.90/3.13 thf(f433,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (((city @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ($false = (street @ sK7 @ mactual)) | ($false = (event @ sK5 @ mactual)) | ((in @ sK5 @ X0 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((lonely @ sK7 @ mactual) = $false) | ($false = (hollywood @ X0 @ mactual)) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f432])).
% 13.90/3.13 thf(f432,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (car @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (street @ sK7 @ mactual)) | ((eiw_di @ sK7 @ mactual) = $false) | ($false = (hollywood @ X0 @ mactual)) | ((white @ X1 @ mactual) = $false) | ($false = (event @ sK5 @ mactual)) | ((lonely @ sK7 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((city @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ($true = $false) | ((way @ sK7 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false)) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(forward_demodulation,[status(thm)],[f411,f258])).
% 13.90/3.13 thf(f258,plain,(
% 13.90/3.13 ($true = (eiw_di @ sK5 @ mactual)) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f256])).
% 13.90/3.13 thf(f411,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (hollywood @ X0 @ mactual)) | ($false = (car @ X1 @ mactual)) | ((city @ X0 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK5 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (street @ sK7 @ mactual)) | ((old @ X1 @ mactual) = $false) | ((in @ sK5 @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ($false = (event @ sK5 @ mactual))) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(trivial_inequality_removal,[status(thm)],[f410])).
% 13.90/3.13 thf(f410,plain,(
% 13.90/3.13 ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ sK5 @ mactual)) | ((in @ sK5 @ X0 @ mactual) = $false) | ($false = (street @ sK7 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($true = $false) | ((city @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ($false = (car @ X1 @ mactual)) | ($false = (event @ sK5 @ mactual)) | ($false = (hollywood @ X0 @ mactual)) | ((white @ X1 @ mactual) = $false) | ($false = (dirty @ X1 @ mactual)) | ((barrel @ sK5 @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false)) ) | (~spl0_2 | ~spl0_5)),
% 13.90/3.13 inference(superposition,[status(thm)],[f319,f404])).
% 13.90/3.13 thf(f319,plain,(
% 13.90/3.13 ((down @ sK5 @ sK7 @ mactual) = $true) | ~spl0_2),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f318])).
% 13.90/3.13 thf(f408,plain,(
% 13.90/3.13 spl0_5 | spl0_6 | ~spl0_4),
% 13.90/3.13 inference(avatar_split_clause,[status(thm)],[f401,f235,f406,f403])).
% 13.90/3.13 thf(f235,definition,(
% 13.90/3.13 spl0_4 <=> ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $false)),
% 13.90/3.13 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 13.90/3.13 thf(f401,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X7 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ($false = (man @ X7 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ($false = (man @ X8 @ mactual)) | ((way @ X5 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ($false = (in @ X10 @ X2 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((qmltpeq @ X8 @ X10 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (young @ X7 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f400])).
% 13.90/3.13 thf(f400,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((young @ X8 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (man @ X7 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ($false = ((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual))) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (man @ X8 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ((way @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f399])).
% 13.90/3.13 thf(f399,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((white @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (street @ X5 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (man @ X8 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (young @ X7 @ mactual)) | ($false = (car @ X6 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (man @ X7 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual))) | ((front @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f398])).
% 13.90/3.13 thf(f398,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((barrel @ X4 @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((way @ X5 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((eiw_di @ X9 @ mactual) = $false) | (((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) = $false) | ($false = (fellow @ X8 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($false = (man @ X8 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (street @ X5 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((furniture @ X2 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f397])).
% 13.90/3.13 thf(f397,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (man @ X8 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((down @ X4 @ X5 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((event @ X4 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (young @ X7 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f396])).
% 13.90/3.13 thf(f396,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((front @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ($false = (fellow @ X8 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (street @ X5 @ mactual)) | ((white @ X6 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ($false = ((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual))) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (old @ X6 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f395])).
% 13.90/3.13 thf(f395,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (young @ X7 @ mactual)) | ($false = (man @ X7 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ($false = (city @ X3 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((way @ X5 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (car @ X6 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f394])).
% 13.90/3.13 thf(f394,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (car @ X6 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((qmltpeq @ X7 @ X8 @ mactual) = $true) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | (((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ($false = (city @ X3 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(not_proxy_clausification,[status(thm)],[f393])).
% 13.90/3.13 thf(f393,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X10 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (~ (qmltpeq @ X7 @ X8 @ mactual))) | ((front @ X2 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((dirty @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | (((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ($false = (man @ X7 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f392])).
% 13.90/3.13 thf(f392,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (city @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (~ (qmltpeq @ X7 @ X8 @ mactual))) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((way @ X5 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ((fellow @ X7 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f391])).
% 13.90/3.13 thf(f391,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((dirty @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | (((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($false = (~ (qmltpeq @ X7 @ X8 @ mactual))) | ((way @ X5 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((down @ X4 @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((front @ X2 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f390])).
% 13.90/3.13 thf(f390,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((dirty @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f389])).
% 13.90/3.13 thf(f389,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | (((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((lonely @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f388])).
% 13.90/3.13 thf(f388,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((dirty @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ($false = (((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual))) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f387])).
% 13.90/3.13 thf(f387,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((event @ X4 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((dirty @ X6 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f386])).
% 13.90/3.13 thf(f386,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (street @ X5 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ($false = (chevy @ X6 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f385])).
% 13.90/3.13 thf(f385,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = ((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual))) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ((way @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f384])).
% 13.90/3.13 thf(f384,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (car @ X6 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((way @ X5 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (street @ X5 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f383])).
% 13.90/3.13 thf(f383,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (chevy @ X6 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = ((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual))) | ((front @ X2 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f382])).
% 13.90/3.13 thf(f382,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual))) | ((event @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (city @ X3 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f381])).
% 13.90/3.13 thf(f381,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((event @ X4 @ mactual) = $false) | (((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((way @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f380])).
% 13.90/3.13 thf(f380,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (street @ X5 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) = $false) | ((event @ X4 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f379])).
% 13.90/3.13 thf(f379,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (city @ X3 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = ((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual))) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f378])).
% 13.90/3.13 thf(f378,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ($false = (((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual))) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f377])).
% 13.90/3.13 thf(f377,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f376])).
% 13.90/3.13 thf(f376,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f375])).
% 13.90/3.13 thf(f375,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = ((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual))) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f374])).
% 13.90/3.13 thf(f374,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((front @ X1 @ mactual) = $false) | ($false = (((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual))) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f373])).
% 13.90/3.13 thf(f373,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = ((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual))) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f372])).
% 13.90/3.13 thf(f372,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f371])).
% 13.90/3.13 thf(f371,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | (((((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f370])).
% 13.90/3.13 thf(f370,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (((((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f369])).
% 13.90/3.13 thf(f369,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = (eiw_di @ X8 @ mactual)) | (((eiw_di @ X10 @ mactual) & (((((((((((((((((((((((((((((((in @ X10 @ X2 @ mactual) & (qmltpeq @ X8 @ X10 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f368])).
% 13.90/3.13 thf(f368,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ X2 @ mactual) & (qmltpeq @ X8 @ Y0 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))) @ X10)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f367])).
% 13.90/3.13 thf(f367,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ X2 @ mactual) & (qmltpeq @ X8 @ Y0 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f366])).
% 13.90/3.13 thf(f366,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = ((eiw_di @ X9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (((((((((((((((((((((((((((((((in @ Y0 @ X2 @ mactual) & (qmltpeq @ X8 @ Y0 @ mactual)) & (in @ X9 @ X1 @ mactual)) & (qmltpeq @ X7 @ X9 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f365])).
% 13.90/3.13 thf(f365,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ X2 @ mactual) & (qmltpeq @ X8 @ Y1 @ mactual)) & (in @ Y0 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y0 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))) @ X9) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f364])).
% 13.90/3.13 thf(f364,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ X2 @ mactual) & (qmltpeq @ X8 @ Y1 @ mactual)) & (in @ Y0 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y0 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X8 @ mactual)) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f363])).
% 13.90/3.13 thf(f363,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((eiw_di @ X8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (((((((((((((((((((((((((((((((in @ Y1 @ X2 @ mactual) & (qmltpeq @ X8 @ Y1 @ mactual)) & (in @ Y0 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y0 @ mactual)) & (young @ X8 @ mactual)) & (man @ X8 @ mactual)) & (fellow @ X8 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ X8 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f362])).
% 13.90/3.13 thf(f362,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ X2 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ Y0 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))) @ X8))) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f361])).
% 13.90/3.13 thf(f361,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ X2 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ Y0 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f360])).
% 13.90/3.13 thf(f360,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = ((eiw_di @ X7 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (((((((((((((((((((((((((((((((in @ Y2 @ X2 @ mactual) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (in @ Y1 @ X1 @ mactual)) & (qmltpeq @ X7 @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (young @ X7 @ mactual)) & (man @ X7 @ mactual)) & (fellow @ X7 @ mactual)) & (~ (qmltpeq @ X7 @ Y0 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f359])).
% 13.90/3.13 thf(f359,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ X2 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ X1 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))) @ X7) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f358])).
% 13.90/3.13 thf(f358,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ X2 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ X1 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f357])).
% 13.90/3.13 thf(f357,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | (((eiw_di @ X6 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (((((((((((((((((((((((((((((((in @ Y3 @ X2 @ mactual) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (in @ Y2 @ X1 @ mactual)) & (qmltpeq @ Y0 @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (young @ Y0 @ mactual)) & (man @ Y0 @ mactual)) & (fellow @ Y0 @ mactual)) & (~ (qmltpeq @ Y0 @ Y1 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ X6 @ mactual)) & (old @ X6 @ mactual)) & (dirty @ X6 @ mactual)) & (white @ X6 @ mactual)) & (car @ X6 @ mactual)) & (chevy @ X6 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f356])).
% 13.90/3.13 thf(f356,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ X2 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ X1 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))) @ X6) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f355])).
% 13.90/3.13 thf(f355,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ X2 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ X1 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f354])).
% 13.90/3.13 thf(f354,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | (((eiw_di @ X5 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (((((((((((((((((((((((((((((((in @ Y4 @ X2 @ mactual) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (in @ Y3 @ X1 @ mactual)) & (qmltpeq @ Y1 @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (young @ Y1 @ mactual)) & (man @ Y1 @ mactual)) & (fellow @ Y1 @ mactual)) & (~ (qmltpeq @ Y1 @ Y2 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ X5 @ mactual)) & (barrel @ X4 @ Y0 @ mactual)) & (old @ Y0 @ mactual)) & (dirty @ Y0 @ mactual)) & (white @ Y0 @ mactual)) & (car @ Y0 @ mactual)) & (chevy @ Y0 @ mactual)) & (lonely @ X5 @ mactual)) & (way @ X5 @ mactual)) & (street @ X5 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f353])).
% 13.90/3.13 thf(f353,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ X2 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ X1 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y0 @ mactual)) & (barrel @ X4 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))) @ X5))) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f352])).
% 13.90/3.13 thf(f352,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ X2 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ X1 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y0 @ mactual)) & (barrel @ X4 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f351])).
% 13.90/3.13 thf(f351,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | ($false = ((eiw_di @ X4 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (((((((((((((((((((((((((((((((in @ Y5 @ X2 @ mactual) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (in @ Y4 @ X1 @ mactual)) & (qmltpeq @ Y2 @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (young @ Y2 @ mactual)) & (man @ Y2 @ mactual)) & (fellow @ Y2 @ mactual)) & (~ (qmltpeq @ Y2 @ Y3 @ mactual))) & (in @ X4 @ X3 @ mactual)) & (down @ X4 @ Y0 @ mactual)) & (barrel @ X4 @ Y1 @ mactual)) & (old @ Y1 @ mactual)) & (dirty @ Y1 @ mactual)) & (white @ Y1 @ mactual)) & (car @ Y1 @ mactual)) & (chevy @ Y1 @ mactual)) & (lonely @ Y0 @ mactual)) & (way @ Y0 @ mactual)) & (street @ Y0 @ mactual)) & (event @ X4 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f350])).
% 13.90/3.13 thf(f350,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X2 @ mactual)) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ X2 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ X1 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ X3 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))) @ X4) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f349])).
% 13.90/3.13 thf(f349,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ X2 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ X1 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ X3 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))))) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f348])).
% 13.90/3.13 thf(f348,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = ((eiw_di @ X3 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (((((((((((((((((((((((((((((((in @ Y6 @ X2 @ mactual) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (in @ Y5 @ X1 @ mactual)) & (qmltpeq @ Y3 @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (young @ Y3 @ mactual)) & (man @ Y3 @ mactual)) & (fellow @ Y3 @ mactual)) & (~ (qmltpeq @ Y3 @ Y4 @ mactual))) & (in @ Y0 @ X3 @ mactual)) & (down @ Y0 @ Y1 @ mactual)) & (barrel @ Y0 @ Y2 @ mactual)) & (old @ Y2 @ mactual)) & (dirty @ Y2 @ mactual)) & (white @ Y2 @ mactual)) & (car @ Y2 @ mactual)) & (chevy @ Y2 @ mactual)) & (lonely @ Y1 @ mactual)) & (way @ Y1 @ mactual)) & (street @ Y1 @ mactual)) & (event @ Y0 @ mactual)) & (city @ X3 @ mactual)) & (hollywood @ X3 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))))))))) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f347])).
% 13.90/3.13 thf(f347,plain,(
% 13.90/3.13 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ X2 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ X1 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))))))))) @ X3)) | ($false = (eiw_di @ X2 @ mactual))) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f346])).
% 13.90/3.13 thf(f346,plain,(
% 13.90/3.13 ( ! [X2 : $i,X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ X2 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ X1 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))))))))))) | ($false = (eiw_di @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f345])).
% 13.90/3.13 thf(f345,plain,(
% 13.90/3.13 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((eiw_di @ X2 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (((((((((((((((((((((((((((((((in @ Y7 @ X2 @ mactual) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (in @ Y6 @ X1 @ mactual)) & (qmltpeq @ Y4 @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (young @ Y4 @ mactual)) & (man @ Y4 @ mactual)) & (fellow @ Y4 @ mactual)) & (~ (qmltpeq @ Y4 @ Y5 @ mactual))) & (in @ Y1 @ Y0 @ mactual)) & (down @ Y1 @ Y2 @ mactual)) & (barrel @ Y1 @ Y3 @ mactual)) & (old @ Y3 @ mactual)) & (dirty @ Y3 @ mactual)) & (white @ Y3 @ mactual)) & (car @ Y3 @ mactual)) & (chevy @ Y3 @ mactual)) & (lonely @ Y2 @ mactual)) & (way @ Y2 @ mactual)) & (street @ Y2 @ mactual)) & (event @ Y1 @ mactual)) & (city @ Y0 @ mactual)) & (hollywood @ Y0 @ mactual)) & (front @ X2 @ mactual)) & (furniture @ X2 @ mactual)) & (seat @ X2 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))))))))))) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f344])).
% 13.90/3.13 thf(f344,plain,(
% 13.90/3.13 ( ! [X2 : $i,X1 : $i] : (($false = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ X1 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))))))))) @ X2)) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f246])).
% 13.90/3.13 thf(f246,plain,(
% 13.90/3.13 ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ X1 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f245])).
% 13.90/3.13 thf(f245,plain,(
% 13.90/3.13 ( ! [X1 : $i] : (($false = ((eiw_di @ X1 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (((((((((((((((((((((((((((((((in @ Y8 @ Y0 @ mactual) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (in @ Y7 @ X1 @ mactual)) & (qmltpeq @ Y5 @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (young @ Y5 @ mactual)) & (man @ Y5 @ mactual)) & (fellow @ Y5 @ mactual)) & (~ (qmltpeq @ Y5 @ Y6 @ mactual))) & (in @ Y2 @ Y1 @ mactual)) & (down @ Y2 @ Y3 @ mactual)) & (barrel @ Y2 @ Y4 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (lonely @ Y3 @ mactual)) & (way @ Y3 @ mactual)) & (street @ Y3 @ mactual)) & (event @ Y2 @ mactual)) & (city @ Y1 @ mactual)) & (hollywood @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)) & (front @ X1 @ mactual)) & (furniture @ X1 @ mactual)) & (seat @ X1 @ mactual)))))))))))))))))))))))))))))))) ) | ~spl0_4),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f244])).
% 13.90/3.13 thf(f244,plain,(
% 13.90/3.13 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))) @ X1) = $false)) ) | ~spl0_4),
% 13.90/3.13 inference(pi_clausification,[status(thm)],[f237])).
% 13.90/3.13 thf(f237,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $false) | ~spl0_4),
% 13.90/3.13 inference(avatar_component_clause,[status(thm)],[f235])).
% 13.90/3.13 thf(f239,plain,(
% 13.90/3.13 spl0_4 | spl0_1),
% 13.90/3.13 inference(avatar_split_clause,[status(thm)],[f232,f219,f235])).
% 13.90/3.13 thf(f232,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $false)),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f214])).
% 13.90/3.13 thf(f214,plain,(
% 13.90/3.13 ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) = $false)),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 13.90/3.13 thf(f213,plain,(
% 13.90/3.13 (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) = $false)),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f212])).
% 13.90/3.13 thf(f212,plain,(
% 13.90/3.13 ((((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) & ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))))) = $false)),
% 13.90/3.13 inference(not_proxy_clausification,[status(thm)],[f211])).
% 13.90/3.13 thf(f211,plain,(
% 13.90/3.13 ($true = (~ (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) & ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))))))),
% 13.90/3.13 inference(beta_eta_normalization,[status(thm)],[f178])).
% 13.90/3.13 thf(f178,plain,(
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@ $i @ (^[Y10 : $i]: ((eiw_di @ Y10 @ Y9) & (Y8 @ Y10 @ Y9))))))) @ (^[Y8 : $i]: ((^[Y9 : $i > mworld > $o]: ((^[Y10 : mworld]: (?? @ $i @ (^[Y11 : $i]: ((eiw_di @ Y11 @ Y10) & (Y9 @ Y11 @ Y10))))))) @ (^[Y9 : $i]: ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (seat @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (furniture @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (front @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (seat @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (furniture @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (front @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (hollywood @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (city @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (event @ Y3) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (chevy @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (car @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (white @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (dirty @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (old @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (street @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (way @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (lonely @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (barrel @ Y3 @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (down @ Y3 @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (in @ Y3 @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld]: (~ (Y10 @ Y11))))) @ (qmltpeq @ Y6 @ Y7)) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (fellow @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (man @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (young @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (fellow @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (man @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (young @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (qmltpeq @ Y6 @ Y8) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (in @ Y8 @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))) @ ((^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))) @ (^[Y0 : $i]: ((^[Y1 : $i > mworld > $o]: ((^[Y2 : mworld]: (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ Y2) & (Y1 @ Y3 @ Y2))))))) @ (^[Y1 : $i]: ((^[Y2 : $i > mworld > $o]: ((^[Y3 : mworld]: (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ Y3) & (Y2 @ Y4 @ Y3))))))) @ (^[Y2 : $i]: ((^[Y3 : $i > mworld > $o]: ((^[Y4 : mworld]: (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ Y4) & (Y3 @ Y5 @ Y4))))))) @ (^[Y3 : $i]: ((^[Y4 : $i > mworld > $o]: ((^[Y5 : mworld]: (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ Y5) & (Y4 @ Y6 @ Y5))))))) @ (^[Y4 : $i]: ((^[Y5 : $i > mworld > $o]: ((^[Y6 : mworld]: (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ Y6) & (Y5 @ Y7 @ Y6))))))) @ (^[Y5 : $i]: ((^[Y6 : $i > mworld > $o]: ((^[Y7 : mworld]: (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ Y7) & (Y6 @ Y8 @ Y7))))))) @ (^[Y6 : $i]: ((^[Y7 : $i > mworld > $o]: ((^[Y8 : mworld]: (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ Y8) & (Y7 @ Y9 @ Y8))))))) @ (^[Y7 : $i]: ((^[Y8 : $i > mworld > $o]: ((^[Y9 : mworld]: (?? @ $i @ (^[Y10 : $i]: ((eiw_di @ Y10 @ Y9) & (Y8 @ Y10 @ Y9))))))) @ (^[Y8 : $i]: ((^[Y9 : $i > mworld > $o]: ((^[Y10 : mworld]: (?? @ $i @ (^[Y11 : $i]: ((eiw_di @ Y11 @ Y10) & (Y9 @ Y11 @ Y10))))))) @ (^[Y9 : $i]: ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (seat @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (furniture @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (front @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (seat @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (furniture @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (front @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (hollywood @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (city @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (event @ Y3) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (street @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (way @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (lonely @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (chevy @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (car @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (white @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (dirty @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (old @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (barrel @ Y3 @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (down @ Y3 @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (in @ Y3 @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld]: (~ (Y10 @ Y11))))) @ (qmltpeq @ Y6 @ Y7)) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (fellow @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (man @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (young @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (fellow @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (man @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (young @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (qmltpeq @ Y6 @ Y8) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (in @ Y8 @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y11 @ Y12) & (Y10 @ Y12))))))) @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $true)),
% 13.90/3.13 inference(definition_unfolding,[status(thm)],[f146,f154,f143,f122,f131,f131,f131,f131,f131,f131,f131,f131,f131,f131,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f131,f131,f131,f131,f131,f131,f131,f131,f131,f131,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f122,f131,f131,f131,f131,f131,f131,f131,f131,f131,f131,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f131,f131,f131,f131,f131,f131,f131,f131,f131,f131,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143])).
% 13.90/3.13 thf(f149,plain,(
% 13.90/3.13 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 13.90/3.13 inference(cnf_transformation,[status(thm)],[f76])).
% 13.90/3.13 thf(f76,plain,(
% 13.90/3.13 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 13.90/3.13 inference(fool_elimination,[status(thm)],[f75])).
% 13.90/3.13 thf(f75,plain,(
% 13.90/3.13 ((^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))) = mnot)),
% 13.90/3.13 inference(rectify,[status(thm)],[f2])).
% 13.90/3.13 thf(f2,axiom,(
% 13.90/3.13 ((^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))) = mnot)),
% 13.90/3.13 file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mnot_def)).
% 13.90/3.13 thf(f131,plain,(
% 13.90/3.13 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 13.90/3.13 inference(cnf_transformation,[status(thm)],[f53])).
% 13.90/3.13 thf(f53,plain,(
% 13.90/3.13 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 13.90/3.13 inference(fool_elimination,[status(thm)],[f52])).
% 13.90/3.13 thf(f52,plain,(
% 13.90/3.13 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2 : $i] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 13.90/3.13 inference(rectify,[status(thm)],[f12])).
% 13.90/3.13 thf(f12,axiom,(
% 13.90/3.13 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5 : $i] : ((X1 @ X5 @ X2) & (eiw_di @ X5 @ X2)))))),
% 13.90/3.13 file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mexists_di_def)).
% 13.90/3.13 thf(f122,plain,(
% 13.90/3.13 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 13.90/3.13 inference(cnf_transformation,[status(thm)],[f94])).
% 13.90/3.13 thf(f94,plain,(
% 13.90/3.13 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 13.90/3.13 inference(fool_elimination,[status(thm)],[f93])).
% 13.90/3.13 thf(f93,plain,(
% 13.90/3.13 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 13.90/3.13 inference(rectify,[status(thm)],[f5])).
% 13.90/3.13 thf(f5,axiom,(
% 13.90/3.13 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 13.90/3.13 file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mimplies_def)).
% 13.90/3.13 thf(f143,plain,(
% 13.90/3.13 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 13.90/3.13 inference(cnf_transformation,[status(thm)],[f90])).
% 13.90/3.13 thf(f90,plain,(
% 13.90/3.13 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y1 @ Y2) & (Y0 @ Y2))))))))),
% 13.90/3.13 inference(fool_elimination,[status(thm)],[f89])).
% 13.90/3.13 thf(f89,plain,(
% 13.90/3.13 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) & (X1 @ X2))))),
% 13.90/3.13 inference(rectify,[status(thm)],[f3])).
% 13.90/3.13 thf(f3,axiom,(
% 13.90/3.13 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X3 @ X2))))),
% 13.90/3.13 file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mand_def)).
% 13.90/3.13 thf(f154,plain,(
% 13.90/3.13 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 13.90/3.13 inference(cnf_transformation,[status(thm)],[f66])).
% 13.90/3.13 thf(f66,plain,(
% 13.90/3.13 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 13.90/3.13 inference(fool_elimination,[status(thm)],[f1])).
% 13.90/3.13 thf(f1,axiom,(
% 13.90/3.13 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 13.90/3.13 file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',mlocal_def)).
% 13.90/3.13 thf(f146,plain,(
% 13.90/3.13 ($true = (~ (mlocal @ (mand @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mexists_di @ (^[Y4 : $i]: (mexists_di @ (^[Y5 : $i]: (mexists_di @ (^[Y6 : $i]: (mexists_di @ (^[Y7 : $i]: (mexists_di @ (^[Y8 : $i]: (mexists_di @ (^[Y9 : $i]: (mand @ (seat @ Y0) @ (mand @ (furniture @ Y0) @ (mand @ (front @ Y0) @ (mand @ (seat @ Y1) @ (mand @ (furniture @ Y1) @ (mand @ (front @ Y1) @ (mand @ (hollywood @ Y2) @ (mand @ (city @ Y2) @ (mand @ (event @ Y3) @ (mand @ (street @ Y4) @ (mand @ (way @ Y4) @ (mand @ (lonely @ Y4) @ (mand @ (chevy @ Y5) @ (mand @ (car @ Y5) @ (mand @ (white @ Y5) @ (mand @ (dirty @ Y5) @ (mand @ (old @ Y5) @ (mand @ (barrel @ Y3 @ Y5) @ (mand @ (down @ Y3 @ Y4) @ (mand @ (in @ Y3 @ Y2) @ (mand @ (mnot @ (qmltpeq @ Y6 @ Y7)) @ (mand @ (fellow @ Y6) @ (mand @ (man @ Y6) @ (mand @ (young @ Y6) @ (mand @ (fellow @ Y7) @ (mand @ (man @ Y7) @ (mand @ (young @ Y7) @ (mand @ (qmltpeq @ Y6 @ Y8) @ (mand @ (in @ Y8 @ Y0) @ (mand @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mexists_di @ (^[Y4 : $i]: (mexists_di @ (^[Y5 : $i]: (mexists_di @ (^[Y6 : $i]: (mexists_di @ (^[Y7 : $i]: (mexists_di @ (^[Y8 : $i]: (mexists_di @ (^[Y9 : $i]: (mand @ (seat @ Y0) @ (mand @ (furniture @ Y0) @ (mand @ (front @ Y0) @ (mand @ (seat @ Y1) @ (mand @ (furniture @ Y1) @ (mand @ (front @ Y1) @ (mand @ (hollywood @ Y2) @ (mand @ (city @ Y2) @ (mand @ (event @ Y3) @ (mand @ (chevy @ Y4) @ (mand @ (car @ Y4) @ (mand @ (white @ Y4) @ (mand @ (dirty @ Y4) @ (mand @ (old @ Y4) @ (mand @ (street @ Y5) @ (mand @ (way @ Y5) @ (mand @ (lonely @ Y5) @ (mand @ (barrel @ Y3 @ Y4) @ (mand @ (down @ Y3 @ Y5) @ (mand @ (in @ Y3 @ Y2) @ (mand @ (mnot @ (qmltpeq @ Y6 @ Y7)) @ (mand @ (fellow @ Y6) @ (mand @ (man @ Y6) @ (mand @ (young @ Y6) @ (mand @ (fellow @ Y7) @ (mand @ (man @ Y7) @ (mand @ (young @ Y7) @ (mand @ (qmltpeq @ Y6 @ Y8) @ (mand @ (in @ Y8 @ Y0) @ (mand @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mexists_di @ (^[Y4 : $i]: (mexists_di @ (^[Y5 : $i]: (mexists_di @ (^[Y6 : $i]: (mexists_di @ (^[Y7 : $i]: (mexists_di @ (^[Y8 : $i]: (mexists_di @ (^[Y9 : $i]: (mand @ (seat @ Y0) @ (mand @ (furniture @ Y0) @ (mand @ (front @ Y0) @ (mand @ (seat @ Y1) @ (mand @ (furniture @ Y1) @ (mand @ (front @ Y1) @ (mand @ (hollywood @ Y2) @ (mand @ (city @ Y2) @ (mand @ (event @ Y3) @ (mand @ (chevy @ Y4) @ (mand @ (car @ Y4) @ (mand @ (white @ Y4) @ (mand @ (dirty @ Y4) @ (mand @ (old @ Y4) @ (mand @ (street @ Y5) @ (mand @ (way @ Y5) @ (mand @ (lonely @ Y5) @ (mand @ (barrel @ Y3 @ Y4) @ (mand @ (down @ Y3 @ Y5) @ (mand @ (in @ Y3 @ Y2) @ (mand @ (mnot @ (qmltpeq @ Y6 @ Y7)) @ (mand @ (fellow @ Y6) @ (mand @ (man @ Y6) @ (mand @ (young @ Y6) @ (mand @ (fellow @ Y7) @ (mand @ (man @ Y7) @ (mand @ (young @ Y7) @ (mand @ (qmltpeq @ Y6 @ Y8) @ (mand @ (in @ Y8 @ Y0) @ (mand @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mexists_di @ (^[Y4 : $i]: (mexists_di @ (^[Y5 : $i]: (mexists_di @ (^[Y6 : $i]: (mexists_di @ (^[Y7 : $i]: (mexists_di @ (^[Y8 : $i]: (mexists_di @ (^[Y9 : $i]: (mand @ (seat @ Y0) @ (mand @ (furniture @ Y0) @ (mand @ (front @ Y0) @ (mand @ (seat @ Y1) @ (mand @ (furniture @ Y1) @ (mand @ (front @ Y1) @ (mand @ (hollywood @ Y2) @ (mand @ (city @ Y2) @ (mand @ (event @ Y3) @ (mand @ (street @ Y4) @ (mand @ (way @ Y4) @ (mand @ (lonely @ Y4) @ (mand @ (chevy @ Y5) @ (mand @ (car @ Y5) @ (mand @ (white @ Y5) @ (mand @ (dirty @ Y5) @ (mand @ (old @ Y5) @ (mand @ (barrel @ Y3 @ Y5) @ (mand @ (down @ Y3 @ Y4) @ (mand @ (in @ Y3 @ Y2) @ (mand @ (mnot @ (qmltpeq @ Y6 @ Y7)) @ (mand @ (fellow @ Y6) @ (mand @ (man @ Y6) @ (mand @ (young @ Y6) @ (mand @ (fellow @ Y7) @ (mand @ (man @ Y7) @ (mand @ (young @ Y7) @ (mand @ (qmltpeq @ Y6 @ Y8) @ (mand @ (in @ Y8 @ Y0) @ (mand @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 13.90/3.13 inference(cnf_transformation,[status(thm)],[f72])).
% 13.90/3.13 thf(f72,plain,(
% 13.90/3.13 ($true = (~ (mlocal @ (mand @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mexists_di @ (^[Y4 : $i]: (mexists_di @ (^[Y5 : $i]: (mexists_di @ (^[Y6 : $i]: (mexists_di @ (^[Y7 : $i]: (mexists_di @ (^[Y8 : $i]: (mexists_di @ (^[Y9 : $i]: (mand @ (seat @ Y0) @ (mand @ (furniture @ Y0) @ (mand @ (front @ Y0) @ (mand @ (seat @ Y1) @ (mand @ (furniture @ Y1) @ (mand @ (front @ Y1) @ (mand @ (hollywood @ Y2) @ (mand @ (city @ Y2) @ (mand @ (event @ Y3) @ (mand @ (street @ Y4) @ (mand @ (way @ Y4) @ (mand @ (lonely @ Y4) @ (mand @ (chevy @ Y5) @ (mand @ (car @ Y5) @ (mand @ (white @ Y5) @ (mand @ (dirty @ Y5) @ (mand @ (old @ Y5) @ (mand @ (barrel @ Y3 @ Y5) @ (mand @ (down @ Y3 @ Y4) @ (mand @ (in @ Y3 @ Y2) @ (mand @ (mnot @ (qmltpeq @ Y6 @ Y7)) @ (mand @ (fellow @ Y6) @ (mand @ (man @ Y6) @ (mand @ (young @ Y6) @ (mand @ (fellow @ Y7) @ (mand @ (man @ Y7) @ (mand @ (young @ Y7) @ (mand @ (qmltpeq @ Y6 @ Y8) @ (mand @ (in @ Y8 @ Y0) @ (mand @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mexists_di @ (^[Y4 : $i]: (mexists_di @ (^[Y5 : $i]: (mexists_di @ (^[Y6 : $i]: (mexists_di @ (^[Y7 : $i]: (mexists_di @ (^[Y8 : $i]: (mexists_di @ (^[Y9 : $i]: (mand @ (seat @ Y0) @ (mand @ (furniture @ Y0) @ (mand @ (front @ Y0) @ (mand @ (seat @ Y1) @ (mand @ (furniture @ Y1) @ (mand @ (front @ Y1) @ (mand @ (hollywood @ Y2) @ (mand @ (city @ Y2) @ (mand @ (event @ Y3) @ (mand @ (chevy @ Y4) @ (mand @ (car @ Y4) @ (mand @ (white @ Y4) @ (mand @ (dirty @ Y4) @ (mand @ (old @ Y4) @ (mand @ (street @ Y5) @ (mand @ (way @ Y5) @ (mand @ (lonely @ Y5) @ (mand @ (barrel @ Y3 @ Y4) @ (mand @ (down @ Y3 @ Y5) @ (mand @ (in @ Y3 @ Y2) @ (mand @ (mnot @ (qmltpeq @ Y6 @ Y7)) @ (mand @ (fellow @ Y6) @ (mand @ (man @ Y6) @ (mand @ (young @ Y6) @ (mand @ (fellow @ Y7) @ (mand @ (man @ Y7) @ (mand @ (young @ Y7) @ (mand @ (qmltpeq @ Y6 @ Y8) @ (mand @ (in @ Y8 @ Y0) @ (mand @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mexists_di @ (^[Y4 : $i]: (mexists_di @ (^[Y5 : $i]: (mexists_di @ (^[Y6 : $i]: (mexists_di @ (^[Y7 : $i]: (mexists_di @ (^[Y8 : $i]: (mexists_di @ (^[Y9 : $i]: (mand @ (seat @ Y0) @ (mand @ (furniture @ Y0) @ (mand @ (front @ Y0) @ (mand @ (seat @ Y1) @ (mand @ (furniture @ Y1) @ (mand @ (front @ Y1) @ (mand @ (hollywood @ Y2) @ (mand @ (city @ Y2) @ (mand @ (event @ Y3) @ (mand @ (chevy @ Y4) @ (mand @ (car @ Y4) @ (mand @ (white @ Y4) @ (mand @ (dirty @ Y4) @ (mand @ (old @ Y4) @ (mand @ (street @ Y5) @ (mand @ (way @ Y5) @ (mand @ (lonely @ Y5) @ (mand @ (barrel @ Y3 @ Y4) @ (mand @ (down @ Y3 @ Y5) @ (mand @ (in @ Y3 @ Y2) @ (mand @ (mnot @ (qmltpeq @ Y6 @ Y7)) @ (mand @ (fellow @ Y6) @ (mand @ (man @ Y6) @ (mand @ (young @ Y6) @ (mand @ (fellow @ Y7) @ (mand @ (man @ Y7) @ (mand @ (young @ Y7) @ (mand @ (qmltpeq @ Y6 @ Y8) @ (mand @ (in @ Y8 @ Y0) @ (mand @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[Y0 : $i]: (mexists_di @ (^[Y1 : $i]: (mexists_di @ (^[Y2 : $i]: (mexists_di @ (^[Y3 : $i]: (mexists_di @ (^[Y4 : $i]: (mexists_di @ (^[Y5 : $i]: (mexists_di @ (^[Y6 : $i]: (mexists_di @ (^[Y7 : $i]: (mexists_di @ (^[Y8 : $i]: (mexists_di @ (^[Y9 : $i]: (mand @ (seat @ Y0) @ (mand @ (furniture @ Y0) @ (mand @ (front @ Y0) @ (mand @ (seat @ Y1) @ (mand @ (furniture @ Y1) @ (mand @ (front @ Y1) @ (mand @ (hollywood @ Y2) @ (mand @ (city @ Y2) @ (mand @ (event @ Y3) @ (mand @ (street @ Y4) @ (mand @ (way @ Y4) @ (mand @ (lonely @ Y4) @ (mand @ (chevy @ Y5) @ (mand @ (car @ Y5) @ (mand @ (white @ Y5) @ (mand @ (dirty @ Y5) @ (mand @ (old @ Y5) @ (mand @ (barrel @ Y3 @ Y5) @ (mand @ (down @ Y3 @ Y4) @ (mand @ (in @ Y3 @ Y2) @ (mand @ (mnot @ (qmltpeq @ Y6 @ Y7)) @ (mand @ (fellow @ Y6) @ (mand @ (man @ Y6) @ (mand @ (young @ Y6) @ (mand @ (fellow @ Y7) @ (mand @ (man @ Y7) @ (mand @ (young @ Y7) @ (mand @ (qmltpeq @ Y6 @ Y8) @ (mand @ (in @ Y8 @ Y0) @ (mand @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 13.90/3.13 inference(fool_elimination,[status(thm)],[f71])).
% 13.90/3.13 thf(f71,plain,(
% 13.90/3.13 ~(mlocal @ (mand @ (mimplies @ (mexists_di @ (^[X0 : $i] : (mexists_di @ (^[X1 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X3 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X5 : $i] : (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X8 : $i] : (mexists_di @ (^[X9 : $i] : (mand @ (seat @ X0) @ (mand @ (furniture @ X0) @ (mand @ (front @ X0) @ (mand @ (seat @ X1) @ (mand @ (furniture @ X1) @ (mand @ (front @ X1) @ (mand @ (hollywood @ X2) @ (mand @ (city @ X2) @ (mand @ (event @ X3) @ (mand @ (street @ X4) @ (mand @ (way @ X4) @ (mand @ (lonely @ X4) @ (mand @ (chevy @ X5) @ (mand @ (car @ X5) @ (mand @ (white @ X5) @ (mand @ (dirty @ X5) @ (mand @ (old @ X5) @ (mand @ (barrel @ X3 @ X5) @ (mand @ (down @ X3 @ X4) @ (mand @ (in @ X3 @ X2) @ (mand @ (mnot @ (qmltpeq @ X6 @ X7)) @ (mand @ (fellow @ X6) @ (mand @ (man @ X6) @ (mand @ (young @ X6) @ (mand @ (fellow @ X7) @ (mand @ (man @ X7) @ (mand @ (young @ X7) @ (mand @ (qmltpeq @ X6 @ X8) @ (mand @ (in @ X8 @ X0) @ (mand @ (qmltpeq @ X7 @ X9) @ (in @ X9 @ X1))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[X10 : $i] : (mexists_di @ (^[X11 : $i] : (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mexists_di @ (^[X14 : $i] : (mexists_di @ (^[X15 : $i] : (mexists_di @ (^[X16 : $i] : (mexists_di @ (^[X17 : $i] : (mexists_di @ (^[X18 : $i] : (mexists_di @ (^[X19 : $i] : (mand @ (seat @ X10) @ (mand @ (furniture @ X10) @ (mand @ (front @ X10) @ (mand @ (seat @ X11) @ (mand @ (furniture @ X11) @ (mand @ (front @ X11) @ (mand @ (hollywood @ X12) @ (mand @ (city @ X12) @ (mand @ (event @ X13) @ (mand @ (chevy @ X14) @ (mand @ (car @ X14) @ (mand @ (white @ X14) @ (mand @ (dirty @ X14) @ (mand @ (old @ X14) @ (mand @ (street @ X15) @ (mand @ (way @ X15) @ (mand @ (lonely @ X15) @ (mand @ (barrel @ X13 @ X14) @ (mand @ (down @ X13 @ X15) @ (mand @ (in @ X13 @ X12) @ (mand @ (mnot @ (qmltpeq @ X16 @ X17)) @ (mand @ (fellow @ X16) @ (mand @ (man @ X16) @ (mand @ (young @ X16) @ (mand @ (fellow @ X17) @ (mand @ (man @ X17) @ (mand @ (young @ X17) @ (mand @ (qmltpeq @ X16 @ X18) @ (mand @ (in @ X18 @ X10) @ (mand @ (qmltpeq @ X17 @ X19) @ (in @ X19 @ X11)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[X20 : $i] : (mexists_di @ (^[X21 : $i] : (mexists_di @ (^[X22 : $i] : (mexists_di @ (^[X23 : $i] : (mexists_di @ (^[X24 : $i] : (mexists_di @ (^[X25 : $i] : (mexists_di @ (^[X26 : $i] : (mexists_di @ (^[X27 : $i] : (mexists_di @ (^[X28 : $i] : (mexists_di @ (^[X29 : $i] : (mand @ (seat @ X20) @ (mand @ (furniture @ X20) @ (mand @ (front @ X20) @ (mand @ (seat @ X21) @ (mand @ (furniture @ X21) @ (mand @ (front @ X21) @ (mand @ (hollywood @ X22) @ (mand @ (city @ X22) @ (mand @ (event @ X23) @ (mand @ (chevy @ X24) @ (mand @ (car @ X24) @ (mand @ (white @ X24) @ (mand @ (dirty @ X24) @ (mand @ (old @ X24) @ (mand @ (street @ X25) @ (mand @ (way @ X25) @ (mand @ (lonely @ X25) @ (mand @ (barrel @ X23 @ X24) @ (mand @ (down @ X23 @ X25) @ (mand @ (in @ X23 @ X22) @ (mand @ (mnot @ (qmltpeq @ X26 @ X27)) @ (mand @ (fellow @ X26) @ (mand @ (man @ X26) @ (mand @ (young @ X26) @ (mand @ (fellow @ X27) @ (mand @ (man @ X27) @ (mand @ (young @ X27) @ (mand @ (qmltpeq @ X26 @ X28) @ (mand @ (in @ X28 @ X20) @ (mand @ (qmltpeq @ X27 @ X29) @ (in @ X29 @ X21))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[X30 : $i] : (mexists_di @ (^[X31 : $i] : (mexists_di @ (^[X32 : $i] : (mexists_di @ (^[X33 : $i] : (mexists_di @ (^[X34 : $i] : (mexists_di @ (^[X35 : $i] : (mexists_di @ (^[X36 : $i] : (mexists_di @ (^[X37 : $i] : (mexists_di @ (^[X38 : $i] : (mexists_di @ (^[X39 : $i] : (mand @ (seat @ X30) @ (mand @ (furniture @ X30) @ (mand @ (front @ X30) @ (mand @ (seat @ X31) @ (mand @ (furniture @ X31) @ (mand @ (front @ X31) @ (mand @ (hollywood @ X32) @ (mand @ (city @ X32) @ (mand @ (event @ X33) @ (mand @ (street @ X34) @ (mand @ (way @ X34) @ (mand @ (lonely @ X34) @ (mand @ (chevy @ X35) @ (mand @ (car @ X35) @ (mand @ (white @ X35) @ (mand @ (dirty @ X35) @ (mand @ (old @ X35) @ (mand @ (barrel @ X33 @ X35) @ (mand @ (down @ X33 @ X34) @ (mand @ (in @ X33 @ X32) @ (mand @ (mnot @ (qmltpeq @ X36 @ X37)) @ (mand @ (fellow @ X36) @ (mand @ (man @ X36) @ (mand @ (young @ X36) @ (mand @ (fellow @ X37) @ (mand @ (man @ X37) @ (mand @ (young @ X37) @ (mand @ (qmltpeq @ X36 @ X38) @ (mand @ (in @ X38 @ X30) @ (mand @ (qmltpeq @ X37 @ X39) @ (in @ X39 @ X31))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 13.90/3.13 inference(rectify,[status(thm)],[f40])).
% 13.90/3.13 thf(f40,negated_conjecture,(
% 13.90/3.13 ~(mlocal @ (mand @ (mimplies @ (mexists_di @ (^[X9 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X5 : $i] : (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X10 : $i] : (mexists_di @ (^[X11 : $i] : (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mand @ (seat @ X9) @ (mand @ (furniture @ X9) @ (mand @ (front @ X9) @ (mand @ (seat @ X4) @ (mand @ (furniture @ X4) @ (mand @ (front @ X4) @ (mand @ (hollywood @ X2) @ (mand @ (city @ X2) @ (mand @ (event @ X5) @ (mand @ (street @ X6) @ (mand @ (way @ X6) @ (mand @ (lonely @ X6) @ (mand @ (chevy @ X7) @ (mand @ (car @ X7) @ (mand @ (white @ X7) @ (mand @ (dirty @ X7) @ (mand @ (old @ X7) @ (mand @ (barrel @ X5 @ X7) @ (mand @ (down @ X5 @ X6) @ (mand @ (in @ X5 @ X2) @ (mand @ (mnot @ (qmltpeq @ X10 @ X11)) @ (mand @ (fellow @ X10) @ (mand @ (man @ X10) @ (mand @ (young @ X10) @ (mand @ (fellow @ X11) @ (mand @ (man @ X11) @ (mand @ (young @ X11) @ (mand @ (qmltpeq @ X10 @ X12) @ (mand @ (in @ X12 @ X9) @ (mand @ (qmltpeq @ X11 @ X13) @ (in @ X13 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[X14 : $i] : (mexists_di @ (^[X15 : $i] : (mexists_di @ (^[X16 : $i] : (mexists_di @ (^[X17 : $i] : (mexists_di @ (^[X18 : $i] : (mexists_di @ (^[X19 : $i] : (mexists_di @ (^[X20 : $i] : (mexists_di @ (^[X21 : $i] : (mexists_di @ (^[X22 : $i] : (mexists_di @ (^[X23 : $i] : (mand @ (seat @ X14) @ (mand @ (furniture @ X14) @ (mand @ (front @ X14) @ (mand @ (seat @ X15) @ (mand @ (furniture @ X15) @ (mand @ (front @ X15) @ (mand @ (hollywood @ X16) @ (mand @ (city @ X16) @ (mand @ (event @ X17) @ (mand @ (chevy @ X18) @ (mand @ (car @ X18) @ (mand @ (white @ X18) @ (mand @ (dirty @ X18) @ (mand @ (old @ X18) @ (mand @ (street @ X19) @ (mand @ (way @ X19) @ (mand @ (lonely @ X19) @ (mand @ (barrel @ X17 @ X18) @ (mand @ (down @ X17 @ X19) @ (mand @ (in @ X17 @ X16) @ (mand @ (mnot @ (qmltpeq @ X20 @ X21)) @ (mand @ (fellow @ X20) @ (mand @ (man @ X20) @ (mand @ (young @ X20) @ (mand @ (fellow @ X21) @ (mand @ (man @ X21) @ (mand @ (young @ X21) @ (mand @ (qmltpeq @ X20 @ X22) @ (mand @ (in @ X22 @ X14) @ (mand @ (qmltpeq @ X21 @ X23) @ (in @ X23 @ X15)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[X24 : $i] : (mexists_di @ (^[X25 : $i] : (mexists_di @ (^[X26 : $i] : (mexists_di @ (^[X27 : $i] : (mexists_di @ (^[X28 : $i] : (mexists_di @ (^[X29 : $i] : (mexists_di @ (^[X30 : $i] : (mexists_di @ (^[X31 : $i] : (mexists_di @ (^[X32 : $i] : (mexists_di @ (^[X33 : $i] : (mand @ (seat @ X24) @ (mand @ (furniture @ X24) @ (mand @ (front @ X24) @ (mand @ (seat @ X25) @ (mand @ (furniture @ X25) @ (mand @ (front @ X25) @ (mand @ (hollywood @ X26) @ (mand @ (city @ X26) @ (mand @ (event @ X27) @ (mand @ (chevy @ X28) @ (mand @ (car @ X28) @ (mand @ (white @ X28) @ (mand @ (dirty @ X28) @ (mand @ (old @ X28) @ (mand @ (street @ X29) @ (mand @ (way @ X29) @ (mand @ (lonely @ X29) @ (mand @ (barrel @ X27 @ X28) @ (mand @ (down @ X27 @ X29) @ (mand @ (in @ X27 @ X26) @ (mand @ (mnot @ (qmltpeq @ X30 @ X31)) @ (mand @ (fellow @ X30) @ (mand @ (man @ X30) @ (mand @ (young @ X30) @ (mand @ (fellow @ X31) @ (mand @ (man @ X31) @ (mand @ (young @ X31) @ (mand @ (qmltpeq @ X30 @ X32) @ (mand @ (in @ X32 @ X24) @ (mand @ (qmltpeq @ X31 @ X33) @ (in @ X33 @ X25))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[X34 : $i] : (mexists_di @ (^[X35 : $i] : (mexists_di @ (^[X36 : $i] : (mexists_di @ (^[X37 : $i] : (mexists_di @ (^[X38 : $i] : (mexists_di @ (^[X39 : $i] : (mexists_di @ (^[X40 : $i] : (mexists_di @ (^[X41 : $i] : (mexists_di @ (^[X42 : $i] : (mexists_di @ (^[X43 : $i] : (mand @ (seat @ X34) @ (mand @ (furniture @ X34) @ (mand @ (front @ X34) @ (mand @ (seat @ X35) @ (mand @ (furniture @ X35) @ (mand @ (front @ X35) @ (mand @ (hollywood @ X36) @ (mand @ (city @ X36) @ (mand @ (event @ X37) @ (mand @ (street @ X38) @ (mand @ (way @ X38) @ (mand @ (lonely @ X38) @ (mand @ (chevy @ X39) @ (mand @ (car @ X39) @ (mand @ (white @ X39) @ (mand @ (dirty @ X39) @ (mand @ (old @ X39) @ (mand @ (barrel @ X37 @ X39) @ (mand @ (down @ X37 @ X38) @ (mand @ (in @ X37 @ X36) @ (mand @ (mnot @ (qmltpeq @ X40 @ X41)) @ (mand @ (fellow @ X40) @ (mand @ (man @ X40) @ (mand @ (young @ X40) @ (mand @ (fellow @ X41) @ (mand @ (man @ X41) @ (mand @ (young @ X41) @ (mand @ (qmltpeq @ X40 @ X42) @ (mand @ (in @ X42 @ X34) @ (mand @ (qmltpeq @ X41 @ X43) @ (in @ X43 @ X35))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 13.90/3.13 inference(negated_conjecture,[status(cth)],[f39])).
% 13.90/3.13 thf(f39,conjecture,(
% 13.90/3.13 (mlocal @ (mand @ (mimplies @ (mexists_di @ (^[X9 : $i] : (mexists_di @ (^[X4 : $i] : (mexists_di @ (^[X2 : $i] : (mexists_di @ (^[X5 : $i] : (mexists_di @ (^[X6 : $i] : (mexists_di @ (^[X7 : $i] : (mexists_di @ (^[X10 : $i] : (mexists_di @ (^[X11 : $i] : (mexists_di @ (^[X12 : $i] : (mexists_di @ (^[X13 : $i] : (mand @ (seat @ X9) @ (mand @ (furniture @ X9) @ (mand @ (front @ X9) @ (mand @ (seat @ X4) @ (mand @ (furniture @ X4) @ (mand @ (front @ X4) @ (mand @ (hollywood @ X2) @ (mand @ (city @ X2) @ (mand @ (event @ X5) @ (mand @ (street @ X6) @ (mand @ (way @ X6) @ (mand @ (lonely @ X6) @ (mand @ (chevy @ X7) @ (mand @ (car @ X7) @ (mand @ (white @ X7) @ (mand @ (dirty @ X7) @ (mand @ (old @ X7) @ (mand @ (barrel @ X5 @ X7) @ (mand @ (down @ X5 @ X6) @ (mand @ (in @ X5 @ X2) @ (mand @ (mnot @ (qmltpeq @ X10 @ X11)) @ (mand @ (fellow @ X10) @ (mand @ (man @ X10) @ (mand @ (young @ X10) @ (mand @ (fellow @ X11) @ (mand @ (man @ X11) @ (mand @ (young @ X11) @ (mand @ (qmltpeq @ X10 @ X12) @ (mand @ (in @ X12 @ X9) @ (mand @ (qmltpeq @ X11 @ X13) @ (in @ X13 @ X4))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[X14 : $i] : (mexists_di @ (^[X15 : $i] : (mexists_di @ (^[X16 : $i] : (mexists_di @ (^[X17 : $i] : (mexists_di @ (^[X18 : $i] : (mexists_di @ (^[X19 : $i] : (mexists_di @ (^[X20 : $i] : (mexists_di @ (^[X21 : $i] : (mexists_di @ (^[X22 : $i] : (mexists_di @ (^[X23 : $i] : (mand @ (seat @ X14) @ (mand @ (furniture @ X14) @ (mand @ (front @ X14) @ (mand @ (seat @ X15) @ (mand @ (furniture @ X15) @ (mand @ (front @ X15) @ (mand @ (hollywood @ X16) @ (mand @ (city @ X16) @ (mand @ (event @ X17) @ (mand @ (chevy @ X18) @ (mand @ (car @ X18) @ (mand @ (white @ X18) @ (mand @ (dirty @ X18) @ (mand @ (old @ X18) @ (mand @ (street @ X19) @ (mand @ (way @ X19) @ (mand @ (lonely @ X19) @ (mand @ (barrel @ X17 @ X18) @ (mand @ (down @ X17 @ X19) @ (mand @ (in @ X17 @ X16) @ (mand @ (mnot @ (qmltpeq @ X20 @ X21)) @ (mand @ (fellow @ X20) @ (mand @ (man @ X20) @ (mand @ (young @ X20) @ (mand @ (fellow @ X21) @ (mand @ (man @ X21) @ (mand @ (young @ X21) @ (mand @ (qmltpeq @ X20 @ X22) @ (mand @ (in @ X22 @ X14) @ (mand @ (qmltpeq @ X21 @ X23) @ (in @ X23 @ X15)))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mimplies @ (mexists_di @ (^[X24 : $i] : (mexists_di @ (^[X25 : $i] : (mexists_di @ (^[X26 : $i] : (mexists_di @ (^[X27 : $i] : (mexists_di @ (^[X28 : $i] : (mexists_di @ (^[X29 : $i] : (mexists_di @ (^[X30 : $i] : (mexists_di @ (^[X31 : $i] : (mexists_di @ (^[X32 : $i] : (mexists_di @ (^[X33 : $i] : (mand @ (seat @ X24) @ (mand @ (furniture @ X24) @ (mand @ (front @ X24) @ (mand @ (seat @ X25) @ (mand @ (furniture @ X25) @ (mand @ (front @ X25) @ (mand @ (hollywood @ X26) @ (mand @ (city @ X26) @ (mand @ (event @ X27) @ (mand @ (chevy @ X28) @ (mand @ (car @ X28) @ (mand @ (white @ X28) @ (mand @ (dirty @ X28) @ (mand @ (old @ X28) @ (mand @ (street @ X29) @ (mand @ (way @ X29) @ (mand @ (lonely @ X29) @ (mand @ (barrel @ X27 @ X28) @ (mand @ (down @ X27 @ X29) @ (mand @ (in @ X27 @ X26) @ (mand @ (mnot @ (qmltpeq @ X30 @ X31)) @ (mand @ (fellow @ X30) @ (mand @ (man @ X30) @ (mand @ (young @ X30) @ (mand @ (fellow @ X31) @ (mand @ (man @ X31) @ (mand @ (young @ X31) @ (mand @ (qmltpeq @ X30 @ X32) @ (mand @ (in @ X32 @ X24) @ (mand @ (qmltpeq @ X31 @ X33) @ (in @ X33 @ X25))))))))))))))))))))))))))))))))))))))))))))))))))) @ (mexists_di @ (^[X34 : $i] : (mexists_di @ (^[X35 : $i] : (mexists_di @ (^[X36 : $i] : (mexists_di @ (^[X37 : $i] : (mexists_di @ (^[X38 : $i] : (mexists_di @ (^[X39 : $i] : (mexists_di @ (^[X40 : $i] : (mexists_di @ (^[X41 : $i] : (mexists_di @ (^[X42 : $i] : (mexists_di @ (^[X43 : $i] : (mand @ (seat @ X34) @ (mand @ (furniture @ X34) @ (mand @ (front @ X34) @ (mand @ (seat @ X35) @ (mand @ (furniture @ X35) @ (mand @ (front @ X35) @ (mand @ (hollywood @ X36) @ (mand @ (city @ X36) @ (mand @ (event @ X37) @ (mand @ (street @ X38) @ (mand @ (way @ X38) @ (mand @ (lonely @ X38) @ (mand @ (chevy @ X39) @ (mand @ (car @ X39) @ (mand @ (white @ X39) @ (mand @ (dirty @ X39) @ (mand @ (old @ X39) @ (mand @ (barrel @ X37 @ X39) @ (mand @ (down @ X37 @ X38) @ (mand @ (in @ X37 @ X36) @ (mand @ (mnot @ (qmltpeq @ X40 @ X41)) @ (mand @ (fellow @ X40) @ (mand @ (man @ X40) @ (mand @ (young @ X40) @ (mand @ (fellow @ X41) @ (mand @ (man @ X41) @ (mand @ (young @ X41) @ (mand @ (qmltpeq @ X40 @ X42) @ (mand @ (in @ X42 @ X34) @ (mand @ (qmltpeq @ X41 @ X43) @ (in @ X43 @ X35))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 13.90/3.13 file('/export/starexec/sandbox/tmp/tmp.ORQdr5OtUz/DTF2THF_1584.p',co1)).
% 13.90/3.13 thf(f231,plain,(
% 13.90/3.13 spl0_2 | spl0_3),
% 13.90/3.13 inference(avatar_split_clause,[status(thm)],[f217,f228,f223])).
% 13.90/3.13 thf(f217,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) | ((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) = $true)),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f215])).
% 13.90/3.13 thf(f215,plain,(
% 13.90/3.13 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) | (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y4 @ mactual)) & (barrel @ Y3 @ Y5 @ mactual)) & (old @ Y5 @ mactual)) & (dirty @ Y5 @ mactual)) & (white @ Y5 @ mactual)) & (car @ Y5 @ mactual)) & (chevy @ Y5 @ mactual)) & (lonely @ Y4 @ mactual)) & (way @ Y4 @ mactual)) & (street @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual)))))))))))))))))))))))))))))))) => (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & (?? @ $i @ (^[Y4 : $i]: ((eiw_di @ Y4 @ mactual) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & (?? @ $i @ (^[Y8 : $i]: ((eiw_di @ Y8 @ mactual) & (?? @ $i @ (^[Y9 : $i]: ((eiw_di @ Y9 @ mactual) & (((((((((((((((((((((((((((((((in @ Y9 @ Y1 @ mactual) & (qmltpeq @ Y7 @ Y9 @ mactual)) & (in @ Y8 @ Y0 @ mactual)) & (qmltpeq @ Y6 @ Y8 @ mactual)) & (young @ Y7 @ mactual)) & (man @ Y7 @ mactual)) & (fellow @ Y7 @ mactual)) & (young @ Y6 @ mactual)) & (man @ Y6 @ mactual)) & (fellow @ Y6 @ mactual)) & (~ (qmltpeq @ Y6 @ Y7 @ mactual))) & (in @ Y3 @ Y2 @ mactual)) & (down @ Y3 @ Y5 @ mactual)) & (barrel @ Y3 @ Y4 @ mactual)) & (lonely @ Y5 @ mactual)) & (way @ Y5 @ mactual)) & (street @ Y5 @ mactual)) & (old @ Y4 @ mactual)) & (dirty @ Y4 @ mactual)) & (white @ Y4 @ mactual)) & (car @ Y4 @ mactual)) & (chevy @ Y4 @ mactual)) & (event @ Y3 @ mactual)) & (city @ Y2 @ mactual)) & (hollywood @ Y2 @ mactual)) & (front @ Y1 @ mactual)) & (furniture @ Y1 @ mactual)) & (seat @ Y1 @ mactual)) & (front @ Y0 @ mactual)) & (furniture @ Y0 @ mactual)) & (seat @ Y0 @ mactual))))))))))))))))))))))))))))))))) = $false)),
% 13.90/3.13 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 13.90/3.13 % SZS output end Proof for DTF2THF_1584
% 13.90/3.13 % (2055)------------------------------
% 13.90/3.13 % (2055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.90/3.13 % (2055)Termination reason: Refutation
% 13.90/3.13
% 13.90/3.13 % (2055)Memory used [KB]: 10362
% 13.90/3.13 % (2055)Time elapsed: 0.589 s
% 13.90/3.13 % (2055)Instructions burned: 1544 (million)
% 13.90/3.13 % (2055)------------------------------
% 13.90/3.13 % (2055)------------------------------
% 13.90/3.13 % (1932)Success in time 1.715 s
%------------------------------------------------------------------------------