%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : NLP004^12 : 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 : n023.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 09:21:49 AM UTC 2026
% Result : Theorem 16.33s 3.97s
% Output : Refutation 16.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 20
% Syntax : Number of formulae : 680 ( 25 unt; 0 typ; 14 def)
% Number of atoms : 31446 (3941 equ; 0 cnn)
% Maximal formula atoms : 292 ( 46 avg)
% Number of connectives : 53225 ( 810 ~;4104 |;10351 &;36760 @)
% ( 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 !!;1172 ??; 0 @@+; 0 @@-)
% Number of variables : 3185 (1973 ^;1210 !; 2 ?;3185 :)
% 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(f1268,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f226,f239,f408,f456,f492,f511,f514,f680,f821,f960,f977,f1002,f1061,f1097,f1114,f1125,f1242,f1267]) ).
thf(f1267,plain,
( spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[status(thm)],[f1266]) ).
thf(f1266,plain,
( $false
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1265]) ).
thf(f1265,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f1188,f1264]) ).
thf(f1264,plain,
( ( ( car @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1263]) ).
thf(f1263,plain,
( ( ( car @ sK6 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1262,f1186]) ).
thf(f1186,plain,
( ( $true
= ( chevy @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1183]) ).
thf(f1183,plain,
( ( $true
= ( ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1181]) ).
thf(f1181,plain,
( ( $true
= ( ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1179]) ).
thf(f1179,plain,
( ( $true
= ( ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1177]) ).
thf(f1177,plain,
( ( $true
= ( ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1175]) ).
thf(f1175,plain,
( ( $true
= ( ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1173]) ).
thf(f1173,plain,
( ( $true
= ( ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1171]) ).
thf(f1171,plain,
( ( $true
= ( ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1169]) ).
thf(f1169,plain,
( ( $true
= ( ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1167]) ).
thf(f1167,plain,
( ( $true
= ( ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1165]) ).
thf(f1165,plain,
( ( $true
= ( ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1164]) ).
thf(f1164,plain,
( ( $true
= ( ( eiw_di @ sK11 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1163]) ).
thf(f1163,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) )
@ sK11 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1161]) ).
thf(f1161,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1160]) ).
thf(f1160,plain,
( ( $true
= ( ( eiw_di @ sK10 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1159]) ).
thf(f1159,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) )
@ sK10 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1157]) ).
thf(f1157,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1156]) ).
thf(f1156,plain,
( ( $true
= ( ( eiw_di @ sK9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1155]) ).
thf(f1155,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) )
@ sK9 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1153]) ).
thf(f1153,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1152]) ).
thf(f1152,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1151]) ).
thf(f1151,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) )
@ sK8 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1149]) ).
thf(f1149,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1148]) ).
thf(f1148,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1147]) ).
thf(f1147,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK7 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1145]) ).
thf(f1145,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1144]) ).
thf(f1144,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1143]) ).
thf(f1143,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK6 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1141]) ).
thf(f1141,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1140]) ).
thf(f1140,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1139]) ).
thf(f1139,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK5 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1137]) ).
thf(f1137,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1136]) ).
thf(f1136,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1135]) ).
thf(f1135,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1133]) ).
thf(f1133,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1132]) ).
thf(f1132,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1131]) ).
thf(f1131,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1129]) ).
thf(f1129,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1128]) ).
thf(f1128,plain,
( ( $true
= ( ( 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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1127]) ).
thf(f1127,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f1262,plain,
( ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1261]) ).
thf(f1261,plain,
( ( $true = $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1260,f1190]) ).
thf(f1190,plain,
( ( $true
= ( white @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1187]) ).
thf(f1187,plain,
( ( $true
= ( ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1185]) ).
thf(f1185,plain,
( ( $true
= ( ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1183]) ).
thf(f1260,plain,
( ( ( car @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1259]) ).
thf(f1259,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1258,f1146]) ).
thf(f1146,plain,
( ( $true
= ( eiw_di @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1144]) ).
thf(f1258,plain,
( ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1257]) ).
thf(f1257,plain,
( ( $true = $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1256,f1194]) ).
thf(f1194,plain,
( ( $true
= ( old @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1191]) ).
thf(f1191,plain,
( ( $true
= ( ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1189]) ).
thf(f1189,plain,
( ( $true
= ( ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1187]) ).
thf(f1256,plain,
( ( ( old @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1255]) ).
thf(f1255,plain,
( ( ( car @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1254,f1192]) ).
thf(f1192,plain,
( ( $true
= ( dirty @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1189]) ).
thf(f1254,plain,
( ( ( dirty @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( white @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1251]) ).
thf(f1251,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f478,f1202]) ).
thf(f1202,plain,
( ( $true
= ( barrel @ sK5 @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1199]) ).
thf(f1199,plain,
( ( $true
= ( ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1197]) ).
thf(f1197,plain,
( ( $true
= ( ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1195]) ).
thf(f1195,plain,
( ( $true
= ( ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1193]) ).
thf(f1193,plain,
( ( $true
= ( ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1191]) ).
thf(f478,plain,
( ! [X0: $i] :
( ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f477]) ).
thf(f477,definition,
( spl0_10
<=> ! [X0: $i] :
( ( ( chevy @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f1188,plain,
( ( $true
= ( car @ sK6 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1185]) ).
thf(f1242,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[status(thm)],[f1241]) ).
thf(f1241,plain,
( $false
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1240]) ).
thf(f1240,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f1138,f1239]) ).
thf(f1239,plain,
( ( ( eiw_di @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1238]) ).
thf(f1238,plain,
( ( $true = $false )
| ( ( eiw_di @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1237,f1180]) ).
thf(f1180,plain,
( ( $true
= ( hollywood @ sK4 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1177]) ).
thf(f1237,plain,
( ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1236]) ).
thf(f1236,plain,
( ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1235,f1182]) ).
thf(f1182,plain,
( ( $true
= ( city @ sK4 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1179]) ).
thf(f1235,plain,
( ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( ( city @ sK4 @ mactual )
= $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1232]) ).
thf(f1232,plain,
( ( ( hollywood @ sK4 @ mactual )
= $false )
| ( ( city @ sK4 @ mactual )
= $false )
| ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f1206,f475]) ).
thf(f475,plain,
( ! [X1: $i] :
( ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f474]) ).
thf(f474,definition,
( spl0_9
<=> ! [X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f1206,plain,
( ( $true
= ( in @ sK5 @ sK4 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1203]) ).
thf(f1203,plain,
( ( $true
= ( ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1201]) ).
thf(f1201,plain,
( ( $true
= ( ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1199]) ).
thf(f1138,plain,
( ( $true
= ( eiw_di @ sK4 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1136]) ).
thf(f1125,plain,
( spl0_2
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[status(thm)],[f1124]) ).
thf(f1124,plain,
( $false
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1123]) ).
thf(f1123,plain,
( ( $true = $false )
| spl0_2
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f837,f1122]) ).
thf(f1122,plain,
( ( ( eiw_di @ sK14 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1121]) ).
thf(f1121,plain,
( ( $true = $false )
| ( ( eiw_di @ sK14 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1120,f881]) ).
thf(f881,plain,
( ( $true
= ( city @ sK14 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f878]) ).
thf(f878,plain,
( ( $true
= ( ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f876]) ).
thf(f876,plain,
( ( $true
= ( ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f874]) ).
thf(f874,plain,
( ( $true
= ( ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f872]) ).
thf(f872,plain,
( ( $true
= ( ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f870]) ).
thf(f870,plain,
( ( $true
= ( ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f868]) ).
thf(f868,plain,
( ( $true
= ( ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f866]) ).
thf(f866,plain,
( ( $true
= ( ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f864]) ).
thf(f864,plain,
( ( $true
= ( ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f863]) ).
thf(f863,plain,
( ( $true
= ( ( eiw_di @ sK21 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f862]) ).
thf(f862,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual ) )
@ sK21 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f860]) ).
thf(f860,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f859]) ).
thf(f859,plain,
( ( $true
= ( ( eiw_di @ sK20 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ Y0 @ mactual )
& ( in @ Y0 @ sK13 @ mactual ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f858]) ).
thf(f858,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual ) ) ) )
@ sK20 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f856]) ).
thf(f856,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual ) ) ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f855]) ).
thf(f855,plain,
( ( $true
= ( ( eiw_di @ sK19 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( in @ Y0 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ Y1 @ mactual )
& ( in @ Y1 @ sK13 @ mactual ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f854]) ).
thf(f854,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual ) ) ) ) ) )
@ sK19 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f852]) ).
thf(f852,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual ) ) ) ) ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f851]) ).
thf(f851,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ Y0 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK18 @ Y1 @ mactual )
& ( in @ Y1 @ sK12 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK13 @ mactual ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f850]) ).
thf(f850,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual ) ) ) ) ) ) ) )
@ sK18 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f848]) ).
thf(f848,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f847]) ).
thf(f847,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK12 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f846]) ).
thf(f846,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK17 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f844]) ).
thf(f844,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f843]) ).
thf(f843,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( barrel @ sK15 @ Y0 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK12 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f842]) ).
thf(f842,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK16 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f840]) ).
thf(f840,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f839]) ).
thf(f839,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ sK15 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( barrel @ sK15 @ Y1 @ mactual )
& ( down @ sK15 @ Y0 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK12 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f838]) ).
thf(f838,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK15 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f836]) ).
thf(f836,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f835]) ).
thf(f835,plain,
( ( $true
= ( ( 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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ sK14 @ mactual )
& ( city @ sK14 @ mactual )
& ( event @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( in @ Y0 @ sK14 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK12 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f834]) ).
thf(f834,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK14 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f832]) ).
thf(f832,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f831]) ).
thf(f831,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ sK13 @ mactual )
& ( furniture @ sK13 @ mactual )
& ( front @ sK13 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK12 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK13 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f830]) ).
thf(f830,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK13 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f828]) ).
thf(f828,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f827]) ).
thf(f827,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 )
& ( seat @ sK12 @ mactual )
& ( furniture @ sK12 @ mactual )
& ( front @ sK12 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK12 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f826]) ).
thf(f826,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK12 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f224]) ).
thf(f224,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
!= $false )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f223]) ).
thf(f223,definition,
( spl0_2
<=> ( ( ?? @ $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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f1120,plain,
( ( ( eiw_di @ sK14 @ mactual )
= $false )
| ( ( city @ sK14 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1119]) ).
thf(f1119,plain,
( ( ( city @ sK14 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK14 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1118,f879]) ).
thf(f879,plain,
( ( $true
= ( hollywood @ sK14 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f876]) ).
thf(f1118,plain,
( ( ( hollywood @ sK14 @ mactual )
= $false )
| ( ( city @ sK14 @ mactual )
= $false )
| ( ( eiw_di @ sK14 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1115]) ).
thf(f1115,plain,
( ( ( hollywood @ sK14 @ mactual )
= $false )
| ( $true = $false )
| ( ( city @ sK14 @ mactual )
= $false )
| ( ( eiw_di @ sK14 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(superposition,[status(thm)],[f1080,f905]) ).
thf(f905,plain,
( ( $true
= ( in @ sK15 @ sK14 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f902]) ).
thf(f902,plain,
( ( $true
= ( ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f900]) ).
thf(f900,plain,
( ( $true
= ( ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f898]) ).
thf(f898,plain,
( ( $true
= ( ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f896]) ).
thf(f896,plain,
( ( $true
= ( ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f894]) ).
thf(f894,plain,
( ( $true
= ( ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f892]) ).
thf(f892,plain,
( ( $true
= ( ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f890]) ).
thf(f890,plain,
( ( $true
= ( ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f888]) ).
thf(f888,plain,
( ( $true
= ( ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f886]) ).
thf(f886,plain,
( ( $true
= ( ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f884]) ).
thf(f884,plain,
( ( $true
= ( ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f882]) ).
thf(f882,plain,
( ( $true
= ( ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f880]) ).
thf(f880,plain,
( ( $true
= ( ( event @ sK15 @ mactual )
& ( street @ sK16 @ mactual )
& ( way @ sK16 @ mactual )
& ( lonely @ sK16 @ mactual )
& ( chevy @ sK17 @ mactual )
& ( car @ sK17 @ mactual )
& ( white @ sK17 @ mactual )
& ( dirty @ sK17 @ mactual )
& ( old @ sK17 @ mactual )
& ( barrel @ sK15 @ sK17 @ mactual )
& ( down @ sK15 @ sK16 @ mactual )
& ( in @ sK15 @ sK14 @ mactual )
& ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f878]) ).
thf(f1080,plain,
( ! [X1: $i] :
( ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f1079]) ).
thf(f1079,definition,
( spl0_13
<=> ! [X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition]) ).
thf(f837,plain,
( ( $true
= ( eiw_di @ sK14 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f835]) ).
thf(f1114,plain,
( spl0_2
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[status(thm)],[f1113]) ).
thf(f1113,plain,
( $false
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1112]) ).
thf(f1112,plain,
( ( $true = $false )
| spl0_2
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f893,f1111]) ).
thf(f1111,plain,
( ( ( car @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1110]) ).
thf(f1110,plain,
( ( $true = $false )
| ( ( car @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1109,f897]) ).
thf(f897,plain,
( ( $true
= ( dirty @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f894]) ).
thf(f1109,plain,
( ( ( car @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1108]) ).
thf(f1108,plain,
( ( $true = $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1107,f899]) ).
thf(f899,plain,
( ( $true
= ( old @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f896]) ).
thf(f1107,plain,
( ( ( old @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1106]) ).
thf(f1106,plain,
( ( ( dirty @ sK17 @ mactual )
= $false )
| ( $true = $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1105,f849]) ).
thf(f849,plain,
( ( $true
= ( eiw_di @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f847]) ).
thf(f1105,plain,
( ( ( eiw_di @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1104]) ).
thf(f1104,plain,
( ( ( old @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1103,f891]) ).
thf(f891,plain,
( ( $true
= ( chevy @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f888]) ).
thf(f1103,plain,
( ( ( car @ sK17 @ mactual )
= $false )
| ( ( chevy @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( eiw_di @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1102]) ).
thf(f1102,plain,
( ( $true = $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( chevy @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( ( eiw_di @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1101,f895]) ).
thf(f895,plain,
( ( $true
= ( white @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f892]) ).
thf(f1101,plain,
( ( ( white @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( eiw_di @ sK17 @ mactual )
= $false )
| ( ( chevy @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( ( old @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1098]) ).
thf(f1098,plain,
( ( ( white @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( chevy @ sK17 @ mactual )
= $false )
| ( ( eiw_di @ sK17 @ mactual )
= $false )
| ( $true = $false )
| ( ( old @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(superposition,[status(thm)],[f1083,f901]) ).
thf(f901,plain,
( ( $true
= ( barrel @ sK15 @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f898]) ).
thf(f1083,plain,
( ! [X0: $i] :
( ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[status(thm)],[f1082]) ).
thf(f1082,definition,
( spl0_14
<=> ! [X0: $i] :
( ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition]) ).
thf(f893,plain,
( ( $true
= ( car @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f890]) ).
thf(f1097,plain,
( spl0_13
| spl0_14
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f1096,f406,f223,f1082,f1079]) ).
thf(f406,definition,
( spl0_6
<=> ! [X5: $i,X4: $i,X6: $i,X3: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f1096,plain,
( ! [X0: $i,X1: $i] :
( ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1095]) ).
thf(f1095,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1094,f883]) ).
thf(f883,plain,
( ( $true
= ( event @ sK15 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f880]) ).
thf(f1094,plain,
( ! [X0: $i,X1: $i] :
( ( ( city @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1093]) ).
thf(f1093,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1092,f885]) ).
thf(f885,plain,
( ( $true
= ( street @ sK16 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f882]) ).
thf(f1092,plain,
( ! [X0: $i,X1: $i] :
( ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1091]) ).
thf(f1091,plain,
( ! [X0: $i,X1: $i] :
( ( ( event @ sK15 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1090,f845]) ).
thf(f845,plain,
( ( $true
= ( eiw_di @ sK16 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f843]) ).
thf(f1090,plain,
( ! [X0: $i,X1: $i] :
( ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK16 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1089]) ).
thf(f1089,plain,
( ! [X0: $i,X1: $i] :
( ( ( white @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK16 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1088,f889]) ).
thf(f889,plain,
( ( $true
= ( lonely @ sK16 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f886]) ).
thf(f1088,plain,
( ! [X0: $i,X1: $i] :
( ( ( dirty @ X0 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1087]) ).
thf(f1087,plain,
( ! [X0: $i,X1: $i] :
( ( ( city @ X1 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK16 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1086,f887]) ).
thf(f887,plain,
( ( $true
= ( way @ sK16 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f884]) ).
thf(f1086,plain,
( ! [X0: $i,X1: $i] :
( ( ( city @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK16 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1085]) ).
thf(f1085,plain,
( ! [X0: $i,X1: $i] :
( ( ( street @ sK16 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK16 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1064,f841]) ).
thf(f841,plain,
( ( $true
= ( eiw_di @ sK15 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f839]) ).
thf(f1064,plain,
( ! [X0: $i,X1: $i] :
( ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1063]) ).
thf(f1063,plain,
( ! [X0: $i,X1: $i] :
( ( ( event @ sK15 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( barrel @ sK15 @ X0 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( $true = $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK16 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( in @ sK15 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f903,f407]) ).
thf(f407,plain,
( ! [X3: $i,X6: $i,X4: $i,X5: $i] :
( ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f406]) ).
thf(f903,plain,
( ( $true
= ( down @ sK15 @ sK16 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f900]) ).
thf(f1061,plain,
( spl0_6
| spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f1060,f219,f403,f406]) ).
thf(f403,definition,
( spl0_5
<=> ! [X2: $i,X10: $i,X7: $i,X8: $i,X9: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( man @ X7 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( qmltpeq @ X8 @ X10 @ mactual )
= $false )
| ( ( in @ X10 @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f1060,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( young @ X8 @ mactual )
= $false )
| ( ( qmltpeq @ X8 @ X10 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X10 @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1059]) ).
thf(f1059,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 )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1058]) ).
thf(f1058,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1057]) ).
thf(f1057,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1056]) ).
thf(f1056,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 )
| ( ( man @ X8 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1055]) ).
thf(f1055,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1054]) ).
thf(f1054,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 @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1053]) ).
thf(f1053,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1052]) ).
thf(f1052,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 )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1051]) ).
thf(f1051,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( dirty @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(not_proxy_clausification,[status(thm)],[f1050]) ).
thf(f1050,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 )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1049]) ).
thf(f1049,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( street @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1048]) ).
thf(f1048,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( old @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1047]) ).
thf(f1047,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1046]) ).
thf(f1046,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 )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1045]) ).
thf(f1045,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( old @ X5 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1044]) ).
thf(f1044,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 )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( street @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1043]) ).
thf(f1043,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( furniture @ X2 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1042]) ).
thf(f1042,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 )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1041]) ).
thf(f1041,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 )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1040]) ).
thf(f1040,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 )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1039]) ).
thf(f1039,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 @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1038]) ).
thf(f1038,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 )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1037]) ).
thf(f1037,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 )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1036]) ).
thf(f1036,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 )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1035]) ).
thf(f1035,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 @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1034]) ).
thf(f1034,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 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1033]) ).
thf(f1033,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1032]) ).
thf(f1032,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 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1031]) ).
thf(f1031,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 )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1030]) ).
thf(f1030,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 )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1029]) ).
thf(f1029,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 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1028]) ).
thf(f1028,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 )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( ( eiw_di @ X10 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1027]) ).
thf(f1027,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual ) )
@ X10 )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f1026]) ).
thf(f1026,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1025]) ).
thf(f1025,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( eiw_di @ X9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual ) ) ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1024]) ).
thf(f1024,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 @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual ) ) ) )
@ X9 )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f1023]) ).
thf(f1023,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1022]) ).
thf(f1022,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( ( eiw_di @ X8 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1021]) ).
thf(f1021,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual ) ) ) ) ) )
@ X8 )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f1020]) ).
thf(f1020,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1019]) ).
thf(f1019,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1018]) ).
thf(f1018,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) )
@ X7 )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f1017]) ).
thf(f1017,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1016]) ).
thf(f1016,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ X6 @ mactual )
& ( way @ X6 @ mactual )
& ( lonely @ X6 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ X6 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1015]) ).
thf(f1015,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
@ X6 )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f1014]) ).
thf(f1014,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( 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)],[f1013]) ).
thf(f1013,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ X5 @ mactual )
& ( car @ X5 @ mactual )
& ( white @ X5 @ mactual )
& ( dirty @ X5 @ mactual )
& ( old @ X5 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ X4 @ X5 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1012]) ).
thf(f1012,plain,
( ! [X2: $i,X3: $i,X1: $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 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( down @ X4 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ X5 )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f1011]) ).
thf(f1011,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( down @ X4 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1010]) ).
thf(f1010,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( down @ X4 @ Y1 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1009]) ).
thf(f1009,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( 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 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X4 )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f1008]) ).
thf(f1008,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1007]) ).
thf(f1007,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( ( 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1006]) ).
thf(f1006,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( eiw_di @ X2 @ 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 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( ?? @ $i
@ ^ [Y7: $i] :
( ( eiw_di @ Y7 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X3 )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f1005]) ).
thf(f1005,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1004]) ).
thf(f1004,plain,
( ! [X2: $i,X1: $i] :
( ( ( ( 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1003]) ).
thf(f1003,plain,
( ! [X2: $i,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X2 )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f825]) ).
thf(f825,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f824]) ).
thf(f824,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f823]) ).
thf(f823,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X1 )
= $false )
| ~ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f219]) ).
thf(f1002,plain,
( spl0_2
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[status(thm)],[f1001]) ).
thf(f1001,plain,
( $false
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f1000]) ).
thf(f1000,plain,
( ( $true = $false )
| spl0_2
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f867,f999]) ).
thf(f999,plain,
( ( ( seat @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f998]) ).
thf(f998,plain,
( ( ( seat @ sK12 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f997,f871]) ).
thf(f871,plain,
( ( $true
= ( front @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f868]) ).
thf(f997,plain,
( ( ( seat @ sK12 @ mactual )
= $false )
| ( ( front @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f996]) ).
thf(f996,plain,
( ( $true = $false )
| ( ( front @ sK12 @ mactual )
= $false )
| ( ( seat @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f995,f869]) ).
thf(f869,plain,
( ( $true
= ( furniture @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f866]) ).
thf(f995,plain,
( ( ( furniture @ sK12 @ mactual )
= $false )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( ( front @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f994]) ).
thf(f994,plain,
( ( ( seat @ sK12 @ mactual )
= $false )
| ( $true = $false )
| ( ( front @ sK12 @ mactual )
= $false )
| ( ( furniture @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f993,f829]) ).
thf(f829,plain,
( ( $true
= ( eiw_di @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f827]) ).
thf(f993,plain,
( ( ( eiw_di @ sK12 @ mactual )
= $false )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( ( front @ sK12 @ mactual )
= $false )
| ( ( furniture @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f991]) ).
thf(f991,plain,
( ( ( front @ sK12 @ mactual )
= $false )
| ( ( furniture @ sK12 @ mactual )
= $false )
| ( $true = $false )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( ( eiw_di @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(superposition,[status(thm)],[f923,f989]) ).
thf(f989,plain,
( ! [X0: $i] :
( ( ( in @ sK20 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f988]) ).
thf(f988,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( in @ sK20 @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f987,f861]) ).
thf(f861,plain,
( ( $true
= ( eiw_di @ sK20 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f859]) ).
thf(f987,plain,
( ! [X0: $i] :
( ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK20 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ sK20 @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f980]) ).
thf(f980,plain,
( ! [X0: $i] :
( ( ( in @ sK20 @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK20 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_12 ),
inference(superposition,[status(thm)],[f921,f658]) ).
thf(f658,plain,
( ! [X0: $i,X1: $i] :
( ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f657]) ).
thf(f657,definition,
( spl0_12
<=> ! [X0: $i,X1: $i] :
( ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f921,plain,
( ( $true
= ( qmltpeq @ sK18 @ sK20 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f918]) ).
thf(f918,plain,
( ( $true
= ( ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f916]) ).
thf(f916,plain,
( ( $true
= ( ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f914]) ).
thf(f914,plain,
( ( $true
= ( ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f912]) ).
thf(f912,plain,
( ( $true
= ( ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f910]) ).
thf(f910,plain,
( ( $true
= ( ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f908]) ).
thf(f908,plain,
( ( $true
= ( ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f906]) ).
thf(f906,plain,
( ( $true
= ( ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f904]) ).
thf(f904,plain,
( ( $true
= ( ~ ( qmltpeq @ sK18 @ sK19 @ mactual )
& ( fellow @ sK18 @ mactual )
& ( man @ sK18 @ mactual )
& ( young @ sK18 @ mactual )
& ( fellow @ sK19 @ mactual )
& ( man @ sK19 @ mactual )
& ( young @ sK19 @ mactual )
& ( qmltpeq @ sK18 @ sK20 @ mactual )
& ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f902]) ).
thf(f923,plain,
( ( $true
= ( in @ sK20 @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f920]) ).
thf(f920,plain,
( ( $true
= ( ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f918]) ).
thf(f867,plain,
( ( $true
= ( seat @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f864]) ).
thf(f977,plain,
( spl0_12
| spl0_11
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f976,f403,f223,f654,f657]) ).
thf(f654,definition,
( spl0_11
<=> ! [X2: $i,X3: $i] :
( ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition]) ).
thf(f976,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( seat @ X3 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f975]) ).
thf(f975,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f974,f911]) ).
thf(f911,plain,
( ( $true
= ( man @ sK18 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f908]) ).
thf(f974,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( man @ sK18 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f973]) ).
thf(f973,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f972,f919]) ).
thf(f919,plain,
( ( $true
= ( young @ sK19 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f916]) ).
thf(f972,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f971]) ).
thf(f971,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f970,f913]) ).
thf(f913,plain,
( ( $true
= ( young @ sK18 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f910]) ).
thf(f970,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f969]) ).
thf(f969,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f968,f857]) ).
thf(f857,plain,
( ( $true
= ( eiw_di @ sK19 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f855]) ).
thf(f968,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f967]) ).
thf(f967,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f966,f909]) ).
thf(f909,plain,
( ( $true
= ( fellow @ sK18 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f906]) ).
thf(f966,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f965]) ).
thf(f965,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( $true = $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f964,f853]) ).
thf(f853,plain,
( ( $true
= ( eiw_di @ sK18 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f851]) ).
thf(f964,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f963]) ).
thf(f963,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( front @ X3 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f962,f917]) ).
thf(f917,plain,
( ( $true
= ( man @ sK19 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f914]) ).
thf(f962,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f961]) ).
thf(f961,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( front @ X3 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f935,f915]) ).
thf(f915,plain,
( ( $true
= ( fellow @ sK19 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f912]) ).
thf(f935,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f934]) ).
thf(f934,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK19 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( ( qmltpeq @ sK18 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( young @ sK18 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f404,f926]) ).
thf(f926,plain,
( ( ( qmltpeq @ sK18 @ sK19 @ mactual )
= $false )
| spl0_2 ),
inference(not_proxy_clausification,[status(thm)],[f907]) ).
thf(f907,plain,
( ( $true
= ( ~ ( qmltpeq @ sK18 @ sK19 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f904]) ).
thf(f404,plain,
( ! [X2: $i,X10: $i,X1: $i,X8: $i,X9: $i,X7: $i] :
( ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( qmltpeq @ X8 @ X10 @ mactual )
= $false )
| ( ( in @ X10 @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f403]) ).
thf(f960,plain,
( spl0_2
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[status(thm)],[f959]) ).
thf(f959,plain,
( $false
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f958]) ).
thf(f958,plain,
( ( $true = $false )
| spl0_2
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f873,f957]) ).
thf(f957,plain,
( ( ( seat @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f956]) ).
thf(f956,plain,
( ( ( seat @ sK13 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f955,f875]) ).
thf(f875,plain,
( ( $true
= ( furniture @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f872]) ).
thf(f955,plain,
( ( ( furniture @ sK13 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f954]) ).
thf(f954,plain,
( ( ( furniture @ sK13 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f953,f877]) ).
thf(f877,plain,
( ( $true
= ( front @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f874]) ).
thf(f953,plain,
( ( ( front @ sK13 @ mactual )
= $false )
| ( ( furniture @ sK13 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f952]) ).
thf(f952,plain,
( ( ( furniture @ sK13 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( ( front @ sK13 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f951,f833]) ).
thf(f833,plain,
( ( $true
= ( eiw_di @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f831]) ).
thf(f951,plain,
( ( ( eiw_di @ sK13 @ mactual )
= $false )
| ( ( front @ sK13 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( ( furniture @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f949]) ).
thf(f949,plain,
( ( ( seat @ sK13 @ mactual )
= $false )
| ( ( front @ sK13 @ mactual )
= $false )
| ( $true = $false )
| ( ( furniture @ sK13 @ mactual )
= $false )
| ( ( eiw_di @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_11 ),
inference(superposition,[status(thm)],[f924,f942]) ).
thf(f942,plain,
( ! [X0: $i] :
( ( ( in @ sK21 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f941]) ).
thf(f941,plain,
( ! [X0: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ sK21 @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f940,f865]) ).
thf(f865,plain,
( ( $true
= ( eiw_di @ sK21 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f863]) ).
thf(f940,plain,
( ! [X0: $i] :
( ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK21 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ sK21 @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f937]) ).
thf(f937,plain,
( ! [X0: $i] :
( ( ( eiw_di @ sK21 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ sK21 @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_11 ),
inference(superposition,[status(thm)],[f925,f655]) ).
thf(f655,plain,
( ! [X2: $i,X3: $i] :
( ( ( qmltpeq @ sK19 @ X2 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[status(thm)],[f654]) ).
thf(f925,plain,
( ( $true
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f922]) ).
thf(f922,plain,
( ( $true
= ( ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f920]) ).
thf(f924,plain,
( ( $true
= ( in @ sK21 @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f922]) ).
thf(f873,plain,
( ( $true
= ( seat @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f870]) ).
thf(f821,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[status(thm)],[f820]) ).
thf(f820,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f819]) ).
thf(f819,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f734,f818]) ).
thf(f818,plain,
( ( ( seat @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f817]) ).
thf(f817,plain,
( ( ( seat @ sK3 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f816,f738]) ).
thf(f738,plain,
( ( $true
= ( front @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f735]) ).
thf(f735,plain,
( ( $true
= ( ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f733]) ).
thf(f733,plain,
( ( $true
= ( ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f731]) ).
thf(f731,plain,
( ( $true
= ( ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f729]) ).
thf(f729,plain,
( ( $true
= ( ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f727]) ).
thf(f727,plain,
( ( $true
= ( ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f725]) ).
thf(f725,plain,
( ( $true
= ( ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f724]) ).
thf(f724,plain,
( ( $true
= ( ( eiw_di @ sK11 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f723]) ).
thf(f723,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) )
@ sK11 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f715]) ).
thf(f715,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f714]) ).
thf(f714,plain,
( ( $true
= ( ( eiw_di @ sK10 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f713]) ).
thf(f713,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) )
@ sK10 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f711]) ).
thf(f711,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f710]) ).
thf(f710,plain,
( ( $true
= ( ( eiw_di @ sK9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f709]) ).
thf(f709,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) )
@ sK9 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f707]) ).
thf(f707,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f706]) ).
thf(f706,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f705]) ).
thf(f705,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) )
@ sK8 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f703]) ).
thf(f703,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f702]) ).
thf(f702,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f701]) ).
thf(f701,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK7 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f699]) ).
thf(f699,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f698]) ).
thf(f698,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f697]) ).
thf(f697,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK6 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f695]) ).
thf(f695,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f694]) ).
thf(f694,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f693]) ).
thf(f693,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK5 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f691]) ).
thf(f691,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f690]) ).
thf(f690,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f689]) ).
thf(f689,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f687]) ).
thf(f687,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f686]) ).
thf(f686,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f685]) ).
thf(f685,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f683]) ).
thf(f683,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f682]) ).
thf(f682,plain,
( ( $true
= ( ( 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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f681]) ).
thf(f681,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f220]) ).
thf(f816,plain,
( ( ( seat @ sK3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f815]) ).
thf(f815,plain,
( ( $true = $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f814,f736]) ).
thf(f736,plain,
( ( $true
= ( furniture @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f733]) ).
thf(f814,plain,
( ( ( furniture @ sK3 @ mactual )
= $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f813]) ).
thf(f813,plain,
( ( $true = $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f812,f688]) ).
thf(f688,plain,
( ( $true
= ( eiw_di @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f686]) ).
thf(f812,plain,
( ( ( eiw_di @ sK3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f810]) ).
thf(f810,plain,
( ( ( eiw_di @ sK3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| ( $true = $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(superposition,[status(thm)],[f785,f803]) ).
thf(f803,plain,
( ! [X0: $i] :
( ( ( in @ sK11 @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f802]) ).
thf(f802,plain,
( ! [X0: $i] :
( ( ( in @ sK11 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( furniture @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f801,f726]) ).
thf(f726,plain,
( ( $true
= ( eiw_di @ sK11 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f724]) ).
thf(f801,plain,
( ! [X0: $i] :
( ( ( front @ X0 @ mactual )
= $false )
| ( ( in @ sK11 @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK11 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f798]) ).
thf(f798,plain,
( ! [X0: $i] :
( ( ( eiw_di @ sK11 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ sK11 @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_8 ),
inference(superposition,[status(thm)],[f786,f438]) ).
thf(f438,plain,
( ! [X2: $i,X1: $i] :
( ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[status(thm)],[f437]) ).
thf(f437,definition,
( spl0_8
<=> ! [X2: $i,X1: $i] :
( ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
thf(f786,plain,
( ( $true
= ( qmltpeq @ sK9 @ sK11 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f783]) ).
thf(f783,plain,
( ( $true
= ( ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f781]) ).
thf(f781,plain,
( ( $true
= ( ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f779]) ).
thf(f779,plain,
( ( $true
= ( ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f777]) ).
thf(f777,plain,
( ( $true
= ( ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f775]) ).
thf(f775,plain,
( ( $true
= ( ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f773]) ).
thf(f773,plain,
( ( $true
= ( ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f771]) ).
thf(f771,plain,
( ( $true
= ( ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f769]) ).
thf(f769,plain,
( ( $true
= ( ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f767]) ).
thf(f767,plain,
( ( $true
= ( ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f765]) ).
thf(f765,plain,
( ( $true
= ( ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f763]) ).
thf(f763,plain,
( ( $true
= ( ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f761]) ).
thf(f761,plain,
( ( $true
= ( ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f759]) ).
thf(f759,plain,
( ( $true
= ( ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f757]) ).
thf(f757,plain,
( ( $true
= ( ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f755]) ).
thf(f755,plain,
( ( $true
= ( ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f753]) ).
thf(f753,plain,
( ( $true
= ( ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f751]) ).
thf(f751,plain,
( ( $true
= ( ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f749]) ).
thf(f749,plain,
( ( $true
= ( ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f747]) ).
thf(f747,plain,
( ( $true
= ( ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f745]) ).
thf(f745,plain,
( ( $true
= ( ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f743]) ).
thf(f743,plain,
( ( $true
= ( ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f741]) ).
thf(f741,plain,
( ( $true
= ( ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f739]) ).
thf(f739,plain,
( ( $true
= ( ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f737]) ).
thf(f737,plain,
( ( $true
= ( ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f735]) ).
thf(f785,plain,
( ( $true
= ( in @ sK11 @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f783]) ).
thf(f734,plain,
( ( $true
= ( seat @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f731]) ).
thf(f680,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f679]) ).
thf(f679,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f678]) ).
thf(f678,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f237,f221]) ).
thf(f237,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f235]) ).
thf(f235,definition,
( spl0_4
<=> ( $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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f514,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[status(thm)],[f513]) ).
thf(f513,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f512]) ).
thf(f512,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f230,f225]) ).
thf(f225,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f223]) ).
thf(f230,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f228]) ).
thf(f228,definition,
( spl0_3
<=> ( $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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f511,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f510]) ).
thf(f510,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f509]) ).
thf(f509,plain,
( ( $true = $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f287,f508]) ).
thf(f508,plain,
( ( ( seat @ sK2 @ mactual )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f507]) ).
thf(f507,plain,
( ( $true = $false )
| ( ( seat @ sK2 @ mactual )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f506,f291]) ).
thf(f291,plain,
( ( $true
= ( front @ sK2 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f288]) ).
thf(f288,plain,
( ( $true
= ( ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f286]) ).
thf(f286,plain,
( ( $true
= ( ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f284]) ).
thf(f284,plain,
( ( $true
= ( ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f283]) ).
thf(f283,plain,
( ( $true
= ( ( eiw_di @ sK11 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f282]) ).
thf(f282,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) )
@ sK11 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f280]) ).
thf(f280,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f279]) ).
thf(f279,plain,
( ( $true
= ( ( eiw_di @ sK10 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y0 @ mactual )
& ( in @ Y0 @ sK3 @ mactual ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f278]) ).
thf(f278,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) )
@ sK10 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f276]) ).
thf(f276,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f275]) ).
thf(f275,plain,
( ( $true
= ( ( eiw_di @ sK9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( in @ Y0 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ Y1 @ mactual )
& ( in @ Y1 @ sK3 @ mactual ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f274]) ).
thf(f274,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) )
@ sK9 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f272]) ).
thf(f272,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f271]) ).
thf(f271,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ Y0 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ sK8 @ Y1 @ mactual )
& ( in @ Y1 @ sK2 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK3 @ mactual ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f270]) ).
thf(f270,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) )
@ sK8 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f268]) ).
thf(f268,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f267]) ).
thf(f267,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ sK2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f266]) ).
thf(f266,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) )
@ sK7 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f264]) ).
thf(f264,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f263]) ).
thf(f263,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ Y0 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ sK2 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f262]) ).
thf(f262,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ sK6 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f260]) ).
thf(f260,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f259]) ).
thf(f259,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( barrel @ sK5 @ Y0 @ mactual )
& ( down @ sK5 @ Y1 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ sK2 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f258]) ).
thf(f258,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK5 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f256]) ).
thf(f256,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f255]) ).
thf(f255,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( barrel @ Y0 @ Y1 @ mactual )
& ( down @ Y0 @ Y2 @ mactual )
& ( in @ Y0 @ sK4 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ sK2 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f254]) ).
thf(f254,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK4 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f252]) ).
thf(f252,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f251]) ).
thf(f251,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( barrel @ Y1 @ Y2 @ mactual )
& ( down @ Y1 @ Y3 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ sK2 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK3 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f250]) ).
thf(f250,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK3 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f248]) ).
thf(f248,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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f247]) ).
thf(f247,plain,
( ( $true
= ( ( 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 )
& ( seat @ sK2 @ mactual )
& ( furniture @ sK2 @ mactual )
& ( front @ sK2 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( barrel @ Y2 @ Y3 @ mactual )
& ( down @ Y2 @ Y4 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ sK2 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ spl0_4 ),
inference(beta_eta_normalization,[status(thm)],[f246]) ).
thf(f246,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ sK2 ) )
| ~ spl0_4 ),
inference(sigma_clausification,[status(thm)],[f237]) ).
thf(f506,plain,
( ( ( front @ sK2 @ mactual )
= $false )
| ( ( seat @ sK2 @ mactual )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f505]) ).
thf(f505,plain,
( ( $true = $false )
| ( ( front @ sK2 @ mactual )
= $false )
| ( ( seat @ sK2 @ mactual )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f504,f249]) ).
thf(f249,plain,
( ( $true
= ( eiw_di @ sK2 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f247]) ).
thf(f504,plain,
( ( $false
= ( eiw_di @ sK2 @ mactual ) )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( ( front @ sK2 @ mactual )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f503]) ).
thf(f503,plain,
( ( ( front @ sK2 @ mactual )
= $false )
| ( $true = $false )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK2 @ mactual ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f502,f289]) ).
thf(f289,plain,
( ( $true
= ( furniture @ sK2 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f286]) ).
thf(f502,plain,
( ( ( furniture @ sK2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK2 @ mactual ) )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( ( front @ sK2 @ mactual )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f500]) ).
thf(f500,plain,
( ( ( front @ sK2 @ mactual )
= $false )
| ( ( furniture @ sK2 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( eiw_di @ sK2 @ mactual ) )
| ( ( seat @ sK2 @ mactual )
= $false )
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f344,f498]) ).
thf(f498,plain,
( ! [X0: $i] :
( ( ( in @ sK10 @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f497]) ).
thf(f497,plain,
( ! [X0: $i] :
( ( ( in @ sK10 @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f496,f281]) ).
thf(f281,plain,
( ( $true
= ( eiw_di @ sK10 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f279]) ).
thf(f496,plain,
( ! [X0: $i] :
( ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( in @ sK10 @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f494]) ).
thf(f494,plain,
( ! [X0: $i] :
( ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ sK10 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( $true = $false ) )
| ~ spl0_4
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f342,f435]) ).
thf(f435,plain,
( ! [X3: $i,X0: $i] :
( ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f434]) ).
thf(f434,definition,
( spl0_7
<=> ! [X0: $i,X3: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f342,plain,
( ( $true
= ( qmltpeq @ sK8 @ sK10 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f339]) ).
thf(f339,plain,
( ( $true
= ( ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f337]) ).
thf(f337,plain,
( ( $true
= ( ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f335]) ).
thf(f335,plain,
( ( $true
= ( ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f333]) ).
thf(f333,plain,
( ( $true
= ( ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f331]) ).
thf(f331,plain,
( ( $true
= ( ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f329]) ).
thf(f329,plain,
( ( $true
= ( ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f326]) ).
thf(f326,plain,
( ( $true
= ( ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f324]) ).
thf(f324,plain,
( ( $true
= ( ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f322]) ).
thf(f322,plain,
( ( $true
= ( ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f320]) ).
thf(f320,plain,
( ( $true
= ( ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f318]) ).
thf(f318,plain,
( ( $true
= ( ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f316]) ).
thf(f316,plain,
( ( $true
= ( ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f314]) ).
thf(f314,plain,
( ( $true
= ( ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f312]) ).
thf(f312,plain,
( ( $true
= ( ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f310]) ).
thf(f310,plain,
( ( $true
= ( ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f308]) ).
thf(f308,plain,
( ( $true
= ( ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f306]) ).
thf(f306,plain,
( ( $true
= ( ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f304]) ).
thf(f304,plain,
( ( $true
= ( ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f302]) ).
thf(f302,plain,
( ( $true
= ( ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f300]) ).
thf(f300,plain,
( ( $true
= ( ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f298]) ).
thf(f298,plain,
( ( $true
= ( ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f296]) ).
thf(f296,plain,
( ( $true
= ( ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f294]) ).
thf(f294,plain,
( ( $true
= ( ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f292]) ).
thf(f292,plain,
( ( $true
= ( ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f290]) ).
thf(f290,plain,
( ( $true
= ( ( seat @ sK3 @ mactual )
& ( furniture @ sK3 @ mactual )
& ( front @ sK3 @ mactual )
& ( hollywood @ sK4 @ mactual )
& ( city @ sK4 @ mactual )
& ( event @ sK5 @ mactual )
& ( chevy @ sK6 @ mactual )
& ( car @ sK6 @ mactual )
& ( white @ sK6 @ mactual )
& ( dirty @ sK6 @ mactual )
& ( old @ sK6 @ mactual )
& ( street @ sK7 @ mactual )
& ( way @ sK7 @ mactual )
& ( lonely @ sK7 @ mactual )
& ( barrel @ sK5 @ sK6 @ mactual )
& ( down @ sK5 @ sK7 @ mactual )
& ( in @ sK5 @ sK4 @ mactual )
& ~ ( qmltpeq @ sK8 @ sK9 @ mactual )
& ( fellow @ sK8 @ mactual )
& ( man @ sK8 @ mactual )
& ( young @ sK8 @ mactual )
& ( fellow @ sK9 @ mactual )
& ( man @ sK9 @ mactual )
& ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f288]) ).
thf(f344,plain,
( ( $true
= ( in @ sK10 @ sK2 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f341]) ).
thf(f341,plain,
( ( $true
= ( ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f339]) ).
thf(f287,plain,
( ( $true
= ( seat @ sK2 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f284]) ).
thf(f492,plain,
( spl0_10
| spl0_9
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f491,f406,f235,f474,f477]) ).
thf(f491,plain,
( ! [X0: $i,X1: $i] :
( ( ( city @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f490]) ).
thf(f490,plain,
( ! [X0: $i,X1: $i] :
( ( ( dirty @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f489,f319]) ).
thf(f319,plain,
( ( $true
= ( lonely @ sK7 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f316]) ).
thf(f489,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f488]) ).
thf(f488,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f487,f269]) ).
thf(f269,plain,
( ( $true
= ( eiw_di @ sK7 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f267]) ).
thf(f487,plain,
( ! [X0: $i,X1: $i] :
( ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f486]) ).
thf(f486,plain,
( ! [X0: $i,X1: $i] :
( ( ( lonely @ sK7 @ mactual )
= $false )
| ( $true = $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f485,f303]) ).
thf(f303,plain,
( ( $true
= ( event @ sK5 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f300]) ).
thf(f485,plain,
( ! [X0: $i,X1: $i] :
( ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f484]) ).
thf(f484,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f483,f315]) ).
thf(f315,plain,
( ( $true
= ( street @ sK7 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f312]) ).
thf(f483,plain,
( ! [X0: $i,X1: $i] :
( ( ( street @ sK7 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f482]) ).
thf(f482,plain,
( ! [X0: $i,X1: $i] :
( ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( $true = $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f481,f317]) ).
thf(f317,plain,
( ( $true
= ( way @ sK7 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f314]) ).
thf(f481,plain,
( ! [X0: $i,X1: $i] :
( ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f480]) ).
thf(f480,plain,
( ! [X0: $i,X1: $i] :
( ( ( way @ sK7 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f459,f261]) ).
thf(f261,plain,
( ( $true
= ( eiw_di @ sK5 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f259]) ).
thf(f459,plain,
( ! [X0: $i,X1: $i] :
( ( ( dirty @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK5 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f457]) ).
thf(f457,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK5 @ mactual )
= $false )
| ( ( old @ X0 @ mactual )
= $false )
| ( ( city @ X1 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f407,f323]) ).
thf(f323,plain,
( ( $true
= ( down @ sK5 @ sK7 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f320]) ).
thf(f456,plain,
( spl0_8
| spl0_7
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f455,f403,f235,f434,f437]) ).
thf(f455,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f454]) ).
thf(f454,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f453,f340]) ).
thf(f340,plain,
( ( $true
= ( young @ sK9 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f337]) ).
thf(f453,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f452]) ).
thf(f452,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f451,f334]) ).
thf(f334,plain,
( ( $true
= ( young @ sK8 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f331]) ).
thf(f451,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f450]) ).
thf(f450,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $true = $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f449,f330]) ).
thf(f330,plain,
( ( $true
= ( fellow @ sK8 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f326]) ).
thf(f449,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f448]) ).
thf(f448,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f447,f332]) ).
thf(f332,plain,
( ( $true
= ( man @ sK8 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f329]) ).
thf(f447,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f446]) ).
thf(f446,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( man @ sK8 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( $true = $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f445,f273]) ).
thf(f273,plain,
( ( $true
= ( eiw_di @ sK8 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f271]) ).
thf(f445,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f444]) ).
thf(f444,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f443,f277]) ).
thf(f277,plain,
( ( $true
= ( eiw_di @ sK9 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f275]) ).
thf(f443,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f442]) ).
thf(f442,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f441,f338]) ).
thf(f338,plain,
( ( $true
= ( man @ sK9 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f335]) ).
thf(f441,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f440]) ).
thf(f440,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $true = $false )
| ( ( young @ sK8 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f413,f336]) ).
thf(f336,plain,
( ( $true
= ( fellow @ sK9 @ mactual ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f333]) ).
thf(f413,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f409]) ).
thf(f409,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( fellow @ sK8 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X0 @ mactual )
= $false )
| ( ( man @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X1 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( fellow @ sK9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( qmltpeq @ sK8 @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ X3 @ X0 @ mactual )
= $false )
| ( ( man @ sK8 @ mactual )
= $false ) )
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f404,f328]) ).
thf(f328,plain,
( ( ( qmltpeq @ sK8 @ sK9 @ mactual )
= $false )
| ~ spl0_4 ),
inference(not_proxy_clausification,[status(thm)],[f327]) ).
thf(f327,plain,
( ( $true
= ( ~ ( qmltpeq @ sK8 @ sK9 @ mactual ) ) )
| ~ spl0_4 ),
inference(binary_proxy_clausification,[status(thm)],[f324]) ).
thf(f408,plain,
( spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f401,f223,f406,f403]) ).
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 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( in @ X10 @ X2 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( qmltpeq @ X8 @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) ) )
| ~ spl0_2 ),
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] :
( ( ( street @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false ) )
| ~ spl0_2 ),
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 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( chevy @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( young @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( event @ X4 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ X7 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( dirty @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( old @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( lonely @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( event @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( city @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( hollywood @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X10 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( ( eiw_di @ X10 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual ) )
@ X10 )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( ( eiw_di @ X9 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual ) ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false ) )
| ~ spl0_2 ),
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] :
( ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual ) ) ) )
@ X9 )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual ) ) ) ) ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 @ X4 @ mactual )
= $false )
| ( ( ( eiw_di @ X8 @ mactual )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ X8 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ X8 @ mactual )
& ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 )
| ( ( ^ [Y0: $i] :
( ( eiw_di @ Y0 @ mactual )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( eiw_di @ Y1 @ mactual )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual ) ) ) ) ) )
@ X8 )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ X7 @ Y0 @ mactual )
& ( fellow @ X7 @ mactual )
& ( man @ X7 @ mactual )
& ( young @ X7 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( qmltpeq @ X7 @ Y1 @ mactual )
& ( in @ Y1 @ X1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X2 @ mactual ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f359]) ).
thf(f359,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) )
@ X7 )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f358]) ).
thf(f358,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f357]) ).
thf(f357,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( ( 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ X6 @ mactual )
& ( car @ X6 @ mactual )
& ( white @ X6 @ mactual )
& ( dirty @ X6 @ mactual )
& ( old @ X6 @ mactual )
& ( barrel @ X4 @ X6 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y0 @ Y1 @ mactual )
& ( fellow @ Y0 @ mactual )
& ( man @ Y0 @ mactual )
& ( young @ Y0 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( qmltpeq @ Y0 @ Y2 @ mactual )
& ( in @ Y2 @ X1 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) )
@ X6 )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f354]) ).
thf(f354,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( ( 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ X5 @ mactual )
& ( way @ X5 @ mactual )
& ( lonely @ X5 @ mactual )
& ( chevy @ Y0 @ mactual )
& ( car @ Y0 @ mactual )
& ( white @ Y0 @ mactual )
& ( dirty @ Y0 @ mactual )
& ( old @ Y0 @ mactual )
& ( barrel @ X4 @ Y0 @ mactual )
& ( down @ X4 @ X5 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y1 @ Y2 @ mactual )
& ( fellow @ Y1 @ mactual )
& ( man @ Y1 @ mactual )
& ( young @ Y1 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( qmltpeq @ Y1 @ Y3 @ mactual )
& ( in @ Y3 @ X1 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_2 ),
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 )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ 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 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( barrel @ X4 @ Y1 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) )
@ X5 )
= $false ) )
| ~ spl0_2 ),
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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( barrel @ X4 @ Y1 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f351]) ).
thf(f351,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X1 @ 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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ X4 @ mactual )
& ( street @ Y0 @ mactual )
& ( way @ Y0 @ mactual )
& ( lonely @ Y0 @ mactual )
& ( chevy @ Y1 @ mactual )
& ( car @ Y1 @ mactual )
& ( white @ Y1 @ mactual )
& ( dirty @ Y1 @ mactual )
& ( old @ Y1 @ mactual )
& ( barrel @ X4 @ Y1 @ mactual )
& ( down @ X4 @ Y0 @ mactual )
& ( in @ X4 @ X3 @ mactual )
& ~ ( qmltpeq @ Y2 @ Y3 @ mactual )
& ( fellow @ Y2 @ mactual )
& ( man @ Y2 @ mactual )
& ( young @ Y2 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( qmltpeq @ Y2 @ Y4 @ mactual )
& ( in @ Y4 @ X1 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f350]) ).
thf(f350,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ 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 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( eiw_di @ Y5 @ mactual )
& ( ?? @ $i
@ ^ [Y6: $i] :
( ( eiw_di @ Y6 @ mactual )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X4 )
= $false ) )
| ~ spl0_2 ),
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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f348]) ).
thf(f348,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ X3 @ mactual )
& ( city @ X3 @ mactual )
& ( event @ Y0 @ mactual )
& ( street @ Y1 @ mactual )
& ( way @ Y1 @ mactual )
& ( lonely @ Y1 @ mactual )
& ( chevy @ Y2 @ mactual )
& ( car @ Y2 @ mactual )
& ( white @ Y2 @ mactual )
& ( dirty @ Y2 @ mactual )
& ( old @ Y2 @ mactual )
& ( barrel @ Y0 @ Y2 @ mactual )
& ( down @ Y0 @ Y1 @ mactual )
& ( in @ Y0 @ X3 @ mactual )
& ~ ( qmltpeq @ Y3 @ Y4 @ mactual )
& ( fellow @ Y3 @ mactual )
& ( man @ Y3 @ mactual )
& ( young @ Y3 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( qmltpeq @ Y3 @ Y5 @ mactual )
& ( in @ Y5 @ X1 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f347]) ).
thf(f347,plain,
( ! [X2: $i,X3: $i,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X3 )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f245]) ).
thf(f245,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f244]) ).
thf(f244,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ X2 @ mactual )
& ( furniture @ X2 @ mactual )
& ( front @ X2 @ mactual )
& ( hollywood @ Y0 @ mactual )
& ( city @ Y0 @ mactual )
& ( event @ Y1 @ mactual )
& ( street @ Y2 @ mactual )
& ( way @ Y2 @ mactual )
& ( lonely @ Y2 @ mactual )
& ( chevy @ Y3 @ mactual )
& ( car @ Y3 @ mactual )
& ( white @ Y3 @ mactual )
& ( dirty @ Y3 @ mactual )
& ( old @ Y3 @ mactual )
& ( barrel @ Y1 @ Y3 @ mactual )
& ( down @ Y1 @ Y2 @ mactual )
& ( in @ Y1 @ Y0 @ mactual )
& ~ ( qmltpeq @ Y4 @ Y5 @ mactual )
& ( fellow @ Y4 @ mactual )
& ( man @ Y4 @ mactual )
& ( young @ Y4 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( qmltpeq @ Y4 @ Y6 @ mactual )
& ( in @ Y6 @ X1 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X2 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f243]) ).
thf(f243,plain,
( ! [X2: $i,X1: $i] :
( ( ( 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 )
& ( ?? @ $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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X2 )
= $false ) )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f242]) ).
thf(f242,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f241]) ).
thf(f241,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 )
& ( seat @ X1 @ mactual )
& ( furniture @ X1 @ mactual )
& ( front @ X1 @ mactual )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( hollywood @ Y1 @ mactual )
& ( city @ Y1 @ mactual )
& ( event @ Y2 @ mactual )
& ( street @ Y3 @ mactual )
& ( way @ Y3 @ mactual )
& ( lonely @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( barrel @ Y2 @ Y4 @ mactual )
& ( down @ Y2 @ Y3 @ mactual )
& ( in @ Y2 @ Y1 @ mactual )
& ~ ( qmltpeq @ Y5 @ Y6 @ mactual )
& ( fellow @ Y5 @ mactual )
& ( man @ Y5 @ mactual )
& ( young @ Y5 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( qmltpeq @ Y5 @ Y7 @ mactual )
& ( in @ Y7 @ X1 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f240]) ).
thf(f240,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ X1 )
= $false )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f225]) ).
thf(f239,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[status(thm)],[f233,f235,f228]) ).
thf(f233,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ( $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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f213]) ).
thf(f213,plain,
( ( $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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f172]) ).
thf(f172,plain,
( $true
= ( ~ ( ^ [Y0: mworld > $o] : ( Y0 @ mactual )
@ ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ 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] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( seat @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( furniture @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( front @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( seat @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( furniture @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( front @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( hollywood @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( city @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( event @ Y3 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( street @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( way @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( lonely @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( chevy @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( car @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( white @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( dirty @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( old @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( barrel @ Y3 @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( down @ Y3 @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( in @ Y3 @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld] :
~ ( Y10 @ Y11 )
@ ( qmltpeq @ Y6 @ Y7 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( fellow @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( man @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( young @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( fellow @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( man @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( young @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( qmltpeq @ Y6 @ Y8 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( in @ Y8 @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ 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] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( seat @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( furniture @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( front @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( seat @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( furniture @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( front @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( hollywood @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( city @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( event @ Y3 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( chevy @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( car @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( white @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( dirty @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( old @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( street @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( way @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( lonely @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( barrel @ Y3 @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( down @ Y3 @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( in @ Y3 @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld] :
~ ( Y10 @ Y11 )
@ ( qmltpeq @ Y6 @ Y7 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( fellow @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( man @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( young @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( fellow @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( man @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( young @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( qmltpeq @ Y6 @ Y8 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( in @ Y8 @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ 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] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( seat @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( furniture @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( front @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( seat @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( furniture @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( front @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( hollywood @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( city @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( event @ Y3 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( chevy @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( car @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( white @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( dirty @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( old @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( street @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( way @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( lonely @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( barrel @ Y3 @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( down @ Y3 @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( in @ Y3 @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld] :
~ ( Y10 @ Y11 )
@ ( qmltpeq @ Y6 @ Y7 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( fellow @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( man @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( young @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( fellow @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( man @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( young @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( qmltpeq @ Y6 @ Y8 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( in @ Y8 @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ 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] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( seat @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( furniture @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( front @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( seat @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( furniture @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( front @ Y1 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( hollywood @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( city @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( event @ Y3 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( street @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( way @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( lonely @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( chevy @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( car @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( white @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( dirty @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( old @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( barrel @ Y3 @ Y5 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( down @ Y3 @ Y4 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( in @ Y3 @ Y2 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld] :
~ ( Y10 @ Y11 )
@ ( qmltpeq @ Y6 @ Y7 ) )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( fellow @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( man @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( young @ Y6 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( fellow @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( man @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( young @ Y7 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( qmltpeq @ Y6 @ Y8 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( in @ Y8 @ Y0 )
@ ( ^ [Y10: mworld > $o,Y11: mworld > $o,Y12: mworld] :
( ( Y10 @ Y12 )
& ( Y11 @ Y12 ) )
@ ( qmltpeq @ Y7 @ Y9 )
@ ( in @ Y9 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[status(thm)],[f139,f142,f133,f122,f150,f150,f150,f150,f150,f150,f150,f150,f150,f150,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f132,f133,f133,f133,f133,f133,f133,f133,f133,f133,f150,f150,f150,f150,f150,f150,f150,f150,f150,f150,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f132,f133,f133,f133,f133,f133,f133,f133,f133,f133,f122,f150,f150,f150,f150,f150,f150,f150,f150,f150,f150,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f132,f133,f133,f133,f133,f133,f133,f133,f133,f133,f150,f150,f150,f150,f150,f150,f150,f150,f150,f150,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f132,f133,f133,f133,f133,f133,f133,f133,f133,f133]) ).
thf(f132,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
thf(f55,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[status(thm)],[f54]) ).
thf(f54,plain,
( mnot
= ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
( mnot
= ( ^ [X1: mworld > $o,X2: mworld] :
~ ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mnot_def) ).
thf(f150,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
thf(f75,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( eiw_di @ Y2 @ Y1 )
& ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f74]) ).
thf(f74,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.XNTYEAXYI6/DTF2THF_29700.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)],[f114]) ).
thf(f114,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f113]) ).
thf(f113,plain,
( mimplies
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
( mimplies
= ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
=> ( X3 @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mimplies_def) ).
thf(f133,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
thf(f73,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f72]) ).
thf(f72,plain,
( mand
= ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
& ( X0 @ X2 ) ) ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,axiom,
( mand
= ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X3 @ X2 )
& ( X1 @ X2 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mand_def) ).
thf(f142,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
thf(f104,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
( ( ^ [X0: mworld > $o] : ( X0 @ mactual ) )
= mlocal ),
file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mlocal_def) ).
thf(f139,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)],[f69]) ).
thf(f69,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)],[f68]) ).
thf(f68,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.XNTYEAXYI6/DTF2THF_29700.p',co1) ).
thf(f226,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f216,f223,f219]) ).
thf(f216,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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( street @ Y4 @ mactual )
& ( way @ Y4 @ mactual )
& ( lonely @ Y4 @ mactual )
& ( chevy @ Y5 @ mactual )
& ( car @ Y5 @ mactual )
& ( white @ Y5 @ mactual )
& ( dirty @ Y5 @ mactual )
& ( old @ Y5 @ mactual )
& ( barrel @ Y3 @ Y5 @ mactual )
& ( down @ Y3 @ Y4 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ 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 )
& ( seat @ Y0 @ mactual )
& ( furniture @ Y0 @ mactual )
& ( front @ Y0 @ mactual )
& ( seat @ Y1 @ mactual )
& ( furniture @ Y1 @ mactual )
& ( front @ Y1 @ mactual )
& ( hollywood @ Y2 @ mactual )
& ( city @ Y2 @ mactual )
& ( event @ Y3 @ mactual )
& ( chevy @ Y4 @ mactual )
& ( car @ Y4 @ mactual )
& ( white @ Y4 @ mactual )
& ( dirty @ Y4 @ mactual )
& ( old @ Y4 @ mactual )
& ( street @ Y5 @ mactual )
& ( way @ Y5 @ mactual )
& ( lonely @ Y5 @ mactual )
& ( barrel @ Y3 @ Y4 @ mactual )
& ( down @ Y3 @ Y5 @ mactual )
& ( in @ Y3 @ Y2 @ mactual )
& ~ ( qmltpeq @ Y6 @ Y7 @ mactual )
& ( fellow @ Y6 @ mactual )
& ( man @ Y6 @ mactual )
& ( young @ Y6 @ mactual )
& ( fellow @ Y7 @ mactual )
& ( man @ Y7 @ mactual )
& ( young @ Y7 @ mactual )
& ( qmltpeq @ Y6 @ Y8 @ mactual )
& ( in @ Y8 @ Y0 @ mactual )
& ( qmltpeq @ Y7 @ Y9 @ mactual )
& ( in @ Y9 @ Y1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NLP004^12 : TPTP v9.2.1. Released v8.1.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n023.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 10:44:19 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.45 ---- Original DTF file ---
% 0.20/0.45 thf(spec,logic,$$dhol).
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 % File : NLP004^12 : TPTP v9.2.1. Released v8.1.0.
% 0.20/0.45 % Domain : Natural Language Processing
% 0.20/0.45 % Problem : "The old dirty white Chevy" problem 4
% 0.20/0.45 % Version : [BP13] axioms.
% 0.20/0.45 % English :
% 0.20/0.45
% 0.20/0.45 % Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.20/0.45 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.20/0.45 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.20/0.45 % Source : [TPTP]
% 0.20/0.45 % Names : NLP004+1 [QMLTP]
% 0.20/0.45
% 0.20/0.45 % Status : Theorem
% 0.20/0.45 % Rating : 0.56 v9.1.0, 0.50 v9.0.0, 0.60 v8.2.0, 0.62 v8.1.0
% 0.20/0.45 % Syntax : Number of formulae : 74 ( 12 unt; 35 typ; 10 def)
% 0.20/0.45 % Number of atoms : 526 ( 10 equ; 0 cnn)
% 0.20/0.45 % Maximal formula atoms : 292 ( 13 avg)
% 0.20/0.45 % Number of connectives : 782 ( 1 ~; 1 |; 3 &; 773 @)
% 0.20/0.45 % ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% 0.20/0.45 % Maximal formula depth : 59 ( 10 avg)
% 0.20/0.45 % Number of types : 3 ( 1 usr)
% 0.20/0.45 % Number of type conns : 105 ( 105 >; 0 *; 0 +; 0 <<)
% 0.20/0.45 % Number of symbols : 35 ( 34 usr; 1 con; 0-3 aty)
% 0.20/0.45 % Number of variables : 129 ( 121 ^; 5 !; 3 ?; 129 :)
% 0.20/0.45 % SPC : TH0_THM_EQU_NAR
% 0.20/0.45
% 0.20/0.45 % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.20/0.45 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.20/0.45 % 'modal' embedding, version 1.5.2. Logic specification used:
% 0.20/0.45 % $modal == [$constants == $rigid,$quantification == $varying,
% 0.20/0.45 % $modalities == $modal_system_S5U].
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 thf(mworld,type,
% 0.20/0.45 mworld: $tType ).
% 0.20/0.45
% 0.20/0.45 thf(mrel_type,type,
% 0.20/0.45 mrel: mworld > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mactual_type,type,
% 0.20/0.45 mactual: mworld ).
% 0.20/0.45
% 0.20/0.45 thf(mlocal_type,type,
% 0.20/0.45 mlocal: ( mworld > $o ) > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mlocal_def,definition,
% 0.20/0.45 ( mlocal
% 0.20/0.45 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mnot_type,type,
% 0.20/0.45 mnot: ( mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mand_type,type,
% 0.20/0.45 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mor_type,type,
% 0.20/0.45 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mimplies_type,type,
% 0.20/0.45 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mequiv_type,type,
% 0.20/0.45 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mnot_def,definition,
% 0.20/0.45 ( mnot
% 0.20/0.45 = ( ^ [A: mworld > $o,W: mworld] :
% 0.20/0.45 ~ ( A @ W ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mand_def,definition,
% 0.20/0.45 ( mand
% 0.20/0.45 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.45 ( ( A @ W )
% 0.20/0.45 & ( B @ W ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mor_def,definition,
% 0.20/0.45 ( mor
% 0.20/0.45 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.45 ( ( A @ W )
% 0.20/0.45 | ( B @ W ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mimplies_def,definition,
% 0.20/0.45 ( mimplies
% 0.20/0.45 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.45 ( ( A @ W )
% 0.20/0.45 => ( B @ W ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mequiv_def,definition,
% 0.20/0.45 ( mequiv
% 0.20/0.45 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.20/0.45 ( ( A @ W )
% 0.20/0.45 <=> ( B @ W ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mbox_type,type,
% 0.20/0.45 mbox: ( mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mbox_def,definition,
% 0.20/0.45 ( mbox
% 0.20/0.45 = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.20/0.45 ! [V: mworld] :
% 0.20/0.45 ( ( mrel @ W @ V )
% 0.20/0.45 => ( Phi @ V ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mdia_type,type,
% 0.20/0.45 mdia: ( mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mdia_def,definition,
% 0.20/0.45 ( mdia
% 0.20/0.45 = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.20/0.45 ? [V: mworld] :
% 0.20/0.45 ( ( mrel @ W @ V )
% 0.20/0.45 & ( Phi @ V ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mrel_universal,axiom,
% 0.20/0.45 ! [W: mworld,V: mworld] : ( mrel @ W @ V ) ).
% 0.20/0.45
% 0.20/0.45 thf(eiw_di_type,type,
% 0.20/0.45 eiw_di: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(eiw_di_nonempty,axiom,
% 0.20/0.45 ! [W: mworld] :
% 0.20/0.45 ? [X: $i] : ( eiw_di @ X @ W ) ).
% 0.20/0.45
% 0.20/0.45 thf(mforall_di_type,type,
% 0.20/0.45 mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mforall_di_def,definition,
% 0.20/0.45 ( mforall_di
% 0.20/0.45 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.20/0.45 ! [X: $i] :
% 0.20/0.45 ( ( eiw_di @ X @ W )
% 0.20/0.45 => ( A @ X @ W ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(mexists_di_type,type,
% 0.20/0.45 mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(mexists_di_def,definition,
% 0.20/0.45 ( mexists_di
% 0.20/0.45 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.20/0.45 ? [X: $i] :
% 0.20/0.45 ( ( eiw_di @ X @ W )
% 0.20/0.45 & ( A @ X @ W ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 %%% This output was generated by tptputils, version 1.2.
% 0.20/0.45 %%% Generated on Wed Apr 27 15:37:27 CEST 2022 using command 'downgrade(tff)'.
% 0.20/0.45 thf(chevy_decl,type,
% 0.20/0.45 chevy: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(dirty_decl,type,
% 0.20/0.45 dirty: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(barrel_decl,type,
% 0.20/0.45 barrel: $i > $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(hollywood_decl,type,
% 0.20/0.45 hollywood: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(city_decl,type,
% 0.20/0.45 city: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(in_decl,type,
% 0.20/0.45 in: $i > $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(young_decl,type,
% 0.20/0.45 young: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(old_decl,type,
% 0.20/0.45 old: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(down_decl,type,
% 0.20/0.45 down: $i > $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(way_decl,type,
% 0.20/0.45 way: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(qmltpeq_decl,type,
% 0.20/0.45 qmltpeq: $i > $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(seat_decl,type,
% 0.20/0.45 seat: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(white_decl,type,
% 0.20/0.45 white: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(car_decl,type,
% 0.20/0.45 car: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(furniture_decl,type,
% 0.20/0.45 furniture: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(street_decl,type,
% 0.20/0.45 street: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(fellow_decl,type,
% 0.20/0.45 fellow: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(front_decl,type,
% 0.20/0.45 front: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(man_decl,type,
% 0.20/0.45 man: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(event_decl,type,
% 0.20/0.45 event: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(lonely_decl,type,
% 0.20/0.45 lonely: $i > mworld > $o ).
% 0.20/0.45
% 0.20/0.45 thf(reflexivity,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(symmetry,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [X: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(transitivity,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [X: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [Y: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(barrel_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(barrel_substitution_2,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(car_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(chevy_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(city_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(dirty_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(down_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(down_substitution_2,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(event_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(fellow_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( fellow @ A ) ) @ ( fellow @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(front_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( front @ A ) ) @ ( front @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(furniture_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( furniture @ A ) ) @ ( furniture @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(hollywood_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(in_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(in_substitution_2,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(lonely_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(man_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(old_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(seat_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( seat @ A ) ) @ ( seat @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(street_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(way_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(white_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(young_substitution_1,axiom,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mforall_di
% 0.20/0.45 @ ^ [A: $i] :
% 0.20/0.45 ( mforall_di
% 0.20/0.45 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( young @ A ) ) @ ( young @ B ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 thf(co1,conjecture,
% 0.20/0.45 ( mlocal
% 0.20/0.45 @ ( mand
% 0.20/0.45 @ ( mimplies
% 0.20/0.45 @ ( mexists_di
% 0.20/0.45 @ ^ [U: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [V: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [W: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [Y: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [Z: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X1: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X2: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X4: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.20/0.45 @ ( mexists_di
% 0.20/0.45 @ ^ [X6: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X7: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X8: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X9: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X10: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X11: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X12: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X13: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X15: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.20/0.45 @ ( mimplies
% 0.20/0.45 @ ( mexists_di
% 0.20/0.45 @ ^ [X17: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X18: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X19: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X20: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X21: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X22: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X23: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X24: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X26: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.20/0.45 @ ( mexists_di
% 0.20/0.45 @ ^ [X28: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X29: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X30: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X31: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X32: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X33: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X34: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X35: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [X37: $i] :
% 0.20/0.45 ( mexists_di
% 0.20/0.45 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.20/0.45
% 0.20/0.45 %------------------------------------------------------------------------------
% 0.20/0.45 ------------------------
% 2.05/1.59 ---- Embedded in THF ---
% 2.05/1.59 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.05/1.59 %%% Generated on Tue Feb 24 10:44:20 EST 2026
% 2.05/1.59 %%% using '$$dhol' embedding, version 1.3.0.
% 2.05/1.59 %%% Logic specification used:
% 2.05/1.59 %%% thf(spec, logic, $$dhol).
% 2.05/1.59
% 2.05/1.59 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2DTF29700.p
% See solution above
% 2.05/1.59 ------------------------
% 2.28/1.61 ---- Cleaned THF ---
% 2.28/1.61 thf(mworld,type,
% 2.28/1.61 mworld: $tType ).
% 2.28/1.61
% 2.28/1.61 thf(mrel_type,type,
% 2.28/1.61 mrel: mworld > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mactual_type,type,
% 2.28/1.61 mactual: mworld ).
% 2.28/1.61
% 2.28/1.61 thf(mlocal_type,type,
% 2.28/1.61 mlocal: ( mworld > $o ) > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mlocal_def,definition,
% 2.28/1.61 ( mlocal
% 2.28/1.61 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mnot_type,type,
% 2.28/1.61 mnot: ( mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mand_type,type,
% 2.28/1.61 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mor_type,type,
% 2.28/1.61 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mimplies_type,type,
% 2.28/1.61 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mequiv_type,type,
% 2.28/1.61 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mnot_def,definition,
% 2.28/1.61 ( mnot
% 2.28/1.61 = ( ^ [A: mworld > $o,W: mworld] :
% 2.28/1.61 ~ ( A @ W ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mand_def,definition,
% 2.28/1.61 ( mand
% 2.28/1.61 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.28/1.61 ( ( A @ W )
% 2.28/1.61 & ( B @ W ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mor_def,definition,
% 2.28/1.61 ( mor
% 2.28/1.61 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.28/1.61 ( ( A @ W )
% 2.28/1.61 | ( B @ W ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mimplies_def,definition,
% 2.28/1.61 ( mimplies
% 2.28/1.61 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.28/1.61 ( ( A @ W )
% 2.28/1.61 => ( B @ W ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mequiv_def,definition,
% 2.28/1.61 ( mequiv
% 2.28/1.61 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.28/1.61 ( ( A @ W )
% 2.28/1.61 <=> ( B @ W ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mbox_type,type,
% 2.28/1.61 mbox: ( mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mbox_def,definition,
% 2.28/1.61 ( mbox
% 2.28/1.61 = ( ^ [Phi: mworld > $o,W: mworld] :
% 2.28/1.61 ! [V: mworld] :
% 2.28/1.61 ( ( mrel @ W @ V )
% 2.28/1.61 => ( Phi @ V ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mdia_type,type,
% 2.28/1.61 mdia: ( mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mdia_def,definition,
% 2.28/1.61 ( mdia
% 2.28/1.61 = ( ^ [Phi: mworld > $o,W: mworld] :
% 2.28/1.61 ? [V: mworld] :
% 2.28/1.61 ( ( mrel @ W @ V )
% 2.28/1.61 & ( Phi @ V ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mrel_universal,axiom,
% 2.28/1.61 ! [W: mworld,V: mworld] : ( mrel @ W @ V ) ).
% 2.28/1.61
% 2.28/1.61 thf(eiw_di_type,type,
% 2.28/1.61 eiw_di: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(eiw_di_nonempty,axiom,
% 2.28/1.61 ! [W: mworld] :
% 2.28/1.61 ? [X: $i] : ( eiw_di @ X @ W ) ).
% 2.28/1.61
% 2.28/1.61 thf(mforall_di_type,type,
% 2.28/1.61 mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mforall_di_def,definition,
% 2.28/1.61 ( mforall_di
% 2.28/1.61 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 2.28/1.61 ! [X: $i] :
% 2.28/1.61 ( ( eiw_di @ X @ W )
% 2.28/1.61 => ( A @ X @ W ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(mexists_di_type,type,
% 2.28/1.61 mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(mexists_di_def,definition,
% 2.28/1.61 ( mexists_di
% 2.28/1.61 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 2.28/1.61 ? [X: $i] :
% 2.28/1.61 ( ( eiw_di @ X @ W )
% 2.28/1.61 & ( A @ X @ W ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(chevy_decl,type,
% 2.28/1.61 chevy: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(dirty_decl,type,
% 2.28/1.61 dirty: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(barrel_decl,type,
% 2.28/1.61 barrel: $i > $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(hollywood_decl,type,
% 2.28/1.61 hollywood: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(city_decl,type,
% 2.28/1.61 city: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(in_decl,type,
% 2.28/1.61 in: $i > $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(young_decl,type,
% 2.28/1.61 young: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(old_decl,type,
% 2.28/1.61 old: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(down_decl,type,
% 2.28/1.61 down: $i > $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(way_decl,type,
% 2.28/1.61 way: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(qmltpeq_decl,type,
% 2.28/1.61 qmltpeq: $i > $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(seat_decl,type,
% 2.28/1.61 seat: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(white_decl,type,
% 2.28/1.61 white: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(car_decl,type,
% 2.28/1.61 car: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(furniture_decl,type,
% 2.28/1.61 furniture: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(street_decl,type,
% 2.28/1.61 street: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(fellow_decl,type,
% 2.28/1.61 fellow: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(front_decl,type,
% 2.28/1.61 front: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(man_decl,type,
% 2.28/1.61 man: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(event_decl,type,
% 2.28/1.61 event: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(lonely_decl,type,
% 2.28/1.61 lonely: $i > mworld > $o ).
% 2.28/1.61
% 2.28/1.61 thf(reflexivity,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(symmetry,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [X: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(transitivity,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [X: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [Y: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(barrel_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(barrel_substitution_2,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(car_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(chevy_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(city_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(dirty_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(down_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(down_substitution_2,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(event_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(fellow_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( fellow @ A ) ) @ ( fellow @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(front_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( front @ A ) ) @ ( front @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(furniture_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( furniture @ A ) ) @ ( furniture @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(hollywood_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(in_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(in_substitution_2,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(lonely_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(man_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(old_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(seat_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( seat @ A ) ) @ ( seat @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(street_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(way_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(white_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(young_substitution_1,axiom,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mforall_di
% 2.28/1.61 @ ^ [A: $i] :
% 2.28/1.61 ( mforall_di
% 2.28/1.61 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( young @ A ) ) @ ( young @ B ) ) ) ) ) ).
% 2.28/1.61
% 2.28/1.61 thf(co1,conjecture,
% 2.28/1.61 ( mlocal
% 2.28/1.61 @ ( mand
% 2.28/1.61 @ ( mimplies
% 2.28/1.61 @ ( mexists_di
% 2.28/1.61 @ ^ [U: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [V: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [W: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [Y: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [Z: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X1: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X2: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X4: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.28/1.61 @ ( mexists_di
% 2.28/1.61 @ ^ [X6: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X7: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X8: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X9: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X10: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X11: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X12: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X13: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X15: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.28/1.61 @ ( mimplies
% 2.28/1.61 @ ( mexists_di
% 2.28/1.61 @ ^ [X17: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X18: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X19: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X20: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X21: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X22: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X23: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X24: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X26: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.28/1.61 @ ( mexists_di
% 2.28/1.61 @ ^ [X28: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X29: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X30: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X31: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X32: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X33: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X34: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X35: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [X37: $i] :
% 2.28/1.61 ( mexists_di
% 2.28/1.61 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.28/1.61 ------------------------
% 2.28/1.63 % (29804)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/18Mi)
% 2.28/1.63 % (29802)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_29700 for (2999ds/2Mi)
% 2.28/1.63 % (29798)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/183Mi)
% 2.28/1.63 % (29800)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_29700 for (2999ds/27Mi)
% 2.28/1.63 % (29803)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_29700 for (2999ds/275Mi)
% 2.28/1.63 % (29801)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/2Mi)
% 2.28/1.63 % (29799)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_29700 for (2999ds/4Mi)
% 2.28/1.63 % (29802)Instruction limit reached!
% 2.28/1.63 % (29802)------------------------------
% 2.28/1.63 % (29802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.63 % (29802)Termination reason: Unknown
% 2.28/1.64 % (29802)Termination phase: shuffling
% 2.28/1.64
% 2.28/1.64 % (29802)Memory used [KB]: 1023
% 2.28/1.64 % (29802)Time elapsed: 0.003 s
% 2.28/1.64 % (29802)Instructions burned: 2 (million)
% 2.28/1.64 % (29802)------------------------------
% 2.28/1.64 % (29802)------------------------------
% 2.28/1.64 % (29801)Instruction limit reached!
% 2.28/1.64 % (29801)------------------------------
% 2.28/1.64 % (29801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.64 % (29801)Termination reason: Unknown
% 2.28/1.64 % (29801)Termination phase: shuffling
% 2.28/1.64
% 2.28/1.64 % (29801)Memory used [KB]: 1151
% 2.28/1.64 % (29801)Time elapsed: 0.004 s
% 2.28/1.64 % (29801)Instructions burned: 4 (million)
% 2.28/1.64 % (29801)------------------------------
% 2.28/1.64 % (29801)------------------------------
% 2.28/1.64 % (29799)Instruction limit reached!
% 2.28/1.64 % (29799)------------------------------
% 2.28/1.64 % (29799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.64 % (29799)Termination reason: Unknown
% 2.28/1.64 % (29799)Termination phase: shuffling
% 2.28/1.64
% 2.28/1.64 % (29799)Memory used [KB]: 1151
% 2.28/1.64 % (29799)Time elapsed: 0.004 s
% 2.28/1.64 % (29799)Instructions burned: 6 (million)
% 2.28/1.64 % (29799)------------------------------
% 2.28/1.64 % (29799)------------------------------
% 2.28/1.64 % (29804)Instruction limit reached!
% 2.28/1.64 % (29804)------------------------------
% 2.28/1.64 % (29804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.64 % (29804)Termination reason: Unknown
% 2.28/1.64 % (29804)Termination phase: Property scanning
% 2.28/1.64
% 2.28/1.64 % (29804)Memory used [KB]: 1279
% 2.28/1.64 % (29804)Time elapsed: 0.010 s
% 2.28/1.64 % (29804)Instructions burned: 18 (million)
% 2.28/1.64 % (29804)------------------------------
% 2.28/1.64 % (29804)------------------------------
% 2.28/1.65 % (29800)Instruction limit reached!
% 2.28/1.65 % (29800)------------------------------
% 2.28/1.65 % (29800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.65 % (29800)Termination reason: Unknown
% 2.28/1.65 % (29800)Termination phase: Property scanning
% 2.28/1.65
% 2.28/1.65 % (29800)Memory used [KB]: 1279
% 2.28/1.65 % (29800)Time elapsed: 0.013 s
% 2.28/1.65 % (29800)Instructions burned: 27 (million)
% 2.28/1.65 % (29800)------------------------------
% 2.28/1.65 % (29800)------------------------------
% 2.28/1.65 % (29805)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/3Mi)
% 2.28/1.65 % (29806)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_29700 for (2999ds/37Mi)
% 2.28/1.65 % (29807)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_29700 for (2999ds/15Mi)
% 2.28/1.65 % (29805)Instruction limit reached!
% 2.28/1.65 % (29805)------------------------------
% 2.28/1.65 % (29805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.65 % (29805)Termination reason: Unknown
% 2.28/1.65 % (29805)Termination phase: shuffling
% 2.28/1.65
% 2.28/1.65 % (29805)Memory used [KB]: 1023
% 2.28/1.65 % (29805)Time elapsed: 0.003 s
% 2.28/1.65 % (29805)Instructions burned: 3 (million)
% 2.28/1.65 % (29805)------------------------------
% 2.28/1.65 % (29805)------------------------------
% 2.28/1.66 % (29808)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_29700 for (2999ds/3Mi)
% 2.28/1.66 % (29807)Instruction limit reached!
% 2.28/1.66 % (29807)------------------------------
% 2.28/1.66 % (29807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.66 % (29807)Termination reason: Unknown
% 2.28/1.66 % (29807)Termination phase: Property scanning
% 2.28/1.66
% 2.28/1.66 % (29807)Memory used [KB]: 1279
% 2.28/1.66 % (29807)Time elapsed: 0.008 s
% 2.28/1.66 % (29807)Instructions burned: 16 (million)
% 2.28/1.66 % (29807)------------------------------
% 2.28/1.66 % (29807)------------------------------
% 2.28/1.66 % (29808)Instruction limit reached!
% 2.28/1.66 % (29808)------------------------------
% 2.28/1.66 % (29808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.66 % (29808)Termination reason: Unknown
% 2.28/1.66 % (29808)Termination phase: shuffling
% 2.28/1.66
% 2.28/1.66 % (29808)Memory used [KB]: 1151
% 2.28/1.66 % (29808)Time elapsed: 0.003 s
% 2.28/1.66 % (29808)Instructions burned: 3 (million)
% 2.28/1.66 % (29808)------------------------------
% 2.28/1.66 % (29808)------------------------------
% 2.28/1.66 % (29809)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_29700 for (2999ds/1041Mi)
% 2.28/1.67 % (29806)Instruction limit reached!
% 2.28/1.67 % (29806)------------------------------
% 2.28/1.67 % (29806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.67 % (29806)Termination reason: Unknown
% 2.28/1.67 % (29806)Termination phase: Property scanning
% 2.28/1.67
% 2.28/1.67 % (29806)Memory used [KB]: 1279
% 2.28/1.67 % (29806)Time elapsed: 0.018 s
% 2.28/1.67 % (29806)Instructions burned: 38 (million)
% 2.28/1.67 % (29806)------------------------------
% 2.28/1.67 % (29806)------------------------------
% 2.28/1.67 % (29810)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/7Mi)
% 2.28/1.67 % (29810)Instruction limit reached!
% 2.28/1.67 % (29810)------------------------------
% 2.28/1.67 % (29810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.67 % (29810)Termination reason: Unknown
% 2.28/1.67 % (29810)Termination phase: shuffling
% 2.28/1.67
% 2.28/1.67 % (29810)Memory used [KB]: 1151
% 2.28/1.67 % (29810)Time elapsed: 0.005 s
% 2.28/1.67 % (29810)Instructions burned: 8 (million)
% 2.28/1.67 % (29810)------------------------------
% 2.28/1.67 % (29810)------------------------------
% 2.28/1.68 % (29811)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/16Mi)
% 2.28/1.68 % (29812)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_29700 for (2999ds/3Mi)
% 2.28/1.68 % (29812)Instruction limit reached!
% 2.28/1.68 % (29812)------------------------------
% 2.28/1.68 % (29812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.68 % (29812)Termination reason: Unknown
% 2.28/1.68 % (29812)Termination phase: shuffling
% 2.28/1.68
% 2.28/1.68 % (29812)Memory used [KB]: 1151
% 2.28/1.68 % (29812)Time elapsed: 0.003 s
% 2.28/1.68 % (29812)Instructions burned: 3 (million)
% 2.28/1.68 % (29812)------------------------------
% 2.28/1.68 % (29812)------------------------------
% 2.28/1.68 % (29811)Instruction limit reached!
% 2.28/1.68 % (29811)------------------------------
% 2.28/1.68 % (29811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.68 % (29811)Termination reason: Unknown
% 2.28/1.68 % (29811)Termination phase: Property scanning
% 2.28/1.68
% 2.28/1.68 % (29811)Memory used [KB]: 1279
% 2.28/1.68 % (29811)Time elapsed: 0.009 s
% 2.28/1.68 % (29811)Instructions burned: 17 (million)
% 2.28/1.68 % (29811)------------------------------
% 2.28/1.68 % (29811)------------------------------
% 2.28/1.68 % (29803)Refutation not found, incomplete strategy
% 2.28/1.68 % (29803)------------------------------
% 2.28/1.68 % (29803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.68 % (29803)Termination reason: Refutation not found, incomplete strategy
% 2.28/1.68
% 2.28/1.68
% 2.28/1.68 % (29803)Memory used [KB]: 6140
% 2.28/1.68 % (29803)Time elapsed: 0.052 s
% 2.28/1.68 % (29803)Instructions burned: 121 (million)
% 2.28/1.68 % (29803)------------------------------
% 2.28/1.68 % (29803)------------------------------
% 2.28/1.69 % (29813)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_29700 for (2999ds/3Mi)
% 2.28/1.69 % (29813)Instruction limit reached!
% 2.28/1.69 % (29813)------------------------------
% 2.28/1.69 % (29813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.69 % (29813)Termination reason: Unknown
% 2.28/1.69 % (29813)Termination phase: shuffling
% 2.28/1.69
% 2.28/1.69 % (29813)Memory used [KB]: 1151
% 2.28/1.69 % (29813)Time elapsed: 0.004 s
% 2.28/1.69 % (29813)Instructions burned: 4 (million)
% 2.28/1.69 % (29813)------------------------------
% 2.28/1.69 % (29813)------------------------------
% 2.28/1.69 % (29814)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/7Mi)
% 2.28/1.69 % (29814)Instruction limit reached!
% 2.28/1.69 % (29814)------------------------------
% 2.28/1.69 % (29814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.69 % (29814)Termination reason: Unknown
% 2.28/1.69 % (29814)Termination phase: shuffling
% 2.28/1.69
% 2.28/1.69 % (29814)Memory used [KB]: 1151
% 2.28/1.69 % (29814)Time elapsed: 0.005 s
% 2.28/1.69 % (29814)Instructions burned: 8 (million)
% 2.28/1.69 % (29814)------------------------------
% 2.28/1.69 % (29814)------------------------------
% 2.28/1.69 % (29815)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/3Mi)
% 2.28/1.69 % (29815)Instruction limit reached!
% 2.28/1.69 % (29815)------------------------------
% 2.28/1.69 % (29815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.28/1.69 % (29815)Termination reason: Unknown
% 2.28/1.69 % (29815)Termination phase: shuffling
% 2.28/1.69
% 2.28/1.69 % (29815)Memory used [KB]: 1151
% 2.28/1.69 % (29815)Time elapsed: 0.003 s
% 2.28/1.69 % (29815)Instructions burned: 3 (million)
% 2.28/1.69 % (29815)------------------------------
% 2.28/1.69 % (29815)------------------------------
% 2.30/1.70 % (29816)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/4Mi)
% 2.30/1.70 % (29816)Instruction limit reached!
% 2.30/1.70 % (29816)------------------------------
% 2.30/1.70 % (29816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.70 % (29816)Termination reason: Unknown
% 2.30/1.70 % (29816)Termination phase: shuffling
% 2.30/1.70
% 2.30/1.70 % (29816)Memory used [KB]: 1151
% 2.30/1.70 % (29816)Time elapsed: 0.004 s
% 2.30/1.70 % (29816)Instructions burned: 4 (million)
% 2.30/1.70 % (29817)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/18Mi)
% 2.30/1.70 % (29816)------------------------------
% 2.30/1.70 % (29816)------------------------------
% 2.30/1.70 % (29818)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/710Mi)
% 2.30/1.71 % (29798)Instruction limit reached!
% 2.30/1.71 % (29798)------------------------------
% 2.30/1.71 % (29798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.71 % (29798)Termination reason: Unknown
% 2.30/1.71 % (29798)Termination phase: Saturation
% 2.30/1.71
% 2.30/1.71 % (29798)Memory used [KB]: 6524
% 2.30/1.71 % (29798)Time elapsed: 0.076 s
% 2.30/1.71 % (29798)Instructions burned: 185 (million)
% 2.30/1.71 % (29798)------------------------------
% 2.30/1.71 % (29798)------------------------------
% 2.30/1.71 % (29819)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/6Mi)
% 2.30/1.71 % (29817)Instruction limit reached!
% 2.30/1.71 % (29817)------------------------------
% 2.30/1.71 % (29817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.71 % (29817)Termination reason: Unknown
% 2.30/1.71 % (29817)Termination phase: Property scanning
% 2.30/1.71
% 2.30/1.71 % (29817)Memory used [KB]: 1279
% 2.30/1.71 % (29817)Time elapsed: 0.010 s
% 2.30/1.71 % (29817)Instructions burned: 19 (million)
% 2.30/1.71 % (29817)------------------------------
% 2.30/1.71 % (29817)------------------------------
% 2.30/1.71 % (29820)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_29700 for (2999ds/902Mi)
% 2.30/1.71 % (29819)Instruction limit reached!
% 2.30/1.71 % (29819)------------------------------
% 2.30/1.71 % (29819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.71 % (29819)Termination reason: Unknown
% 2.30/1.71 % (29819)Termination phase: shuffling
% 2.30/1.71
% 2.30/1.71 % (29819)Memory used [KB]: 1151
% 2.30/1.71 % (29819)Time elapsed: 0.005 s
% 2.30/1.71 % (29819)Instructions burned: 7 (million)
% 2.30/1.71 % (29819)------------------------------
% 2.30/1.71 % (29819)------------------------------
% 2.30/1.72 % (29821)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_29700 for (2999ds/21Mi)
% 2.30/1.72 % (29820)Refutation not found, incomplete strategy
% 2.30/1.72 % (29820)------------------------------
% 2.30/1.72 % (29820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.72 % (29820)Termination reason: Refutation not found, incomplete strategy
% 2.30/1.72
% 2.30/1.72
% 2.30/1.72 % (29820)Memory used [KB]: 5756
% 2.30/1.72 % (29820)Time elapsed: 0.014 s
% 2.30/1.72 % (29820)Instructions burned: 27 (million)
% 2.30/1.72 % (29820)------------------------------
% 2.30/1.72 % (29820)------------------------------
% 2.30/1.73 % (29822)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/5Mi)
% 2.30/1.73 % (29823)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_29700 for (2999ds/6Mi)
% 2.30/1.73 % (29821)Instruction limit reached!
% 2.30/1.73 % (29821)------------------------------
% 2.30/1.73 % (29821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.73 % (29821)Termination reason: Unknown
% 2.30/1.73 % (29821)Termination phase: Property scanning
% 2.30/1.73
% 2.30/1.73 % (29821)Memory used [KB]: 1279
% 2.30/1.73 % (29821)Time elapsed: 0.011 s
% 2.30/1.73 % (29821)Instructions burned: 22 (million)
% 2.30/1.73 % (29821)------------------------------
% 2.30/1.73 % (29821)------------------------------
% 2.30/1.73 % (29822)Instruction limit reached!
% 2.30/1.73 % (29822)------------------------------
% 2.30/1.73 % (29822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.73 % (29822)Termination reason: Unknown
% 2.30/1.73 % (29822)Termination phase: shuffling
% 2.30/1.73
% 2.30/1.73 % (29822)Memory used [KB]: 1151
% 2.30/1.73 % (29822)Time elapsed: 0.004 s
% 2.30/1.73 % (29822)Instructions burned: 5 (million)
% 2.30/1.73 % (29822)------------------------------
% 2.30/1.73 % (29822)------------------------------
% 2.30/1.73 % (29824)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/377Mi)
% 2.30/1.73 % (29823)Instruction limit reached!
% 2.30/1.73 % (29823)------------------------------
% 2.30/1.73 % (29823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.73 % (29823)Termination reason: Unknown
% 2.30/1.73 % (29823)Termination phase: shuffling
% 2.30/1.73
% 2.30/1.73 % (29823)Memory used [KB]: 1151
% 2.30/1.73 % (29823)Time elapsed: 0.005 s
% 2.30/1.73 % (29823)Instructions burned: 8 (million)
% 2.30/1.73 % (29823)------------------------------
% 2.30/1.73 % (29823)------------------------------
% 2.30/1.74 % (29825)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_29700 for (2999ds/779Mi)
% 2.30/1.74 % (29826)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_29700 for (2999ds/19Mi)
% 2.30/1.74 % (29827)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_29700 for (2999ds/879Mi)
% 2.30/1.75 % (29828)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_29700 for (2998ds/17Mi)
% 2.30/1.75 % (29826)Instruction limit reached!
% 2.30/1.75 % (29826)------------------------------
% 2.30/1.75 % (29826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.75 % (29826)Termination reason: Unknown
% 2.30/1.75 % (29826)Termination phase: Property scanning
% 2.30/1.75
% 2.30/1.75 % (29826)Memory used [KB]: 1279
% 2.30/1.75 % (29826)Time elapsed: 0.010 s
% 2.30/1.75 % (29826)Instructions burned: 20 (million)
% 2.30/1.75 % (29826)------------------------------
% 2.30/1.75 % (29826)------------------------------
% 2.30/1.75 % (29828)Instruction limit reached!
% 2.30/1.75 % (29828)------------------------------
% 2.30/1.75 % (29828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.75 % (29828)Termination reason: Unknown
% 2.30/1.75 % (29828)Termination phase: Property scanning
% 2.30/1.75
% 2.30/1.75 % (29828)Memory used [KB]: 1279
% 2.30/1.75 % (29828)Time elapsed: 0.009 s
% 2.30/1.75 % (29828)Instructions burned: 17 (million)
% 2.30/1.75 % (29828)------------------------------
% 2.30/1.75 % (29828)------------------------------
% 2.30/1.77 % (29829)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_29700 for (2998ds/3Mi)
% 2.30/1.77 % (29830)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_29700 for (2998ds/30Mi)
% 2.30/1.77 % (29829)Instruction limit reached!
% 2.30/1.77 % (29829)------------------------------
% 2.30/1.77 % (29829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.77 % (29829)Termination reason: Unknown
% 2.30/1.77 % (29829)Termination phase: shuffling
% 2.30/1.77
% 2.30/1.77 % (29829)Memory used [KB]: 1151
% 2.30/1.77 % (29829)Time elapsed: 0.004 s
% 2.30/1.77 % (29829)Instructions burned: 4 (million)
% 2.30/1.77 % (29829)------------------------------
% 2.30/1.77 % (29829)------------------------------
% 2.30/1.78 % (29830)Instruction limit reached!
% 2.30/1.78 % (29830)------------------------------
% 2.30/1.78 % (29830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.78 % (29830)Termination reason: Unknown
% 2.30/1.78 % (29830)Termination phase: Property scanning
% 2.30/1.78
% 2.30/1.78 % (29830)Memory used [KB]: 1279
% 2.30/1.78 % (29830)Time elapsed: 0.015 s
% 2.30/1.78 % (29830)Instructions burned: 32 (million)
% 2.30/1.78 % (29830)------------------------------
% 2.30/1.78 % (29830)------------------------------
% 2.30/1.79 % (29831)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_29700 for (2998ds/127Mi)
% 2.30/1.80 % (29832)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_29700 for (2998ds/100Mi)
% 2.30/1.84 % (29831)Instruction limit reached!
% 2.30/1.84 % (29831)------------------------------
% 2.30/1.84 % (29831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.84 % (29831)Termination reason: Unknown
% 2.30/1.84 % (29831)Termination phase: Saturation
% 2.30/1.84
% 2.30/1.84 % (29831)Memory used [KB]: 6524
% 2.30/1.84 % (29831)Time elapsed: 0.055 s
% 2.30/1.84 % (29831)Instructions burned: 127 (million)
% 2.30/1.84 % (29831)------------------------------
% 2.30/1.84 % (29831)------------------------------
% 2.30/1.84 % (29832)Instruction limit reached!
% 2.30/1.84 % (29832)------------------------------
% 2.30/1.84 % (29832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.84 % (29832)Termination reason: Unknown
% 2.30/1.84 % (29832)Termination phase: Saturation
% 2.30/1.84
% 2.30/1.84 % (29832)Memory used [KB]: 6140
% 2.30/1.84 % (29832)Time elapsed: 0.044 s
% 2.30/1.84 % (29832)Instructions burned: 101 (million)
% 2.30/1.84 % (29832)------------------------------
% 2.30/1.84 % (29832)------------------------------
% 2.30/1.86 % (29834)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_29700 for (2997ds/20Mi)
% 2.30/1.86 % (29833)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_29700 for (2997ds/3Mi)
% 2.30/1.86 % (29833)Instruction limit reached!
% 2.30/1.86 % (29833)------------------------------
% 2.30/1.86 % (29833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.86 % (29833)Termination reason: Unknown
% 2.30/1.86 % (29833)Termination phase: shuffling
% 2.30/1.86
% 2.30/1.86 % (29833)Memory used [KB]: 1151
% 2.30/1.86 % (29833)Time elapsed: 0.003 s
% 2.30/1.86 % (29833)Instructions burned: 3 (million)
% 2.30/1.86 % (29833)------------------------------
% 2.30/1.86 % (29833)------------------------------
% 2.30/1.86 % (29825)Refutation not found, incomplete strategy
% 2.30/1.86 % (29825)------------------------------
% 2.30/1.86 % (29825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.86 % (29825)Termination reason: Refutation not found, incomplete strategy
% 2.30/1.86
% 2.30/1.86
% 2.30/1.86 % (29825)Memory used [KB]: 6524
% 2.30/1.86 % (29825)Time elapsed: 0.145 s
% 2.30/1.86 % (29825)Instructions burned: 282 (million)
% 2.30/1.86 % (29825)------------------------------
% 2.30/1.86 % (29825)------------------------------
% 2.30/1.87 % (29834)Instruction limit reached!
% 2.30/1.87 % (29834)------------------------------
% 2.30/1.87 % (29834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.87 % (29834)Termination reason: Unknown
% 2.30/1.87 % (29834)Termination phase: SInE selection
% 2.30/1.87
% 2.30/1.87 % (29834)Memory used [KB]: 1279
% 2.30/1.87 % (29834)Time elapsed: 0.010 s
% 2.30/1.87 % (29834)Instructions burned: 20 (million)
% 2.30/1.87 % (29834)------------------------------
% 2.30/1.87 % (29834)------------------------------
% 2.30/1.88 % (29835)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_29700 for (2997ds/86Mi)
% 2.30/1.88 % (29836)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_29700 for (2997ds/107Mi)
% 2.30/1.88 % (29837)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_29700 for (2997ds/39Mi)
% 2.30/1.89 % (29824)Instruction limit reached!
% 2.30/1.89 % (29824)------------------------------
% 2.30/1.89 % (29824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.89 % (29824)Termination reason: Unknown
% 2.30/1.89 % (29824)Termination phase: Saturation
% 2.30/1.89
% 2.30/1.89 % (29824)Memory used [KB]: 7164
% 2.30/1.89 % (29824)Time elapsed: 0.159 s
% 2.30/1.89 % (29824)Instructions burned: 379 (million)
% 2.30/1.89 % (29824)------------------------------
% 2.30/1.89 % (29824)------------------------------
% 2.30/1.90 % (29837)Instruction limit reached!
% 2.30/1.90 % (29837)------------------------------
% 2.30/1.90 % (29837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.90 % (29837)Termination reason: Unknown
% 2.30/1.90 % (29837)Termination phase: Saturation
% 2.30/1.90
% 2.30/1.90 % (29837)Memory used [KB]: 5884
% 2.30/1.90 % (29837)Time elapsed: 0.019 s
% 2.30/1.90 % (29837)Instructions burned: 40 (million)
% 2.30/1.90 % (29837)------------------------------
% 2.30/1.90 % (29837)------------------------------
% 2.30/1.90 % (29838)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_29700 for (2997ds/448Mi)
% 2.30/1.91 % (29835)Instruction limit reached!
% 2.30/1.91 % (29835)------------------------------
% 2.30/1.91 % (29835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.91 % (29835)Termination reason: Unknown
% 2.30/1.91 % (29835)Termination phase: Saturation
% 2.30/1.91
% 2.30/1.91 % (29835)Memory used [KB]: 6140
% 2.30/1.91 % (29835)Time elapsed: 0.039 s
% 2.30/1.91 % (29835)Instructions burned: 88 (million)
% 2.30/1.91 % (29835)------------------------------
% 2.30/1.91 % (29835)------------------------------
% 2.30/1.92 % (29839)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_29700 for (2997ds/46Mi)
% 2.30/1.92 % (29836)Instruction limit reached!
% 2.30/1.92 % (29836)------------------------------
% 2.30/1.92 % (29836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.92 % (29836)Termination reason: Unknown
% 2.30/1.92 % (29836)Termination phase: Saturation
% 2.30/1.92
% 2.30/1.92 % (29836)Memory used [KB]: 6140
% 2.30/1.92 % (29836)Time elapsed: 0.047 s
% 2.30/1.92 % (29836)Instructions burned: 108 (million)
% 2.30/1.92 % (29836)------------------------------
% 2.30/1.92 % (29836)------------------------------
% 2.30/1.93 % (29840)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_29700 for (2997ds/98Mi)
% 2.30/1.94 % (29839)Instruction limit reached!
% 2.30/1.94 % (29839)------------------------------
% 2.30/1.94 % (29839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.94 % (29839)Termination reason: Unknown
% 2.30/1.94 % (29839)Termination phase: Saturation
% 2.30/1.94
% 2.30/1.94 % (29839)Memory used [KB]: 5884
% 2.30/1.94 % (29839)Time elapsed: 0.023 s
% 2.30/1.94 % (29839)Instructions burned: 46 (million)
% 2.30/1.94 % (29839)------------------------------
% 2.30/1.94 % (29839)------------------------------
% 2.30/1.94 % (29841)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_29700 for (2996ds/507Mi)
% 2.30/1.96 % (29842)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_29700 for (2996ds/149Mi)
% 2.30/1.97 % (29840)Instruction limit reached!
% 2.30/1.97 % (29840)------------------------------
% 2.30/1.97 % (29840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.97 % (29840)Termination reason: Unknown
% 2.30/1.97 % (29840)Termination phase: Saturation
% 2.30/1.97
% 2.30/1.97 % (29840)Memory used [KB]: 1791
% 2.30/1.97 % (29840)Time elapsed: 0.043 s
% 2.30/1.97 % (29840)Instructions burned: 99 (million)
% 2.30/1.97 % (29840)------------------------------
% 2.30/1.97 % (29840)------------------------------
% 2.30/1.99 % (29818)Instruction limit reached!
% 2.30/1.99 % (29818)------------------------------
% 2.30/1.99 % (29818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/1.99 % (29818)Termination reason: Unknown
% 2.30/1.99 % (29818)Termination phase: Saturation
% 2.30/1.99
% 2.30/1.99 % (29818)Memory used [KB]: 6268
% 2.30/1.99 % (29818)Time elapsed: 0.287 s
% 2.30/1.99 % (29818)Instructions burned: 712 (million)
% 2.30/1.99 % (29818)------------------------------
% 2.30/1.99 % (29818)------------------------------
% 2.30/1.99 % (29843)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_29700 for (2996ds/39Mi)
% 2.30/2.01 % (29844)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_29700 for (2996ds/6Mi)
% 2.30/2.01 % (29843)Instruction limit reached!
% 2.30/2.01 % (29843)------------------------------
% 2.30/2.01 % (29843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/2.01 % (29844)Instruction limit reached!
% 2.30/2.01 % (29844)------------------------------
% 2.30/2.01 % (29844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.30/2.01 % (29843)Termination reason: Unknown
% 2.30/2.01 % (29843)Termination phase: Saturation
% 2.30/2.01
% 2.30/2.01 % (29843)Memory used [KB]: 1279
% 2.30/2.01 % (29843)Time elapsed: 0.020 s
% 2.30/2.01 % (29843)Instructions burned: 41 (million)
% 2.30/2.01 % (29843)------------------------------
% 2.30/2.01 % (29843)------------------------------
% 2.30/2.01 % (29844)Termination reason: Unknown
% 2.30/2.01 % (29844)Termination phase: shuffling
% 2.30/2.01
% 2.30/2.01 % (29844)Memory used [KB]: 1151
% 2.30/2.01 % (29844)Time elapsed: 0.004 s
% 2.30/2.01 % (29844)Instructions burned: 6 (million)
% 2.30/2.01 % (29844)------------------------------
% 2.30/2.01 % (29844)------------------------------
% 5.06/2.03 % (29845)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_29700 for (2996ds/1087Mi)
% 5.06/2.03 % (29846)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_29700 for (2996ds/47Mi)
% 5.06/2.03 % (29842)Instruction limit reached!
% 5.06/2.03 % (29842)------------------------------
% 5.06/2.03 % (29842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.06/2.03 % (29842)Termination reason: Unknown
% 5.06/2.03 % (29842)Termination phase: Saturation
% 5.06/2.03
% 5.06/2.03 % (29842)Memory used [KB]: 6396
% 5.06/2.03 % (29842)Time elapsed: 0.074 s
% 5.06/2.03 % (29842)Instructions burned: 150 (million)
% 5.06/2.03 % (29842)------------------------------
% 5.06/2.03 % (29842)------------------------------
% 5.06/2.05 % (29846)Instruction limit reached!
% 5.06/2.05 % (29846)------------------------------
% 5.06/2.05 % (29846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.06/2.05 % (29846)Termination reason: Unknown
% 5.06/2.05 % (29846)Termination phase: Saturation
% 5.06/2.05
% 5.06/2.05 % (29846)Memory used [KB]: 5884
% 5.06/2.05 % (29846)Time elapsed: 0.023 s
% 5.06/2.05 % (29846)Instructions burned: 48 (million)
% 5.06/2.05 % (29846)------------------------------
% 5.06/2.05 % (29846)------------------------------
% 5.06/2.05 % (29847)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_29700 for (2995ds/44Mi)
% 5.06/2.06 % (29845)Refutation not found, incomplete strategy
% 5.06/2.06 % (29845)------------------------------
% 5.06/2.06 % (29845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.06/2.06 % (29845)Termination reason: Refutation not found, incomplete strategy
% 5.06/2.06
% 5.06/2.06
% 5.06/2.06 % (29845)Memory used [KB]: 6140
% 5.06/2.06 % (29845)Time elapsed: 0.035 s
% 5.06/2.06 % (29845)Instructions burned: 76 (million)
% 5.06/2.06 % (29845)------------------------------
% 5.06/2.06 % (29845)------------------------------
% 5.06/2.06 % (29848)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_29700 for (2995ds/432Mi)
% 5.06/2.07 % (29847)Instruction limit reached!
% 5.06/2.07 % (29847)------------------------------
% 5.06/2.07 % (29847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.06/2.07 % (29847)Termination reason: Unknown
% 5.06/2.07 % (29847)Termination phase: Saturation
% 5.06/2.07
% 5.06/2.07 % (29847)Memory used [KB]: 1407
% 5.06/2.07 % (29847)Time elapsed: 0.021 s
% 5.06/2.07 % (29847)Instructions burned: 45 (million)
% 5.06/2.07 % (29847)------------------------------
% 5.06/2.07 % (29847)------------------------------
% 5.06/2.08 % (29849)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_29700 for (2995ds/62Mi)
% 5.06/2.08 % (29850)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_29700 for (2995ds/31Mi)
% 5.06/2.09 % (29838)Instruction limit reached!
% 5.06/2.09 % (29838)------------------------------
% 5.06/2.09 % (29838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.06/2.09 % (29838)Termination reason: Unknown
% 5.06/2.09 % (29838)Termination phase: Saturation
% 5.06/2.09
% 5.06/2.09 % (29838)Memory used [KB]: 6524
% 5.06/2.09 % (29838)Time elapsed: 0.191 s
% 5.06/2.09 % (29838)Instructions burned: 449 (million)
% 5.06/2.09 % (29838)------------------------------
% 5.06/2.09 % (29838)------------------------------
% 5.06/2.10 % (29850)Instruction limit reached!
% 5.06/2.10 % (29850)------------------------------
% 5.06/2.10 % (29850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.06/2.10 % (29850)Termination reason: Unknown
% 5.06/2.10 % (29850)Termination phase: Property scanning
% 5.06/2.10
% 5.06/2.10 % (29850)Memory used [KB]: 1279
% 5.06/2.10 % (29850)Time elapsed: 0.016 s
% 5.06/2.10 % (29850)Instructions burned: 32 (million)
% 5.06/2.10 % (29850)------------------------------
% 5.06/2.10 % (29850)------------------------------
% 5.06/2.10 % (29827)Instruction limit reached!
% 5.06/2.10 % (29827)------------------------------
% 5.06/2.10 % (29827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.06/2.10 % (29827)Termination reason: Unknown
% 5.06/2.10 % (29827)Termination phase: Saturation
% 5.06/2.10
% 5.06/2.10 % (29827)Memory used [KB]: 8187
% 5.06/2.10 % (29827)Time elapsed: 0.358 s
% 5.06/2.10 % (29827)Instructions burned: 880 (million)
% 5.06/2.10 % (29827)------------------------------
% 5.06/2.10 % (29827)------------------------------
% 5.06/2.10 % (29849)Instruction limit reached!
% 5.06/2.10 % (29849)------------------------------
% 5.06/2.10 % (29849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.06/2.10 % (29849)Termination reason: Unknown
% 5.06/2.10 % (29849)Termination phase: Saturation
% 5.06/2.10
% 5.06/2.10 % (29849)Memory used [KB]: 6140
% 5.06/2.10 % (29849)Time elapsed: 0.028 s
% 5.06/2.10 % (29849)Instructions burned: 62 (million)
% 5.06/2.10 % (29849)------------------------------
% 5.06/2.10 % (29849)------------------------------
% 5.06/2.11 % (29851)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_29700 for (2995ds/96Mi)
% 5.06/2.11 % (29852)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_29700 for (2995ds/453Mi)
% 5.06/2.12 % (29853)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_29700 for (2995ds/71Mi)
% 5.06/2.12 % (29854)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_29700 for (2995ds/83Mi)
% 5.63/2.14 % (29809)Instruction limit reached!
% 5.63/2.14 % (29809)------------------------------
% 5.63/2.14 % (29809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.63/2.14 % (29809)Termination reason: Unknown
% 5.63/2.14 % (29809)Termination phase: Saturation
% 5.63/2.14
% 5.63/2.14 % (29809)Memory used [KB]: 8699
% 5.63/2.14 % (29809)Time elapsed: 0.479 s
% 5.63/2.14 % (29809)Instructions burned: 1042 (million)
% 5.63/2.14 % (29809)------------------------------
% 5.63/2.14 % (29809)------------------------------
% 5.63/2.15 % (29853)Instruction limit reached!
% 5.63/2.15 % (29853)------------------------------
% 5.63/2.15 % (29853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.63/2.15 % (29853)Termination reason: Unknown
% 5.63/2.15 % (29853)Termination phase: Saturation
% 5.63/2.15
% 5.63/2.15 % (29853)Memory used [KB]: 6140
% 5.63/2.15 % (29853)Time elapsed: 0.031 s
% 5.63/2.15 % (29853)Instructions burned: 71 (million)
% 5.63/2.15 % (29853)------------------------------
% 5.63/2.15 % (29853)------------------------------
% 5.63/2.15 % (29851)Instruction limit reached!
% 5.63/2.15 % (29851)------------------------------
% 5.63/2.15 % (29851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.63/2.15 % (29851)Termination reason: Unknown
% 5.63/2.15 % (29851)Termination phase: Saturation
% 5.63/2.15
% 5.63/2.15 % (29851)Memory used [KB]: 6268
% 5.63/2.15 % (29851)Time elapsed: 0.043 s
% 5.63/2.15 % (29851)Instructions burned: 98 (million)
% 5.63/2.15 % (29851)------------------------------
% 5.63/2.15 % (29851)------------------------------
% 5.63/2.15 % (29854)Instruction limit reached!
% 5.63/2.15 % (29854)------------------------------
% 5.63/2.15 % (29854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.63/2.15 % (29854)Termination reason: Unknown
% 5.63/2.15 % (29854)Termination phase: Saturation
% 5.63/2.15
% 5.63/2.15 % (29854)Memory used [KB]: 6140
% 5.63/2.15 % (29854)Time elapsed: 0.036 s
% 5.63/2.15 % (29854)Instructions burned: 83 (million)
% 5.63/2.15 % (29854)------------------------------
% 5.63/2.15 % (29854)------------------------------
% 5.63/2.15 % (29841)Instruction limit reached!
% 5.63/2.15 % (29841)------------------------------
% 5.63/2.15 % (29841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.63/2.15 % (29841)Termination reason: Unknown
% 5.63/2.15 % (29841)Termination phase: Saturation
% 5.63/2.15
% 5.63/2.15 % (29841)Memory used [KB]: 6780
% 5.63/2.15 % (29841)Time elapsed: 0.213 s
% 5.63/2.15 % (29841)Instructions burned: 508 (million)
% 5.63/2.15 % (29841)------------------------------
% 5.63/2.15 % (29841)------------------------------
% 5.63/2.16 % (29855)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_29700 for (2994ds/11Mi)
% 5.63/2.16 % (29855)Instruction limit reached!
% 5.63/2.16 % (29855)------------------------------
% 5.63/2.16 % (29855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.63/2.16 % (29855)Termination reason: Unknown
% 5.63/2.16 % (29855)Termination phase: Property scanning
% 5.63/2.16
% 5.63/2.16 % (29855)Memory used [KB]: 1279
% 5.63/2.16 % (29855)Time elapsed: 0.007 s
% 5.63/2.16 % (29855)Instructions burned: 11 (million)
% 5.63/2.16 % (29855)------------------------------
% 5.63/2.16 % (29855)------------------------------
% 5.63/2.16 % (29856)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_29700 for (2994ds/41Mi)
% 5.63/2.17 % (29857)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29700 for (2994ds/6Mi)
% 5.63/2.17 % (29858)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_29700 for (2994ds/150Mi)
% 5.63/2.17 % (29859)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_29700 for (2994ds/343Mi)
% 5.63/2.17 % (29857)Instruction limit reached!
% 5.63/2.17 % (29857)------------------------------
% 5.63/2.17 % (29857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.63/2.17 % (29857)Termination reason: Unknown
% 5.63/2.17 % (29857)Termination phase: shuffling
% 5.63/2.17
% 5.63/2.17 % (29857)Memory used [KB]: 1151
% 5.63/2.17 % (29857)Time elapsed: 0.005 s
% 5.63/2.17 % (29857)Instructions burned: 7 (million)
% 5.63/2.17 % (29857)------------------------------
% 5.63/2.17 % (29857)------------------------------
% 5.63/2.18 % (29860)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_29700 for (2994ds/109Mi)
% 5.63/2.18 % (29856)Instruction limit reached!
% 5.63/2.18 % (29856)------------------------------
% 5.63/2.18 % (29856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.63/2.18 % (29856)Termination reason: Unknown
% 5.63/2.18 % (29856)Termination phase: Saturation
% 5.63/2.18
% 5.63/2.18 % (29856)Memory used [KB]: 5884
% 5.63/2.18 % (29856)Time elapsed: 0.020 s
% 5.63/2.18 % (29856)Instructions burned: 42 (million)
% 5.63/2.18 % (29856)------------------------------
% 5.63/2.18 % (29856)------------------------------
% 5.63/2.19 % (29861)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_29700 for (2994ds/253Mi)
% 5.92/2.20 % (29862)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_29700 for (2994ds/140Mi)
% 5.92/2.22 % (29860)Instruction limit reached!
% 5.92/2.22 % (29860)------------------------------
% 5.92/2.22 % (29860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.92/2.22 % (29860)Termination reason: Unknown
% 5.92/2.22 % (29860)Termination phase: Saturation
% 5.92/2.22
% 5.92/2.22 % (29860)Memory used [KB]: 6140
% 5.92/2.22 % (29860)Time elapsed: 0.048 s
% 5.92/2.22 % (29860)Instructions burned: 110 (million)
% 5.92/2.22 % (29860)------------------------------
% 5.92/2.22 % (29860)------------------------------
% 5.92/2.23 % (29858)Instruction limit reached!
% 5.92/2.23 % (29858)------------------------------
% 5.92/2.23 % (29858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.92/2.23 % (29858)Termination reason: Unknown
% 5.92/2.23 % (29858)Termination phase: Saturation
% 5.92/2.23
% 5.92/2.23 % (29858)Memory used [KB]: 6524
% 5.92/2.23 % (29858)Time elapsed: 0.066 s
% 5.92/2.23 % (29858)Instructions burned: 152 (million)
% 5.92/2.23 % (29858)------------------------------
% 5.92/2.23 % (29858)------------------------------
% 5.92/2.24 % (29859)Refutation not found, incomplete strategy
% 5.92/2.24 % (29859)------------------------------
% 5.92/2.24 % (29859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.92/2.24 % (29859)Termination reason: Refutation not found, incomplete strategy
% 5.92/2.24
% 5.92/2.24
% 5.92/2.24 % (29859)Memory used [KB]: 6524
% 5.92/2.24 % (29859)Time elapsed: 0.068 s
% 5.92/2.24 % (29859)Instructions burned: 158 (million)
% 5.92/2.24 % (29859)------------------------------
% 5.92/2.24 % (29859)------------------------------
% 5.92/2.24 % (29863)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_29700 for (2993ds/614Mi)
% 5.92/2.25 % (29861)Refutation not found, incomplete strategy
% 5.92/2.25 % (29861)------------------------------
% 5.92/2.25 % (29861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.92/2.25 % (29861)Termination reason: Refutation not found, incomplete strategy
% 5.92/2.25
% 5.92/2.25
% 5.92/2.25 % (29861)Memory used [KB]: 6268
% 5.92/2.25 % (29861)Time elapsed: 0.060 s
% 5.92/2.25 % (29861)Instructions burned: 137 (million)
% 5.92/2.25 % (29861)------------------------------
% 5.92/2.25 % (29861)------------------------------
% 5.92/2.25 % (29864)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_29700 for (2993ds/202Mi)
% 5.92/2.25 % (29865)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_29700 for (2993ds/339Mi)
% 5.92/2.26 % (29862)Instruction limit reached!
% 5.92/2.26 % (29862)------------------------------
% 5.92/2.26 % (29862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.92/2.26 % (29862)Termination reason: Unknown
% 5.92/2.26 % (29862)Termination phase: Saturation
% 5.92/2.26
% 5.92/2.26 % (29862)Memory used [KB]: 6524
% 5.92/2.26 % (29862)Time elapsed: 0.060 s
% 5.92/2.26 % (29862)Instructions burned: 140 (million)
% 5.92/2.26 % (29862)------------------------------
% 5.92/2.26 % (29862)------------------------------
% 5.92/2.26 % (29848)Instruction limit reached!
% 5.92/2.26 % (29848)------------------------------
% 5.92/2.26 % (29848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.92/2.26 % (29848)Termination reason: Unknown
% 5.92/2.26 % (29848)Termination phase: Saturation
% 5.92/2.26
% 5.92/2.26 % (29848)Memory used [KB]: 2430
% 5.92/2.26 % (29848)Time elapsed: 0.199 s
% 5.92/2.26 % (29848)Instructions burned: 433 (million)
% 5.92/2.26 % (29848)------------------------------
% 5.92/2.26 % (29848)------------------------------
% 5.92/2.26 % (29866)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_29700 for (2993ds/283Mi)
% 5.92/2.26 % (29864)Refutation not found, incomplete strategy
% 5.92/2.26 % (29864)------------------------------
% 5.92/2.26 % (29864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.92/2.26 % (29864)Termination reason: Refutation not found, incomplete strategy
% 5.92/2.26
% 5.92/2.26
% 5.92/2.26 % (29864)Memory used [KB]: 5884
% 5.92/2.26 % (29864)Time elapsed: 0.015 s
% 5.92/2.26 % (29864)Instructions burned: 31 (million)
% 5.92/2.26 % (29864)------------------------------
% 5.92/2.26 % (29864)------------------------------
% 5.92/2.27 % (29867)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_29700 for (2993ds/134Mi)
% 5.92/2.28 % (29868)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_29700 for (2993ds/298Mi)
% 5.92/2.28 % (29869)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_29700 for (2993ds/192Mi)
% 6.54/2.31 % (29852)Instruction limit reached!
% 6.54/2.31 % (29852)------------------------------
% 6.54/2.31 % (29852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.31 % (29852)Termination reason: Unknown
% 6.54/2.31 % (29852)Termination phase: Saturation
% 6.54/2.31
% 6.54/2.31 % (29852)Memory used [KB]: 6780
% 6.54/2.31 % (29852)Time elapsed: 0.223 s
% 6.54/2.31 % (29852)Instructions burned: 454 (million)
% 6.54/2.31 % (29852)------------------------------
% 6.54/2.31 % (29852)------------------------------
% 6.54/2.33 % (29867)Instruction limit reached!
% 6.54/2.33 % (29867)------------------------------
% 6.54/2.33 % (29867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.33 % (29867)Termination reason: Unknown
% 6.54/2.33 % (29867)Termination phase: Saturation
% 6.54/2.33
% 6.54/2.33 % (29867)Memory used [KB]: 6268
% 6.54/2.33 % (29867)Time elapsed: 0.058 s
% 6.54/2.33 % (29867)Instructions burned: 135 (million)
% 6.54/2.33 % (29867)------------------------------
% 6.54/2.33 % (29867)------------------------------
% 6.54/2.33 % (29865)Refutation not found, incomplete strategy
% 6.54/2.33 % (29865)------------------------------
% 6.54/2.33 % (29865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.33 % (29865)Termination reason: Refutation not found, incomplete strategy
% 6.54/2.33
% 6.54/2.33
% 6.54/2.33 % (29865)Memory used [KB]: 6524
% 6.54/2.33 % (29865)Time elapsed: 0.076 s
% 6.54/2.33 % (29865)Instructions burned: 177 (million)
% 6.54/2.33 % (29865)------------------------------
% 6.54/2.33 % (29865)------------------------------
% 6.54/2.33 % (29870)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_29700 for (2993ds/258Mi)
% 6.54/2.35 % (29872)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_29700 for (2992ds/231Mi)
% 6.54/2.35 % (29871)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_29700 for (2992ds/90Mi)
% 6.54/2.36 % (29869)Instruction limit reached!
% 6.54/2.36 % (29869)------------------------------
% 6.54/2.36 % (29869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.36 % (29869)Termination reason: Unknown
% 6.54/2.36 % (29869)Termination phase: Saturation
% 6.54/2.36
% 6.54/2.36 % (29869)Memory used [KB]: 6524
% 6.54/2.36 % (29869)Time elapsed: 0.080 s
% 6.54/2.36 % (29869)Instructions burned: 192 (million)
% 6.54/2.36 % (29869)------------------------------
% 6.54/2.36 % (29869)------------------------------
% 6.54/2.38 % (29873)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_29700 for (2992ds/458Mi)
% 6.54/2.39 % (29871)Instruction limit reached!
% 6.54/2.39 % (29871)------------------------------
% 6.54/2.39 % (29871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.39 % (29871)Termination reason: Unknown
% 6.54/2.39 % (29871)Termination phase: Saturation
% 6.54/2.39
% 6.54/2.39 % (29871)Memory used [KB]: 6268
% 6.54/2.39 % (29871)Time elapsed: 0.042 s
% 6.54/2.39 % (29871)Instructions burned: 90 (million)
% 6.54/2.39 % (29871)------------------------------
% 6.54/2.39 % (29871)------------------------------
% 6.54/2.39 % (29866)Instruction limit reached!
% 6.54/2.39 % (29866)------------------------------
% 6.54/2.39 % (29866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.54/2.39 % (29866)Termination reason: Unknown
% 6.54/2.39 % (29866)Termination phase: Saturation
% 6.54/2.39
% 6.54/2.39 % (29866)Memory used [KB]: 6652
% 6.54/2.39 % (29866)Time elapsed: 0.131 s
% 6.54/2.39 % (29866)Instructions burned: 284 (million)
% 6.54/2.39 % (29866)------------------------------
% 6.54/2.39 % (29866)------------------------------
% 7.23/2.40 % (29868)Instruction limit reached!
% 7.23/2.40 % (29868)------------------------------
% 7.23/2.40 % (29868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.40 % (29868)Termination reason: Unknown
% 7.23/2.40 % (29868)Termination phase: Saturation
% 7.23/2.40
% 7.23/2.40 % (29868)Memory used [KB]: 6908
% 7.23/2.40 % (29868)Time elapsed: 0.125 s
% 7.23/2.40 % (29868)Instructions burned: 299 (million)
% 7.23/2.40 % (29868)------------------------------
% 7.23/2.40 % (29868)------------------------------
% 7.23/2.40 % (29874)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_29700 for (2992ds/31Mi)
% 7.23/2.41 % (29875)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_29700 for (2992ds/297Mi)
% 7.23/2.42 % (29874)Instruction limit reached!
% 7.23/2.42 % (29874)------------------------------
% 7.23/2.42 % (29874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.42 % (29874)Termination reason: Unknown
% 7.23/2.42 % (29874)Termination phase: Property scanning
% 7.23/2.42
% 7.23/2.42 % (29874)Memory used [KB]: 1279
% 7.23/2.42 % (29874)Time elapsed: 0.016 s
% 7.23/2.42 % (29874)Instructions burned: 33 (million)
% 7.23/2.42 % (29874)------------------------------
% 7.23/2.42 % (29874)------------------------------
% 7.23/2.42 % (29876)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_29700 for (2992ds/987Mi)
% 7.23/2.43 % (29877)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_29700 for (2992ds/182Mi)
% 7.23/2.44 % (29870)Instruction limit reached!
% 7.23/2.44 % (29870)------------------------------
% 7.23/2.44 % (29870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.44 % (29870)Termination reason: Unknown
% 7.23/2.44 % (29870)Termination phase: Saturation
% 7.23/2.44
% 7.23/2.44 % (29870)Memory used [KB]: 6652
% 7.23/2.44 % (29870)Time elapsed: 0.107 s
% 7.23/2.44 % (29870)Instructions burned: 258 (million)
% 7.23/2.44 % (29870)------------------------------
% 7.23/2.44 % (29870)------------------------------
% 7.23/2.45 % (29878)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_29700 for (2991ds/182Mi)
% 7.23/2.46 % (29872)Instruction limit reached!
% 7.23/2.46 % (29872)------------------------------
% 7.23/2.46 % (29872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.46 % (29872)Termination reason: Unknown
% 7.23/2.46 % (29872)Termination phase: Saturation
% 7.23/2.46
% 7.23/2.46 % (29872)Memory used [KB]: 6652
% 7.23/2.46 % (29872)Time elapsed: 0.113 s
% 7.23/2.46 % (29872)Instructions burned: 232 (million)
% 7.23/2.46 % (29872)------------------------------
% 7.23/2.46 % (29872)------------------------------
% 7.23/2.47 % (29879)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_29700 for (2991ds/154Mi)
% 7.23/2.49 % (29863)Instruction limit reached!
% 7.23/2.49 % (29863)------------------------------
% 7.23/2.49 % (29863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.23/2.49 % (29863)Termination reason: Unknown
% 7.23/2.49 % (29863)Termination phase: Saturation
% 7.23/2.49
% 7.23/2.49 % (29863)Memory used [KB]: 8315
% 7.23/2.49 % (29863)Time elapsed: 0.246 s
% 7.23/2.49 % (29863)Instructions burned: 614 (million)
% 7.23/2.49 % (29863)------------------------------
% 7.23/2.49 % (29863)------------------------------
% 7.91/2.50 % (29880)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_29700 for (2991ds/79Mi)
% 7.91/2.51 % (29877)Instruction limit reached!
% 7.91/2.51 % (29877)------------------------------
% 7.91/2.51 % (29877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.91/2.51 % (29877)Termination reason: Unknown
% 7.91/2.51 % (29877)Termination phase: Saturation
% 7.91/2.51
% 7.91/2.51 % (29877)Memory used [KB]: 6524
% 7.91/2.51 % (29877)Time elapsed: 0.076 s
% 7.91/2.51 % (29877)Instructions burned: 183 (million)
% 7.91/2.51 % (29877)------------------------------
% 7.91/2.51 % (29877)------------------------------
% 7.91/2.53 % (29881)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_29700 for (2991ds/216Mi)
% 7.91/2.53 % (29875)Instruction limit reached!
% 7.91/2.53 % (29875)------------------------------
% 7.91/2.53 % (29875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.91/2.53 % (29875)Termination reason: Unknown
% 7.91/2.53 % (29875)Termination phase: Saturation
% 7.91/2.53
% 7.91/2.53 % (29875)Memory used [KB]: 6524
% 7.91/2.53 % (29875)Time elapsed: 0.123 s
% 7.91/2.53 % (29875)Instructions burned: 297 (million)
% 7.91/2.53 % (29875)------------------------------
% 7.91/2.53 % (29875)------------------------------
% 7.91/2.54 % (29879)Instruction limit reached!
% 7.91/2.54 % (29879)------------------------------
% 7.91/2.54 % (29879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.91/2.54 % (29879)Termination reason: Unknown
% 7.91/2.54 % (29879)Termination phase: Saturation
% 7.91/2.54
% 7.91/2.54 % (29879)Memory used [KB]: 6524
% 7.91/2.54 % (29879)Time elapsed: 0.065 s
% 7.91/2.54 % (29879)Instructions burned: 154 (million)
% 7.91/2.54 % (29879)------------------------------
% 7.91/2.54 % (29879)------------------------------
% 7.91/2.54 % (29880)Instruction limit reached!
% 7.91/2.54 % (29880)------------------------------
% 7.91/2.54 % (29880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.91/2.54 % (29880)Termination reason: Unknown
% 7.91/2.54 % (29880)Termination phase: Saturation
% 7.91/2.54
% 7.91/2.54 % (29880)Memory used [KB]: 6268
% 7.91/2.54 % (29880)Time elapsed: 0.036 s
% 7.91/2.54 % (29880)Instructions burned: 79 (million)
% 7.91/2.54 % (29880)------------------------------
% 7.91/2.54 % (29880)------------------------------
% 7.91/2.54 % (29878)Instruction limit reached!
% 7.91/2.54 % (29878)------------------------------
% 7.91/2.54 % (29878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.91/2.54 % (29878)Termination reason: Unknown
% 7.91/2.54 % (29878)Termination phase: Saturation
% 7.91/2.54
% 7.91/2.54 % (29878)Memory used [KB]: 6140
% 7.91/2.54 % (29878)Time elapsed: 0.089 s
% 7.91/2.54 % (29878)Instructions burned: 183 (million)
% 7.91/2.54 % (29878)------------------------------
% 7.91/2.54 % (29878)------------------------------
% 7.91/2.55 % (29882)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_29700 for (2990ds/114Mi)
% 7.91/2.55 % (29884)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_29700 for (2990ds/182Mi)
% 7.91/2.55 % (29883)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_29700 for (2990ds/922Mi)
% 7.91/2.56 % (29885)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_29700 for (2990ds/164Mi)
% 7.91/2.56 % (29873)Instruction limit reached!
% 7.91/2.56 % (29873)------------------------------
% 7.91/2.56 % (29873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.91/2.56 % (29873)Termination reason: Unknown
% 7.91/2.56 % (29873)Termination phase: Saturation
% 7.91/2.56
% 7.91/2.56 % (29873)Memory used [KB]: 7291
% 7.91/2.56 % (29873)Time elapsed: 0.188 s
% 7.91/2.56 % (29873)Instructions burned: 458 (million)
% 7.91/2.56 % (29873)------------------------------
% 7.91/2.56 % (29873)------------------------------
% 7.91/2.58 % (29886)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_29700 for (2990ds/50Mi)
% 7.91/2.60 % (29882)Instruction limit reached!
% 7.91/2.60 % (29882)------------------------------
% 7.91/2.60 % (29882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.91/2.60 % (29882)Termination reason: Unknown
% 7.91/2.60 % (29882)Termination phase: Saturation
% 7.91/2.60
% 7.91/2.60 % (29882)Memory used [KB]: 6140
% 7.91/2.60 % (29882)Time elapsed: 0.049 s
% 7.91/2.60 % (29882)Instructions burned: 114 (million)
% 7.91/2.60 % (29882)------------------------------
% 7.91/2.60 % (29882)------------------------------
% 8.59/2.60 % (29886)Instruction limit reached!
% 8.59/2.60 % (29886)------------------------------
% 8.59/2.60 % (29886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.59/2.60 % (29886)Termination reason: Unknown
% 8.59/2.60 % (29886)Termination phase: Saturation
% 8.59/2.60
% 8.59/2.60 % (29886)Memory used [KB]: 10362
% 8.59/2.60 % (29886)Time elapsed: 0.023 s
% 8.59/2.60 % (29886)Instructions burned: 50 (million)
% 8.59/2.60 % (29886)------------------------------
% 8.59/2.60 % (29886)------------------------------
% 8.59/2.61 % (29887)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_29700 for (2990ds/368Mi)
% 8.59/2.62 % (29881)Instruction limit reached!
% 8.59/2.62 % (29881)------------------------------
% 8.59/2.62 % (29881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.59/2.62 % (29881)Termination reason: Unknown
% 8.59/2.62 % (29881)Termination phase: Saturation
% 8.59/2.62
% 8.59/2.62 % (29881)Memory used [KB]: 6524
% 8.59/2.62 % (29881)Time elapsed: 0.092 s
% 8.59/2.62 % (29881)Instructions burned: 216 (million)
% 8.59/2.62 % (29881)------------------------------
% 8.59/2.62 % (29881)------------------------------
% 8.59/2.62 % (29888)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_29700 for (2990ds/1021Mi)
% 8.59/2.63 % (29883)Refutation not found, incomplete strategy
% 8.59/2.63 % (29883)------------------------------
% 8.59/2.63 % (29883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.59/2.63 % (29883)Termination reason: Refutation not found, incomplete strategy
% 8.59/2.63
% 8.59/2.63
% 8.59/2.63 % (29883)Memory used [KB]: 7419
% 8.59/2.63 % (29883)Time elapsed: 0.073 s
% 8.59/2.63 % (29883)Instructions burned: 168 (million)
% 8.59/2.63 % (29883)------------------------------
% 8.59/2.63 % (29883)------------------------------
% 8.59/2.63 % (29885)Instruction limit reached!
% 8.59/2.63 % (29885)------------------------------
% 8.59/2.63 % (29885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.59/2.63 % (29885)Termination reason: Unknown
% 8.59/2.63 % (29885)Termination phase: Saturation
% 8.59/2.63
% 8.59/2.63 % (29885)Memory used [KB]: 2046
% 8.59/2.63 % (29885)Time elapsed: 0.071 s
% 8.59/2.63 % (29885)Instructions burned: 166 (million)
% 8.59/2.63 % (29885)------------------------------
% 8.59/2.63 % (29885)------------------------------
% 8.59/2.63 % (29884)Instruction limit reached!
% 8.59/2.63 % (29884)------------------------------
% 8.59/2.63 % (29884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.59/2.63 % (29884)Termination reason: Unknown
% 8.59/2.63 % (29884)Termination phase: Saturation
% 8.59/2.63
% 8.59/2.63 % (29884)Memory used [KB]: 6524
% 8.59/2.63 % (29884)Time elapsed: 0.081 s
% 8.59/2.63 % (29884)Instructions burned: 184 (million)
% 8.59/2.63 % (29884)------------------------------
% 8.59/2.63 % (29884)------------------------------
% 8.59/2.63 % (29889)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_29700 for (2990ds/267Mi)
% 8.59/2.64 % (29891)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_29700 for (2989ds/26Mi)
% 8.59/2.64 % (29890)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_29700 for (2989ds/204Mi)
% 8.59/2.65 % (29892)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_29700 for (2989ds/53Mi)
% 8.59/2.66 % (29891)Instruction limit reached!
% 8.59/2.66 % (29891)------------------------------
% 8.59/2.66 % (29891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.59/2.66 % (29891)Termination reason: Unknown
% 8.59/2.66 % (29891)Termination phase: Saturation
% 8.59/2.66
% 8.59/2.66 % (29891)Memory used [KB]: 5884
% 8.59/2.66 % (29891)Time elapsed: 0.014 s
% 8.59/2.66 % (29891)Instructions burned: 27 (million)
% 8.59/2.66 % (29891)------------------------------
% 8.59/2.66 % (29891)------------------------------
% 8.59/2.67 % (29893)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_29700 for (2989ds/4436Mi)
% 8.59/2.67 % (29892)Instruction limit reached!
% 8.59/2.67 % (29892)------------------------------
% 8.59/2.67 % (29892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.59/2.67 % (29892)Termination reason: Unknown
% 8.59/2.67 % (29892)Termination phase: Saturation
% 8.59/2.67
% 8.59/2.67 % (29892)Memory used [KB]: 6012
% 8.59/2.67 % (29892)Time elapsed: 0.025 s
% 8.59/2.67 % (29892)Instructions burned: 55 (million)
% 8.59/2.67 % (29892)------------------------------
% 8.59/2.67 % (29892)------------------------------
% 8.59/2.69 % (29894)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_29700 for (2989ds/1539Mi)
% 9.13/2.71 % (29893)Refutation not found, incomplete strategy
% 9.13/2.71 % (29893)------------------------------
% 9.13/2.71 % (29893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.13/2.71 % (29893)Termination reason: Refutation not found, incomplete strategy
% 9.13/2.71
% 9.13/2.71
% 9.13/2.71 % (29893)Memory used [KB]: 6140
% 9.13/2.71 % (29893)Time elapsed: 0.035 s
% 9.13/2.71 % (29893)Instructions burned: 76 (million)
% 9.13/2.71 % (29893)------------------------------
% 9.13/2.71 % (29893)------------------------------
% 9.13/2.71 % (29890)Refutation not found, incomplete strategy
% 9.13/2.71 % (29890)------------------------------
% 9.13/2.71 % (29890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.13/2.71 % (29890)Termination reason: Refutation not found, incomplete strategy
% 9.13/2.71
% 9.13/2.71
% 9.13/2.71 % (29890)Memory used [KB]: 6524
% 9.13/2.71 % (29890)Time elapsed: 0.069 s
% 9.13/2.71 % (29890)Instructions burned: 159 (million)
% 9.13/2.71 % (29890)------------------------------
% 9.13/2.71 % (29890)------------------------------
% 9.13/2.72 % (29895)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_29700 for (2989ds/408Mi)
% 9.13/2.73 % (29896)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_29700 for (2988ds/5205Mi)
% 9.13/2.75 % (29889)Instruction limit reached!
% 9.13/2.75 % (29889)------------------------------
% 9.13/2.75 % (29889)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.13/2.75 % (29889)Termination reason: Unknown
% 9.13/2.75 % (29889)Termination phase: Saturation
% 9.13/2.75
% 9.13/2.75 % (29889)Memory used [KB]: 6652
% 9.13/2.75 % (29889)Time elapsed: 0.121 s
% 9.13/2.75 % (29889)Instructions burned: 267 (million)
% 9.13/2.75 % (29889)------------------------------
% 9.13/2.75 % (29889)------------------------------
% 9.13/2.76 % (29887)Instruction limit reached!
% 9.13/2.76 % (29887)------------------------------
% 9.13/2.76 % (29887)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.13/2.76 % (29887)Termination reason: Unknown
% 9.13/2.76 % (29887)Termination phase: Saturation
% 9.13/2.76
% 9.13/2.76 % (29887)Memory used [KB]: 7036
% 9.13/2.76 % (29887)Time elapsed: 0.151 s
% 9.13/2.76 % (29887)Instructions burned: 369 (million)
% 9.13/2.76 % (29887)------------------------------
% 9.13/2.76 % (29887)------------------------------
% 9.13/2.77 % (29897)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_29700 for (2988ds/1913Mi)
% 9.13/2.78 % (29898)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_29700 for (2988ds/4350Mi)
% 9.57/2.83 % (29897)Refutation not found, incomplete strategy
% 9.57/2.83 % (29897)------------------------------
% 9.57/2.83 % (29897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.83 % (29897)Termination reason: Refutation not found, incomplete strategy
% 9.57/2.83
% 9.57/2.83
% 9.57/2.83 % (29897)Memory used [KB]: 1791
% 9.57/2.83 % (29897)Time elapsed: 0.065 s
% 9.57/2.83 % (29897)Instructions burned: 154 (million)
% 9.57/2.83 % (29897)------------------------------
% 9.57/2.83 % (29897)------------------------------
% 9.57/2.85 % (29899)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_29700 for (2987ds/68Mi)
% 9.57/2.87 % (29876)Instruction limit reached!
% 9.57/2.87 % (29876)------------------------------
% 9.57/2.87 % (29876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.87 % (29876)Termination reason: Unknown
% 9.57/2.87 % (29876)Termination phase: Saturation
% 9.57/2.87
% 9.57/2.87 % (29876)Memory used [KB]: 7419
% 9.57/2.87 % (29876)Time elapsed: 0.457 s
% 9.57/2.87 % (29876)Instructions burned: 987 (million)
% 9.57/2.87 % (29876)------------------------------
% 9.57/2.87 % (29876)------------------------------
% 9.57/2.88 % (29895)Instruction limit reached!
% 9.57/2.88 % (29895)------------------------------
% 9.57/2.88 % (29895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.88 % (29895)Termination reason: Unknown
% 9.57/2.88 % (29895)Termination phase: Saturation
% 9.57/2.88
% 9.57/2.88 % (29895)Memory used [KB]: 6012
% 9.57/2.88 % (29895)Time elapsed: 0.158 s
% 9.57/2.88 % (29895)Instructions burned: 409 (million)
% 9.57/2.88 % (29895)------------------------------
% 9.57/2.88 % (29895)------------------------------
% 9.57/2.88 % (29899)Instruction limit reached!
% 9.57/2.88 % (29899)------------------------------
% 9.57/2.88 % (29899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/2.88 % (29899)Termination reason: Unknown
% 9.57/2.88 % (29899)Termination phase: Saturation
% 9.57/2.88
% 9.57/2.88 % (29899)Memory used [KB]: 6140
% 9.57/2.88 % (29899)Time elapsed: 0.030 s
% 9.57/2.88 % (29899)Instructions burned: 68 (million)
% 9.57/2.88 % (29899)------------------------------
% 9.57/2.88 % (29899)------------------------------
% 9.57/2.89 % (29900)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_29700 for (2987ds/358Mi)
% 9.57/2.90 % (29901)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_29700 for (2987ds/31Mi)
% 9.57/2.90 % (29902)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_29700 for (2987ds/279Mi)
% 10.35/2.91 % (29901)Instruction limit reached!
% 10.35/2.91 % (29901)------------------------------
% 10.35/2.91 % (29901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.91 % (29901)Termination reason: Unknown
% 10.35/2.91 % (29901)Termination phase: Property scanning
% 10.35/2.91
% 10.35/2.91 % (29901)Memory used [KB]: 1279
% 10.35/2.91 % (29901)Time elapsed: 0.015 s
% 10.35/2.91 % (29901)Instructions burned: 31 (million)
% 10.35/2.91 % (29901)------------------------------
% 10.35/2.91 % (29901)------------------------------
% 10.35/2.93 % (29903)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_29700 for (2987ds/258Mi)
% 10.35/2.96 % (29900)Refutation not found, incomplete strategy
% 10.35/2.96 % (29900)------------------------------
% 10.35/2.96 % (29900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.96 % (29900)Termination reason: Refutation not found, incomplete strategy
% 10.35/2.96
% 10.35/2.96
% 10.35/2.96 % (29900)Memory used [KB]: 6524
% 10.35/2.96 % (29900)Time elapsed: 0.070 s
% 10.35/2.96 % (29900)Instructions burned: 162 (million)
% 10.35/2.96 % (29900)------------------------------
% 10.35/2.96 % (29900)------------------------------
% 10.35/2.98 % (29904)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_29700 for (2986ds/26Mi)
% 10.35/2.99 % (29904)Instruction limit reached!
% 10.35/2.99 % (29904)------------------------------
% 10.35/2.99 % (29904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/2.99 % (29904)Termination reason: Unknown
% 10.35/2.99 % (29904)Termination phase: Saturation
% 10.35/2.99
% 10.35/2.99 % (29904)Memory used [KB]: 5884
% 10.35/2.99 % (29904)Time elapsed: 0.014 s
% 10.35/2.99 % (29904)Instructions burned: 26 (million)
% 10.35/2.99 % (29904)------------------------------
% 10.35/2.99 % (29904)------------------------------
% 10.35/3.01 % (29905)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_29700 for (2986ds/995Mi)
% 10.35/3.01 % (29902)Instruction limit reached!
% 10.35/3.01 % (29902)------------------------------
% 10.35/3.01 % (29902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.35/3.01 % (29902)Termination reason: Unknown
% 10.35/3.01 % (29902)Termination phase: Saturation
% 10.35/3.01
% 10.35/3.01 % (29902)Memory used [KB]: 6524
% 10.35/3.01 % (29902)Time elapsed: 0.120 s
% 10.35/3.01 % (29902)Instructions burned: 281 (million)
% 10.35/3.01 % (29902)------------------------------
% 10.35/3.01 % (29902)------------------------------
% 12.06/3.03 % (29906)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_29700 for (2985ds/373Mi)
% 12.06/3.04 % (29888)Instruction limit reached!
% 12.06/3.04 % (29888)------------------------------
% 12.06/3.04 % (29888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.06/3.04 % (29888)Termination reason: Unknown
% 12.06/3.04 % (29888)Termination phase: Saturation
% 12.06/3.04
% 12.06/3.04 % (29888)Memory used [KB]: 8699
% 12.06/3.04 % (29888)Time elapsed: 0.418 s
% 12.06/3.04 % (29888)Instructions burned: 1023 (million)
% 12.06/3.04 % (29888)------------------------------
% 12.06/3.04 % (29888)------------------------------
% 12.06/3.04 % (29903)Instruction limit reached!
% 12.06/3.04 % (29903)------------------------------
% 12.06/3.04 % (29903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.06/3.04 % (29903)Termination reason: Unknown
% 12.06/3.04 % (29903)Termination phase: Saturation
% 12.06/3.04
% 12.06/3.04 % (29903)Memory used [KB]: 6012
% 12.06/3.04 % (29903)Time elapsed: 0.114 s
% 12.06/3.04 % (29903)Instructions burned: 258 (million)
% 12.06/3.04 % (29903)------------------------------
% 12.06/3.04 % (29903)------------------------------
% 12.06/3.05 % (29907)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_29700 for (2985ds/253Mi)
% 12.06/3.05 % (29908)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_29700 for (2985ds/832Mi)
% 12.06/3.07 % (29908)Refutation not found, incomplete strategy
% 12.06/3.07 % (29908)------------------------------
% 12.06/3.07 % (29908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.06/3.07 % (29908)Termination reason: Refutation not found, incomplete strategy
% 12.06/3.07
% 12.06/3.07
% 12.06/3.07 % (29908)Memory used [KB]: 5884
% 12.06/3.07 % (29908)Time elapsed: 0.016 s
% 12.06/3.07 % (29908)Instructions burned: 33 (million)
% 12.06/3.07 % (29908)------------------------------
% 12.06/3.07 % (29908)------------------------------
% 12.06/3.09 % (29909)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_29700 for (2985ds/668Mi)
% 12.53/3.17 % (29907)Instruction limit reached!
% 12.53/3.17 % (29907)------------------------------
% 12.53/3.17 % (29907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.53/3.17 % (29907)Termination reason: Unknown
% 12.53/3.17 % (29907)Termination phase: Saturation
% 12.53/3.17
% 12.53/3.17 % (29907)Memory used [KB]: 6652
% 12.53/3.17 % (29907)Time elapsed: 0.114 s
% 12.53/3.17 % (29907)Instructions burned: 253 (million)
% 12.53/3.17 % (29907)------------------------------
% 12.53/3.17 % (29907)------------------------------
% 12.53/3.18 % (29910)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_29700 for (2984ds/40Mi)
% 12.53/3.19 % (29906)Instruction limit reached!
% 12.53/3.19 % (29906)------------------------------
% 12.53/3.19 % (29906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.53/3.19 % (29906)Termination reason: Unknown
% 12.53/3.19 % (29906)Termination phase: Saturation
% 12.53/3.19
% 12.53/3.19 % (29906)Memory used [KB]: 7036
% 12.53/3.19 % (29906)Time elapsed: 0.155 s
% 12.53/3.19 % (29906)Instructions burned: 373 (million)
% 12.53/3.19 % (29906)------------------------------
% 12.53/3.19 % (29906)------------------------------
% 13.11/3.20 % (29910)Instruction limit reached!
% 13.11/3.20 % (29910)------------------------------
% 13.11/3.20 % (29910)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.11/3.20 % (29910)Termination reason: Unknown
% 13.11/3.20 % (29910)Termination phase: Saturation
% 13.11/3.20
% 13.11/3.20 % (29910)Memory used [KB]: 5884
% 13.11/3.20 % (29910)Time elapsed: 0.019 s
% 13.11/3.20 % (29910)Instructions burned: 40 (million)
% 13.11/3.20 % (29910)------------------------------
% 13.11/3.20 % (29910)------------------------------
% 13.11/3.20 % (29911)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_29700 for (2984ds/294Mi)
% 13.11/3.22 % (29912)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_29700 for (2984ds/187Mi)
% 13.11/3.29 % (29912)Instruction limit reached!
% 13.11/3.29 % (29912)------------------------------
% 13.11/3.29 % (29912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.11/3.29 % (29912)Termination reason: Unknown
% 13.11/3.29 % (29912)Termination phase: Saturation
% 13.11/3.29
% 13.11/3.29 % (29912)Memory used [KB]: 6524
% 13.11/3.29 % (29912)Time elapsed: 0.078 s
% 13.11/3.29 % (29912)Instructions burned: 188 (million)
% 13.11/3.29 % (29912)------------------------------
% 13.11/3.29 % (29912)------------------------------
% 13.65/3.31 % (29913)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_29700 for (2983ds/371Mi)
% 13.65/3.33 % (29911)Instruction limit reached!
% 13.65/3.33 % (29911)------------------------------
% 13.65/3.33 % (29911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.65/3.33 % (29911)Termination reason: Unknown
% 13.65/3.33 % (29911)Termination phase: Saturation
% 13.65/3.33
% 13.65/3.33 % (29911)Memory used [KB]: 6780
% 13.65/3.33 % (29911)Time elapsed: 0.127 s
% 13.65/3.33 % (29911)Instructions burned: 294 (million)
% 13.65/3.33 % (29911)------------------------------
% 13.65/3.33 % (29911)------------------------------
% 13.65/3.34 % (29894)Instruction limit reached!
% 13.65/3.34 % (29894)------------------------------
% 13.65/3.34 % (29894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.65/3.34 % (29894)Termination reason: Unknown
% 13.65/3.34 % (29894)Termination phase: Saturation
% 13.65/3.34
% 13.65/3.34 % (29894)Memory used [KB]: 9594
% 13.65/3.34 % (29894)Time elapsed: 0.652 s
% 13.65/3.34 % (29894)Instructions burned: 1539 (million)
% 13.65/3.34 % (29894)------------------------------
% 13.65/3.34 % (29894)------------------------------
% 13.65/3.35 % (29914)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_29700 for (2982ds/1827Mi)
% 13.65/3.36 % (29915)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_29700 for (2982ds/70Mi)
% 13.65/3.38 % (29913)Refutation not found, incomplete strategy
% 13.65/3.38 % (29913)------------------------------
% 13.65/3.38 % (29913)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.65/3.38 % (29913)Termination reason: Refutation not found, incomplete strategy
% 13.65/3.38
% 13.65/3.38
% 13.65/3.38 % (29913)Memory used [KB]: 6524
% 13.65/3.38 % (29913)Time elapsed: 0.066 s
% 13.65/3.38 % (29913)Instructions burned: 155 (million)
% 13.65/3.38 % (29913)------------------------------
% 13.65/3.38 % (29913)------------------------------
% 13.65/3.38 % (29905)Refutation not found, non-redundant clauses discarded% (29905)------------------------------
% 13.65/3.38 % (29905)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.65/3.38 % (29905)Termination reason: Refutation not found, non-redundant clauses discarded
% 13.65/3.38
% 13.65/3.38 % (29905)Memory used [KB]: 7419
% 13.65/3.38 % (29905)Time elapsed: 0.374 s
% 13.65/3.38 % (29905)Instructions burned: 829 (million)
% 13.65/3.38 % (29905)------------------------------
% 13.65/3.38 % (29905)------------------------------
% 13.65/3.38 % (29909)Instruction limit reached!
% 13.65/3.38 % (29909)------------------------------
% 13.65/3.38 % (29909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.65/3.38 % (29909)Termination reason: Unknown
% 13.65/3.38 % (29909)Termination phase: Saturation
% 13.65/3.38
% 13.65/3.38 % (29909)Memory used [KB]: 11513
% 13.65/3.38 % (29909)Time elapsed: 0.295 s
% 13.65/3.38 % (29909)Instructions burned: 668 (million)
% 13.65/3.38 % (29909)------------------------------
% 13.65/3.38 % (29909)------------------------------
% 13.65/3.39 % (29915)Instruction limit reached!
% 13.65/3.39 % (29915)------------------------------
% 13.65/3.39 % (29915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.65/3.39 % (29915)Termination reason: Unknown
% 13.65/3.39 % (29915)Termination phase: Saturation
% 13.65/3.39
% 13.65/3.39 % (29915)Memory used [KB]: 1663
% 13.65/3.39 % (29915)Time elapsed: 0.032 s
% 13.65/3.39 % (29915)Instructions burned: 71 (million)
% 13.65/3.39 % (29915)------------------------------
% 13.65/3.39 % (29915)------------------------------
% 13.65/3.39 % (29916)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_29700 for (2982ds/316Mi)
% 13.65/3.39 % (29917)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_29700 for (2982ds/932Mi)
% 13.65/3.40 % (29918)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_29700 for (2982ds/4714Mi)
% 14.58/3.40 % (29919)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_29700 for (2982ds/8250Mi)
% 14.78/3.52 % (29916)Instruction limit reached!
% 14.78/3.52 % (29916)------------------------------
% 14.78/3.52 % (29916)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.78/3.52 % (29916)Termination reason: Unknown
% 14.78/3.52 % (29916)Termination phase: Saturation
% 14.78/3.52
% 14.78/3.52 % (29916)Memory used [KB]: 6652
% 14.78/3.52 % (29916)Time elapsed: 0.132 s
% 14.78/3.52 % (29916)Instructions burned: 316 (million)
% 14.78/3.52 % (29916)------------------------------
% 14.78/3.52 % (29916)------------------------------
% 14.78/3.54 % (29920)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_29700 for (2980ds/770Mi)
% 15.12/3.69 % (29920)Refutation not found, incomplete strategy
% 15.12/3.69 % (29920)------------------------------
% 15.12/3.69 % (29920)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.12/3.69 % (29920)Termination reason: Refutation not found, incomplete strategy
% 15.12/3.69
% 15.12/3.69
% 15.12/3.69 % (29920)Memory used [KB]: 6268
% 15.12/3.69 % (29920)Time elapsed: 0.149 s
% 15.12/3.69 % (29920)Instructions burned: 381 (million)
% 15.12/3.69 % (29920)------------------------------
% 15.12/3.69 % (29920)------------------------------
% 15.49/3.71 % (29921)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_29700 for (2979ds/794Mi)
% 15.69/3.82 % (29917)Instruction limit reached!
% 15.69/3.82 % (29917)------------------------------
% 15.69/3.82 % (29917)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.69/3.82 % (29917)Termination reason: Unknown
% 15.69/3.82 % (29917)Termination phase: Saturation
% 15.69/3.82
% 15.69/3.82 % (29917)Memory used [KB]: 7931
% 15.69/3.82 % (29917)Time elapsed: 0.427 s
% 15.69/3.82 % (29917)Instructions burned: 933 (million)
% 15.69/3.82 % (29917)------------------------------
% 15.69/3.82 % (29917)------------------------------
% 15.69/3.84 % (29922)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_29700 for (2978ds/464Mi)
% 15.69/3.86 % (29918)First to succeed.
% 16.33/3.97 % (29918)Refutation found. Thanks to Tanya!
% 16.33/3.97 % SZS status Theorem for DTF2THF_29700
% 16.33/3.97 % SZS output start Proof for DTF2THF_29700
% 16.33/3.97 thf(type_def_5, type, mworld: $tType).
% 16.33/3.97 thf(func_def_0, type, mworld: $tType).
% 16.33/3.97 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 16.33/3.97 thf(func_def_2, type, mactual: mworld).
% 16.33/3.97 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 16.33/3.97 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 16.33/3.97 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 16.33/3.97 thf(func_def_15, type, chevy: $i > mworld > $o).
% 16.33/3.97 thf(func_def_16, type, dirty: $i > mworld > $o).
% 16.33/3.97 thf(func_def_17, type, barrel: $i > $i > mworld > $o).
% 16.33/3.97 thf(func_def_18, type, hollywood: $i > mworld > $o).
% 16.33/3.97 thf(func_def_19, type, city: $i > mworld > $o).
% 16.33/3.97 thf(func_def_20, type, in: $i > $i > mworld > $o).
% 16.33/3.97 thf(func_def_21, type, young: $i > mworld > $o).
% 16.33/3.97 thf(func_def_22, type, old: $i > mworld > $o).
% 16.33/3.97 thf(func_def_23, type, down: $i > $i > mworld > $o).
% 16.33/3.97 thf(func_def_24, type, way: $i > mworld > $o).
% 16.33/3.97 thf(func_def_25, type, qmltpeq: $i > $i > mworld > $o).
% 16.33/3.97 thf(func_def_26, type, seat: $i > mworld > $o).
% 16.33/3.97 thf(func_def_27, type, white: $i > mworld > $o).
% 16.33/3.97 thf(func_def_28, type, car: $i > mworld > $o).
% 16.33/3.97 thf(func_def_29, type, furniture: $i > mworld > $o).
% 16.33/3.97 thf(func_def_30, type, street: $i > mworld > $o).
% 16.33/3.97 thf(func_def_31, type, fellow: $i > mworld > $o).
% 16.33/3.97 thf(func_def_32, type, front: $i > mworld > $o).
% 16.33/3.97 thf(func_def_33, type, man: $i > mworld > $o).
% 16.33/3.97 thf(func_def_34, type, event: $i > mworld > $o).
% 16.33/3.97 thf(func_def_35, type, lonely: $i > mworld > $o).
% 16.33/3.97 thf(func_def_57, type, ph1: !>[X0: $tType]:(X0)).
% 16.33/3.97 thf(f1268,plain,(
% 16.33/3.97 $false),
% 16.33/3.97 inference(avatar_sat_refutation,[status(thm)],[f226,f239,f408,f456,f492,f511,f514,f680,f821,f960,f977,f1002,f1061,f1097,f1114,f1125,f1242,f1267])).
% 16.33/3.97 thf(f1267,plain,(
% 16.33/3.97 spl0_1 | ~spl0_10),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f1266])).
% 16.33/3.97 thf(f1266,plain,(
% 16.33/3.97 $false | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1265])).
% 16.33/3.97 thf(f1265,plain,(
% 16.33/3.97 ($true = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(backward_demodulation,[status(thm)],[f1188,f1264])).
% 16.33/3.97 thf(f1264,plain,(
% 16.33/3.97 ((car @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1263])).
% 16.33/3.97 thf(f1263,plain,(
% 16.33/3.97 ((car @ sK6 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1262,f1186])).
% 16.33/3.97 thf(f1186,plain,(
% 16.33/3.97 ($true = (chevy @ sK6 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1183])).
% 16.33/3.97 thf(f1183,plain,(
% 16.33/3.97 ($true = ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1181])).
% 16.33/3.97 thf(f1181,plain,(
% 16.33/3.97 ($true = ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1179])).
% 16.33/3.97 thf(f1179,plain,(
% 16.33/3.97 ($true = ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1177])).
% 16.33/3.97 thf(f1177,plain,(
% 16.33/3.97 ($true = ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1175])).
% 16.33/3.97 thf(f1175,plain,(
% 16.33/3.97 ($true = ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1173])).
% 16.33/3.97 thf(f1173,plain,(
% 16.33/3.97 ($true = ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1171])).
% 16.33/3.97 thf(f1171,plain,(
% 16.33/3.97 ($true = ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1169])).
% 16.33/3.97 thf(f1169,plain,(
% 16.33/3.97 ($true = ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1167])).
% 16.33/3.97 thf(f1167,plain,(
% 16.33/3.97 ($true = ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1165])).
% 16.33/3.97 thf(f1165,plain,(
% 16.33/3.97 ($true = ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1164])).
% 16.33/3.97 thf(f1164,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK11 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1163])).
% 16.33/3.97 thf(f1163,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))))) @ sK11)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1161])).
% 16.33/3.97 thf(f1161,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1160])).
% 16.33/3.97 thf(f1160,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK10 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1159])).
% 16.33/3.97 thf(f1159,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))) @ sK10)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1157])).
% 16.33/3.97 thf(f1157,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1156])).
% 16.33/3.97 thf(f1156,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1155])).
% 16.33/3.97 thf(f1155,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))) @ sK9)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1153])).
% 16.33/3.97 thf(f1153,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1152])).
% 16.33/3.97 thf(f1152,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1151])).
% 16.33/3.97 thf(f1151,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))) @ sK8)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1149])).
% 16.33/3.97 thf(f1149,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1148])).
% 16.33/3.97 thf(f1148,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1147])).
% 16.33/3.97 thf(f1147,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))) @ sK7)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1145])).
% 16.33/3.97 thf(f1145,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1144])).
% 16.33/3.97 thf(f1144,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1143])).
% 16.33/3.97 thf(f1143,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) @ sK6)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1141])).
% 16.33/3.97 thf(f1141,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1140])).
% 16.33/3.97 thf(f1140,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1139])).
% 16.33/3.97 thf(f1139,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK5)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1137])).
% 16.33/3.97 thf(f1137,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1136])).
% 16.33/3.97 thf(f1136,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1135])).
% 16.33/3.97 thf(f1135,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK4)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1133])).
% 16.33/3.97 thf(f1133,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1132])).
% 16.33/3.97 thf(f1132,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1131])).
% 16.33/3.97 thf(f1131,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK3)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f1129])).
% 16.33/3.97 thf(f1129,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1128])).
% 16.33/3.97 thf(f1128,plain,(
% 16.33/3.97 ($true = ((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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1127])).
% 16.33/3.97 thf(f1127,plain,(
% 16.33/3.97 ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK2)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f220])).
% 16.33/3.97 thf(f220,plain,(
% 16.33/3.97 ((?? @ $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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) != $false) | spl0_1),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f219])).
% 16.33/3.97 thf(f219,definition,(
% 16.33/3.97 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 16.33/3.97 thf(f1262,plain,(
% 16.33/3.97 ((chevy @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1261])).
% 16.33/3.97 thf(f1261,plain,(
% 16.33/3.97 ($true = $false) | ((chevy @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1260,f1190])).
% 16.33/3.97 thf(f1190,plain,(
% 16.33/3.97 ($true = (white @ sK6 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1187])).
% 16.33/3.97 thf(f1187,plain,(
% 16.33/3.97 ($true = ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1185])).
% 16.33/3.97 thf(f1185,plain,(
% 16.33/3.97 ($true = ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1183])).
% 16.33/3.97 thf(f1260,plain,(
% 16.33/3.97 ((car @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1259])).
% 16.33/3.97 thf(f1259,plain,(
% 16.33/3.97 ((white @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ($true = $false) | ((chevy @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1258,f1146])).
% 16.33/3.97 thf(f1146,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK6 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1144])).
% 16.33/3.97 thf(f1258,plain,(
% 16.33/3.97 ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1257])).
% 16.33/3.97 thf(f1257,plain,(
% 16.33/3.97 ($true = $false) | ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1256,f1194])).
% 16.33/3.97 thf(f1194,plain,(
% 16.33/3.97 ($true = (old @ sK6 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1191])).
% 16.33/3.97 thf(f1191,plain,(
% 16.33/3.97 ($true = ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1189])).
% 16.33/3.97 thf(f1189,plain,(
% 16.33/3.97 ($true = ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1187])).
% 16.33/3.97 thf(f1256,plain,(
% 16.33/3.97 ((old @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1255])).
% 16.33/3.97 thf(f1255,plain,(
% 16.33/3.97 ((car @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1254,f1192])).
% 16.33/3.97 thf(f1192,plain,(
% 16.33/3.97 ($true = (dirty @ sK6 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1189])).
% 16.33/3.97 thf(f1254,plain,(
% 16.33/3.97 ((dirty @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | ((white @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1251])).
% 16.33/3.97 thf(f1251,plain,(
% 16.33/3.97 ((white @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ($true = $false) | ((chevy @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.33/3.97 inference(superposition,[status(thm)],[f478,f1202])).
% 16.33/3.97 thf(f1202,plain,(
% 16.33/3.97 ($true = (barrel @ sK5 @ sK6 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1199])).
% 16.33/3.97 thf(f1199,plain,(
% 16.33/3.97 ($true = ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1197])).
% 16.33/3.97 thf(f1197,plain,(
% 16.33/3.97 ($true = ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1195])).
% 16.33/3.97 thf(f1195,plain,(
% 16.33/3.97 ($true = ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1193])).
% 16.33/3.97 thf(f1193,plain,(
% 16.33/3.97 ($true = ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1191])).
% 16.33/3.97 thf(f478,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((barrel @ sK5 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | ~spl0_10),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f477])).
% 16.33/3.97 thf(f477,definition,(
% 16.33/3.97 spl0_10 <=> ! [X0 : $i] : (((chevy @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 16.33/3.97 thf(f1188,plain,(
% 16.33/3.97 ($true = (car @ sK6 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1185])).
% 16.33/3.97 thf(f1242,plain,(
% 16.33/3.97 spl0_1 | ~spl0_9),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f1241])).
% 16.33/3.97 thf(f1241,plain,(
% 16.33/3.97 $false | (spl0_1 | ~spl0_9)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1240])).
% 16.33/3.97 thf(f1240,plain,(
% 16.33/3.97 ($true = $false) | (spl0_1 | ~spl0_9)),
% 16.33/3.97 inference(backward_demodulation,[status(thm)],[f1138,f1239])).
% 16.33/3.97 thf(f1239,plain,(
% 16.33/3.97 ((eiw_di @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_9)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1238])).
% 16.33/3.97 thf(f1238,plain,(
% 16.33/3.97 ($true = $false) | ((eiw_di @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_9)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1237,f1180])).
% 16.33/3.97 thf(f1180,plain,(
% 16.33/3.97 ($true = (hollywood @ sK4 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1177])).
% 16.33/3.97 thf(f1237,plain,(
% 16.33/3.97 ((eiw_di @ sK4 @ mactual) = $false) | ((hollywood @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_9)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1236])).
% 16.33/3.97 thf(f1236,plain,(
% 16.33/3.97 ((eiw_di @ sK4 @ mactual) = $false) | ((hollywood @ sK4 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_9)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1235,f1182])).
% 16.33/3.97 thf(f1182,plain,(
% 16.33/3.97 ($true = (city @ sK4 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1179])).
% 16.33/3.97 thf(f1235,plain,(
% 16.33/3.97 ((eiw_di @ sK4 @ mactual) = $false) | ((city @ sK4 @ mactual) = $false) | ((hollywood @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_9)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1232])).
% 16.33/3.97 thf(f1232,plain,(
% 16.33/3.97 ((hollywood @ sK4 @ mactual) = $false) | ((city @ sK4 @ mactual) = $false) | ((eiw_di @ sK4 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_9)),
% 16.33/3.97 inference(superposition,[status(thm)],[f1206,f475])).
% 16.33/3.97 thf(f475,plain,(
% 16.33/3.97 ( ! [X1 : $i] : (((in @ sK5 @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false)) ) | ~spl0_9),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f474])).
% 16.33/3.97 thf(f474,definition,(
% 16.33/3.97 spl0_9 <=> ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 16.33/3.97 thf(f1206,plain,(
% 16.33/3.97 ($true = (in @ sK5 @ sK4 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1203])).
% 16.33/3.97 thf(f1203,plain,(
% 16.33/3.97 ($true = ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1201])).
% 16.33/3.97 thf(f1201,plain,(
% 16.33/3.97 ($true = ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1199])).
% 16.33/3.97 thf(f1138,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK4 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1136])).
% 16.33/3.97 thf(f1125,plain,(
% 16.33/3.97 spl0_2 | ~spl0_13),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f1124])).
% 16.33/3.97 thf(f1124,plain,(
% 16.33/3.97 $false | (spl0_2 | ~spl0_13)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1123])).
% 16.33/3.97 thf(f1123,plain,(
% 16.33/3.97 ($true = $false) | (spl0_2 | ~spl0_13)),
% 16.33/3.97 inference(backward_demodulation,[status(thm)],[f837,f1122])).
% 16.33/3.97 thf(f1122,plain,(
% 16.33/3.97 ((eiw_di @ sK14 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1121])).
% 16.33/3.97 thf(f1121,plain,(
% 16.33/3.97 ($true = $false) | ((eiw_di @ sK14 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1120,f881])).
% 16.33/3.97 thf(f881,plain,(
% 16.33/3.97 ($true = (city @ sK14 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f878])).
% 16.33/3.97 thf(f878,plain,(
% 16.33/3.97 ($true = ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f876])).
% 16.33/3.97 thf(f876,plain,(
% 16.33/3.97 ($true = ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f874])).
% 16.33/3.97 thf(f874,plain,(
% 16.33/3.97 ($true = ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f872])).
% 16.33/3.97 thf(f872,plain,(
% 16.33/3.97 ($true = ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f870])).
% 16.33/3.97 thf(f870,plain,(
% 16.33/3.97 ($true = ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f868])).
% 16.33/3.97 thf(f868,plain,(
% 16.33/3.97 ($true = ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f866])).
% 16.33/3.97 thf(f866,plain,(
% 16.33/3.97 ($true = ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f864])).
% 16.33/3.97 thf(f864,plain,(
% 16.33/3.97 ($true = ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f863])).
% 16.33/3.97 thf(f863,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK21 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f862])).
% 16.33/3.97 thf(f862,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ Y0 @ mactual) & (in @ Y0 @ sK13 @ mactual))))))))))))))))))))))))))))))))) @ sK21)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f860])).
% 16.33/3.97 thf(f860,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ Y0 @ mactual) & (in @ Y0 @ sK13 @ mactual))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f859])).
% 16.33/3.97 thf(f859,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK20 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ Y0 @ mactual) & (in @ Y0 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f858])).
% 16.33/3.97 thf(f858,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ Y0 @ mactual) & ((in @ Y0 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ Y1 @ mactual) & (in @ Y1 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))) @ sK20)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f856])).
% 16.33/3.97 thf(f856,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ Y0 @ mactual) & ((in @ Y0 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ Y1 @ mactual) & (in @ Y1 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f855])).
% 16.33/3.97 thf(f855,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK19 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ Y0 @ mactual) & ((in @ Y0 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ Y1 @ mactual) & (in @ Y1 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f854])).
% 16.33/3.97 thf(f854,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ Y0 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK18 @ Y1 @ mactual) & ((in @ Y1 @ sK12 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))) @ sK19)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f852])).
% 16.33/3.97 thf(f852,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ Y0 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK18 @ Y1 @ mactual) & ((in @ Y1 @ sK12 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f851])).
% 16.33/3.97 thf(f851,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK18 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ Y0 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK18 @ Y1 @ mactual) & ((in @ Y1 @ sK12 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f850])).
% 16.33/3.97 thf(f850,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK12 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))) @ sK18)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f848])).
% 16.33/3.97 thf(f848,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK12 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f847])).
% 16.33/3.97 thf(f847,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK12 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f846])).
% 16.33/3.97 thf(f846,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK15 @ Y0 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK12 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))))))))) @ sK17)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f844])).
% 16.33/3.97 thf(f844,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK15 @ Y0 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK12 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f843])).
% 16.33/3.97 thf(f843,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK15 @ Y0 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK12 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f842])).
% 16.33/3.97 thf(f842,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK15 @ Y1 @ mactual) & ((down @ sK15 @ Y0 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK12 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) @ sK16)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f840])).
% 16.33/3.97 thf(f840,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK15 @ Y1 @ mactual) & ((down @ sK15 @ Y0 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK12 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f839])).
% 16.33/3.97 thf(f839,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK15 @ Y1 @ mactual) & ((down @ sK15 @ Y0 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK12 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f838])).
% 16.33/3.97 thf(f838,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ sK14 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK12 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK15)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f836])).
% 16.33/3.97 thf(f836,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ sK14 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK12 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f835])).
% 16.33/3.97 thf(f835,plain,(
% 16.33/3.97 ($true = ((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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ sK14 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK12 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f834])).
% 16.33/3.97 thf(f834,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK12 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK14)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f832])).
% 16.33/3.97 thf(f832,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK12 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK13 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f831])).
% 16.33/3.97 thf(f831,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK12 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK13 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f830])).
% 16.33/3.97 thf(f830,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((barrel @ Y2 @ Y4 @ mactual) & ((down @ Y2 @ Y3 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK12 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK13)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f828])).
% 16.33/3.97 thf(f828,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((barrel @ Y2 @ Y4 @ mactual) & ((down @ Y2 @ Y3 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK12 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f827])).
% 16.33/3.97 thf(f827,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((barrel @ Y2 @ Y4 @ mactual) & ((down @ Y2 @ Y3 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK12 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f826])).
% 16.33/3.97 thf(f826,plain,(
% 16.33/3.97 ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK12)) | spl0_2),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f224])).
% 16.33/3.97 thf(f224,plain,(
% 16.33/3.97 ((?? @ $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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) != $false) | spl0_2),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f223])).
% 16.33/3.97 thf(f223,definition,(
% 16.33/3.97 spl0_2 <=> ((?? @ $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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 16.33/3.97 thf(f1120,plain,(
% 16.33/3.97 ((eiw_di @ sK14 @ mactual) = $false) | ((city @ sK14 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1119])).
% 16.33/3.97 thf(f1119,plain,(
% 16.33/3.97 ((city @ sK14 @ mactual) = $false) | ($true = $false) | ((eiw_di @ sK14 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1118,f879])).
% 16.33/3.97 thf(f879,plain,(
% 16.33/3.97 ($true = (hollywood @ sK14 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f876])).
% 16.33/3.97 thf(f1118,plain,(
% 16.33/3.97 ((hollywood @ sK14 @ mactual) = $false) | ((city @ sK14 @ mactual) = $false) | ((eiw_di @ sK14 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1115])).
% 16.33/3.97 thf(f1115,plain,(
% 16.33/3.97 ((hollywood @ sK14 @ mactual) = $false) | ($true = $false) | ((city @ sK14 @ mactual) = $false) | ((eiw_di @ sK14 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.33/3.97 inference(superposition,[status(thm)],[f1080,f905])).
% 16.33/3.97 thf(f905,plain,(
% 16.33/3.97 ($true = (in @ sK15 @ sK14 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f902])).
% 16.33/3.97 thf(f902,plain,(
% 16.33/3.97 ($true = ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f900])).
% 16.33/3.97 thf(f900,plain,(
% 16.33/3.97 ($true = ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f898])).
% 16.33/3.97 thf(f898,plain,(
% 16.33/3.97 ($true = ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f896])).
% 16.33/3.97 thf(f896,plain,(
% 16.33/3.97 ($true = ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f894])).
% 16.33/3.97 thf(f894,plain,(
% 16.33/3.97 ($true = ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f892])).
% 16.33/3.97 thf(f892,plain,(
% 16.33/3.97 ($true = ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f890])).
% 16.33/3.97 thf(f890,plain,(
% 16.33/3.97 ($true = ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f888])).
% 16.33/3.97 thf(f888,plain,(
% 16.33/3.97 ($true = ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f886])).
% 16.33/3.97 thf(f886,plain,(
% 16.33/3.97 ($true = ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f884])).
% 16.33/3.97 thf(f884,plain,(
% 16.33/3.97 ($true = ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f882])).
% 16.33/3.97 thf(f882,plain,(
% 16.33/3.97 ($true = ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f880])).
% 16.33/3.97 thf(f880,plain,(
% 16.33/3.97 ($true = ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f878])).
% 16.33/3.97 thf(f1080,plain,(
% 16.33/3.97 ( ! [X1 : $i] : (((in @ sK15 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false)) ) | ~spl0_13),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f1079])).
% 16.33/3.97 thf(f1079,definition,(
% 16.33/3.97 spl0_13 <=> ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
% 16.33/3.97 thf(f837,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK14 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f835])).
% 16.33/3.97 thf(f1114,plain,(
% 16.33/3.97 spl0_2 | ~spl0_14),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f1113])).
% 16.33/3.97 thf(f1113,plain,(
% 16.33/3.97 $false | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1112])).
% 16.33/3.97 thf(f1112,plain,(
% 16.33/3.97 ($true = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(backward_demodulation,[status(thm)],[f893,f1111])).
% 16.33/3.97 thf(f1111,plain,(
% 16.33/3.97 ((car @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1110])).
% 16.33/3.97 thf(f1110,plain,(
% 16.33/3.97 ($true = $false) | ((car @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1109,f897])).
% 16.33/3.97 thf(f897,plain,(
% 16.33/3.97 ($true = (dirty @ sK17 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f894])).
% 16.33/3.97 thf(f1109,plain,(
% 16.33/3.97 ((car @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1108])).
% 16.33/3.97 thf(f1108,plain,(
% 16.33/3.97 ($true = $false) | ((dirty @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1107,f899])).
% 16.33/3.97 thf(f899,plain,(
% 16.33/3.97 ($true = (old @ sK17 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f896])).
% 16.33/3.97 thf(f1107,plain,(
% 16.33/3.97 ((old @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1106])).
% 16.33/3.97 thf(f1106,plain,(
% 16.33/3.97 ((dirty @ sK17 @ mactual) = $false) | ($true = $false) | ((old @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1105,f849])).
% 16.33/3.97 thf(f849,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK17 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f847])).
% 16.33/3.97 thf(f1105,plain,(
% 16.33/3.97 ((eiw_di @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1104])).
% 16.33/3.97 thf(f1104,plain,(
% 16.33/3.97 ((old @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ($true = $false) | ((eiw_di @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1103,f891])).
% 16.33/3.97 thf(f891,plain,(
% 16.33/3.97 ($true = (chevy @ sK17 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f888])).
% 16.33/3.97 thf(f1103,plain,(
% 16.33/3.97 ((car @ sK17 @ mactual) = $false) | ((chevy @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | ((eiw_di @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1102])).
% 16.33/3.97 thf(f1102,plain,(
% 16.33/3.97 ($true = $false) | ((dirty @ sK17 @ mactual) = $false) | ((chevy @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | ((eiw_di @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1101,f895])).
% 16.33/3.97 thf(f895,plain,(
% 16.33/3.97 ($true = (white @ sK17 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f892])).
% 16.33/3.97 thf(f1101,plain,(
% 16.33/3.97 ((white @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | ((eiw_di @ sK17 @ mactual) = $false) | ((chevy @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ((old @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1098])).
% 16.33/3.97 thf(f1098,plain,(
% 16.33/3.97 ((white @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | ((chevy @ sK17 @ mactual) = $false) | ((eiw_di @ sK17 @ mactual) = $false) | ($true = $false) | ((old @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.33/3.97 inference(superposition,[status(thm)],[f1083,f901])).
% 16.33/3.97 thf(f901,plain,(
% 16.33/3.97 ($true = (barrel @ sK15 @ sK17 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f898])).
% 16.33/3.97 thf(f1083,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((barrel @ sK15 @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false)) ) | ~spl0_14),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f1082])).
% 16.33/3.97 thf(f1082,definition,(
% 16.33/3.97 spl0_14 <=> ! [X0 : $i] : (((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition])).
% 16.33/3.97 thf(f893,plain,(
% 16.33/3.97 ($true = (car @ sK17 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f890])).
% 16.33/3.97 thf(f1097,plain,(
% 16.33/3.97 spl0_13 | spl0_14 | spl0_2 | ~spl0_6),
% 16.33/3.97 inference(avatar_split_clause,[status(thm)],[f1096,f406,f223,f1082,f1079])).
% 16.33/3.97 thf(f406,definition,(
% 16.33/3.97 spl0_6 <=> ! [X5 : $i,X4 : $i,X6 : $i,X3 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 16.33/3.97 thf(f1096,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((car @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1095])).
% 16.33/3.97 thf(f1095,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1094,f883])).
% 16.33/3.97 thf(f883,plain,(
% 16.33/3.97 ($true = (event @ sK15 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f880])).
% 16.33/3.97 thf(f1094,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((city @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1093])).
% 16.33/3.97 thf(f1093,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((city @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1092,f885])).
% 16.33/3.97 thf(f885,plain,(
% 16.33/3.97 ($true = (street @ sK16 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f882])).
% 16.33/3.97 thf(f1092,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1091])).
% 16.33/3.97 thf(f1091,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((event @ sK15 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1090,f845])).
% 16.33/3.97 thf(f845,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK16 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f843])).
% 16.33/3.97 thf(f1090,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((hollywood @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ sK16 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1089])).
% 16.33/3.97 thf(f1089,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((white @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ sK16 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ($true = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1088,f889])).
% 16.33/3.97 thf(f889,plain,(
% 16.33/3.97 ($true = (lonely @ sK16 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f886])).
% 16.33/3.97 thf(f1088,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((dirty @ X0 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ sK16 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((car @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1087])).
% 16.33/3.97 thf(f1087,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((city @ X1 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ($true = $false) | ((hollywood @ X1 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((eiw_di @ sK16 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1086,f887])).
% 16.33/3.97 thf(f887,plain,(
% 16.33/3.97 ($true = (way @ sK16 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f884])).
% 16.33/3.97 thf(f1086,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((city @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK16 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1085])).
% 16.33/3.97 thf(f1085,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((street @ sK16 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($true = $false) | ((old @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ sK16 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f1064,f841])).
% 16.33/3.97 thf(f841,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK15 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f839])).
% 16.33/3.97 thf(f1064,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((old @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ sK16 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1063])).
% 16.33/3.97 thf(f1063,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((event @ sK15 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((barrel @ sK15 @ X0 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ($true = $false) | ((city @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((eiw_di @ sK16 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((in @ sK15 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.33/3.97 inference(superposition,[status(thm)],[f903,f407])).
% 16.33/3.97 thf(f407,plain,(
% 16.33/3.97 ( ! [X3 : $i,X6 : $i,X4 : $i,X5 : $i] : (((down @ X4 @ X5 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_6),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f406])).
% 16.33/3.97 thf(f903,plain,(
% 16.33/3.97 ($true = (down @ sK15 @ sK16 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f900])).
% 16.33/3.97 thf(f1061,plain,(
% 16.33/3.97 spl0_6 | spl0_5 | ~spl0_1),
% 16.33/3.97 inference(avatar_split_clause,[status(thm)],[f1060,f219,f403,f406])).
% 16.33/3.97 thf(f403,definition,(
% 16.33/3.97 spl0_5 <=> ! [X2 : $i,X10 : $i,X7 : $i,X8 : $i,X9 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((man @ X7 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((qmltpeq @ X8 @ X10 @ mactual) = $false) | ((in @ X10 @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 16.33/3.97 thf(f1060,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((young @ X8 @ mactual) = $false) | ((qmltpeq @ X8 @ X10 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((man @ X8 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((dirty @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X10 @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1059])).
% 16.33/3.97 thf(f1059,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((event @ X4 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | (((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1058])).
% 16.33/3.97 thf(f1058,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((way @ X6 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | (((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))) = $false) | ((street @ X6 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((white @ X5 @ mactual) = $false) | ((young @ X8 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1057])).
% 16.33/3.97 thf(f1057,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (fellow @ X7 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | (((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1056])).
% 16.33/3.97 thf(f1056,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((hollywood @ X3 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | (((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((eiw_di @ X10 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1055])).
% 16.33/3.97 thf(f1055,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X8 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | (((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1054])).
% 16.33/3.97 thf(f1054,plain,(
% 16.33/3.97 ( ! [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 @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | (((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1053])).
% 16.33/3.97 thf(f1053,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((old @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | (((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))) = $false) | ((dirty @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1052])).
% 16.33/3.97 thf(f1052,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | (((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1051])).
% 16.33/3.97 thf(f1051,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((dirty @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((lonely @ X6 @ mactual) = $false) | (((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(not_proxy_clausification,[status(thm)],[f1050])).
% 16.33/3.97 thf(f1050,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((chevy @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((~ (qmltpeq @ X7 @ X8 @ mactual)) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | (((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1049])).
% 16.33/3.97 thf(f1049,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((street @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | (((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))) = $false) | ((city @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1048])).
% 16.33/3.97 thf(f1048,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((old @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | (((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1047])).
% 16.33/3.97 thf(f1047,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((barrel @ X4 @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1046])).
% 16.33/3.97 thf(f1046,plain,(
% 16.33/3.97 ( ! [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) | ((furniture @ X2 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | (((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))) = $false) | ((front @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((way @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1045])).
% 16.33/3.97 thf(f1045,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((old @ X5 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((street @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | (((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1044])).
% 16.33/3.97 thf(f1044,plain,(
% 16.33/3.97 ( ! [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) | ((dirty @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | (((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((street @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1043])).
% 16.33/3.97 thf(f1043,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((furniture @ X2 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | (((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((old @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1042])).
% 16.33/3.97 thf(f1042,plain,(
% 16.33/3.97 ( ! [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) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | (((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1041])).
% 16.33/3.97 thf(f1041,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((event @ X4 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | (((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((car @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1040])).
% 16.33/3.97 thf(f1040,plain,(
% 16.33/3.97 ( ! [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) | ((furniture @ X1 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | (((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1039])).
% 16.33/3.97 thf(f1039,plain,(
% 16.33/3.97 ( ! [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 @ X10 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | (((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1038])).
% 16.33/3.97 thf(f1038,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((front @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | (((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1037])).
% 16.33/3.97 thf(f1037,plain,(
% 16.33/3.97 ( ! [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) | ((city @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | (((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1036])).
% 16.33/3.97 thf(f1036,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | (((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1035])).
% 16.33/3.97 thf(f1035,plain,(
% 16.33/3.97 ( ! [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 @ X10 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | (((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1034])).
% 16.33/3.97 thf(f1034,plain,(
% 16.33/3.97 ( ! [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 @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))))) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1033])).
% 16.33/3.97 thf(f1033,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))))))) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1032])).
% 16.33/3.97 thf(f1032,plain,(
% 16.33/3.97 ( ! [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 @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))))))) = $false) | ((front @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1031])).
% 16.33/3.97 thf(f1031,plain,(
% 16.33/3.97 ( ! [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) | ((eiw_di @ X4 @ mactual) = $false) | (((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1030])).
% 16.33/3.97 thf(f1030,plain,(
% 16.33/3.97 ( ! [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) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1029])).
% 16.33/3.97 thf(f1029,plain,(
% 16.33/3.97 ( ! [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 @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | (((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))))))))))) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1028])).
% 16.33/3.97 thf(f1028,plain,(
% 16.33/3.97 ( ! [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) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | (((eiw_di @ X10 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1027])).
% 16.33/3.97 thf(f1027,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual))))))))))))))))))))))))))))))))) @ X10) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f1026])).
% 16.33/3.97 thf(f1026,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual)))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1025])).
% 16.33/3.97 thf(f1025,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | (((eiw_di @ X9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1024])).
% 16.33/3.97 thf(f1024,plain,(
% 16.33/3.97 ( ! [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 @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual)))))))))))))))))))))))))))))))))))) @ X9) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f1023])).
% 16.33/3.97 thf(f1023,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1022])).
% 16.33/3.97 thf(f1022,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | (((eiw_di @ X8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1021])).
% 16.33/3.97 thf(f1021,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ Y0 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ X7 @ Y1 @ mactual) & ((in @ Y1 @ X1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))) @ X8) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f1020])).
% 16.33/3.97 thf(f1020,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ Y0 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ X7 @ Y1 @ mactual) & ((in @ Y1 @ X1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1019])).
% 16.33/3.97 thf(f1019,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ 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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ Y0 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ X7 @ Y1 @ mactual) & ((in @ Y1 @ X1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1018])).
% 16.33/3.97 thf(f1018,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ 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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ X1 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))) @ X7) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f1017])).
% 16.33/3.97 thf(f1017,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ X1 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1016])).
% 16.33/3.97 thf(f1016,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ 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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ X6 @ mactual) & ((way @ X6 @ mactual) & ((lonely @ X6 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ X6 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ X1 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1015])).
% 16.33/3.97 thf(f1015,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ 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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ Y0 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ X1 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))) @ X6) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f1014])).
% 16.33/3.97 thf(f1014,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ Y0 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ X1 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1013])).
% 16.33/3.97 thf(f1013,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ 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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ X5 @ mactual) & ((car @ X5 @ mactual) & ((white @ X5 @ mactual) & ((dirty @ X5 @ mactual) & ((old @ X5 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ X4 @ X5 @ mactual) & ((down @ X4 @ Y0 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ X1 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1012])).
% 16.33/3.97 thf(f1012,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $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) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ X1 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) @ X5) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f1011])).
% 16.33/3.97 thf(f1011,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ X1 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1010])).
% 16.33/3.97 thf(f1010,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ Y1 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ X1 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1009])).
% 16.33/3.97 thf(f1009,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((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) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ X3 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ X1 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) @ X4) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f1008])).
% 16.33/3.97 thf(f1008,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ X3 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ X1 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1007])).
% 16.33/3.97 thf(f1007,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ X3 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ X1 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1006])).
% 16.33/3.97 thf(f1006,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X2 @ 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) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & (?? @ $i @ (^[Y7 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ X1 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X3) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f1005])).
% 16.33/3.97 thf(f1005,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ X1 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f1004])).
% 16.33/3.97 thf(f1004,plain,(
% 16.33/3.97 ( ! [X2 : $i,X1 : $i] : ((((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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ X1 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f1003])).
% 16.33/3.97 thf(f1003,plain,(
% 16.33/3.97 ( ! [X2 : $i,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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ X1 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X2) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f825])).
% 16.33/3.97 thf(f825,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ X1 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f824])).
% 16.33/3.97 thf(f824,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ X1 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f823])).
% 16.33/3.97 thf(f823,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X1) = $false)) ) | ~spl0_1),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f221])).
% 16.33/3.97 thf(f221,plain,(
% 16.33/3.97 ((?? @ $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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_1),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f219])).
% 16.33/3.97 thf(f1002,plain,(
% 16.33/3.97 spl0_2 | ~spl0_12),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f1001])).
% 16.33/3.97 thf(f1001,plain,(
% 16.33/3.97 $false | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f1000])).
% 16.33/3.97 thf(f1000,plain,(
% 16.33/3.97 ($true = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(backward_demodulation,[status(thm)],[f867,f999])).
% 16.33/3.97 thf(f999,plain,(
% 16.33/3.97 ((seat @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f998])).
% 16.33/3.97 thf(f998,plain,(
% 16.33/3.97 ((seat @ sK12 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f997,f871])).
% 16.33/3.97 thf(f871,plain,(
% 16.33/3.97 ($true = (front @ sK12 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f868])).
% 16.33/3.97 thf(f997,plain,(
% 16.33/3.97 ((seat @ sK12 @ mactual) = $false) | ((front @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f996])).
% 16.33/3.97 thf(f996,plain,(
% 16.33/3.97 ($true = $false) | ((front @ sK12 @ mactual) = $false) | ((seat @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f995,f869])).
% 16.33/3.97 thf(f869,plain,(
% 16.33/3.97 ($true = (furniture @ sK12 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f866])).
% 16.33/3.97 thf(f995,plain,(
% 16.33/3.97 ((furniture @ sK12 @ mactual) = $false) | ((seat @ sK12 @ mactual) = $false) | ((front @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f994])).
% 16.33/3.97 thf(f994,plain,(
% 16.33/3.97 ((seat @ sK12 @ mactual) = $false) | ($true = $false) | ((front @ sK12 @ mactual) = $false) | ((furniture @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f993,f829])).
% 16.33/3.97 thf(f829,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK12 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f827])).
% 16.33/3.97 thf(f993,plain,(
% 16.33/3.97 ((eiw_di @ sK12 @ mactual) = $false) | ((seat @ sK12 @ mactual) = $false) | ((front @ sK12 @ mactual) = $false) | ((furniture @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f991])).
% 16.33/3.97 thf(f991,plain,(
% 16.33/3.97 ((front @ sK12 @ mactual) = $false) | ((furniture @ sK12 @ mactual) = $false) | ($true = $false) | ((seat @ sK12 @ mactual) = $false) | ((eiw_di @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(superposition,[status(thm)],[f923,f989])).
% 16.33/3.97 thf(f989,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((in @ sK20 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f988])).
% 16.33/3.97 thf(f988,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (($true = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((in @ sK20 @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f987,f861])).
% 16.33/3.97 thf(f861,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK20 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f859])).
% 16.33/3.97 thf(f987,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((seat @ X0 @ mactual) = $false) | ((eiw_di @ sK20 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ sK20 @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f980])).
% 16.33/3.97 thf(f980,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((in @ sK20 @ X0 @ mactual) = $false) | ($true = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ sK20 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_12)),
% 16.33/3.97 inference(superposition,[status(thm)],[f921,f658])).
% 16.33/3.97 thf(f658,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_12),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f657])).
% 16.33/3.97 thf(f657,definition,(
% 16.33/3.97 spl0_12 <=> ! [X0 : $i,X1 : $i] : (((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 16.33/3.97 thf(f921,plain,(
% 16.33/3.97 ($true = (qmltpeq @ sK18 @ sK20 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f918])).
% 16.33/3.97 thf(f918,plain,(
% 16.33/3.97 ($true = ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f916])).
% 16.33/3.97 thf(f916,plain,(
% 16.33/3.97 ($true = ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f914])).
% 16.33/3.97 thf(f914,plain,(
% 16.33/3.97 ($true = ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f912])).
% 16.33/3.97 thf(f912,plain,(
% 16.33/3.97 ($true = ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f910])).
% 16.33/3.97 thf(f910,plain,(
% 16.33/3.97 ($true = ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f908])).
% 16.33/3.97 thf(f908,plain,(
% 16.33/3.97 ($true = ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f906])).
% 16.33/3.97 thf(f906,plain,(
% 16.33/3.97 ($true = ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f904])).
% 16.33/3.97 thf(f904,plain,(
% 16.33/3.97 ($true = ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f902])).
% 16.33/3.97 thf(f923,plain,(
% 16.33/3.97 ($true = (in @ sK20 @ sK12 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f920])).
% 16.33/3.97 thf(f920,plain,(
% 16.33/3.97 ($true = ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f918])).
% 16.33/3.97 thf(f867,plain,(
% 16.33/3.97 ($true = (seat @ sK12 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f864])).
% 16.33/3.97 thf(f977,plain,(
% 16.33/3.97 spl0_12 | spl0_11 | spl0_2 | ~spl0_5),
% 16.33/3.97 inference(avatar_split_clause,[status(thm)],[f976,f403,f223,f654,f657])).
% 16.33/3.97 thf(f654,definition,(
% 16.33/3.97 spl0_11 <=> ! [X2 : $i,X3 : $i] : (((furniture @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 16.33/3.97 thf(f976,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((seat @ X3 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f975])).
% 16.33/3.97 thf(f975,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($true = $false) | ((furniture @ X3 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f974,f911])).
% 16.33/3.97 thf(f911,plain,(
% 16.33/3.97 ($true = (man @ sK18 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f908])).
% 16.33/3.97 thf(f974,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((man @ sK18 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f973])).
% 16.33/3.97 thf(f973,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f972,f919])).
% 16.33/3.97 thf(f919,plain,(
% 16.33/3.97 ($true = (young @ sK19 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f916])).
% 16.33/3.97 thf(f972,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((front @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f971])).
% 16.33/3.97 thf(f971,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f970,f913])).
% 16.33/3.97 thf(f913,plain,(
% 16.33/3.97 ($true = (young @ sK18 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f910])).
% 16.33/3.97 thf(f970,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f969])).
% 16.33/3.97 thf(f969,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ($true = $false) | ((front @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f968,f857])).
% 16.33/3.97 thf(f857,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK19 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f855])).
% 16.33/3.97 thf(f968,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ X3 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f967])).
% 16.33/3.97 thf(f967,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($true = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f966,f909])).
% 16.33/3.97 thf(f909,plain,(
% 16.33/3.97 ($true = (fellow @ sK18 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f906])).
% 16.33/3.97 thf(f966,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f965])).
% 16.33/3.97 thf(f965,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ($true = $false) | ((young @ sK18 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f964,f853])).
% 16.33/3.97 thf(f853,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK18 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f851])).
% 16.33/3.97 thf(f964,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((eiw_di @ sK18 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f963])).
% 16.33/3.97 thf(f963,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((front @ X3 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ($true = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ sK18 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f962,f917])).
% 16.33/3.97 thf(f917,plain,(
% 16.33/3.97 ($true = (man @ sK19 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f914])).
% 16.33/3.97 thf(f962,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ sK18 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f961])).
% 16.33/3.97 thf(f961,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ sK18 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($true = $false) | ((front @ X3 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f935,f915])).
% 16.33/3.97 thf(f915,plain,(
% 16.33/3.97 ($true = (fellow @ sK19 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f912])).
% 16.33/3.97 thf(f935,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X0 @ X1 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((eiw_di @ sK18 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f934])).
% 16.33/3.97 thf(f934,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ sK19 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ sK18 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ($true = $false) | ((qmltpeq @ sK18 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((young @ sK18 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.33/3.97 inference(superposition,[status(thm)],[f404,f926])).
% 16.33/3.97 thf(f926,plain,(
% 16.33/3.97 ((qmltpeq @ sK18 @ sK19 @ mactual) = $false) | spl0_2),
% 16.33/3.97 inference(not_proxy_clausification,[status(thm)],[f907])).
% 16.33/3.97 thf(f907,plain,(
% 16.33/3.97 ($true = (~ (qmltpeq @ sK18 @ sK19 @ mactual))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f904])).
% 16.33/3.97 thf(f404,plain,(
% 16.33/3.97 ( ! [X2 : $i,X10 : $i,X1 : $i,X8 : $i,X9 : $i,X7 : $i] : (($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((man @ X7 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((qmltpeq @ X8 @ X10 @ mactual) = $false) | ((in @ X10 @ X2 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((young @ X8 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false)) ) | ~spl0_5),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f403])).
% 16.33/3.97 thf(f960,plain,(
% 16.33/3.97 spl0_2 | ~spl0_11),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f959])).
% 16.33/3.97 thf(f959,plain,(
% 16.33/3.97 $false | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f958])).
% 16.33/3.97 thf(f958,plain,(
% 16.33/3.97 ($true = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(backward_demodulation,[status(thm)],[f873,f957])).
% 16.33/3.97 thf(f957,plain,(
% 16.33/3.97 ((seat @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f956])).
% 16.33/3.97 thf(f956,plain,(
% 16.33/3.97 ((seat @ sK13 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f955,f875])).
% 16.33/3.97 thf(f875,plain,(
% 16.33/3.97 ($true = (furniture @ sK13 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f872])).
% 16.33/3.97 thf(f955,plain,(
% 16.33/3.97 ((furniture @ sK13 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f954])).
% 16.33/3.97 thf(f954,plain,(
% 16.33/3.97 ((furniture @ sK13 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f953,f877])).
% 16.33/3.97 thf(f877,plain,(
% 16.33/3.97 ($true = (front @ sK13 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f874])).
% 16.33/3.97 thf(f953,plain,(
% 16.33/3.97 ((front @ sK13 @ mactual) = $false) | ((furniture @ sK13 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f952])).
% 16.33/3.97 thf(f952,plain,(
% 16.33/3.97 ((furniture @ sK13 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ((front @ sK13 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f951,f833])).
% 16.33/3.97 thf(f833,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK13 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f831])).
% 16.33/3.97 thf(f951,plain,(
% 16.33/3.97 ((eiw_di @ sK13 @ mactual) = $false) | ((front @ sK13 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ((furniture @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f949])).
% 16.33/3.97 thf(f949,plain,(
% 16.33/3.97 ((seat @ sK13 @ mactual) = $false) | ((front @ sK13 @ mactual) = $false) | ($true = $false) | ((furniture @ sK13 @ mactual) = $false) | ((eiw_di @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(superposition,[status(thm)],[f924,f942])).
% 16.33/3.97 thf(f942,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((in @ sK21 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f941])).
% 16.33/3.97 thf(f941,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((in @ sK21 @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f940,f865])).
% 16.33/3.97 thf(f865,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK21 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f863])).
% 16.33/3.97 thf(f940,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((front @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK21 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ sK21 @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f937])).
% 16.33/3.97 thf(f937,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((eiw_di @ sK21 @ mactual) = $false) | ($true = $false) | ((in @ sK21 @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_11)),
% 16.33/3.97 inference(superposition,[status(thm)],[f925,f655])).
% 16.33/3.97 thf(f655,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i] : (((qmltpeq @ sK19 @ X2 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false)) ) | ~spl0_11),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f654])).
% 16.33/3.97 thf(f925,plain,(
% 16.33/3.97 ($true = (qmltpeq @ sK19 @ sK21 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f922])).
% 16.33/3.97 thf(f922,plain,(
% 16.33/3.97 ($true = ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f920])).
% 16.33/3.97 thf(f924,plain,(
% 16.33/3.97 ($true = (in @ sK21 @ sK13 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f922])).
% 16.33/3.97 thf(f873,plain,(
% 16.33/3.97 ($true = (seat @ sK13 @ mactual)) | spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f870])).
% 16.33/3.97 thf(f821,plain,(
% 16.33/3.97 spl0_1 | ~spl0_8),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f820])).
% 16.33/3.97 thf(f820,plain,(
% 16.33/3.97 $false | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f819])).
% 16.33/3.97 thf(f819,plain,(
% 16.33/3.97 ($true = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(backward_demodulation,[status(thm)],[f734,f818])).
% 16.33/3.97 thf(f818,plain,(
% 16.33/3.97 ((seat @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f817])).
% 16.33/3.97 thf(f817,plain,(
% 16.33/3.97 ((seat @ sK3 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f816,f738])).
% 16.33/3.97 thf(f738,plain,(
% 16.33/3.97 ($true = (front @ sK3 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f735])).
% 16.33/3.97 thf(f735,plain,(
% 16.33/3.97 ($true = ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f733])).
% 16.33/3.97 thf(f733,plain,(
% 16.33/3.97 ($true = ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f731])).
% 16.33/3.97 thf(f731,plain,(
% 16.33/3.97 ($true = ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f729])).
% 16.33/3.97 thf(f729,plain,(
% 16.33/3.97 ($true = ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f727])).
% 16.33/3.97 thf(f727,plain,(
% 16.33/3.97 ($true = ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f725])).
% 16.33/3.97 thf(f725,plain,(
% 16.33/3.97 ($true = ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f724])).
% 16.33/3.97 thf(f724,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK11 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f723])).
% 16.33/3.97 thf(f723,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))))) @ sK11)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f715])).
% 16.33/3.97 thf(f715,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f714])).
% 16.33/3.97 thf(f714,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK10 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f713])).
% 16.33/3.97 thf(f713,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))) @ sK10)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f711])).
% 16.33/3.97 thf(f711,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f710])).
% 16.33/3.97 thf(f710,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f709])).
% 16.33/3.97 thf(f709,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))) @ sK9)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f707])).
% 16.33/3.97 thf(f707,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f706])).
% 16.33/3.97 thf(f706,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f705])).
% 16.33/3.97 thf(f705,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))) @ sK8)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f703])).
% 16.33/3.97 thf(f703,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f702])).
% 16.33/3.97 thf(f702,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f701])).
% 16.33/3.97 thf(f701,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))) @ sK7)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f699])).
% 16.33/3.97 thf(f699,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f698])).
% 16.33/3.97 thf(f698,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f697])).
% 16.33/3.97 thf(f697,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) @ sK6)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f695])).
% 16.33/3.97 thf(f695,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f694])).
% 16.33/3.97 thf(f694,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f693])).
% 16.33/3.97 thf(f693,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK5)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f691])).
% 16.33/3.97 thf(f691,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f690])).
% 16.33/3.97 thf(f690,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f689])).
% 16.33/3.97 thf(f689,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK4)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f687])).
% 16.33/3.97 thf(f687,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f686])).
% 16.33/3.97 thf(f686,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f685])).
% 16.33/3.97 thf(f685,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK3)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f683])).
% 16.33/3.97 thf(f683,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f682])).
% 16.33/3.97 thf(f682,plain,(
% 16.33/3.97 ($true = ((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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f681])).
% 16.33/3.97 thf(f681,plain,(
% 16.33/3.97 ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK2)) | spl0_1),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f220])).
% 16.33/3.97 thf(f816,plain,(
% 16.33/3.97 ((seat @ sK3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f815])).
% 16.33/3.97 thf(f815,plain,(
% 16.33/3.97 ($true = $false) | ((seat @ sK3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f814,f736])).
% 16.33/3.97 thf(f736,plain,(
% 16.33/3.97 ($true = (furniture @ sK3 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f733])).
% 16.33/3.97 thf(f814,plain,(
% 16.33/3.97 ((furniture @ sK3 @ mactual) = $false) | ((seat @ sK3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f813])).
% 16.33/3.97 thf(f813,plain,(
% 16.33/3.97 ($true = $false) | ((seat @ sK3 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f812,f688])).
% 16.33/3.97 thf(f688,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK3 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f686])).
% 16.33/3.97 thf(f812,plain,(
% 16.33/3.97 ((eiw_di @ sK3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | ((seat @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f810])).
% 16.33/3.97 thf(f810,plain,(
% 16.33/3.97 ((eiw_di @ sK3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | ($true = $false) | ((seat @ sK3 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(superposition,[status(thm)],[f785,f803])).
% 16.33/3.97 thf(f803,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((in @ sK11 @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f802])).
% 16.33/3.97 thf(f802,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((in @ sK11 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ($true = $false) | ((furniture @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f801,f726])).
% 16.33/3.97 thf(f726,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK11 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f724])).
% 16.33/3.97 thf(f801,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((front @ X0 @ mactual) = $false) | ((in @ sK11 @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK11 @ mactual) = $false)) ) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f798])).
% 16.33/3.97 thf(f798,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((eiw_di @ sK11 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ sK11 @ X0 @ mactual) = $false) | ($true = $false) | ((furniture @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_8)),
% 16.33/3.97 inference(superposition,[status(thm)],[f786,f438])).
% 16.33/3.97 thf(f438,plain,(
% 16.33/3.97 ( ! [X2 : $i,X1 : $i] : (((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_8),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f437])).
% 16.33/3.97 thf(f437,definition,(
% 16.33/3.97 spl0_8 <=> ! [X2 : $i,X1 : $i] : (((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 16.33/3.97 thf(f786,plain,(
% 16.33/3.97 ($true = (qmltpeq @ sK9 @ sK11 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f783])).
% 16.33/3.97 thf(f783,plain,(
% 16.33/3.97 ($true = ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f781])).
% 16.33/3.97 thf(f781,plain,(
% 16.33/3.97 ($true = ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f779])).
% 16.33/3.97 thf(f779,plain,(
% 16.33/3.97 ($true = ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f777])).
% 16.33/3.97 thf(f777,plain,(
% 16.33/3.97 ($true = ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f775])).
% 16.33/3.97 thf(f775,plain,(
% 16.33/3.97 ($true = ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f773])).
% 16.33/3.97 thf(f773,plain,(
% 16.33/3.97 ($true = ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f771])).
% 16.33/3.97 thf(f771,plain,(
% 16.33/3.97 ($true = ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f769])).
% 16.33/3.97 thf(f769,plain,(
% 16.33/3.97 ($true = ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f767])).
% 16.33/3.97 thf(f767,plain,(
% 16.33/3.97 ($true = ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f765])).
% 16.33/3.97 thf(f765,plain,(
% 16.33/3.97 ($true = ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f763])).
% 16.33/3.97 thf(f763,plain,(
% 16.33/3.97 ($true = ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f761])).
% 16.33/3.97 thf(f761,plain,(
% 16.33/3.97 ($true = ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f759])).
% 16.33/3.97 thf(f759,plain,(
% 16.33/3.97 ($true = ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f757])).
% 16.33/3.97 thf(f757,plain,(
% 16.33/3.97 ($true = ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f755])).
% 16.33/3.97 thf(f755,plain,(
% 16.33/3.97 ($true = ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f753])).
% 16.33/3.97 thf(f753,plain,(
% 16.33/3.97 ($true = ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f751])).
% 16.33/3.97 thf(f751,plain,(
% 16.33/3.97 ($true = ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f749])).
% 16.33/3.97 thf(f749,plain,(
% 16.33/3.97 ($true = ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f747])).
% 16.33/3.97 thf(f747,plain,(
% 16.33/3.97 ($true = ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f745])).
% 16.33/3.97 thf(f745,plain,(
% 16.33/3.97 ($true = ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f743])).
% 16.33/3.97 thf(f743,plain,(
% 16.33/3.97 ($true = ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f741])).
% 16.33/3.97 thf(f741,plain,(
% 16.33/3.97 ($true = ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f739])).
% 16.33/3.97 thf(f739,plain,(
% 16.33/3.97 ($true = ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f737])).
% 16.33/3.97 thf(f737,plain,(
% 16.33/3.97 ($true = ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f735])).
% 16.33/3.97 thf(f785,plain,(
% 16.33/3.97 ($true = (in @ sK11 @ sK3 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f783])).
% 16.33/3.97 thf(f734,plain,(
% 16.33/3.97 ($true = (seat @ sK3 @ mactual)) | spl0_1),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f731])).
% 16.33/3.97 thf(f680,plain,(
% 16.33/3.97 ~spl0_1 | ~spl0_4),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f679])).
% 16.33/3.97 thf(f679,plain,(
% 16.33/3.97 $false | (~spl0_1 | ~spl0_4)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f678])).
% 16.33/3.97 thf(f678,plain,(
% 16.33/3.97 ($true = $false) | (~spl0_1 | ~spl0_4)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f237,f221])).
% 16.33/3.97 thf(f237,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y9 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f235])).
% 16.33/3.97 thf(f235,definition,(
% 16.33/3.97 spl0_4 <=> ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 16.33/3.97 thf(f514,plain,(
% 16.33/3.97 ~spl0_2 | ~spl0_3),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f513])).
% 16.33/3.97 thf(f513,plain,(
% 16.33/3.97 $false | (~spl0_2 | ~spl0_3)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f512])).
% 16.33/3.97 thf(f512,plain,(
% 16.33/3.97 ($true = $false) | (~spl0_2 | ~spl0_3)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f230,f225])).
% 16.33/3.97 thf(f225,plain,(
% 16.33/3.97 ((?? @ $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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ~spl0_2),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f223])).
% 16.33/3.97 thf(f230,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y9 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_3),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f228])).
% 16.33/3.97 thf(f228,definition,(
% 16.33/3.97 spl0_3 <=> ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 16.33/3.97 thf(f511,plain,(
% 16.33/3.97 ~spl0_4 | ~spl0_7),
% 16.33/3.97 inference(avatar_contradiction_clause,[status(thm)],[f510])).
% 16.33/3.97 thf(f510,plain,(
% 16.33/3.97 $false | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f509])).
% 16.33/3.97 thf(f509,plain,(
% 16.33/3.97 ($true = $false) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(backward_demodulation,[status(thm)],[f287,f508])).
% 16.33/3.97 thf(f508,plain,(
% 16.33/3.97 ((seat @ sK2 @ mactual) = $false) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f507])).
% 16.33/3.97 thf(f507,plain,(
% 16.33/3.97 ($true = $false) | ((seat @ sK2 @ mactual) = $false) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f506,f291])).
% 16.33/3.97 thf(f291,plain,(
% 16.33/3.97 ($true = (front @ sK2 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f288])).
% 16.33/3.97 thf(f288,plain,(
% 16.33/3.97 ($true = ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f286])).
% 16.33/3.97 thf(f286,plain,(
% 16.33/3.97 ($true = ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f284])).
% 16.33/3.97 thf(f284,plain,(
% 16.33/3.97 ($true = ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f283])).
% 16.33/3.97 thf(f283,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK11 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f282])).
% 16.33/3.97 thf(f282,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))))) @ sK11)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f280])).
% 16.33/3.97 thf(f280,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f279])).
% 16.33/3.97 thf(f279,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK10 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f278])).
% 16.33/3.97 thf(f278,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))) @ sK10)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f276])).
% 16.33/3.97 thf(f276,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f275])).
% 16.33/3.97 thf(f275,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f274])).
% 16.33/3.97 thf(f274,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))) @ sK9)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f272])).
% 16.33/3.97 thf(f272,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f271])).
% 16.33/3.97 thf(f271,plain,(
% 16.33/3.97 ($true = ((eiw_di @ sK8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f270])).
% 16.33/3.97 thf(f270,plain,(
% 16.33/3.97 ($true = ((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))) @ sK8)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f268])).
% 16.33/3.97 thf(f268,plain,(
% 16.33/3.97 ($true = (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ mactual) & (?? @ $i @ (^[Y3 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f267])).
% 16.33/3.97 thf(f267,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y3 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f266])).
% 16.33/3.97 thf(f266,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))) @ sK7)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f264])).
% 16.33/3.97 thf(f264,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f263])).
% 16.33/3.97 thf(f263,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y4 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f262])).
% 16.33/3.97 thf(f262,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) @ sK6)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f260])).
% 16.33/3.97 thf(f260,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f259])).
% 16.33/3.97 thf(f259,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f258])).
% 16.33/3.97 thf(f258,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK5)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f256])).
% 16.33/3.97 thf(f256,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f255])).
% 16.33/3.97 thf(f255,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f254])).
% 16.33/3.97 thf(f254,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK4)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f252])).
% 16.33/3.97 thf(f252,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f251])).
% 16.33/3.97 thf(f251,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y7 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f250])).
% 16.33/3.97 thf(f250,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK3)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f248])).
% 16.33/3.97 thf(f248,plain,(
% 16.33/3.97 ($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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f247])).
% 16.33/3.97 thf(f247,plain,(
% 16.33/3.97 ($true = ((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 : $i]: ((eiw_di @ Y8 @ mactual) & ((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((barrel @ Y2 @ Y3 @ mactual) & ((down @ Y2 @ Y4 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ sK2 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f246])).
% 16.33/3.97 thf(f246,plain,(
% 16.33/3.97 ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ sK2)) | ~spl0_4),
% 16.33/3.97 inference(sigma_clausification,[status(thm)],[f237])).
% 16.33/3.97 thf(f506,plain,(
% 16.33/3.97 ((front @ sK2 @ mactual) = $false) | ((seat @ sK2 @ mactual) = $false) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f505])).
% 16.33/3.97 thf(f505,plain,(
% 16.33/3.97 ($true = $false) | ((front @ sK2 @ mactual) = $false) | ((seat @ sK2 @ mactual) = $false) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f504,f249])).
% 16.33/3.97 thf(f249,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK2 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f247])).
% 16.33/3.97 thf(f504,plain,(
% 16.33/3.97 ($false = (eiw_di @ sK2 @ mactual)) | ((seat @ sK2 @ mactual) = $false) | ((front @ sK2 @ mactual) = $false) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f503])).
% 16.33/3.97 thf(f503,plain,(
% 16.33/3.97 ((front @ sK2 @ mactual) = $false) | ($true = $false) | ((seat @ sK2 @ mactual) = $false) | ($false = (eiw_di @ sK2 @ mactual)) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f502,f289])).
% 16.33/3.97 thf(f289,plain,(
% 16.33/3.97 ($true = (furniture @ sK2 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f286])).
% 16.33/3.97 thf(f502,plain,(
% 16.33/3.97 ((furniture @ sK2 @ mactual) = $false) | ($false = (eiw_di @ sK2 @ mactual)) | ((seat @ sK2 @ mactual) = $false) | ((front @ sK2 @ mactual) = $false) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f500])).
% 16.33/3.97 thf(f500,plain,(
% 16.33/3.97 ((front @ sK2 @ mactual) = $false) | ((furniture @ sK2 @ mactual) = $false) | ($true = $false) | ($false = (eiw_di @ sK2 @ mactual)) | ((seat @ sK2 @ mactual) = $false) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(superposition,[status(thm)],[f344,f498])).
% 16.33/3.97 thf(f498,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((in @ sK10 @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f497])).
% 16.33/3.97 thf(f497,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((in @ sK10 @ X0 @ mactual) = $false) | ($true = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f496,f281])).
% 16.33/3.97 thf(f281,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK10 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f279])).
% 16.33/3.97 thf(f496,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK10 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((in @ sK10 @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f494])).
% 16.33/3.97 thf(f494,plain,(
% 16.33/3.97 ( ! [X0 : $i] : (((eiw_di @ sK10 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ sK10 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ($true = $false)) ) | (~spl0_4 | ~spl0_7)),
% 16.33/3.97 inference(superposition,[status(thm)],[f342,f435])).
% 16.33/3.97 thf(f435,plain,(
% 16.33/3.97 ( ! [X3 : $i,X0 : $i] : (((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false)) ) | ~spl0_7),
% 16.33/3.97 inference(avatar_component_clause,[status(thm)],[f434])).
% 16.33/3.97 thf(f434,definition,(
% 16.33/3.97 spl0_7 <=> ! [X0 : $i,X3 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false))),
% 16.33/3.97 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 16.33/3.97 thf(f342,plain,(
% 16.33/3.97 ($true = (qmltpeq @ sK8 @ sK10 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f339])).
% 16.33/3.97 thf(f339,plain,(
% 16.33/3.97 ($true = ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f337])).
% 16.33/3.97 thf(f337,plain,(
% 16.33/3.97 ($true = ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f335])).
% 16.33/3.97 thf(f335,plain,(
% 16.33/3.97 ($true = ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f333])).
% 16.33/3.97 thf(f333,plain,(
% 16.33/3.97 ($true = ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f331])).
% 16.33/3.97 thf(f331,plain,(
% 16.33/3.97 ($true = ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f329])).
% 16.33/3.97 thf(f329,plain,(
% 16.33/3.97 ($true = ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f326])).
% 16.33/3.97 thf(f326,plain,(
% 16.33/3.97 ($true = ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f324])).
% 16.33/3.97 thf(f324,plain,(
% 16.33/3.97 ($true = ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f322])).
% 16.33/3.97 thf(f322,plain,(
% 16.33/3.97 ($true = ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f320])).
% 16.33/3.97 thf(f320,plain,(
% 16.33/3.97 ($true = ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f318])).
% 16.33/3.97 thf(f318,plain,(
% 16.33/3.97 ($true = ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f316])).
% 16.33/3.97 thf(f316,plain,(
% 16.33/3.97 ($true = ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f314])).
% 16.33/3.97 thf(f314,plain,(
% 16.33/3.97 ($true = ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f312])).
% 16.33/3.97 thf(f312,plain,(
% 16.33/3.97 ($true = ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f310])).
% 16.33/3.97 thf(f310,plain,(
% 16.33/3.97 ($true = ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f308])).
% 16.33/3.97 thf(f308,plain,(
% 16.33/3.97 ($true = ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f306])).
% 16.33/3.97 thf(f306,plain,(
% 16.33/3.97 ($true = ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f304])).
% 16.33/3.97 thf(f304,plain,(
% 16.33/3.97 ($true = ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f302])).
% 16.33/3.97 thf(f302,plain,(
% 16.33/3.97 ($true = ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f300])).
% 16.33/3.97 thf(f300,plain,(
% 16.33/3.97 ($true = ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f298])).
% 16.33/3.97 thf(f298,plain,(
% 16.33/3.97 ($true = ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f296])).
% 16.33/3.97 thf(f296,plain,(
% 16.33/3.97 ($true = ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f294])).
% 16.33/3.97 thf(f294,plain,(
% 16.33/3.97 ($true = ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f292])).
% 16.33/3.97 thf(f292,plain,(
% 16.33/3.97 ($true = ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f290])).
% 16.33/3.97 thf(f290,plain,(
% 16.33/3.97 ($true = ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f288])).
% 16.33/3.97 thf(f344,plain,(
% 16.33/3.97 ($true = (in @ sK10 @ sK2 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f341])).
% 16.33/3.97 thf(f341,plain,(
% 16.33/3.97 ($true = ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f339])).
% 16.33/3.97 thf(f287,plain,(
% 16.33/3.97 ($true = (seat @ sK2 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f284])).
% 16.33/3.97 thf(f492,plain,(
% 16.33/3.97 spl0_10 | spl0_9 | ~spl0_4 | ~spl0_6),
% 16.33/3.97 inference(avatar_split_clause,[status(thm)],[f491,f406,f235,f474,f477])).
% 16.33/3.97 thf(f491,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((city @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f490])).
% 16.33/3.97 thf(f490,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((dirty @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ($true = $false) | ((old @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f489,f319])).
% 16.33/3.97 thf(f319,plain,(
% 16.33/3.97 ($true = (lonely @ sK7 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f316])).
% 16.33/3.97 thf(f489,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f488])).
% 16.33/3.97 thf(f488,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f487,f269])).
% 16.33/3.97 thf(f269,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK7 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f267])).
% 16.33/3.97 thf(f487,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((barrel @ sK5 @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f486])).
% 16.33/3.97 thf(f486,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((lonely @ sK7 @ mactual) = $false) | ($true = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f485,f303])).
% 16.33/3.97 thf(f303,plain,(
% 16.33/3.97 ($true = (event @ sK5 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f300])).
% 16.33/3.97 thf(f485,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((hollywood @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f484])).
% 16.33/3.97 thf(f484,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f483,f315])).
% 16.33/3.97 thf(f315,plain,(
% 16.33/3.97 ($true = (street @ sK7 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f312])).
% 16.33/3.97 thf(f483,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((street @ sK7 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f482])).
% 16.33/3.97 thf(f482,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((hollywood @ X1 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ($true = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f481,f317])).
% 16.33/3.97 thf(f317,plain,(
% 16.33/3.97 ($true = (way @ sK7 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f314])).
% 16.33/3.97 thf(f481,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((hollywood @ X1 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f480])).
% 16.33/3.97 thf(f480,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((way @ sK7 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((lonely @ sK7 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f459,f261])).
% 16.33/3.97 thf(f261,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK5 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f259])).
% 16.33/3.97 thf(f459,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((dirty @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ sK5 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((old @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f457])).
% 16.33/3.97 thf(f457,plain,(
% 16.33/3.97 ( ! [X0 : $i,X1 : $i] : (((in @ sK5 @ X1 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((eiw_di @ sK5 @ mactual) = $false) | ((old @ X0 @ mactual) = $false) | ((city @ X1 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_6)),
% 16.33/3.97 inference(superposition,[status(thm)],[f407,f323])).
% 16.33/3.97 thf(f323,plain,(
% 16.33/3.97 ($true = (down @ sK5 @ sK7 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f320])).
% 16.33/3.97 thf(f456,plain,(
% 16.33/3.97 spl0_8 | spl0_7 | ~spl0_4 | ~spl0_5),
% 16.33/3.97 inference(avatar_split_clause,[status(thm)],[f455,f403,f235,f434,f437])).
% 16.33/3.97 thf(f455,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f454])).
% 16.33/3.97 thf(f454,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ($true = $false) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f453,f340])).
% 16.33/3.97 thf(f340,plain,(
% 16.33/3.97 ($true = (young @ sK9 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f337])).
% 16.33/3.97 thf(f453,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X3 @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f452])).
% 16.33/3.97 thf(f452,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f451,f334])).
% 16.33/3.97 thf(f334,plain,(
% 16.33/3.97 ($true = (young @ sK8 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f331])).
% 16.33/3.97 thf(f451,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((front @ X0 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f450])).
% 16.33/3.97 thf(f450,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($true = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f449,f330])).
% 16.33/3.97 thf(f330,plain,(
% 16.33/3.97 ($true = (fellow @ sK8 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f326])).
% 16.33/3.97 thf(f449,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f448])).
% 16.33/3.97 thf(f448,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f447,f332])).
% 16.33/3.97 thf(f332,plain,(
% 16.33/3.97 ($true = (man @ sK8 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f329])).
% 16.33/3.97 thf(f447,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X3 @ X0 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f446])).
% 16.33/3.97 thf(f446,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((man @ sK8 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ($true = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f445,f273])).
% 16.33/3.97 thf(f273,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK8 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f271])).
% 16.33/3.97 thf(f445,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X3 @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f444])).
% 16.33/3.97 thf(f444,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ($true = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f443,f277])).
% 16.33/3.97 thf(f277,plain,(
% 16.33/3.97 ($true = (eiw_di @ sK9 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f275])).
% 16.33/3.97 thf(f443,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X1 @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f442])).
% 16.33/3.97 thf(f442,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ($true = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f441,f338])).
% 16.33/3.97 thf(f338,plain,(
% 16.33/3.97 ($true = (man @ sK9 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f335])).
% 16.33/3.97 thf(f441,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f440])).
% 16.33/3.97 thf(f440,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($true = $false) | ((young @ sK8 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(forward_demodulation,[status(thm)],[f413,f336])).
% 16.33/3.97 thf(f336,plain,(
% 16.33/3.97 ($true = (fellow @ sK9 @ mactual)) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f333])).
% 16.33/3.97 thf(f413,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((fellow @ sK8 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(trivial_inequality_removal,[status(thm)],[f409])).
% 16.33/3.97 thf(f409,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((fellow @ sK8 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X0 @ mactual) = $false) | ((man @ sK9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X1 @ X2 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((fellow @ sK9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X0 @ mactual) = $false) | ($true = $false) | ((qmltpeq @ sK8 @ X3 @ mactual) = $false) | ((qmltpeq @ sK9 @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ X3 @ X0 @ mactual) = $false) | ((man @ sK8 @ mactual) = $false)) ) | (~spl0_4 | ~spl0_5)),
% 16.33/3.97 inference(superposition,[status(thm)],[f404,f328])).
% 16.33/3.97 thf(f328,plain,(
% 16.33/3.97 ((qmltpeq @ sK8 @ sK9 @ mactual) = $false) | ~spl0_4),
% 16.33/3.97 inference(not_proxy_clausification,[status(thm)],[f327])).
% 16.33/3.97 thf(f327,plain,(
% 16.33/3.97 ($true = (~ (qmltpeq @ sK8 @ sK9 @ mactual))) | ~spl0_4),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f324])).
% 16.33/3.97 thf(f408,plain,(
% 16.33/3.97 spl0_5 | spl0_6 | ~spl0_2),
% 16.33/3.97 inference(avatar_split_clause,[status(thm)],[f401,f223,f406,f403])).
% 16.33/3.97 thf(f401,plain,(
% 16.33/3.97 ( ! [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 @ X4 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((in @ X10 @ X2 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((qmltpeq @ X8 @ X10 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((white @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f400])).
% 16.33/3.97 thf(f400,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((in @ X9 @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | (((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)) = $false) | ((city @ X3 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((car @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f399])).
% 16.33/3.97 thf(f399,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ X3 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((city @ X3 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | (((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((car @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f398])).
% 16.33/3.97 thf(f398,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual))) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f397])).
% 16.33/3.97 thf(f397,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((street @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | (((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f396])).
% 16.33/3.97 thf(f396,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((front @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | (((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))) = $false) | ((street @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((young @ X7 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f395])).
% 16.33/3.97 thf(f395,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((chevy @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | (((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((young @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f394])).
% 16.33/3.97 thf(f394,plain,(
% 16.33/3.97 ( ! [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) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((front @ X1 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | (((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))) = $false) | ((furniture @ X2 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((old @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(not_proxy_clausification,[status(thm)],[f393])).
% 16.33/3.97 thf(f393,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((event @ X4 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((~ (qmltpeq @ X7 @ X8 @ mactual)) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | (((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f392])).
% 16.33/3.97 thf(f392,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((city @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | (((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((~ (qmltpeq @ X7 @ X8 @ mactual)) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ($false = (fellow @ X7 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f391])).
% 16.33/3.97 thf(f391,plain,(
% 16.33/3.97 ( ! [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) | ((in @ X4 @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | (((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))) = $false) | ((street @ X5 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((~ (qmltpeq @ X7 @ X8 @ mactual)) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f390])).
% 16.33/3.97 thf(f390,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | (((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))) = $false) | ((event @ X4 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f389])).
% 16.33/3.97 thf(f389,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((event @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | (((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))) = $false) | ((street @ X5 @ mactual) = $false) | ((down @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f388])).
% 16.33/3.97 thf(f388,plain,(
% 16.33/3.97 ( ! [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 @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | (((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f387])).
% 16.33/3.97 thf(f387,plain,(
% 16.33/3.97 ( ! [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 @ X2 @ mactual) = $false) | ((old @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | (((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f386])).
% 16.33/3.97 thf(f386,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | (((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f385])).
% 16.33/3.97 thf(f385,plain,(
% 16.33/3.97 ( ! [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) | ((way @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | (((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f384])).
% 16.33/3.97 thf(f384,plain,(
% 16.33/3.97 ( ! [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 @ X6 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | (((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f383])).
% 16.33/3.97 thf(f383,plain,(
% 16.33/3.97 ( ! [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) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | (((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f382])).
% 16.33/3.97 thf(f382,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((lonely @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | (((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))) = $false) | ((eiw_di @ X10 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f381])).
% 16.33/3.97 thf(f381,plain,(
% 16.33/3.97 ( ! [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 @ X6 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | (((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f380])).
% 16.33/3.97 thf(f380,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | (((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f379])).
% 16.33/3.97 thf(f379,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((front @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((event @ X4 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | (((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f378])).
% 16.33/3.97 thf(f378,plain,(
% 16.33/3.97 ( ! [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 @ X1 @ mactual) = $false) | ((city @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | (((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f377])).
% 16.33/3.97 thf(f377,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((hollywood @ X3 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f376])).
% 16.33/3.97 thf(f376,plain,(
% 16.33/3.97 ( ! [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) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | (((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))))) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f375])).
% 16.33/3.97 thf(f375,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | (((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))))) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f374])).
% 16.33/3.97 thf(f374,plain,(
% 16.33/3.97 ( ! [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 @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | (((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))))))) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f373])).
% 16.33/3.97 thf(f373,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f372])).
% 16.33/3.97 thf(f372,plain,(
% 16.33/3.97 ( ! [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 @ X7 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | (((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f371])).
% 16.33/3.97 thf(f371,plain,(
% 16.33/3.97 ( ! [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 @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | (((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f370])).
% 16.33/3.97 thf(f370,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X10 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f369])).
% 16.33/3.97 thf(f369,plain,(
% 16.33/3.97 ( ! [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) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | (((eiw_di @ X10 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f368])).
% 16.33/3.97 thf(f368,plain,(
% 16.33/3.97 ( ! [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) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | (((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual))))))))))))))))))))))))))))))))) @ X10) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f367])).
% 16.33/3.97 thf(f367,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual)))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f366])).
% 16.33/3.97 thf(f366,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | (((eiw_di @ X9 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f365])).
% 16.33/3.97 thf(f365,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual)))))))))))))))))))))))))))))))))))) @ X9) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f364])).
% 16.33/3.97 thf(f364,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f363])).
% 16.33/3.97 thf(f363,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | (((eiw_di @ X8 @ mactual) & (?? @ $i @ (^[Y0 : $i]: ((eiw_di @ Y0 @ mactual) & (?? @ $i @ (^[Y1 : $i]: ((eiw_di @ Y1 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ X8 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ X8 @ mactual) & ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f362])).
% 16.33/3.97 thf(f362,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ Y0 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ X7 @ Y1 @ mactual) & ((in @ Y1 @ X1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))) @ X8) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f361])).
% 16.33/3.97 thf(f361,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ Y0 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ X7 @ Y1 @ mactual) & ((in @ Y1 @ X1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f360])).
% 16.33/3.97 thf(f360,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ 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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ X7 @ Y0 @ mactual)) & ((fellow @ X7 @ mactual) & ((man @ X7 @ mactual) & ((young @ X7 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ X7 @ Y1 @ mactual) & ((in @ Y1 @ X1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f359])).
% 16.33/3.97 thf(f359,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ X1 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))) @ X7) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f358])).
% 16.33/3.97 thf(f358,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ X1 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f357])).
% 16.33/3.97 thf(f357,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : ((((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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ X6 @ mactual) & ((car @ X6 @ mactual) & ((white @ X6 @ mactual) & ((dirty @ X6 @ mactual) & ((old @ X6 @ mactual) & ((barrel @ X4 @ X6 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ X1 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(beta_eta_normalization,[status(thm)],[f356])).
% 16.33/3.97 thf(f356,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ X1 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))) @ X6) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(pi_clausification,[status(thm)],[f355])).
% 16.33/3.97 thf(f355,plain,(
% 16.33/3.97 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ X1 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.97 inference(binary_proxy_clausification,[status(thm)],[f354])).
% 16.33/3.97 thf(f354,plain,(
% 16.33/3.97 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : ((((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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ X5 @ mactual) & ((way @ X5 @ mactual) & ((lonely @ X5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ X4 @ Y0 @ mactual) & ((down @ X4 @ X5 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ X1 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(beta_eta_normalization,[status(thm)],[f353])).
% 16.33/3.98 thf(f353,plain,(
% 16.33/3.98 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ 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) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X4 @ Y1 @ mactual) & ((down @ X4 @ Y0 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ X1 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))) @ X5) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(pi_clausification,[status(thm)],[f352])).
% 16.33/3.98 thf(f352,plain,(
% 16.33/3.98 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X4 @ Y1 @ mactual) & ((down @ X4 @ Y0 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ X1 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f351])).
% 16.33/3.98 thf(f351,plain,(
% 16.33/3.98 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ 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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ X4 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ X4 @ Y1 @ mactual) & ((down @ X4 @ Y0 @ mactual) & ((in @ X4 @ X3 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ X1 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(beta_eta_normalization,[status(thm)],[f350])).
% 16.33/3.98 thf(f350,plain,(
% 16.33/3.98 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ 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) & (?? @ $i @ (^[Y5 : $i]: ((eiw_di @ Y5 @ mactual) & (?? @ $i @ (^[Y6 : $i]: ((eiw_di @ Y6 @ mactual) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ X3 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ X1 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))) @ X4) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(pi_clausification,[status(thm)],[f349])).
% 16.33/3.98 thf(f349,plain,(
% 16.33/3.98 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ X3 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ X1 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f348])).
% 16.33/3.98 thf(f348,plain,(
% 16.33/3.98 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ X3 @ mactual) & ((city @ X3 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ X3 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ X1 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(beta_eta_normalization,[status(thm)],[f347])).
% 16.33/3.98 thf(f347,plain,(
% 16.33/3.98 ( ! [X2 : $i,X3 : $i,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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ X1 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X3) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(pi_clausification,[status(thm)],[f245])).
% 16.33/3.98 thf(f245,plain,(
% 16.33/3.98 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ X1 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ X2 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f244])).
% 16.33/3.98 thf(f244,plain,(
% 16.33/3.98 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ X2 @ mactual) & ((furniture @ X2 @ mactual) & ((front @ X2 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((chevy @ Y3 @ mactual) & ((car @ Y3 @ mactual) & ((white @ Y3 @ mactual) & ((dirty @ Y3 @ mactual) & ((old @ Y3 @ mactual) & ((barrel @ Y1 @ Y3 @ mactual) & ((down @ Y1 @ Y2 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ X1 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ X2 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(beta_eta_normalization,[status(thm)],[f243])).
% 16.33/3.98 thf(f243,plain,(
% 16.33/3.98 ( ! [X2 : $i,X1 : $i] : (((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) & (?? @ $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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((barrel @ Y2 @ Y4 @ mactual) & ((down @ Y2 @ Y3 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ X1 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X2) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(pi_clausification,[status(thm)],[f242])).
% 16.33/3.98 thf(f242,plain,(
% 16.33/3.98 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((barrel @ Y2 @ Y4 @ mactual) & ((down @ Y2 @ Y3 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ X1 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f241])).
% 16.33/3.98 thf(f241,plain,(
% 16.33/3.98 ( ! [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) & ((seat @ X1 @ mactual) & ((furniture @ X1 @ mactual) & ((front @ X1 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((hollywood @ Y1 @ mactual) & ((city @ Y1 @ mactual) & ((event @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((barrel @ Y2 @ Y4 @ mactual) & ((down @ Y2 @ Y3 @ mactual) & ((in @ Y2 @ Y1 @ mactual) & ((~ (qmltpeq @ Y5 @ Y6 @ mactual)) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & ((in @ Y7 @ X1 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & (in @ Y8 @ Y0 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(beta_eta_normalization,[status(thm)],[f240])).
% 16.33/3.98 thf(f240,plain,(
% 16.33/3.98 ( ! [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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) @ X1) = $false)) ) | ~spl0_2),
% 16.33/3.98 inference(pi_clausification,[status(thm)],[f225])).
% 16.33/3.98 thf(f239,plain,(
% 16.33/3.98 spl0_3 | spl0_4),
% 16.33/3.98 inference(avatar_split_clause,[status(thm)],[f233,f235,f228])).
% 16.33/3.98 thf(f233,plain,(
% 16.33/3.98 ($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 : $i]: ((eiw_di @ Y9 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) | ($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 : $i]: ((eiw_di @ Y9 @ mactual) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f215])).
% 16.33/3.98 thf(f215,plain,(
% 16.33/3.98 ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 16.33/3.98 thf(f213,plain,(
% 16.33/3.98 ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f212])).
% 16.33/3.98 thf(f212,plain,(
% 16.33/3.98 ((((?? @ $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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.33/3.98 inference(not_proxy_clausification,[status(thm)],[f211])).
% 16.33/3.98 thf(f211,plain,(
% 16.33/3.98 ($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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.33/3.98 inference(beta_eta_normalization,[status(thm)],[f172])).
% 16.33/3.98 thf(f172,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]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (seat @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (furniture @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (front @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (seat @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (furniture @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (front @ Y1) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (hollywood @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (city @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (event @ Y3) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (street @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (way @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (lonely @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (chevy @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (car @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (white @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (dirty @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (old @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (barrel @ Y3 @ Y5) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (down @ Y3 @ Y4) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (in @ Y3 @ Y2) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld]: (~ (Y10 @ Y11))))) @ (qmltpeq @ Y6 @ Y7)) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (fellow @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (man @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (young @ Y6) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (fellow @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (man @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (young @ Y7) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (qmltpeq @ Y6 @ Y8) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (in @ Y8 @ Y0) @ ((^[Y10 : mworld > $o]: ((^[Y11 : mworld > $o]: ((^[Y12 : mworld]: ((Y10 @ Y12) & (Y11 @ Y12))))))) @ (qmltpeq @ Y7 @ Y9) @ (in @ Y9 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.33/3.98 inference(definition_unfolding,[status(thm)],[f139,f142,f133,f122,f150,f150,f150,f150,f150,f150,f150,f150,f150,f150,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f132,f133,f133,f133,f133,f133,f133,f133,f133,f133,f150,f150,f150,f150,f150,f150,f150,f150,f150,f150,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f132,f133,f133,f133,f133,f133,f133,f133,f133,f133,f122,f150,f150,f150,f150,f150,f150,f150,f150,f150,f150,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f132,f133,f133,f133,f133,f133,f133,f133,f133,f133,f150,f150,f150,f150,f150,f150,f150,f150,f150,f150,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f133,f132,f133,f133,f133,f133,f133,f133,f133,f133,f133])).
% 16.33/3.98 thf(f132,plain,(
% 16.33/3.98 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 16.33/3.98 inference(cnf_transformation,[status(thm)],[f55])).
% 16.33/3.98 thf(f55,plain,(
% 16.33/3.98 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 16.33/3.98 inference(fool_elimination,[status(thm)],[f54])).
% 16.33/3.98 thf(f54,plain,(
% 16.33/3.98 (mnot = (^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))))),
% 16.33/3.98 inference(rectify,[status(thm)],[f2])).
% 16.33/3.98 thf(f2,axiom,(
% 16.33/3.98 (mnot = (^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))))),
% 16.33/3.98 file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mnot_def)).
% 16.33/3.98 thf(f150,plain,(
% 16.33/3.98 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 16.33/3.98 inference(cnf_transformation,[status(thm)],[f75])).
% 16.33/3.98 thf(f75,plain,(
% 16.33/3.98 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((eiw_di @ Y2 @ Y1) & (Y0 @ Y2 @ Y1))))))))),
% 16.33/3.98 inference(fool_elimination,[status(thm)],[f74])).
% 16.33/3.98 thf(f74,plain,(
% 16.33/3.98 (mexists_di = (^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2 : $i] : ((X0 @ X2 @ X1) & (eiw_di @ X2 @ X1)))))),
% 16.33/3.98 inference(rectify,[status(thm)],[f12])).
% 16.33/3.98 thf(f12,axiom,(
% 16.33/3.98 (mexists_di = (^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5 : $i] : ((X1 @ X5 @ X2) & (eiw_di @ X5 @ X2)))))),
% 16.33/3.98 file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mexists_di_def)).
% 16.33/3.98 thf(f122,plain,(
% 16.33/3.98 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 16.33/3.98 inference(cnf_transformation,[status(thm)],[f114])).
% 16.33/3.98 thf(f114,plain,(
% 16.33/3.98 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 16.33/3.98 inference(fool_elimination,[status(thm)],[f113])).
% 16.33/3.98 thf(f113,plain,(
% 16.33/3.98 (mimplies = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))))),
% 16.33/3.98 inference(rectify,[status(thm)],[f5])).
% 16.33/3.98 thf(f5,axiom,(
% 16.33/3.98 (mimplies = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))))),
% 16.33/3.98 file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mimplies_def)).
% 16.33/3.98 thf(f133,plain,(
% 16.33/3.98 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 16.33/3.98 inference(cnf_transformation,[status(thm)],[f73])).
% 16.33/3.98 thf(f73,plain,(
% 16.33/3.98 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 16.33/3.98 inference(fool_elimination,[status(thm)],[f72])).
% 16.33/3.98 thf(f72,plain,(
% 16.33/3.98 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 16.33/3.98 inference(rectify,[status(thm)],[f3])).
% 16.33/3.98 thf(f3,axiom,(
% 16.33/3.98 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))))),
% 16.33/3.98 file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mand_def)).
% 16.33/3.98 thf(f142,plain,(
% 16.33/3.98 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 16.33/3.98 inference(cnf_transformation,[status(thm)],[f104])).
% 16.33/3.98 thf(f104,plain,(
% 16.33/3.98 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 16.33/3.98 inference(fool_elimination,[status(thm)],[f1])).
% 16.33/3.98 thf(f1,axiom,(
% 16.33/3.98 ((^[X0 : mworld > $o] : (X0 @ mactual)) = mlocal)),
% 16.33/3.98 file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',mlocal_def)).
% 16.33/3.98 thf(f139,plain,(
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% 16.33/3.98 inference(cnf_transformation,[status(thm)],[f69])).
% 16.33/3.98 thf(f69,plain,(
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% 16.33/3.98 inference(fool_elimination,[status(thm)],[f68])).
% 16.33/3.98 thf(f68,plain,(
% 16.33/3.98 ~(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))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.33/3.98 inference(rectify,[status(thm)],[f40])).
% 16.33/3.98 thf(f40,negated_conjecture,(
% 16.33/3.98 ~(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))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.33/3.98 inference(negated_conjecture,[status(cth)],[f39])).
% 16.33/3.98 thf(f39,conjecture,(
% 16.33/3.98 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.33/3.98 file('/export/starexec/sandbox/tmp/tmp.XNTYEAXYI6/DTF2THF_29700.p',co1)).
% 16.33/3.98 thf(f226,plain,(
% 16.33/3.98 spl0_1 | spl0_2),
% 16.33/3.98 inference(avatar_split_clause,[status(thm)],[f216,f223,f219])).
% 16.33/3.98 thf(f216,plain,(
% 16.33/3.98 ((?? @ $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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f214])).
% 16.33/3.98 thf(f214,plain,(
% 16.33/3.98 ((?? @ $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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ 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) & ((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) = $false)),
% 16.33/3.98 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 16.33/3.98 % SZS output end Proof for DTF2THF_29700
% 16.33/3.98 % (29918)------------------------------
% 16.33/3.98 % (29918)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.33/3.98 % (29918)Termination reason: Refutation
% 16.33/3.98
% 16.33/3.98 % (29918)Memory used [KB]: 9083
% 16.33/3.98 % (29918)Time elapsed: 0.571 s
% 16.33/3.98 % (29918)Instructions burned: 1039 (million)
% 16.33/3.98 % (29918)------------------------------
% 16.33/3.98 % (29918)------------------------------
% 16.33/3.98 % (29797)Success in time 2.352 s
%------------------------------------------------------------------------------