%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : NLP004^13 : 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 : n010.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 09:21:50 AM UTC 2026
% Result : Theorem 16.37s 3.94s
% Output : Refutation 16.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 77
% Number of leaves : 20
% Syntax : Number of formulae : 678 ( 25 unt; 0 typ; 14 def)
% Number of atoms : 31415 (3937 equ; 0 cnn)
% Maximal formula atoms : 292 ( 46 avg)
% Number of connectives : 53193 ( 806 ~;4100 |;10348 &;36739 @)
% ( 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(f1256,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f226,f239,f408,f444,f492,f509,f513,f660,f779,f902,f915,f937,f993,f1041,f1066,f1091,f1230,f1255]) ).
thf(f1255,plain,
( spl0_1
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[status(thm)],[f1254]) ).
thf(f1254,plain,
( $false
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1253]) ).
thf(f1253,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_10 ),
inference(backward_demodulation,[status(thm)],[f1148,f1252]) ).
thf(f1252,plain,
( ( ( furniture @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1251]) ).
thf(f1251,plain,
( ( $true = $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1250,f1146]) ).
thf(f1146,plain,
( ( $true
= ( seat @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1143]) ).
thf(f1143,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)],[f1141]) ).
thf(f1141,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)],[f1139]) ).
thf(f1139,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)],[f1138]) ).
thf(f1138,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1136]) ).
thf(f1136,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 )
& ( eiw_di @ sK11 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1135]) ).
thf(f1135,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) )
@ sK11 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1134]) ).
thf(f1134,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1132]) ).
thf(f1132,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK10 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1131]) ).
thf(f1131,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK10 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1130]) ).
thf(f1130,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1128]) ).
thf(f1128,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK9 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1127]) ).
thf(f1127,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK9 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1126]) ).
thf(f1126,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1124]) ).
thf(f1124,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK8 @ mactual ) )
= $true )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1123]) ).
thf(f1123,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK8 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1122]) ).
thf(f1122,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1120]) ).
thf(f1120,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK7 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1119]) ).
thf(f1119,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK7 )
= $true )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1118]) ).
thf(f1118,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1116]) ).
thf(f1116,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1115]) ).
thf(f1115,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK6 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1114]) ).
thf(f1114,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1112]) ).
thf(f1112,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK5 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1111]) ).
thf(f1111,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK5 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1110]) ).
thf(f1110,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1108]) ).
thf(f1108,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK4 @ mactual ) )
= $true )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1107]) ).
thf(f1107,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK4 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1106]) ).
thf(f1106,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1104]) ).
thf(f1104,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1103]) ).
thf(f1103,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK3 )
= $true )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f1102]) ).
thf(f1102,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1100]) ).
thf(f1100,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK2 @ mactual ) )
= $true )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f1099]) ).
thf(f1099,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK2 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f220]) ).
thf(f220,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
!= $false )
| spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f219]) ).
thf(f219,definition,
( spl0_1
<=> ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f1250,plain,
( ( ( seat @ sK3 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1249]) ).
thf(f1249,plain,
( ( $true = $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1248,f1150]) ).
thf(f1150,plain,
( ( ( front @ sK3 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1147]) ).
thf(f1147,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)],[f1145]) ).
thf(f1145,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)],[f1143]) ).
thf(f1248,plain,
( ( ( front @ sK3 @ mactual )
= $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1247]) ).
thf(f1247,plain,
( ( ( furniture @ sK3 @ mactual )
= $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| ( $true = $false )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1246,f1105]) ).
thf(f1105,plain,
( ( $true
= ( eiw_di @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1104]) ).
thf(f1246,plain,
( ( ( eiw_di @ sK3 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( ( front @ sK3 @ mactual )
= $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1243]) ).
thf(f1243,plain,
( ( $true = $false )
| ( ( front @ sK3 @ mactual )
= $false )
| ( ( furniture @ sK3 @ mactual )
= $false )
| ( ( eiw_di @ sK3 @ mactual )
= $false )
| ( ( seat @ sK3 @ mactual )
= $false )
| spl0_1
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f1242,f1198]) ).
thf(f1198,plain,
( ( $true
= ( in @ sK11 @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1196]) ).
thf(f1196,plain,
( ( $true
= ( ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1194]) ).
thf(f1194,plain,
( ( ( ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1192]) ).
thf(f1192,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)],[f1190]) ).
thf(f1190,plain,
( ( ( ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1188]) ).
thf(f1188,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)],[f1186]) ).
thf(f1186,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)],[f1184]) ).
thf(f1184,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)],[f1182]) ).
thf(f1182,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)],[f1179]) ).
thf(f1179,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)],[f1177]) ).
thf(f1177,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)],[f1175]) ).
thf(f1175,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)],[f1173]) ).
thf(f1173,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)],[f1171]) ).
thf(f1171,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1169]) ).
thf(f1169,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)],[f1167]) ).
thf(f1167,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1165]) ).
thf(f1165,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)],[f1163]) ).
thf(f1163,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)],[f1161]) ).
thf(f1161,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)],[f1159]) ).
thf(f1159,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)],[f1157]) ).
thf(f1157,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1155]) ).
thf(f1155,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1153]) ).
thf(f1153,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)],[f1151]) ).
thf(f1151,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1149]) ).
thf(f1149,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)],[f1147]) ).
thf(f1242,plain,
( ! [X0: $i] :
( ( $false
= ( in @ sK11 @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1241]) ).
thf(f1241,plain,
( ! [X0: $i] :
( ( $true = $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( in @ sK11 @ X0 @ mactual ) ) )
| spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f1238,f1137]) ).
thf(f1137,plain,
( ( $true
= ( eiw_di @ sK11 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1136]) ).
thf(f1238,plain,
( ! [X0: $i] :
( ( $false
= ( eiw_di @ sK11 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( $false
= ( in @ sK11 @ X0 @ mactual ) ) )
| spl0_1
| ~ spl0_10 ),
inference(trivial_inequality_removal,[status(thm)],[f1231]) ).
thf(f1231,plain,
( ! [X0: $i] :
( ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK11 @ mactual ) )
| ( $false
= ( in @ sK11 @ X0 @ mactual ) )
| ( $true = $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( $false
= ( front @ X0 @ mactual ) ) )
| spl0_1
| ~ spl0_10 ),
inference(superposition,[status(thm)],[f474,f1199]) ).
thf(f1199,plain,
( ( $true
= ( qmltpeq @ sK9 @ sK11 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1196]) ).
thf(f474,plain,
( ! [X2: $i,X3: $i] :
( ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false ) )
| ~ spl0_10 ),
inference(avatar_component_clause,[status(thm)],[f473]) ).
thf(f473,definition,
( spl0_10
<=> ! [X2: $i,X3: $i] :
( ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition]) ).
thf(f1148,plain,
( ( $true
= ( furniture @ sK3 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1145]) ).
thf(f1230,plain,
( spl0_1
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[status(thm)],[f1229]) ).
thf(f1229,plain,
( $false
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1228]) ).
thf(f1228,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f1142,f1227]) ).
thf(f1227,plain,
( ( $false
= ( furniture @ sK2 @ mactual ) )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1226]) ).
thf(f1226,plain,
( ( $true = $false )
| ( $false
= ( furniture @ sK2 @ mactual ) )
| spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1225,f1140]) ).
thf(f1140,plain,
( ( $true
= ( seat @ sK2 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1138]) ).
thf(f1225,plain,
( ( ( seat @ sK2 @ mactual )
= $false )
| ( $false
= ( furniture @ sK2 @ mactual ) )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1224]) ).
thf(f1224,plain,
( ( ( seat @ sK2 @ mactual )
= $false )
| ( $false
= ( furniture @ sK2 @ mactual ) )
| ( $true = $false )
| spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1223,f1144]) ).
thf(f1144,plain,
( ( $true
= ( front @ sK2 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1141]) ).
thf(f1223,plain,
( ( $false
= ( front @ sK2 @ mactual ) )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( $false
= ( furniture @ sK2 @ mactual ) )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1222]) ).
thf(f1222,plain,
( ( $true = $false )
| ( $false
= ( furniture @ sK2 @ mactual ) )
| ( $false
= ( front @ sK2 @ mactual ) )
| ( ( seat @ sK2 @ mactual )
= $false )
| spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1221,f1101]) ).
thf(f1101,plain,
( ( $true
= ( eiw_di @ sK2 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1100]) ).
thf(f1221,plain,
( ( $false
= ( eiw_di @ sK2 @ mactual ) )
| ( ( seat @ sK2 @ mactual )
= $false )
| ( $false
= ( front @ sK2 @ mactual ) )
| ( $false
= ( furniture @ sK2 @ mactual ) )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1218]) ).
thf(f1218,plain,
( ( $false
= ( eiw_di @ sK2 @ mactual ) )
| ( $true = $false )
| ( $false
= ( furniture @ sK2 @ mactual ) )
| ( $false
= ( front @ sK2 @ mactual ) )
| ( ( seat @ sK2 @ mactual )
= $false )
| spl0_1
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f1209,f1197]) ).
thf(f1197,plain,
( ( ( in @ sK10 @ sK2 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1194]) ).
thf(f1209,plain,
( ! [X0: $i] :
( ( $false
= ( in @ sK10 @ X0 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1208]) ).
thf(f1208,plain,
( ! [X0: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $true = $false )
| ( $false
= ( in @ sK10 @ X0 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f1207,f1133]) ).
thf(f1133,plain,
( ( $true
= ( eiw_di @ sK10 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1132]) ).
thf(f1207,plain,
( ! [X0: $i] :
( ( $false
= ( front @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK10 @ mactual )
= $false )
| ( $false
= ( in @ sK10 @ X0 @ mactual ) ) )
| spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[status(thm)],[f1205]) ).
thf(f1205,plain,
( ! [X0: $i] :
( ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( in @ sK10 @ X0 @ mactual ) )
| ( $true = $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ sK10 @ mactual )
= $false ) )
| spl0_1
| ~ spl0_9 ),
inference(superposition,[status(thm)],[f471,f1195]) ).
thf(f1195,plain,
( ( $true
= ( qmltpeq @ sK8 @ sK10 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1192]) ).
thf(f471,plain,
( ! [X0: $i,X1: $i] :
( ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false ) )
| ~ spl0_9 ),
inference(avatar_component_clause,[status(thm)],[f470]) ).
thf(f470,definition,
( spl0_9
<=> ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition]) ).
thf(f1142,plain,
( ( $true
= ( furniture @ sK2 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f1139]) ).
thf(f1091,plain,
( spl0_2
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[status(thm)],[f1090]) ).
thf(f1090,plain,
( $false
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1089]) ).
thf(f1089,plain,
( ( $true = $false )
| spl0_2
| ~ spl0_13 ),
inference(backward_demodulation,[status(thm)],[f827,f1088]) ).
thf(f1088,plain,
( ( ( furniture @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1087]) ).
thf(f1087,plain,
( ( ( furniture @ sK12 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1086,f786]) ).
thf(f786,plain,
( ( $true
= ( eiw_di @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f785]) ).
thf(f785,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK12 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f784]) ).
thf(f784,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK12 )
= $true )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f224]) ).
thf(f224,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
!= $false )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f223]) ).
thf(f223,definition,
( spl0_2
<=> ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f1086,plain,
( ( ( eiw_di @ sK12 @ mactual )
= $false )
| ( ( furniture @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1085]) ).
thf(f1085,plain,
( ( ( furniture @ sK12 @ mactual )
= $false )
| ( ( eiw_di @ sK12 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1084,f825]) ).
thf(f825,plain,
( ( $true
= ( seat @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f823]) ).
thf(f823,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)],[f821]) ).
thf(f821,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 )
& ( eiw_di @ sK21 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f820]) ).
thf(f820,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) )
@ sK21 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f819]) ).
thf(f819,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f817]) ).
thf(f817,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK20 @ mactual ) )
= $true )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f816]) ).
thf(f816,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK20 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f815]) ).
thf(f815,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f813]) ).
thf(f813,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK19 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f812]) ).
thf(f812,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK19 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f811]) ).
thf(f811,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f809]) ).
thf(f809,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK18 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f808]) ).
thf(f808,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK18 )
= $true )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f807]) ).
thf(f807,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f805]) ).
thf(f805,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK17 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f804]) ).
thf(f804,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK17 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f803]) ).
thf(f803,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f801]) ).
thf(f801,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK16 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f800]) ).
thf(f800,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK16 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f799]) ).
thf(f799,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f797]) ).
thf(f797,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK15 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f796]) ).
thf(f796,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK15 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f795]) ).
thf(f795,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f793]) ).
thf(f793,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK14 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f792]) ).
thf(f792,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK14 ) )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f791]) ).
thf(f791,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f789]) ).
thf(f789,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f788]) ).
thf(f788,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK13 )
= $true )
| spl0_2 ),
inference(sigma_clausification,[status(thm)],[f787]) ).
thf(f787,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f785]) ).
thf(f1084,plain,
( ( ( furniture @ sK12 @ mactual )
= $false )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( ( eiw_di @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1083]) ).
thf(f1083,plain,
( ( ( eiw_di @ sK12 @ mactual )
= $false )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( ( furniture @ sK12 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1082,f829]) ).
thf(f829,plain,
( ( $true
= ( front @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f826]) ).
thf(f826,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)],[f824]) ).
thf(f824,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)],[f823]) ).
thf(f1082,plain,
( ( ( front @ sK12 @ mactual )
= $false )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( ( eiw_di @ sK12 @ mactual )
= $false )
| ( ( furniture @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1079]) ).
thf(f1079,plain,
( ( ( eiw_di @ sK12 @ mactual )
= $false )
| ( ( seat @ sK12 @ mactual )
= $false )
| ( ( furniture @ sK12 @ mactual )
= $false )
| ( $true = $false )
| ( ( front @ sK12 @ mactual )
= $false )
| spl0_2
| ~ spl0_13 ),
inference(superposition,[status(thm)],[f1078,f882]) ).
thf(f882,plain,
( ( ( in @ sK20 @ sK12 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f879]) ).
thf(f879,plain,
( ( $true
= ( ( in @ sK20 @ sK12 @ mactual )
& ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f877]) ).
thf(f877,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)],[f875]) ).
thf(f875,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)],[f873]) ).
thf(f873,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)],[f871]) ).
thf(f871,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)],[f869]) ).
thf(f869,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)],[f867]) ).
thf(f867,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)],[f864]) ).
thf(f864,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)],[f862]) ).
thf(f862,plain,
( ( ( ~ ( 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 ) )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f860]) ).
thf(f860,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)],[f858]) ).
thf(f858,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)],[f856]) ).
thf(f856,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)],[f854]) ).
thf(f854,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)],[f852]) ).
thf(f852,plain,
( ( ( ( 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 ) )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f850]) ).
thf(f850,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)],[f848]) ).
thf(f848,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)],[f846]) ).
thf(f846,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)],[f844]) ).
thf(f844,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)],[f842]) ).
thf(f842,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)],[f840]) ).
thf(f840,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)],[f838]) ).
thf(f838,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)],[f836]) ).
thf(f836,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)],[f834]) ).
thf(f834,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)],[f832]) ).
thf(f832,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)],[f830]) ).
thf(f830,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)],[f828]) ).
thf(f828,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)],[f826]) ).
thf(f1078,plain,
( ! [X0: $i] :
( ( ( in @ sK20 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1077]) ).
thf(f1077,plain,
( ! [X0: $i] :
( ( $false
= ( furniture @ X0 @ mactual ) )
| ( $true = $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ sK20 @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f1076,f818]) ).
thf(f818,plain,
( ( $true
= ( eiw_di @ sK20 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f817]) ).
thf(f1076,plain,
( ! [X0: $i] :
( ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( eiw_di @ sK20 @ mactual ) )
| ( ( in @ sK20 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1069]) ).
thf(f1069,plain,
( ! [X0: $i] :
( ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( eiw_di @ sK20 @ mactual ) )
| ( ( in @ sK20 @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false ) )
| spl0_2
| ~ spl0_13 ),
inference(superposition,[status(thm)],[f880,f1020]) ).
thf(f1020,plain,
( ! [X2: $i,X3: $i] :
( ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_13 ),
inference(avatar_component_clause,[status(thm)],[f1019]) ).
thf(f1019,definition,
( spl0_13
<=> ! [X2: $i,X3: $i] :
( ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition]) ).
thf(f880,plain,
( ( $true
= ( qmltpeq @ sK18 @ sK20 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f877]) ).
thf(f827,plain,
( ( $true
= ( furniture @ sK12 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f824]) ).
thf(f1066,plain,
( spl0_2
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[status(thm)],[f1065]) ).
thf(f1065,plain,
( $false
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1064]) ).
thf(f1064,plain,
( ( $true = $false )
| spl0_2
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f833,f1063]) ).
thf(f1063,plain,
( ( ( furniture @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1062]) ).
thf(f1062,plain,
( ( $true = $false )
| ( ( furniture @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1061,f835]) ).
thf(f835,plain,
( ( $true
= ( front @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f832]) ).
thf(f1061,plain,
( ( $false
= ( front @ sK13 @ mactual ) )
| ( ( furniture @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1060]) ).
thf(f1060,plain,
( ( $true = $false )
| ( $false
= ( front @ sK13 @ mactual ) )
| ( ( furniture @ sK13 @ mactual )
= $false )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1059,f831]) ).
thf(f831,plain,
( ( $true
= ( seat @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f828]) ).
thf(f1059,plain,
( ( ( furniture @ sK13 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( $false
= ( front @ sK13 @ mactual ) )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1058]) ).
thf(f1058,plain,
( ( $true = $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( ( furniture @ sK13 @ mactual )
= $false )
| ( $false
= ( front @ sK13 @ mactual ) )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1057,f790]) ).
thf(f790,plain,
( ( ( eiw_di @ sK13 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f789]) ).
thf(f1057,plain,
( ( ( eiw_di @ sK13 @ mactual )
= $false )
| ( ( furniture @ sK13 @ mactual )
= $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( $false
= ( front @ sK13 @ mactual ) )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1055]) ).
thf(f1055,plain,
( ( $true = $false )
| ( ( seat @ sK13 @ mactual )
= $false )
| ( ( eiw_di @ sK13 @ mactual )
= $false )
| ( ( furniture @ sK13 @ mactual )
= $false )
| ( $false
= ( front @ sK13 @ mactual ) )
| spl0_2
| ~ spl0_14 ),
inference(superposition,[status(thm)],[f883,f1053]) ).
thf(f1053,plain,
( ! [X0: $i] :
( ( ( in @ sK21 @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1052]) ).
thf(f1052,plain,
( ! [X0: $i] :
( ( ( in @ sK21 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_14 ),
inference(forward_demodulation,[status(thm)],[f1049,f822]) ).
thf(f822,plain,
( ( $true
= ( eiw_di @ sK21 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f821]) ).
thf(f1049,plain,
( ! [X0: $i] :
( ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( in @ sK21 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK21 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_14 ),
inference(trivial_inequality_removal,[status(thm)],[f1042]) ).
thf(f1042,plain,
( ! [X0: $i] :
( ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ sK21 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ sK21 @ X0 @ mactual )
= $false )
| ( $true = $false ) )
| spl0_2
| ~ spl0_14 ),
inference(superposition,[status(thm)],[f1023,f884]) ).
thf(f884,plain,
( ( $true
= ( qmltpeq @ sK19 @ sK21 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f881]) ).
thf(f881,plain,
( ( $true
= ( ( qmltpeq @ sK19 @ sK21 @ mactual )
& ( in @ sK21 @ sK13 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f879]) ).
thf(f1023,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_14 ),
inference(avatar_component_clause,[status(thm)],[f1022]) ).
thf(f1022,definition,
( spl0_14
<=> ! [X0: $i,X1: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition]) ).
thf(f883,plain,
( ( $true
= ( in @ sK21 @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f881]) ).
thf(f833,plain,
( ( $true
= ( furniture @ sK13 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f830]) ).
thf(f1041,plain,
( spl0_13
| spl0_14
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f1040,f406,f223,f1022,f1019]) ).
thf(f406,definition,
( spl0_6
<=> ! [X9: $i,X7: $i,X8: $i,X10: $i,X2: $i,X1: $i] :
( ( $false
= ( in @ X10 @ X2 @ mactual ) )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X8 @ X10 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition]) ).
thf(f1040,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1039]) ).
thf(f1039,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1038,f814]) ).
thf(f814,plain,
( ( $true
= ( eiw_di @ sK19 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f813]) ).
thf(f1038,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1037]) ).
thf(f1037,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1036,f878]) ).
thf(f878,plain,
( ( ( young @ sK19 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f875]) ).
thf(f1036,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1035]) ).
thf(f1035,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1034,f874]) ).
thf(f874,plain,
( ( $true
= ( fellow @ sK19 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f871]) ).
thf(f1034,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( seat @ X2 @ mactual ) )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1033]) ).
thf(f1033,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1032,f870]) ).
thf(f870,plain,
( ( $true
= ( man @ sK18 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f867]) ).
thf(f1032,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1031]) ).
thf(f1031,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( man @ sK18 @ mactual )
= $false )
| ( $true = $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1030,f872]) ).
thf(f872,plain,
( ( $true
= ( young @ sK18 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f869]) ).
thf(f1030,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( young @ sK18 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1029]) ).
thf(f1029,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( young @ sK18 @ mactual ) ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1028,f876]) ).
thf(f876,plain,
( ( ( man @ sK19 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f873]) ).
thf(f1028,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( $false
= ( young @ sK18 @ mactual ) )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1027]) ).
thf(f1027,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $true = $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( young @ sK18 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1026,f810]) ).
thf(f810,plain,
( ( $true
= ( eiw_di @ sK18 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f809]) ).
thf(f1026,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( young @ sK18 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f1025]) ).
thf(f1025,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( young @ sK19 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( young @ sK18 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( $true = $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f1000,f868]) ).
thf(f868,plain,
( ( ( fellow @ sK18 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f864]) ).
thf(f1000,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( young @ sK18 @ mactual ) )
| ( ( man @ sK19 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f994]) ).
thf(f994,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( qmltpeq @ sK19 @ X0 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( young @ sK19 @ mactual )
= $false )
| ( ( man @ sK19 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( fellow @ sK18 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ sK18 @ X3 @ mactual ) )
| ( ( in @ X3 @ X2 @ mactual )
= $false )
| ( ( man @ sK18 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ sK18 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( young @ sK18 @ mactual ) )
| ( ( in @ X0 @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( fellow @ sK19 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK19 @ mactual ) ) )
| spl0_2
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f407,f866]) ).
thf(f866,plain,
( ( ( qmltpeq @ sK18 @ sK19 @ mactual )
= $false )
| spl0_2 ),
inference(not_proxy_clausification,[status(thm)],[f865]) ).
thf(f865,plain,
( ( $true
= ( ~ ( qmltpeq @ sK18 @ sK19 @ mactual ) ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f862]) ).
thf(f407,plain,
( ! [X2: $i,X10: $i,X1: $i,X8: $i,X9: $i,X7: $i] :
( ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( $false
= ( in @ X10 @ X2 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( qmltpeq @ X8 @ X10 @ mactual ) )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false ) )
| ~ spl0_6 ),
inference(avatar_component_clause,[status(thm)],[f406]) ).
thf(f993,plain,
( spl0_5
| spl0_6
| ~ spl0_1 ),
inference(avatar_split_clause,[status(thm)],[f992,f219,f406,f403]) ).
thf(f403,definition,
( spl0_5
<=> ! [X5: $i,X4: $i,X6: $i,X3: $i] :
( ( ( white @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition]) ).
thf(f992,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 )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( qmltpeq @ X8 @ X10 @ mactual ) )
| ( $false
= ( in @ X10 @ X2 @ mactual ) )
| ( ( old @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f991]) ).
thf(f991,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( street @ X6 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f990]) ).
thf(f990,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 @ X1 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f989]) ).
thf(f989,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 )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f988]) ).
thf(f988,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( lonely @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ 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
= ( event @ X4 @ mactual ) )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f987]) ).
thf(f987,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( $false
= ( ( 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
= ( young @ X7 @ mactual ) )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f986]) ).
thf(f986,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ 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 )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f985]) ).
thf(f985,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ 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 )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( man @ X7 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f984]) ).
thf(f984,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( old @ X5 @ 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 )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f983]) ).
thf(f983,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ 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 @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) ) )
| ~ spl0_1 ),
inference(not_proxy_clausification,[status(thm)],[f982]) ).
thf(f982,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ 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 )
| ( $false
= ( street @ X6 @ mactual ) )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f981]) ).
thf(f981,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( hollywood @ 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 )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f980]) ).
thf(f980,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( down @ X4 @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $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 ) ) )
| ( ( old @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( white @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f979]) ).
thf(f979,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( old @ 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 )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X5 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f978]) ).
thf(f978,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $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
= ( street @ X6 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( lonely @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f977]) ).
thf(f977,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( way @ X6 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ 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 @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f976]) ).
thf(f976,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( chevy @ X5 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( white @ X5 @ 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 )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( $false
= ( street @ X6 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f975]) ).
thf(f975,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $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
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( old @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f974]) ).
thf(f974,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( dirty @ X5 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( $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 ) ) )
| ( ( white @ X5 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f973]) ).
thf(f973,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ 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 )
| ( ( car @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( white @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f972]) ).
thf(f972,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $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
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( car @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f971]) ).
thf(f971,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( 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 )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( chevy @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f970]) ).
thf(f970,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ 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
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f969]) ).
thf(f969,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( hollywood @ 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 )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f968]) ).
thf(f968,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $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
= ( seat @ X2 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f967]) ).
thf(f967,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $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
= ( seat @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f966]) ).
thf(f966,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X7 @ 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 @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f965]) ).
thf(f965,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $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 )
| ( ( eiw_di @ X9 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f964]) ).
thf(f964,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $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 ) ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f963]) ).
thf(f963,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( front @ X1 @ mactual )
& ( 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 )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f962]) ).
thf(f962,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ 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 )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f961]) ).
thf(f961,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ( 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 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f960]) ).
thf(f960,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ 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 )
& ( eiw_di @ X10 @ mactual ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f959]) ).
thf(f959,plain,
( ! [X2: $i,X3: $i,X10: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( ^ [Y0: $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 )
& ( 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 )
& ( eiw_di @ Y0 @ mactual ) )
@ X10 )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f958]) ).
thf(f958,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $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 )
& ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ 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)],[f957]) ).
thf(f957,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 )
| ( $false
= ( ( ?? @ $i
@ ^ [Y0: $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 )
& ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X9 @ mactual ) ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f956]) ).
thf(f956,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X9: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $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 )
& ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X9 ) ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f955]) ).
thf(f955,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $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 )
& ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f954]) ).
thf(f954,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $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 )
& ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X8 @ mactual ) ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f953]) ).
thf(f953,plain,
( ! [X2: $i,X3: $i,X1: $i,X8: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $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 )
& ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X8 )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f952]) ).
thf(f952,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $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 )
& ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f951]) ).
thf(f951,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $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 )
& ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X7 @ mactual ) )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f950]) ).
thf(f950,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X7: $i,X4: $i,X5: $i] :
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $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 )
& ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X7 )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f949]) ).
thf(f949,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $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 )
& ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f948]) ).
thf(f948,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $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 )
& ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X6 @ mactual ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f947]) ).
thf(f947,plain,
( ! [X2: $i,X3: $i,X1: $i,X6: $i,X4: $i,X5: $i] :
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $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 )
& ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X6 )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f946]) ).
thf(f946,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $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 )
& ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f945]) ).
thf(f945,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $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 )
& ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X5 @ mactual ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f944]) ).
thf(f944,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $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 )
& ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X5 ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f943]) ).
thf(f943,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $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 )
& ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f942]) ).
thf(f942,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $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 )
& ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X4 @ mactual ) ) )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f941]) ).
thf(f941,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $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 @ 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X4 )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f940]) ).
thf(f940,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $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 @ 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ 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)],[f939]) ).
thf(f939,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $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 @ 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X3 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f938]) ).
thf(f938,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X3 )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f887]) ).
thf(f887,plain,
( ! [X2: $i,X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f886]) ).
thf(f886,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X2 @ mactual ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f885]) ).
thf(f885,plain,
( ! [X2: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X2 )
= $false ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f783]) ).
thf(f783,plain,
( ! [X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f782]) ).
thf(f782,plain,
( ! [X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X1 @ mactual ) )
= $false )
| ~ spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f781]) ).
thf(f781,plain,
( ! [X1: $i] :
( $false
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X1 ) )
| ~ spl0_1 ),
inference(pi_clausification,[status(thm)],[f221]) ).
thf(f221,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ~ spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f219]) ).
thf(f937,plain,
( spl0_2
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[status(thm)],[f936]) ).
thf(f936,plain,
( $false
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f935]) ).
thf(f935,plain,
( ( $true = $false )
| spl0_2
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f806,f934]) ).
thf(f934,plain,
( ( $false
= ( eiw_di @ sK17 @ mactual ) )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f933]) ).
thf(f933,plain,
( ( $true = $false )
| ( $false
= ( eiw_di @ sK17 @ mactual ) )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f932,f851]) ).
thf(f851,plain,
( ( ( car @ sK17 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f848]) ).
thf(f932,plain,
( ( ( car @ sK17 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK17 @ mactual ) )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f931]) ).
thf(f931,plain,
( ( $false
= ( eiw_di @ sK17 @ mactual ) )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f930,f853]) ).
thf(f853,plain,
( ( $true
= ( white @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f850]) ).
thf(f930,plain,
( ( $false
= ( eiw_di @ sK17 @ mactual ) )
| ( $false
= ( white @ sK17 @ mactual ) )
| ( ( car @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f929]) ).
thf(f929,plain,
( ( $true = $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $false
= ( white @ sK17 @ mactual ) )
| ( $false
= ( eiw_di @ sK17 @ mactual ) )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f928,f855]) ).
thf(f855,plain,
( ( $true
= ( dirty @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f852]) ).
thf(f928,plain,
( ( $false
= ( eiw_di @ sK17 @ mactual ) )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $false
= ( white @ sK17 @ mactual ) )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f927]) ).
thf(f927,plain,
( ( $false
= ( white @ sK17 @ mactual ) )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK17 @ mactual ) )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $true = $false )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f926,f857]) ).
thf(f857,plain,
( ( ( old @ sK17 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f854]) ).
thf(f926,plain,
( ( ( old @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( $false
= ( white @ sK17 @ mactual ) )
| ( $false
= ( eiw_di @ sK17 @ mactual ) )
| ( ( car @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f925]) ).
thf(f925,plain,
( ( $false
= ( eiw_di @ sK17 @ mactual ) )
| ( $true = $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( $false
= ( white @ sK17 @ mactual ) )
| ( ( car @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f924,f849]) ).
thf(f849,plain,
( ( $true
= ( chevy @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f846]) ).
thf(f924,plain,
( ( ( chevy @ sK17 @ mactual )
= $false )
| ( ( dirty @ sK17 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK17 @ mactual ) )
| ( ( old @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $false
= ( white @ sK17 @ mactual ) )
| spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[status(thm)],[f921]) ).
thf(f921,plain,
( ( ( dirty @ sK17 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK17 @ mactual ) )
| ( $true = $false )
| ( ( old @ sK17 @ mactual )
= $false )
| ( ( car @ sK17 @ mactual )
= $false )
| ( $false
= ( white @ sK17 @ mactual ) )
| ( ( chevy @ sK17 @ mactual )
= $false )
| spl0_2
| ~ spl0_12 ),
inference(superposition,[status(thm)],[f642,f859]) ).
thf(f859,plain,
( ( ( barrel @ sK15 @ sK17 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f856]) ).
thf(f642,plain,
( ! [X1: $i] :
( ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false ) )
| ~ spl0_12 ),
inference(avatar_component_clause,[status(thm)],[f641]) ).
thf(f641,definition,
( spl0_12
<=> ! [X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition]) ).
thf(f806,plain,
( ( $true
= ( eiw_di @ sK17 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f805]) ).
thf(f915,plain,
( spl0_12
| spl0_11
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f914,f403,f223,f638,f641]) ).
thf(f638,definition,
( spl0_11
<=> ! [X0: $i] :
( ( $false
= ( city @ X0 @ mactual ) )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition]) ).
thf(f914,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( city @ X0 @ mactual ) )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f913]) ).
thf(f913,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( $true = $false )
| ( ( white @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f912,f845]) ).
thf(f845,plain,
( ( $true
= ( way @ sK16 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f842]) ).
thf(f912,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f911]) ).
thf(f911,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( city @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f910,f843]) ).
thf(f843,plain,
( ( ( street @ sK16 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f840]) ).
thf(f910,plain,
( ! [X0: $i,X1: $i] :
( ( ( chevy @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f909]) ).
thf(f909,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( $true = $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f908,f847]) ).
thf(f847,plain,
( ( ( lonely @ sK16 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f844]) ).
thf(f908,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f907]) ).
thf(f907,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( in @ sK15 @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f906,f802]) ).
thf(f802,plain,
( ( $true
= ( eiw_di @ sK16 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f801]) ).
thf(f906,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( eiw_di @ sK16 @ mactual ) )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f905]) ).
thf(f905,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK16 @ mactual ) )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f904,f841]) ).
thf(f841,plain,
( ( ( event @ sK15 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f838]) ).
thf(f904,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK16 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X0 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f903]) ).
thf(f903,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK16 @ mactual ) )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f891,f798]) ).
thf(f798,plain,
( ( ( eiw_di @ sK15 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f797]) ).
thf(f891,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK16 @ mactual ) )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( old @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( ( event @ sK15 @ mactual )
= $false ) )
| spl0_2
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f888]) ).
thf(f888,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( dirty @ X1 @ mactual )
= $false )
| ( ( lonely @ sK16 @ mactual )
= $false )
| ( ( event @ sK15 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( way @ sK16 @ mactual )
= $false )
| ( ( old @ X1 @ mactual )
= $false )
| ( ( street @ sK16 @ mactual )
= $false )
| ( ( car @ X1 @ mactual )
= $false )
| ( ( white @ X1 @ mactual )
= $false )
| ( ( chevy @ X1 @ mactual )
= $false )
| ( $false
= ( barrel @ sK15 @ X1 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK15 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) )
| ( $true = $false )
| ( $false
= ( eiw_di @ sK16 @ mactual ) ) )
| spl0_2
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f861,f404]) ).
thf(f404,plain,
( ! [X3: $i,X6: $i,X4: $i,X5: $i] :
( ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false ) )
| ~ spl0_5 ),
inference(avatar_component_clause,[status(thm)],[f403]) ).
thf(f861,plain,
( ( ( down @ sK15 @ sK16 @ mactual )
= $true )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f858]) ).
thf(f902,plain,
( spl0_2
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[status(thm)],[f901]) ).
thf(f901,plain,
( $false
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f900]) ).
thf(f900,plain,
( ( $true = $false )
| spl0_2
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f837,f899]) ).
thf(f899,plain,
( ( $false
= ( hollywood @ sK14 @ mactual ) )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f898]) ).
thf(f898,plain,
( ( $false
= ( hollywood @ sK14 @ mactual ) )
| ( $true = $false )
| spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f897,f794]) ).
thf(f794,plain,
( ( $true
= ( eiw_di @ sK14 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f793]) ).
thf(f897,plain,
( ( $false
= ( hollywood @ sK14 @ mactual ) )
| ( ( eiw_di @ sK14 @ mactual )
= $false )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f896]) ).
thf(f896,plain,
( ( ( eiw_di @ sK14 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( hollywood @ sK14 @ mactual ) )
| spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[status(thm)],[f895,f839]) ).
thf(f839,plain,
( ( $true
= ( city @ sK14 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f836]) ).
thf(f895,plain,
( ( $false
= ( city @ sK14 @ mactual ) )
| ( $false
= ( hollywood @ sK14 @ mactual ) )
| ( ( eiw_di @ sK14 @ mactual )
= $false )
| spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[status(thm)],[f892]) ).
thf(f892,plain,
( ( $false
= ( hollywood @ sK14 @ mactual ) )
| ( ( eiw_di @ sK14 @ mactual )
= $false )
| ( $false
= ( city @ sK14 @ mactual ) )
| ( $true = $false )
| spl0_2
| ~ spl0_11 ),
inference(superposition,[status(thm)],[f863,f639]) ).
thf(f639,plain,
( ! [X0: $i] :
( ( ( in @ sK15 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( hollywood @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X0 @ mactual ) ) )
| ~ spl0_11 ),
inference(avatar_component_clause,[status(thm)],[f638]) ).
thf(f863,plain,
( ( $true
= ( in @ sK15 @ sK14 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f860]) ).
thf(f837,plain,
( ( $true
= ( hollywood @ sK14 @ mactual ) )
| spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f834]) ).
thf(f779,plain,
( spl0_1
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[status(thm)],[f778]) ).
thf(f778,plain,
( $false
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f777]) ).
thf(f777,plain,
( ( $true = $false )
| spl0_1
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f714,f776]) ).
thf(f776,plain,
( ( ( hollywood @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f775]) ).
thf(f775,plain,
( ( $true = $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f774,f671]) ).
thf(f671,plain,
( ( $true
= ( eiw_di @ sK4 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f670]) ).
thf(f670,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK4 @ mactual ) )
= $true )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f669]) ).
thf(f669,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK4 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f668]) ).
thf(f668,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f666]) ).
thf(f666,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK3 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f665]) ).
thf(f665,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK3 )
= $true )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f664]) ).
thf(f664,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f662]) ).
thf(f662,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK2 @ mactual ) )
= $true )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f661]) ).
thf(f661,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK2 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f220]) ).
thf(f774,plain,
( ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f773]) ).
thf(f773,plain,
( ( $true = $false )
| ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f772,f716]) ).
thf(f716,plain,
( ( ( city @ sK4 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f713]) ).
thf(f713,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f711]) ).
thf(f711,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)],[f709]) ).
thf(f709,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)],[f707]) ).
thf(f707,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)],[f705]) ).
thf(f705,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)],[f703]) ).
thf(f703,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)],[f701]) ).
thf(f701,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)],[f700]) ).
thf(f700,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f698]) ).
thf(f698,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 )
& ( eiw_di @ sK11 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f697]) ).
thf(f697,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) )
@ sK11 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f696]) ).
thf(f696,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f694]) ).
thf(f694,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK10 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f693]) ).
thf(f693,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK10 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f692]) ).
thf(f692,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f690]) ).
thf(f690,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK9 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f689]) ).
thf(f689,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK9 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f688]) ).
thf(f688,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f686]) ).
thf(f686,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK8 @ mactual ) )
= $true )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f685]) ).
thf(f685,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK8 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f684]) ).
thf(f684,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f682]) ).
thf(f682,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK7 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f681]) ).
thf(f681,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK7 )
= $true )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f680]) ).
thf(f680,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f678]) ).
thf(f678,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK6 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f677]) ).
thf(f677,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK6 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f676]) ).
thf(f676,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f674]) ).
thf(f674,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK5 @ mactual ) ) )
| spl0_1 ),
inference(beta_eta_normalization,[status(thm)],[f673]) ).
thf(f673,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK5 ) )
| spl0_1 ),
inference(sigma_clausification,[status(thm)],[f672]) ).
thf(f672,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f670]) ).
thf(f772,plain,
( ( ( city @ sK4 @ mactual )
= $false )
| ( ( eiw_di @ sK4 @ mactual )
= $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[status(thm)],[f770]) ).
thf(f770,plain,
( ( $true = $false )
| ( ( hollywood @ sK4 @ mactual )
= $false )
| ( ( city @ sK4 @ mactual )
= $false )
| ( ( eiw_di @ sK4 @ mactual )
= $false )
| spl0_1
| ~ spl0_8 ),
inference(superposition,[status(thm)],[f430,f740]) ).
thf(f740,plain,
( ( $true
= ( in @ sK5 @ sK4 @ mactual ) )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f737]) ).
thf(f737,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)],[f735]) ).
thf(f735,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)],[f733]) ).
thf(f733,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f731]) ).
thf(f731,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)],[f729]) ).
thf(f729,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f727]) ).
thf(f727,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)],[f725]) ).
thf(f725,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)],[f723]) ).
thf(f723,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)],[f721]) ).
thf(f721,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)],[f719]) ).
thf(f719,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f717]) ).
thf(f717,plain,
( ( ( ( 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 ) )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f715]) ).
thf(f715,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)],[f713]) ).
thf(f430,plain,
( ! [X1: $i] :
( ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) ) )
| ~ spl0_8 ),
inference(avatar_component_clause,[status(thm)],[f429]) ).
thf(f429,definition,
( spl0_8
<=> ! [X1: $i] :
( ( $false
= ( city @ X1 @ mactual ) )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false ) ) ),
introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition]) ).
thf(f714,plain,
( ( ( hollywood @ sK4 @ mactual )
= $true )
| spl0_1 ),
inference(binary_proxy_clausification,[status(thm)],[f711]) ).
thf(f660,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[status(thm)],[f659]) ).
thf(f659,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(trivial_inequality_removal,[status(thm)],[f658]) ).
thf(f658,plain,
( ( $true = $false )
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f230,f221]) ).
thf(f230,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(avatar_component_clause,[status(thm)],[f228]) ).
thf(f228,definition,
( spl0_3
<=> ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition]) ).
thf(f513,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[status(thm)],[f512]) ).
thf(f512,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(trivial_inequality_removal,[status(thm)],[f511]) ).
thf(f511,plain,
( ( $true = $false )
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[status(thm)],[f237,f225]) ).
thf(f225,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ~ spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f223]) ).
thf(f237,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_4 ),
inference(avatar_component_clause,[status(thm)],[f235]) ).
thf(f235,definition,
( spl0_4
<=> ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition]) ).
thf(f509,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[status(thm)],[f508]) ).
thf(f508,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f507]) ).
thf(f507,plain,
( ( $true = $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f264,f506]) ).
thf(f506,plain,
( ( ( eiw_di @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f505]) ).
thf(f505,plain,
( ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f504,f307]) ).
thf(f307,plain,
( ( $true
= ( car @ sK6 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f304]) ).
thf(f304,plain,
( ( ( ( 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 ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f302]) ).
thf(f302,plain,
( ( ( ( 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 ) )
= $true )
| ~ spl0_3 ),
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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f298]) ).
thf(f298,plain,
( ( ( ( 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 ) )
= $true )
| ~ spl0_3 ),
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_3 ),
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_3 ),
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_3 ),
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_3 ),
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_3 ),
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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f285]) ).
thf(f285,plain,
( ( ( ( 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 ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f283]) ).
thf(f283,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 )
& ( eiw_di @ sK11 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f282]) ).
thf(f282,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) )
@ sK11 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f281]) ).
thf(f281,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f279]) ).
thf(f279,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( 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 )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK10 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f278]) ).
thf(f278,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK10 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f277]) ).
thf(f277,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f275]) ).
thf(f275,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( 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 )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK9 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f274]) ).
thf(f274,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK9 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f273]) ).
thf(f273,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f271]) ).
thf(f271,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK8 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f270]) ).
thf(f270,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK8 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f269]) ).
thf(f269,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f267]) ).
thf(f267,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK7 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f266]) ).
thf(f266,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK7 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f265]) ).
thf(f265,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f263]) ).
thf(f263,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK6 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f262]) ).
thf(f262,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK6 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f261]) ).
thf(f261,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f259]) ).
thf(f259,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK5 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f258]) ).
thf(f258,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK5 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f257]) ).
thf(f257,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f255]) ).
thf(f255,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( 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 )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK4 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f254]) ).
thf(f254,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK4 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f253]) ).
thf(f253,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f251]) ).
thf(f251,plain,
( ( $true
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK3 @ mactual ) ) )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f250]) ).
thf(f250,plain,
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK3 )
= $true )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f249]) ).
thf(f249,plain,
( ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f247]) ).
thf(f247,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ sK2 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(beta_eta_normalization,[status(thm)],[f246]) ).
thf(f246,plain,
( ( $true
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ sK2 ) )
| ~ spl0_3 ),
inference(sigma_clausification,[status(thm)],[f230]) ).
thf(f504,plain,
( ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f503]) ).
thf(f503,plain,
( ( $true = $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f502,f311]) ).
thf(f311,plain,
( ( $true
= ( dirty @ sK6 @ mactual ) )
| ~ spl0_3 ),
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_3 ),
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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f304]) ).
thf(f502,plain,
( ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f501]) ).
thf(f501,plain,
( ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f500,f313]) ).
thf(f313,plain,
( ( $true
= ( old @ sK6 @ mactual ) )
| ~ spl0_3 ),
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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f308]) ).
thf(f500,plain,
( ( ( old @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f499]) ).
thf(f499,plain,
( ( ( dirty @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f498,f305]) ).
thf(f305,plain,
( ( ( chevy @ sK6 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f302]) ).
thf(f498,plain,
( ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f497]) ).
thf(f497,plain,
( ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f496,f309]) ).
thf(f309,plain,
( ( $true
= ( white @ sK6 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f306]) ).
thf(f496,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(trivial_inequality_removal,[status(thm)],[f494]) ).
thf(f494,plain,
( ( ( white @ sK6 @ mactual )
= $false )
| ( ( dirty @ sK6 @ mactual )
= $false )
| ( ( car @ sK6 @ mactual )
= $false )
| ( ( eiw_di @ sK6 @ mactual )
= $false )
| ( ( old @ sK6 @ mactual )
= $false )
| ( $true = $false )
| ( ( chevy @ sK6 @ mactual )
= $false )
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[status(thm)],[f321,f427]) ).
thf(f427,plain,
( ! [X0: $i] :
( ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false ) )
| ~ spl0_7 ),
inference(avatar_component_clause,[status(thm)],[f426]) ).
thf(f426,definition,
( spl0_7
<=> ! [X0: $i] :
( ( ( dirty @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) ) ) ),
introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition]) ).
thf(f321,plain,
( ( ( barrel @ sK5 @ sK6 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f318]) ).
thf(f318,plain,
( ( ( ( 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 ) )
= $true )
| ~ spl0_3 ),
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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f314]) ).
thf(f314,plain,
( ( ( ( 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 ) )
= $true )
| ~ spl0_3 ),
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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f310]) ).
thf(f264,plain,
( ( ( eiw_di @ sK6 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f263]) ).
thf(f492,plain,
( spl0_10
| spl0_9
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[status(thm)],[f491,f406,f228,f470,f473]) ).
thf(f491,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f490]) ).
thf(f490,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $true = $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f489,f272]) ).
thf(f272,plain,
( ( ( eiw_di @ sK8 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f271]) ).
thf(f489,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f488]) ).
thf(f488,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f487,f331]) ).
thf(f331,plain,
( ( $true
= ( man @ sK8 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f328]) ).
thf(f328,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_3 ),
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_3 ),
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_3 ),
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_3 ),
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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f318]) ).
thf(f487,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f486]) ).
thf(f486,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f485,f339]) ).
thf(f339,plain,
( ( ( young @ sK9 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f336]) ).
thf(f336,plain,
( ( ( ( young @ sK9 @ mactual )
& ( qmltpeq @ sK8 @ sK10 @ mactual )
& ( in @ sK10 @ sK2 @ mactual )
& ( qmltpeq @ sK9 @ sK11 @ mactual )
& ( in @ sK11 @ sK3 @ mactual ) )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f334]) ).
thf(f334,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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f332]) ).
thf(f332,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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f330]) ).
thf(f330,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_3 ),
inference(binary_proxy_clausification,[status(thm)],[f328]) ).
thf(f485,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( seat @ X3 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f484]) ).
thf(f484,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f483,f337]) ).
thf(f337,plain,
( ( $true
= ( man @ sK9 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f334]) ).
thf(f483,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( $false
= ( man @ sK9 @ mactual ) )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f482]) ).
thf(f482,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( $false
= ( man @ sK9 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f481,f335]) ).
thf(f335,plain,
( ( $true
= ( fellow @ sK9 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f332]) ).
thf(f481,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ sK9 @ mactual ) )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( man @ sK9 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f480]) ).
thf(f480,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ sK9 @ mactual ) )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $true = $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( young @ sK9 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( front @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( $false
= ( man @ sK9 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f479,f329]) ).
thf(f329,plain,
( ( $true
= ( fellow @ sK8 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f326]) ).
thf(f479,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( seat @ X3 @ mactual ) )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ sK8 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ sK9 @ mactual ) )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( man @ sK9 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f478]) ).
thf(f478,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( man @ sK9 @ mactual ) )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( fellow @ sK8 @ mactual ) )
| ( $true = $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( $false
= ( fellow @ sK9 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( $false
= ( front @ X0 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f477,f276]) ).
thf(f276,plain,
( ( $true
= ( eiw_di @ sK9 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f275]) ).
thf(f477,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( $false
= ( man @ sK9 @ mactual ) )
| ( ( front @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ sK9 @ mactual ) )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( $false
= ( fellow @ sK8 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f476]) ).
thf(f476,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ sK9 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ sK8 @ mactual ) )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( $false
= ( man @ sK9 @ mactual ) )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( $true = $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ sK9 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f449,f333]) ).
thf(f333,plain,
( ( $true
= ( young @ sK8 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f330]) ).
thf(f449,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( front @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( front @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( fellow @ sK8 @ mactual ) )
| ( $false
= ( man @ sK9 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ sK9 @ mactual ) )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(trivial_inequality_removal,[status(thm)],[f445]) ).
thf(f445,plain,
( ! [X2: $i,X3: $i,X0: $i,X1: $i] :
( ( $false
= ( fellow @ sK8 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( qmltpeq @ sK8 @ X1 @ mactual )
= $false )
| ( ( in @ X1 @ X0 @ mactual )
= $false )
| ( ( in @ X2 @ X3 @ mactual )
= $false )
| ( ( young @ sK8 @ mactual )
= $false )
| ( ( young @ sK9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( furniture @ X0 @ mactual ) )
| ( ( eiw_di @ sK8 @ mactual )
= $false )
| ( $true = $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( fellow @ sK9 @ mactual ) )
| ( ( qmltpeq @ sK9 @ X2 @ mactual )
= $false )
| ( $false
= ( man @ sK9 @ mactual ) )
| ( ( furniture @ X3 @ mactual )
= $false )
| ( $false
= ( man @ sK8 @ mactual ) )
| ( ( eiw_di @ sK9 @ mactual )
= $false )
| ( $false
= ( front @ X0 @ mactual ) )
| ( ( seat @ X0 @ mactual )
= $false )
| ( $false
= ( seat @ X3 @ mactual ) )
| ( ( front @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[status(thm)],[f407,f346]) ).
thf(f346,plain,
( ( $false
= ( qmltpeq @ sK8 @ sK9 @ mactual ) )
| ~ spl0_3 ),
inference(not_proxy_clausification,[status(thm)],[f327]) ).
thf(f327,plain,
( ( $true
= ( ~ ( qmltpeq @ sK8 @ sK9 @ mactual ) ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f324]) ).
thf(f444,plain,
( spl0_7
| spl0_8
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[status(thm)],[f443,f403,f228,f429,f426]) ).
thf(f443,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f442]) ).
thf(f442,plain,
( ! [X0: $i,X1: $i] :
( ( $false
= ( old @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( $true = $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f441,f303]) ).
thf(f303,plain,
( ( ( event @ sK5 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f300]) ).
thf(f441,plain,
( ! [X0: $i,X1: $i] :
( ( ( chevy @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( white @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f440]) ).
thf(f440,plain,
( ! [X0: $i,X1: $i] :
( ( ( car @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( $true = $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f439,f315]) ).
thf(f315,plain,
( ( ( street @ sK7 @ mactual )
= $true )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f312]) ).
thf(f439,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( chevy @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f438]) ).
thf(f438,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( $true = $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f437,f260]) ).
thf(f260,plain,
( ( $true
= ( eiw_di @ sK5 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f259]) ).
thf(f437,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f436]) ).
thf(f436,plain,
( ! [X0: $i,X1: $i] :
( ( ( car @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f435,f319]) ).
thf(f319,plain,
( ( $true
= ( lonely @ sK7 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f316]) ).
thf(f435,plain,
( ! [X0: $i,X1: $i] :
( ( ( car @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( event @ sK5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f434]) ).
thf(f434,plain,
( ! [X0: $i,X1: $i] :
( ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $true = $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f433,f317]) ).
thf(f317,plain,
( ( $true
= ( way @ sK7 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f314]) ).
thf(f433,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK5 @ mactual ) ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f432]) ).
thf(f432,plain,
( ! [X0: $i,X1: $i] :
( ( $true = $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f411,f268]) ).
thf(f268,plain,
( ( $true
= ( eiw_di @ sK7 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f267]) ).
thf(f411,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ sK7 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( $false
= ( city @ X1 @ mactual ) )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( event @ sK5 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(trivial_inequality_removal,[status(thm)],[f410]) ).
thf(f410,plain,
( ! [X0: $i,X1: $i] :
( ( ( eiw_di @ X0 @ mactual )
= $false )
| ( ( chevy @ X0 @ mactual )
= $false )
| ( ( lonely @ sK7 @ mactual )
= $false )
| ( ( dirty @ X0 @ mactual )
= $false )
| ( $true = $false )
| ( $false
= ( city @ X1 @ mactual ) )
| ( $false
= ( eiw_di @ sK5 @ mactual ) )
| ( ( car @ X0 @ mactual )
= $false )
| ( ( barrel @ sK5 @ X0 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( way @ sK7 @ mactual )
= $false )
| ( ( in @ sK5 @ X1 @ mactual )
= $false )
| ( $false
= ( old @ X0 @ mactual ) )
| ( ( event @ sK5 @ mactual )
= $false )
| ( ( hollywood @ X1 @ mactual )
= $false )
| ( ( street @ sK7 @ mactual )
= $false )
| ( ( white @ X0 @ mactual )
= $false )
| ( ( eiw_di @ sK7 @ mactual )
= $false ) )
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[status(thm)],[f323,f404]) ).
thf(f323,plain,
( ( $true
= ( down @ sK5 @ sK7 @ mactual ) )
| ~ spl0_3 ),
inference(binary_proxy_clausification,[status(thm)],[f320]) ).
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] :
( ( $false
= ( in @ X10 @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( qmltpeq @ X8 @ X10 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( car @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( in @ X4 @ X3 @ 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] :
( ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( in @ X9 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( street @ X5 @ 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] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $false
= ( ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) ) )
| ( ( young @ X8 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( qmltpeq @ X7 @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) ) )
| ~ 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] :
( ( ( young @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false ) )
| ~ 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] :
( ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( street @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) ) )
| ( ( man @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( dirty @ X6 @ 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] :
( ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( ( man @ X8 @ mactual )
& ( young @ X8 @ mactual )
& ( qmltpeq @ X7 @ X9 @ mactual )
& ( in @ X9 @ X1 @ mactual )
& ( qmltpeq @ X8 @ X10 @ mactual )
& ( in @ X10 @ X2 @ mactual ) ) )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( fellow @ X8 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( fellow @ 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] :
( ( $false
= ( old @ X6 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( man @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( fellow @ X7 @ 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 )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( young @ X7 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( street @ X5 @ 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] :
( ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( man @ X7 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( fellow @ X7 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ 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 @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_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] :
( ( ( fellow @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ 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 )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) ) )
| ~ 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] :
( ( $false
= ( old @ X6 @ mactual ) )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( $true
= ( qmltpeq @ X7 @ X8 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ 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 )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(not_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] :
( ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( ~ ( qmltpeq @ X7 @ X8 @ mactual ) )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ 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 )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ 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] :
( ( ( in @ X4 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( barrel @ X4 @ X6 @ 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 )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ 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] :
( ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( car @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( down @ X4 @ X5 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $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 ) ) ) )
| ~ 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] :
( ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $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 ) ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( $false
= ( old @ X6 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( barrel @ X4 @ X6 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) ) )
| ~ 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] :
( ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X7 @ 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 )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( $false
= ( old @ X6 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( chevy @ X6 @ 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] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( chevy @ X6 @ 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 )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( dirty @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) ) )
| ~ 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] :
( ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( white @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ 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 @ X7 @ 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] :
( ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ 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 )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( car @ X6 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( street @ 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] :
( ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ 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 @ X10 @ mactual ) )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( lonely @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( chevy @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ 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] :
( ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( lonely @ X5 @ 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 )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( street @ X5 @ 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 @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( seat @ 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 @ X6 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( way @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ 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] :
( ( $false
= ( front @ X1 @ 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 )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( street @ X5 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) ) )
| ~ 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] :
( ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( event @ X4 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ 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 )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X3 @ 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] :
( ( ( ( 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 )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( $false
= ( city @ X3 @ mactual ) )
| ( ( front @ X2 @ 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 @ X4 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( hollywood @ X3 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ 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] :
( ( $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 ) ) )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( front @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ 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] :
( ( ( ( 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 )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( furniture @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ 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 @ X5 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( 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 )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( seat @ X2 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) ) )
| ~ 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 @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ( 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 @ X8 @ mactual )
= $false )
| ( $false
= ( front @ X1 @ mactual ) )
| ( ( eiw_di @ X5 @ 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 @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ 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 )
| ( ( furniture @ X1 @ mactual )
= $false )
| ( ( seat @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ 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] :
( ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $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 ) ) )
| ( ( seat @ X1 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ 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] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( $false
= ( eiw_di @ X10 @ mactual ) )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( $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 )
& ( 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 ) ) ) )
| ~ 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 @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $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 )
& ( 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 )
& ( eiw_di @ X10 @ mactual ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ 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 @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ^ [Y0: $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 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( eiw_di @ Y0 @ mactual ) )
@ X10 )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ 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] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $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 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X9 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ 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 @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $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 @ Y0 @ mactual )
& ( in @ Y0 @ X2 @ mactual )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X9 @ mactual ) )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ 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] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $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 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X9 )
= $false )
| ( ( eiw_di @ X2 @ 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] :
( ( ?? @ $i
@ ^ [Y1: $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 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X8 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ 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 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $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 @ Y0 @ mactual )
& ( in @ Y0 @ X1 @ mactual )
& ( qmltpeq @ X8 @ Y1 @ mactual )
& ( in @ Y1 @ X2 @ mactual )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X8 @ mactual ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ 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 @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $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 @ 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X8 )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ 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] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $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 @ 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X7 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ 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 @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ mactual )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $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 @ 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 )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X7 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X6 @ 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] :
( ( $false
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $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 @ 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X7 ) )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ 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] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $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 @ 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X6 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ 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 @ X5 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $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 @ 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 )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X6 @ mactual ) )
= $false )
| ( ( eiw_di @ X4 @ 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] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $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 @ 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X6 )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ 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] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $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 @ 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X5 @ 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 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $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 @ 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 )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X5 @ 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 @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $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 @ 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X5 )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f352]) ).
thf(f352,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $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 @ 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X4 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f351]) ).
thf(f351,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X3 @ mactual )
= $false )
| ( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $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 @ 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 )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X4 @ mactual ) ) )
| ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f350]) ).
thf(f350,plain,
( ! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( eiw_di @ X1 @ mactual )
= $false )
| ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $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 @ 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 @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X4 )
= $false )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X3 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f349]) ).
thf(f349,plain,
( ! [X2: $i,X3: $i,X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $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 @ 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 @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( 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] :
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $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 @ 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 @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X3 @ mactual ) )
= $false )
| ( ( eiw_di @ 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] :
( ( ( eiw_di @ X2 @ mactual )
= $false )
| ( $false
= ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X3 ) )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f245]) ).
thf(f245,plain,
( ! [X2: $i,X1: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ( ( eiw_di @ X2 @ mactual )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f244]) ).
thf(f244,plain,
( ! [X2: $i,X1: $i] :
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( 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 )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X2 @ mactual ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f243]) ).
thf(f243,plain,
( ! [X2: $i,X1: $i] :
( ( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) )
@ X2 )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(pi_clausification,[status(thm)],[f242]) ).
thf(f242,plain,
( ! [X1: $i] :
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( eiw_di @ X1 @ mactual )
= $false ) )
| ~ spl0_2 ),
inference(binary_proxy_clausification,[status(thm)],[f241]) ).
thf(f241,plain,
( ! [X1: $i] :
( $false
= ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( 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 )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
& ( eiw_di @ X1 @ mactual ) ) )
| ~ spl0_2 ),
inference(beta_eta_normalization,[status(thm)],[f240]) ).
thf(f240,plain,
( ! [X1: $i] :
( ( ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ 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] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
| ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f215]) ).
thf(f215,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
= $false )
| ( $true
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f213]) ).
thf(f213,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
= $false )
| ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f212]) ).
thf(f212,plain,
( $false
= ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
& ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f211]) ).
thf(f211,plain,
( $true
= ( ~ ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
& ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) ) ) ) ),
inference(beta_eta_normalization,[status(thm)],[f176]) ).
thf(f176,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] :
( ( Y0 @ Y2 @ Y1 )
& ( eiw_di @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
& ( eiw_di @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
& ( eiw_di @ Y4 @ Y3 ) ) )
@ ^ [Y2: $i] :
( ^ [Y3: $i > mworld > $o,Y4: mworld] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 @ Y4 )
& ( eiw_di @ Y5 @ Y4 ) ) )
@ ^ [Y3: $i] :
( ^ [Y4: $i > mworld > $o,Y5: mworld] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( Y4 @ Y6 @ Y5 )
& ( eiw_di @ Y6 @ Y5 ) ) )
@ ^ [Y4: $i] :
( ^ [Y5: $i > mworld > $o,Y6: mworld] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( Y5 @ Y7 @ Y6 )
& ( eiw_di @ Y7 @ Y6 ) ) )
@ ^ [Y5: $i] :
( ^ [Y6: $i > mworld > $o,Y7: mworld] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( Y6 @ Y8 @ Y7 )
& ( eiw_di @ Y8 @ Y7 ) ) )
@ ^ [Y6: $i] :
( ^ [Y7: $i > mworld > $o,Y8: mworld] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( Y7 @ Y9 @ Y8 )
& ( eiw_di @ Y9 @ Y8 ) ) )
@ ^ [Y7: $i] :
( ^ [Y8: $i > mworld > $o,Y9: mworld] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( Y8 @ Y10 @ Y9 )
& ( eiw_di @ Y10 @ Y9 ) ) )
@ ^ [Y8: $i] :
( ^ [Y9: $i > mworld > $o,Y10: mworld] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( Y9 @ Y11 @ Y10 )
& ( eiw_di @ 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] :
( ( Y0 @ Y2 @ Y1 )
& ( eiw_di @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
& ( eiw_di @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
& ( eiw_di @ Y4 @ Y3 ) ) )
@ ^ [Y2: $i] :
( ^ [Y3: $i > mworld > $o,Y4: mworld] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 @ Y4 )
& ( eiw_di @ Y5 @ Y4 ) ) )
@ ^ [Y3: $i] :
( ^ [Y4: $i > mworld > $o,Y5: mworld] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( Y4 @ Y6 @ Y5 )
& ( eiw_di @ Y6 @ Y5 ) ) )
@ ^ [Y4: $i] :
( ^ [Y5: $i > mworld > $o,Y6: mworld] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( Y5 @ Y7 @ Y6 )
& ( eiw_di @ Y7 @ Y6 ) ) )
@ ^ [Y5: $i] :
( ^ [Y6: $i > mworld > $o,Y7: mworld] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( Y6 @ Y8 @ Y7 )
& ( eiw_di @ Y8 @ Y7 ) ) )
@ ^ [Y6: $i] :
( ^ [Y7: $i > mworld > $o,Y8: mworld] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( Y7 @ Y9 @ Y8 )
& ( eiw_di @ Y9 @ Y8 ) ) )
@ ^ [Y7: $i] :
( ^ [Y8: $i > mworld > $o,Y9: mworld] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( Y8 @ Y10 @ Y9 )
& ( eiw_di @ Y10 @ Y9 ) ) )
@ ^ [Y8: $i] :
( ^ [Y9: $i > mworld > $o,Y10: mworld] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( Y9 @ Y11 @ Y10 )
& ( eiw_di @ 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] :
( ( Y0 @ Y2 @ Y1 )
& ( eiw_di @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
& ( eiw_di @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
& ( eiw_di @ Y4 @ Y3 ) ) )
@ ^ [Y2: $i] :
( ^ [Y3: $i > mworld > $o,Y4: mworld] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 @ Y4 )
& ( eiw_di @ Y5 @ Y4 ) ) )
@ ^ [Y3: $i] :
( ^ [Y4: $i > mworld > $o,Y5: mworld] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( Y4 @ Y6 @ Y5 )
& ( eiw_di @ Y6 @ Y5 ) ) )
@ ^ [Y4: $i] :
( ^ [Y5: $i > mworld > $o,Y6: mworld] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( Y5 @ Y7 @ Y6 )
& ( eiw_di @ Y7 @ Y6 ) ) )
@ ^ [Y5: $i] :
( ^ [Y6: $i > mworld > $o,Y7: mworld] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( Y6 @ Y8 @ Y7 )
& ( eiw_di @ Y8 @ Y7 ) ) )
@ ^ [Y6: $i] :
( ^ [Y7: $i > mworld > $o,Y8: mworld] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( Y7 @ Y9 @ Y8 )
& ( eiw_di @ Y9 @ Y8 ) ) )
@ ^ [Y7: $i] :
( ^ [Y8: $i > mworld > $o,Y9: mworld] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( Y8 @ Y10 @ Y9 )
& ( eiw_di @ Y10 @ Y9 ) ) )
@ ^ [Y8: $i] :
( ^ [Y9: $i > mworld > $o,Y10: mworld] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( Y9 @ Y11 @ Y10 )
& ( eiw_di @ 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] :
( ( Y0 @ Y2 @ Y1 )
& ( eiw_di @ Y2 @ Y1 ) ) )
@ ^ [Y0: $i] :
( ^ [Y1: $i > mworld > $o,Y2: mworld] :
( ?? @ $i
@ ^ [Y3: $i] :
( ( Y1 @ Y3 @ Y2 )
& ( eiw_di @ Y3 @ Y2 ) ) )
@ ^ [Y1: $i] :
( ^ [Y2: $i > mworld > $o,Y3: mworld] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( Y2 @ Y4 @ Y3 )
& ( eiw_di @ Y4 @ Y3 ) ) )
@ ^ [Y2: $i] :
( ^ [Y3: $i > mworld > $o,Y4: mworld] :
( ?? @ $i
@ ^ [Y5: $i] :
( ( Y3 @ Y5 @ Y4 )
& ( eiw_di @ Y5 @ Y4 ) ) )
@ ^ [Y3: $i] :
( ^ [Y4: $i > mworld > $o,Y5: mworld] :
( ?? @ $i
@ ^ [Y6: $i] :
( ( Y4 @ Y6 @ Y5 )
& ( eiw_di @ Y6 @ Y5 ) ) )
@ ^ [Y4: $i] :
( ^ [Y5: $i > mworld > $o,Y6: mworld] :
( ?? @ $i
@ ^ [Y7: $i] :
( ( Y5 @ Y7 @ Y6 )
& ( eiw_di @ Y7 @ Y6 ) ) )
@ ^ [Y5: $i] :
( ^ [Y6: $i > mworld > $o,Y7: mworld] :
( ?? @ $i
@ ^ [Y8: $i] :
( ( Y6 @ Y8 @ Y7 )
& ( eiw_di @ Y8 @ Y7 ) ) )
@ ^ [Y6: $i] :
( ^ [Y7: $i > mworld > $o,Y8: mworld] :
( ?? @ $i
@ ^ [Y9: $i] :
( ( Y7 @ Y9 @ Y8 )
& ( eiw_di @ Y9 @ Y8 ) ) )
@ ^ [Y7: $i] :
( ^ [Y8: $i > mworld > $o,Y9: mworld] :
( ?? @ $i
@ ^ [Y10: $i] :
( ( Y8 @ Y10 @ Y9 )
& ( eiw_di @ Y10 @ Y9 ) ) )
@ ^ [Y8: $i] :
( ^ [Y9: $i > mworld > $o,Y10: mworld] :
( ?? @ $i
@ ^ [Y11: $i] :
( ( Y9 @ Y11 @ Y10 )
& ( eiw_di @ 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)],[f144,f129,f146,f135,f136,f136,f136,f136,f136,f136,f136,f136,f136,f136,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f139,f146,f146,f146,f146,f146,f146,f146,f146,f146,f136,f136,f136,f136,f136,f136,f136,f136,f136,f136,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f139,f146,f146,f146,f146,f146,f146,f146,f146,f146,f135,f136,f136,f136,f136,f136,f136,f136,f136,f136,f136,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f139,f146,f146,f146,f146,f146,f146,f146,f146,f146,f136,f136,f136,f136,f136,f136,f136,f136,f136,f136,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f139,f146,f146,f146,f146,f146,f146,f146,f146,f146]) ).
thf(f139,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[status(thm)],[f84]) ).
thf(f84,plain,
( mnot
= ( ^ [Y0: mworld > $o,Y1: mworld] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[status(thm)],[f83]) ).
thf(f83,plain,
( ( ^ [X0: mworld > $o,X1: mworld] :
~ ( X0 @ X1 ) )
= mnot ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,axiom,
( ( ^ [X1: mworld > $o,X2: mworld] :
~ ( X1 @ X2 ) )
= mnot ),
file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mnot_def) ).
thf(f136,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
& ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
thf(f51,plain,
( mexists_di
= ( ^ [Y0: $i > mworld > $o,Y1: mworld] :
( ?? @ $i
@ ^ [Y2: $i] :
( ( Y0 @ Y2 @ Y1 )
& ( eiw_di @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f50]) ).
thf(f50,plain,
( ( ^ [X0: $i > mworld > $o,X1: mworld] :
? [X2: $i] :
( ( eiw_di @ X2 @ X1 )
& ( X0 @ X2 @ X1 ) ) )
= mexists_di ),
inference(rectify,[status(thm)],[f12]) ).
thf(f12,axiom,
( ( ^ [X1: $i > mworld > $o,X2: mworld] :
? [X5: $i] :
( ( eiw_di @ X5 @ X2 )
& ( X1 @ X5 @ X2 ) ) )
= mexists_di ),
file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mexists_di_def) ).
thf(f135,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
thf(f80,plain,
( mimplies
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
=> ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f79]) ).
thf(f79,plain,
( ( ^ [X0: mworld > $o,X1: mworld > $o,X2: mworld] :
( ( X0 @ X2 )
=> ( X1 @ X2 ) ) )
= mimplies ),
inference(rectify,[status(thm)],[f5]) ).
thf(f5,axiom,
( ( ^ [X1: mworld > $o,X3: mworld > $o,X2: mworld] :
( ( X1 @ X2 )
=> ( X3 @ X2 ) ) )
= mimplies ),
file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mimplies_def) ).
thf(f146,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
thf(f82,plain,
( mand
= ( ^ [Y0: mworld > $o,Y1: mworld > $o,Y2: mworld] :
( ( Y0 @ Y2 )
& ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[status(thm)],[f81]) ).
thf(f81,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.fppzKqLbnn/DTF2THF_7654.p',mand_def) ).
thf(f129,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
thf(f72,plain,
( mlocal
= ( ^ [Y0: mworld > $o] : ( Y0 @ mactual ) ) ),
inference(fool_elimination,[status(thm)],[f1]) ).
thf(f1,axiom,
( mlocal
= ( ^ [X0: mworld > $o] : ( X0 @ mactual ) ) ),
file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mlocal_def) ).
thf(f144,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)],[f71]) ).
thf(f71,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)],[f70]) ).
thf(f70,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.fppzKqLbnn/DTF2THF_7654.p',co1) ).
thf(f226,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f216,f223,f219]) ).
thf(f216,plain,
( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f214]) ).
thf(f214,plain,
( ( ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
=> ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) ) )
= $false )
| ( ( ?? @ $i
@ ^ [Y0: $i] :
( ( ?? @ $i
@ ^ [Y1: $i] :
( ( ?? @ $i
@ ^ [Y2: $i] :
( ( ?? @ $i
@ ^ [Y3: $i] :
( ( ?? @ $i
@ ^ [Y4: $i] :
( ( ?? @ $i
@ ^ [Y5: $i] :
( ( ?? @ $i
@ ^ [Y6: $i] :
( ( ?? @ $i
@ ^ [Y7: $i] :
( ( ?? @ $i
@ ^ [Y8: $i] :
( ( ?? @ $i
@ ^ [Y9: $i] :
( ( 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 )
& ( eiw_di @ Y9 @ mactual ) ) )
& ( eiw_di @ Y8 @ mactual ) ) )
& ( eiw_di @ Y7 @ mactual ) ) )
& ( eiw_di @ Y6 @ mactual ) ) )
& ( eiw_di @ Y5 @ mactual ) ) )
& ( eiw_di @ Y4 @ mactual ) ) )
& ( eiw_di @ Y3 @ mactual ) ) )
& ( eiw_di @ Y2 @ mactual ) ) )
& ( eiw_di @ Y1 @ mactual ) ) )
& ( eiw_di @ Y0 @ mactual ) ) )
= $false ) ),
inference(binary_proxy_clausification,[status(thm)],[f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP004^13 : TPTP v9.2.1. Released v8.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n010.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 10:43:18 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.32/0.48 ---- Original DTF file ---
% 0.32/0.49 thf(spec,logic,$$dhol).
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 % File : NLP004^13 : TPTP v9.2.1. Released v8.1.0.
% 0.32/0.49 % Domain : Natural Language Processing
% 0.32/0.49 % Problem : "The old dirty white Chevy" problem 4
% 0.32/0.49 % Version : [BP13] axioms.
% 0.32/0.49 % English :
% 0.32/0.49
% 0.32/0.49 % Refs : [RO12] Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.32/0.49 % : [BP13] Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.32/0.49 % : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.32/0.49 % Source : [TPTP]
% 0.32/0.49 % Names : NLP004+1 [QMLTP]
% 0.32/0.49
% 0.32/0.49 % Status : Theorem
% 0.32/0.49 % Rating : 0.56 v9.1.0, 0.50 v9.0.0, 0.60 v8.2.0, 0.62 v8.1.0
% 0.32/0.49 % Syntax : Number of formulae : 74 ( 11 unt; 35 typ; 10 def)
% 0.32/0.49 % Number of atoms : 528 ( 10 equ; 0 cnn)
% 0.32/0.49 % Maximal formula atoms : 292 ( 13 avg)
% 0.32/0.49 % Number of connectives : 788 ( 1 ~; 1 |; 4 &; 777 @)
% 0.32/0.49 % ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% 0.32/0.49 % Maximal formula depth : 59 ( 10 avg)
% 0.32/0.49 % Number of types : 3 ( 1 usr)
% 0.32/0.49 % Number of type conns : 105 ( 105 >; 0 *; 0 +; 0 <<)
% 0.32/0.49 % Number of symbols : 35 ( 34 usr; 1 con; 0-3 aty)
% 0.32/0.49 % Number of variables : 130 ( 121 ^; 6 !; 3 ?; 130 :)
% 0.32/0.49 % SPC : TH0_THM_EQU_NAR
% 0.32/0.49
% 0.32/0.49 % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.32/0.49 % version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.32/0.49 % 'modal' embedding, version 1.5.2. Logic specification used:
% 0.32/0.49 % $modal == [$constants == $rigid,$quantification == $cumulative,
% 0.32/0.49 % $modalities == $modal_system_K].
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 thf(mworld,type,
% 0.32/0.49 mworld: $tType ).
% 0.32/0.49
% 0.32/0.49 thf(mrel_type,type,
% 0.32/0.49 mrel: mworld > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mactual_type,type,
% 0.32/0.49 mactual: mworld ).
% 0.32/0.49
% 0.32/0.49 thf(mlocal_type,type,
% 0.32/0.49 mlocal: ( mworld > $o ) > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mlocal_def,definition,
% 0.32/0.49 ( mlocal
% 0.32/0.49 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mnot_type,type,
% 0.32/0.49 mnot: ( mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mand_type,type,
% 0.32/0.49 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mor_type,type,
% 0.32/0.49 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mimplies_type,type,
% 0.32/0.49 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mequiv_type,type,
% 0.32/0.49 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mnot_def,definition,
% 0.32/0.49 ( mnot
% 0.32/0.49 = ( ^ [A: mworld > $o,W: mworld] :
% 0.32/0.49 ~ ( A @ W ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mand_def,definition,
% 0.32/0.49 ( mand
% 0.32/0.49 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.32/0.49 ( ( A @ W )
% 0.32/0.49 & ( B @ W ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mor_def,definition,
% 0.32/0.49 ( mor
% 0.32/0.49 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.32/0.49 ( ( A @ W )
% 0.32/0.49 | ( B @ W ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mimplies_def,definition,
% 0.32/0.49 ( mimplies
% 0.32/0.49 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.32/0.49 ( ( A @ W )
% 0.32/0.49 => ( B @ W ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mequiv_def,definition,
% 0.32/0.49 ( mequiv
% 0.32/0.49 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.32/0.49 ( ( A @ W )
% 0.32/0.49 <=> ( B @ W ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mbox_type,type,
% 0.32/0.49 mbox: ( mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mbox_def,definition,
% 0.32/0.49 ( mbox
% 0.32/0.49 = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.32/0.49 ! [V: mworld] :
% 0.32/0.49 ( ( mrel @ W @ V )
% 0.32/0.49 => ( Phi @ V ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mdia_type,type,
% 0.32/0.49 mdia: ( mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mdia_def,definition,
% 0.32/0.49 ( mdia
% 0.32/0.49 = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.32/0.49 ? [V: mworld] :
% 0.32/0.49 ( ( mrel @ W @ V )
% 0.32/0.49 & ( Phi @ V ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(eiw_di_type,type,
% 0.32/0.49 eiw_di: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(eiw_di_nonempty,axiom,
% 0.32/0.49 ! [W: mworld] :
% 0.32/0.49 ? [X: $i] : ( eiw_di @ X @ W ) ).
% 0.32/0.49
% 0.32/0.49 thf(eiw_di_cumul,axiom,
% 0.32/0.49 ! [W: mworld,V: mworld,X: $i] :
% 0.32/0.49 ( ( ( eiw_di @ X @ W )
% 0.32/0.49 & ( mrel @ W @ V ) )
% 0.32/0.49 => ( eiw_di @ X @ V ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mforall_di_type,type,
% 0.32/0.49 mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mforall_di_def,definition,
% 0.32/0.49 ( mforall_di
% 0.32/0.49 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.32/0.49 ! [X: $i] :
% 0.32/0.49 ( ( eiw_di @ X @ W )
% 0.32/0.49 => ( A @ X @ W ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(mexists_di_type,type,
% 0.32/0.49 mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(mexists_di_def,definition,
% 0.32/0.49 ( mexists_di
% 0.32/0.49 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.32/0.49 ? [X: $i] :
% 0.32/0.49 ( ( eiw_di @ X @ W )
% 0.32/0.49 & ( A @ X @ W ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(chevy_decl,type,
% 0.32/0.49 chevy: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(dirty_decl,type,
% 0.32/0.49 dirty: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(barrel_decl,type,
% 0.32/0.49 barrel: $i > $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(hollywood_decl,type,
% 0.32/0.49 hollywood: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(city_decl,type,
% 0.32/0.49 city: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(in_decl,type,
% 0.32/0.49 in: $i > $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(young_decl,type,
% 0.32/0.49 young: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(old_decl,type,
% 0.32/0.49 old: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(down_decl,type,
% 0.32/0.49 down: $i > $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(way_decl,type,
% 0.32/0.49 way: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(qmltpeq_decl,type,
% 0.32/0.49 qmltpeq: $i > $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(seat_decl,type,
% 0.32/0.49 seat: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(white_decl,type,
% 0.32/0.49 white: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(car_decl,type,
% 0.32/0.49 car: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(furniture_decl,type,
% 0.32/0.49 furniture: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(street_decl,type,
% 0.32/0.49 street: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(fellow_decl,type,
% 0.32/0.49 fellow: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(front_decl,type,
% 0.32/0.49 front: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(man_decl,type,
% 0.32/0.49 man: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(event_decl,type,
% 0.32/0.49 event: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(lonely_decl,type,
% 0.32/0.49 lonely: $i > mworld > $o ).
% 0.32/0.49
% 0.32/0.49 thf(reflexivity,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(symmetry,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [X: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(transitivity,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [X: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [Y: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(barrel_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(barrel_substitution_2,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(car_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(chevy_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(city_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(dirty_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(down_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(down_substitution_2,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(event_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(fellow_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( fellow @ A ) ) @ ( fellow @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(front_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( front @ A ) ) @ ( front @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(furniture_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( furniture @ A ) ) @ ( furniture @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(hollywood_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(in_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(in_substitution_2,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(lonely_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(man_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(old_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(seat_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( seat @ A ) ) @ ( seat @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(street_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(way_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(white_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(young_substitution_1,axiom,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mforall_di
% 0.32/0.49 @ ^ [A: $i] :
% 0.32/0.49 ( mforall_di
% 0.32/0.49 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( young @ A ) ) @ ( young @ B ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 thf(co1,conjecture,
% 0.32/0.49 ( mlocal
% 0.32/0.49 @ ( mand
% 0.32/0.49 @ ( mimplies
% 0.32/0.49 @ ( mexists_di
% 0.32/0.49 @ ^ [U: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [V: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [W: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [Y: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [Z: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X1: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X2: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X4: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.32/0.49 @ ( mexists_di
% 0.32/0.49 @ ^ [X6: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X7: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X8: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X9: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X10: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X11: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X12: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X13: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X15: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.32/0.49 @ ( mimplies
% 0.32/0.49 @ ( mexists_di
% 0.32/0.49 @ ^ [X17: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X18: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X19: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X20: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X21: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X22: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X23: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X24: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X26: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.32/0.49 @ ( mexists_di
% 0.32/0.49 @ ^ [X28: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X29: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X30: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X31: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X32: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X33: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X34: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X35: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [X37: $i] :
% 0.32/0.49 ( mexists_di
% 0.32/0.49 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.32/0.49
% 0.32/0.49 %------------------------------------------------------------------------------
% 0.32/0.49 ------------------------
% 2.04/1.58 ---- Embedded in THF ---
% 2.04/1.58 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.04/1.58 %%% Generated on Tue Feb 24 10:43:19 EST 2026
% 2.04/1.58 %%% using '$$dhol' embedding, version 1.3.0.
% 2.04/1.58 %%% Logic specification used:
% 2.04/1.58 %%% thf(spec, logic, $$dhol).
% 2.04/1.58
% 2.04/1.58 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2DTF7654.p
% See solution above
% 2.04/1.58 ------------------------
% 2.23/1.60 ---- Cleaned THF ---
% 2.23/1.60 thf(mworld,type,
% 2.23/1.60 mworld: $tType ).
% 2.23/1.60
% 2.23/1.60 thf(mrel_type,type,
% 2.23/1.60 mrel: mworld > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mactual_type,type,
% 2.23/1.60 mactual: mworld ).
% 2.23/1.60
% 2.23/1.60 thf(mlocal_type,type,
% 2.23/1.60 mlocal: ( mworld > $o ) > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mlocal_def,definition,
% 2.23/1.60 ( mlocal
% 2.23/1.60 = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mnot_type,type,
% 2.23/1.60 mnot: ( mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mand_type,type,
% 2.23/1.60 mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mor_type,type,
% 2.23/1.60 mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mimplies_type,type,
% 2.23/1.60 mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mequiv_type,type,
% 2.23/1.60 mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mnot_def,definition,
% 2.23/1.60 ( mnot
% 2.23/1.60 = ( ^ [A: mworld > $o,W: mworld] :
% 2.23/1.60 ~ ( A @ W ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mand_def,definition,
% 2.23/1.60 ( mand
% 2.23/1.60 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.23/1.60 ( ( A @ W )
% 2.23/1.60 & ( B @ W ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mor_def,definition,
% 2.23/1.60 ( mor
% 2.23/1.60 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.23/1.60 ( ( A @ W )
% 2.23/1.60 | ( B @ W ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mimplies_def,definition,
% 2.23/1.60 ( mimplies
% 2.23/1.60 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.23/1.60 ( ( A @ W )
% 2.23/1.60 => ( B @ W ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mequiv_def,definition,
% 2.23/1.60 ( mequiv
% 2.23/1.60 = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 2.23/1.60 ( ( A @ W )
% 2.23/1.60 <=> ( B @ W ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mbox_type,type,
% 2.23/1.60 mbox: ( mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mbox_def,definition,
% 2.23/1.60 ( mbox
% 2.23/1.60 = ( ^ [Phi: mworld > $o,W: mworld] :
% 2.23/1.60 ! [V: mworld] :
% 2.23/1.60 ( ( mrel @ W @ V )
% 2.23/1.60 => ( Phi @ V ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mdia_type,type,
% 2.23/1.60 mdia: ( mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mdia_def,definition,
% 2.23/1.60 ( mdia
% 2.23/1.60 = ( ^ [Phi: mworld > $o,W: mworld] :
% 2.23/1.60 ? [V: mworld] :
% 2.23/1.60 ( ( mrel @ W @ V )
% 2.23/1.60 & ( Phi @ V ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(eiw_di_type,type,
% 2.23/1.60 eiw_di: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(eiw_di_nonempty,axiom,
% 2.23/1.60 ! [W: mworld] :
% 2.23/1.60 ? [X: $i] : ( eiw_di @ X @ W ) ).
% 2.23/1.60
% 2.23/1.60 thf(eiw_di_cumul,axiom,
% 2.23/1.60 ! [W: mworld,V: mworld,X: $i] :
% 2.23/1.60 ( ( ( eiw_di @ X @ W )
% 2.23/1.60 & ( mrel @ W @ V ) )
% 2.23/1.60 => ( eiw_di @ X @ V ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mforall_di_type,type,
% 2.23/1.60 mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mforall_di_def,definition,
% 2.23/1.60 ( mforall_di
% 2.23/1.60 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 2.23/1.60 ! [X: $i] :
% 2.23/1.60 ( ( eiw_di @ X @ W )
% 2.23/1.60 => ( A @ X @ W ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(mexists_di_type,type,
% 2.23/1.60 mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(mexists_di_def,definition,
% 2.23/1.60 ( mexists_di
% 2.23/1.60 = ( ^ [A: $i > mworld > $o,W: mworld] :
% 2.23/1.60 ? [X: $i] :
% 2.23/1.60 ( ( eiw_di @ X @ W )
% 2.23/1.60 & ( A @ X @ W ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(chevy_decl,type,
% 2.23/1.60 chevy: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(dirty_decl,type,
% 2.23/1.60 dirty: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(barrel_decl,type,
% 2.23/1.60 barrel: $i > $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(hollywood_decl,type,
% 2.23/1.60 hollywood: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(city_decl,type,
% 2.23/1.60 city: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(in_decl,type,
% 2.23/1.60 in: $i > $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(young_decl,type,
% 2.23/1.60 young: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(old_decl,type,
% 2.23/1.60 old: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(down_decl,type,
% 2.23/1.60 down: $i > $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(way_decl,type,
% 2.23/1.60 way: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(qmltpeq_decl,type,
% 2.23/1.60 qmltpeq: $i > $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(seat_decl,type,
% 2.23/1.60 seat: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(white_decl,type,
% 2.23/1.60 white: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(car_decl,type,
% 2.23/1.60 car: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(furniture_decl,type,
% 2.23/1.60 furniture: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(street_decl,type,
% 2.23/1.60 street: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(fellow_decl,type,
% 2.23/1.60 fellow: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(front_decl,type,
% 2.23/1.60 front: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(man_decl,type,
% 2.23/1.60 man: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(event_decl,type,
% 2.23/1.60 event: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(lonely_decl,type,
% 2.23/1.60 lonely: $i > mworld > $o ).
% 2.23/1.60
% 2.23/1.60 thf(reflexivity,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [X: $i] : ( qmltpeq @ X @ X ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(symmetry,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [X: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [Y: $i] : ( mimplies @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ X ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(transitivity,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [X: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [Y: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [Z: $i] : ( mimplies @ ( mand @ ( qmltpeq @ X @ Y ) @ ( qmltpeq @ Y @ Z ) ) @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(barrel_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ A @ C ) ) @ ( barrel @ B @ C ) ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(barrel_substitution_2,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( barrel @ C @ A ) ) @ ( barrel @ C @ B ) ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(car_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( car @ A ) ) @ ( car @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(chevy_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( chevy @ A ) ) @ ( chevy @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(city_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( city @ A ) ) @ ( city @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(dirty_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( dirty @ A ) ) @ ( dirty @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(down_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ A @ C ) ) @ ( down @ B @ C ) ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(down_substitution_2,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( down @ C @ A ) ) @ ( down @ C @ B ) ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(event_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( event @ A ) ) @ ( event @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(fellow_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( fellow @ A ) ) @ ( fellow @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(front_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( front @ A ) ) @ ( front @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(furniture_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( furniture @ A ) ) @ ( furniture @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(hollywood_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( hollywood @ A ) ) @ ( hollywood @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(in_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ A @ C ) ) @ ( in @ B @ C ) ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(in_substitution_2,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [C: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( in @ C @ A ) ) @ ( in @ C @ B ) ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(lonely_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( lonely @ A ) ) @ ( lonely @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(man_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( man @ A ) ) @ ( man @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(old_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( old @ A ) ) @ ( old @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(seat_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( seat @ A ) ) @ ( seat @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(street_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( street @ A ) ) @ ( street @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(way_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( way @ A ) ) @ ( way @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(white_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( white @ A ) ) @ ( white @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(young_substitution_1,axiom,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mforall_di
% 2.23/1.60 @ ^ [A: $i] :
% 2.23/1.60 ( mforall_di
% 2.23/1.60 @ ^ [B: $i] : ( mimplies @ ( mand @ ( qmltpeq @ A @ B ) @ ( young @ A ) ) @ ( young @ B ) ) ) ) ) ).
% 2.23/1.60
% 2.23/1.60 thf(co1,conjecture,
% 2.23/1.60 ( mlocal
% 2.23/1.60 @ ( mand
% 2.23/1.60 @ ( mimplies
% 2.23/1.60 @ ( mexists_di
% 2.23/1.60 @ ^ [U: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [V: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [W: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [Y: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [Z: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X1: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X2: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X4: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.23/1.60 @ ( mexists_di
% 2.23/1.60 @ ^ [X6: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X7: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X8: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X9: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X10: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X11: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X12: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X13: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X15: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.23/1.60 @ ( mimplies
% 2.23/1.60 @ ( mexists_di
% 2.23/1.60 @ ^ [X17: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X18: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X19: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X20: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X21: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X22: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X23: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X24: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X26: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 2.23/1.60 @ ( mexists_di
% 2.23/1.60 @ ^ [X28: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X29: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X30: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X31: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X32: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X33: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X34: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X35: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [X37: $i] :
% 2.23/1.60 ( mexists_di
% 2.23/1.60 @ ^ [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 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 2.23/1.60 ------------------------
% 2.23/1.63 % (7794)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_7654 for (2999ds/275Mi)
% 2.23/1.63 % (7790)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_7654 for (2999ds/4Mi)
% 2.23/1.63 % (7789)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/183Mi)
% 2.23/1.63 % (7791)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_7654 for (2999ds/27Mi)
% 2.23/1.63 % (7792)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/2Mi)
% 2.23/1.63 % (7793)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_7654 for (2999ds/2Mi)
% 2.23/1.63 % (7795)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/18Mi)
% 2.23/1.63 % (7792)Instruction limit reached!
% 2.23/1.63 % (7792)------------------------------
% 2.23/1.63 % (7792)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.63 % (7792)Termination reason: Unknown
% 2.23/1.63 % (7793)Instruction limit reached!
% 2.23/1.63 % (7793)------------------------------
% 2.23/1.63 % (7793)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.63 % (7793)Termination reason: Unknown
% 2.23/1.63 % (7793)Termination phase: shuffling
% 2.23/1.63
% 2.23/1.63 % (7793)Memory used [KB]: 1023
% 2.23/1.63 % (7793)Time elapsed: 0.003 s
% 2.23/1.63 % (7793)Instructions burned: 2 (million)
% 2.23/1.63 % (7793)------------------------------
% 2.23/1.63 % (7793)------------------------------
% 2.23/1.63 % (7792)Termination phase: shuffling
% 2.23/1.63
% 2.23/1.63 % (7792)Memory used [KB]: 1023
% 2.23/1.63 % (7792)Time elapsed: 0.003 s
% 2.23/1.63 % (7792)Instructions burned: 2 (million)
% 2.23/1.63 % (7792)------------------------------
% 2.23/1.63 % (7792)------------------------------
% 2.23/1.63 % (7790)Instruction limit reached!
% 2.23/1.63 % (7790)------------------------------
% 2.23/1.63 % (7790)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.63 % (7790)Termination reason: Unknown
% 2.23/1.63 % (7790)Termination phase: shuffling
% 2.23/1.63
% 2.23/1.63 % (7790)Memory used [KB]: 1151
% 2.23/1.63 % (7790)Time elapsed: 0.003 s
% 2.23/1.63 % (7790)Instructions burned: 4 (million)
% 2.23/1.63 % (7790)------------------------------
% 2.23/1.63 % (7790)------------------------------
% 2.23/1.63 % (7795)Instruction limit reached!
% 2.23/1.63 % (7795)------------------------------
% 2.23/1.63 % (7795)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.63 % (7795)Termination reason: Unknown
% 2.23/1.63 % (7795)Termination phase: Property scanning
% 2.23/1.63
% 2.23/1.63 % (7795)Memory used [KB]: 1279
% 2.23/1.63 % (7795)Time elapsed: 0.010 s
% 2.23/1.63 % (7795)Instructions burned: 19 (million)
% 2.23/1.63 % (7795)------------------------------
% 2.23/1.63 % (7795)------------------------------
% 2.23/1.64 % (7791)Instruction limit reached!
% 2.23/1.64 % (7791)------------------------------
% 2.23/1.64 % (7791)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.64 % (7791)Termination reason: Unknown
% 2.23/1.64 % (7791)Termination phase: Property scanning
% 2.23/1.64
% 2.23/1.64 % (7791)Memory used [KB]: 1279
% 2.23/1.64 % (7791)Time elapsed: 0.013 s
% 2.23/1.64 % (7791)Instructions burned: 27 (million)
% 2.23/1.64 % (7791)------------------------------
% 2.23/1.64 % (7791)------------------------------
% 2.23/1.64 % (7796)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/3Mi)
% 2.23/1.64 % (7797)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_7654 for (2999ds/37Mi)
% 2.23/1.64 % (7798)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_7654 for (2999ds/15Mi)
% 2.23/1.64 % (7796)Instruction limit reached!
% 2.23/1.64 % (7796)------------------------------
% 2.23/1.64 % (7796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.64 % (7796)Termination reason: Unknown
% 2.23/1.64 % (7796)Termination phase: shuffling
% 2.23/1.64
% 2.23/1.64 % (7796)Memory used [KB]: 1151
% 2.23/1.64 % (7796)Time elapsed: 0.003 s
% 2.23/1.64 % (7796)Instructions burned: 3 (million)
% 2.23/1.64 % (7796)------------------------------
% 2.23/1.64 % (7796)------------------------------
% 2.23/1.65 % (7798)Instruction limit reached!
% 2.23/1.65 % (7798)------------------------------
% 2.23/1.65 % (7798)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.65 % (7798)Termination reason: Unknown
% 2.23/1.65 % (7798)Termination phase: Property scanning
% 2.23/1.65
% 2.23/1.65 % (7798)Memory used [KB]: 1279
% 2.23/1.65 % (7798)Time elapsed: 0.008 s
% 2.23/1.65 % (7798)Instructions burned: 16 (million)
% 2.23/1.65 % (7798)------------------------------
% 2.23/1.65 % (7798)------------------------------
% 2.23/1.65 % (7799)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_7654 for (2999ds/3Mi)
% 2.23/1.65 % (7799)Instruction limit reached!
% 2.23/1.65 % (7799)------------------------------
% 2.23/1.65 % (7799)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.65 % (7799)Termination reason: Unknown
% 2.23/1.65 % (7799)Termination phase: shuffling
% 2.23/1.65
% 2.23/1.65 % (7799)Memory used [KB]: 1151
% 2.23/1.65 % (7799)Time elapsed: 0.003 s
% 2.23/1.65 % (7799)Instructions burned: 3 (million)
% 2.23/1.65 % (7799)------------------------------
% 2.23/1.65 % (7799)------------------------------
% 2.23/1.65 % (7800)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_7654 for (2999ds/1041Mi)
% 2.23/1.66 % (7797)Instruction limit reached!
% 2.23/1.66 % (7797)------------------------------
% 2.23/1.66 % (7797)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.66 % (7797)Termination reason: Unknown
% 2.23/1.66 % (7797)Termination phase: Property scanning
% 2.23/1.66
% 2.23/1.66 % (7797)Memory used [KB]: 1279
% 2.23/1.66 % (7797)Time elapsed: 0.017 s
% 2.23/1.66 % (7797)Instructions burned: 37 (million)
% 2.23/1.66 % (7797)------------------------------
% 2.23/1.66 % (7797)------------------------------
% 2.23/1.66 % (7801)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/7Mi)
% 2.23/1.66 % (7801)Instruction limit reached!
% 2.23/1.66 % (7801)------------------------------
% 2.23/1.66 % (7801)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.66 % (7801)Termination reason: Unknown
% 2.23/1.66 % (7801)Termination phase: shuffling
% 2.23/1.66
% 2.23/1.66 % (7801)Memory used [KB]: 1151
% 2.23/1.66 % (7801)Time elapsed: 0.005 s
% 2.23/1.66 % (7801)Instructions burned: 9 (million)
% 2.23/1.66 % (7801)------------------------------
% 2.23/1.66 % (7801)------------------------------
% 2.23/1.67 % (7802)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/16Mi)
% 2.23/1.67 % (7803)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_7654 for (2999ds/3Mi)
% 2.23/1.67 % (7803)Instruction limit reached!
% 2.23/1.67 % (7803)------------------------------
% 2.23/1.67 % (7803)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.67 % (7803)Termination reason: Unknown
% 2.23/1.67 % (7803)Termination phase: shuffling
% 2.23/1.67
% 2.23/1.67 % (7803)Memory used [KB]: 1151
% 2.23/1.67 % (7803)Time elapsed: 0.003 s
% 2.23/1.67 % (7803)Instructions burned: 4 (million)
% 2.23/1.67 % (7803)------------------------------
% 2.23/1.67 % (7803)------------------------------
% 2.23/1.67 % (7802)Instruction limit reached!
% 2.23/1.67 % (7802)------------------------------
% 2.23/1.67 % (7802)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.67 % (7802)Termination reason: Unknown
% 2.23/1.67 % (7802)Termination phase: Property scanning
% 2.23/1.67
% 2.23/1.67 % (7802)Memory used [KB]: 1279
% 2.23/1.67 % (7802)Time elapsed: 0.008 s
% 2.23/1.67 % (7802)Instructions burned: 16 (million)
% 2.23/1.67 % (7802)------------------------------
% 2.23/1.67 % (7802)------------------------------
% 2.23/1.67 % (7804)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_7654 for (2999ds/3Mi)
% 2.23/1.67 % (7794)Refutation not found, incomplete strategy
% 2.23/1.67 % (7794)------------------------------
% 2.23/1.67 % (7794)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.67 % (7794)Termination reason: Refutation not found, incomplete strategy
% 2.23/1.67
% 2.23/1.67
% 2.23/1.67 % (7794)Memory used [KB]: 6140
% 2.23/1.67 % (7794)Time elapsed: 0.051 s
% 2.23/1.67 % (7794)Instructions burned: 121 (million)
% 2.23/1.67 % (7794)------------------------------
% 2.23/1.67 % (7794)------------------------------
% 2.23/1.68 % (7804)Instruction limit reached!
% 2.23/1.68 % (7804)------------------------------
% 2.23/1.68 % (7804)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.68 % (7804)Termination reason: Unknown
% 2.23/1.68 % (7804)Termination phase: shuffling
% 2.23/1.68
% 2.23/1.68 % (7804)Memory used [KB]: 1151
% 2.23/1.68 % (7804)Time elapsed: 0.003 s
% 2.23/1.68 % (7804)Instructions burned: 3 (million)
% 2.23/1.68 % (7804)------------------------------
% 2.23/1.68 % (7804)------------------------------
% 2.23/1.68 % (7805)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/7Mi)
% 2.23/1.68 % (7805)Instruction limit reached!
% 2.23/1.68 % (7805)------------------------------
% 2.23/1.68 % (7805)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.68 % (7805)Termination reason: Unknown
% 2.23/1.68 % (7805)Termination phase: shuffling
% 2.23/1.68
% 2.23/1.68 % (7805)Memory used [KB]: 1151
% 2.23/1.68 % (7805)Time elapsed: 0.004 s
% 2.23/1.68 % (7805)Instructions burned: 7 (million)
% 2.23/1.68 % (7805)------------------------------
% 2.23/1.68 % (7805)------------------------------
% 2.23/1.68 % (7806)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/3Mi)
% 2.23/1.69 % (7806)Instruction limit reached!
% 2.23/1.69 % (7806)------------------------------
% 2.23/1.69 % (7806)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.69 % (7806)Termination reason: Unknown
% 2.23/1.69 % (7806)Termination phase: shuffling
% 2.23/1.69
% 2.23/1.69 % (7806)Memory used [KB]: 1151
% 2.23/1.69 % (7806)Time elapsed: 0.003 s
% 2.23/1.69 % (7806)Instructions burned: 4 (million)
% 2.23/1.69 % (7806)------------------------------
% 2.23/1.69 % (7806)------------------------------
% 2.23/1.69 % (7807)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/4Mi)
% 2.23/1.69 % (7807)Instruction limit reached!
% 2.23/1.69 % (7807)------------------------------
% 2.23/1.69 % (7807)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.23/1.69 % (7807)Termination reason: Unknown
% 2.23/1.69 % (7807)Termination phase: shuffling
% 2.23/1.69
% 2.23/1.69 % (7807)Memory used [KB]: 1151
% 2.23/1.69 % (7807)Time elapsed: 0.004 s
% 2.23/1.69 % (7807)Instructions burned: 5 (million)
% 2.23/1.69 % (7807)------------------------------
% 2.23/1.69 % (7807)------------------------------
% 2.23/1.69 % (7808)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/18Mi)
% 2.23/1.69 % (7809)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/710Mi)
% 2.25/1.70 % (7789)Instruction limit reached!
% 2.25/1.70 % (7789)------------------------------
% 2.25/1.70 % (7789)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.70 % (7789)Termination reason: Unknown
% 2.25/1.70 % (7789)Termination phase: Saturation
% 2.25/1.70
% 2.25/1.70 % (7789)Memory used [KB]: 6524
% 2.25/1.70 % (7789)Time elapsed: 0.074 s
% 2.25/1.70 % (7789)Instructions burned: 184 (million)
% 2.25/1.70 % (7789)------------------------------
% 2.25/1.70 % (7789)------------------------------
% 2.25/1.70 % (7810)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/6Mi)
% 2.25/1.70 % (7808)Instruction limit reached!
% 2.25/1.70 % (7808)------------------------------
% 2.25/1.70 % (7808)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.70 % (7808)Termination reason: Unknown
% 2.25/1.70 % (7808)Termination phase: Preprocessing 3
% 2.25/1.70
% 2.25/1.70 % (7808)Memory used [KB]: 1279
% 2.25/1.70 % (7808)Time elapsed: 0.009 s
% 2.25/1.70 % (7808)Instructions burned: 18 (million)
% 2.25/1.70 % (7808)------------------------------
% 2.25/1.70 % (7808)------------------------------
% 2.25/1.70 % (7810)Instruction limit reached!
% 2.25/1.70 % (7810)------------------------------
% 2.25/1.70 % (7810)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.70 % (7810)Termination reason: Unknown
% 2.25/1.70 % (7810)Termination phase: shuffling
% 2.25/1.70
% 2.25/1.70 % (7810)Memory used [KB]: 1151
% 2.25/1.70 % (7810)Time elapsed: 0.004 s
% 2.25/1.70 % (7810)Instructions burned: 6 (million)
% 2.25/1.70 % (7810)------------------------------
% 2.25/1.70 % (7810)------------------------------
% 2.25/1.70 % (7811)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_7654 for (2999ds/902Mi)
% 2.25/1.71 % (7812)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_7654 for (2999ds/21Mi)
% 2.25/1.71 % (7811)Refutation not found, incomplete strategy
% 2.25/1.71 % (7811)------------------------------
% 2.25/1.71 % (7811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.71 % (7811)Termination reason: Refutation not found, incomplete strategy
% 2.25/1.71
% 2.25/1.71
% 2.25/1.71 % (7811)Memory used [KB]: 5756
% 2.25/1.71 % (7811)Time elapsed: 0.013 s
% 2.25/1.71 % (7811)Instructions burned: 27 (million)
% 2.25/1.71 % (7811)------------------------------
% 2.25/1.71 % (7811)------------------------------
% 2.25/1.71 % (7813)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/5Mi)
% 2.25/1.71 % (7812)Instruction limit reached!
% 2.25/1.71 % (7812)------------------------------
% 2.25/1.71 % (7812)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.71 % (7812)Termination reason: Unknown
% 2.25/1.71 % (7812)Termination phase: SInE selection
% 2.25/1.71
% 2.25/1.71 % (7812)Memory used [KB]: 1279
% 2.25/1.71 % (7812)Time elapsed: 0.010 s
% 2.25/1.71 % (7812)Instructions burned: 21 (million)
% 2.25/1.71 % (7814)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_7654 for (2999ds/6Mi)
% 2.25/1.71 % (7812)------------------------------
% 2.25/1.71 % (7812)------------------------------
% 2.25/1.72 % (7815)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_7654 for (2999ds/377Mi)
% 2.25/1.72 % (7813)Instruction limit reached!
% 2.25/1.72 % (7813)------------------------------
% 2.25/1.72 % (7813)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.72 % (7813)Termination reason: Unknown
% 2.25/1.72 % (7813)Termination phase: shuffling
% 2.25/1.72
% 2.25/1.72 % (7813)Memory used [KB]: 1151
% 2.25/1.72 % (7813)Time elapsed: 0.004 s
% 2.25/1.72 % (7813)Instructions burned: 6 (million)
% 2.25/1.72 % (7813)------------------------------
% 2.25/1.72 % (7813)------------------------------
% 2.25/1.72 % (7814)Instruction limit reached!
% 2.25/1.72 % (7814)------------------------------
% 2.25/1.72 % (7814)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.72 % (7814)Termination reason: Unknown
% 2.25/1.72 % (7814)Termination phase: shuffling
% 2.25/1.72
% 2.25/1.72 % (7814)Memory used [KB]: 1151
% 2.25/1.72 % (7814)Time elapsed: 0.004 s
% 2.25/1.72 % (7814)Instructions burned: 6 (million)
% 2.25/1.72 % (7814)------------------------------
% 2.25/1.72 % (7814)------------------------------
% 2.25/1.73 % (7816)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_7654 for (2999ds/779Mi)
% 2.25/1.73 % (7817)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_7654 for (2999ds/19Mi)
% 2.25/1.73 % (7818)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_7654 for (2998ds/879Mi)
% 2.25/1.73 % (7819)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_7654 for (2998ds/17Mi)
% 2.25/1.74 % (7817)Instruction limit reached!
% 2.25/1.74 % (7817)------------------------------
% 2.25/1.74 % (7817)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.74 % (7817)Termination reason: Unknown
% 2.25/1.74 % (7817)Termination phase: Property scanning
% 2.25/1.74
% 2.25/1.74 % (7817)Memory used [KB]: 1279
% 2.25/1.74 % (7817)Time elapsed: 0.010 s
% 2.25/1.74 % (7817)Instructions burned: 20 (million)
% 2.25/1.74 % (7817)------------------------------
% 2.25/1.74 % (7817)------------------------------
% 2.25/1.74 % (7819)Instruction limit reached!
% 2.25/1.74 % (7819)------------------------------
% 2.25/1.74 % (7819)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.74 % (7819)Termination reason: Unknown
% 2.25/1.74 % (7819)Termination phase: Property scanning
% 2.25/1.74
% 2.25/1.74 % (7819)Memory used [KB]: 1279
% 2.25/1.74 % (7819)Time elapsed: 0.009 s
% 2.25/1.74 % (7819)Instructions burned: 18 (million)
% 2.25/1.74 % (7819)------------------------------
% 2.25/1.74 % (7819)------------------------------
% 2.25/1.76 % (7820)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_7654 for (2998ds/3Mi)
% 2.25/1.76 % (7821)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_7654 for (2998ds/30Mi)
% 2.25/1.76 % (7820)Instruction limit reached!
% 2.25/1.76 % (7820)------------------------------
% 2.25/1.76 % (7820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.76 % (7820)Termination reason: Unknown
% 2.25/1.76 % (7820)Termination phase: shuffling
% 2.25/1.76
% 2.25/1.76 % (7820)Memory used [KB]: 1151
% 2.25/1.76 % (7820)Time elapsed: 0.003 s
% 2.25/1.76 % (7820)Instructions burned: 3 (million)
% 2.25/1.76 % (7820)------------------------------
% 2.25/1.76 % (7820)------------------------------
% 2.25/1.77 % (7821)Instruction limit reached!
% 2.25/1.77 % (7821)------------------------------
% 2.25/1.77 % (7821)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.77 % (7821)Termination reason: Unknown
% 2.25/1.77 % (7821)Termination phase: Property scanning
% 2.25/1.77
% 2.25/1.77 % (7821)Memory used [KB]: 1279
% 2.25/1.77 % (7821)Time elapsed: 0.014 s
% 2.25/1.77 % (7821)Instructions burned: 30 (million)
% 2.25/1.77 % (7821)------------------------------
% 2.25/1.77 % (7821)------------------------------
% 2.25/1.77 % (7822)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_7654 for (2998ds/127Mi)
% 2.25/1.79 % (7823)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_7654 for (2998ds/100Mi)
% 2.25/1.83 % (7822)Instruction limit reached!
% 2.25/1.83 % (7822)------------------------------
% 2.25/1.83 % (7822)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.83 % (7822)Termination reason: Unknown
% 2.25/1.83 % (7822)Termination phase: Saturation
% 2.25/1.83
% 2.25/1.83 % (7822)Memory used [KB]: 6524
% 2.25/1.83 % (7822)Time elapsed: 0.055 s
% 2.25/1.83 % (7822)Instructions burned: 127 (million)
% 2.25/1.83 % (7822)------------------------------
% 2.25/1.83 % (7822)------------------------------
% 2.25/1.83 % (7823)Instruction limit reached!
% 2.25/1.83 % (7823)------------------------------
% 2.25/1.83 % (7823)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.83 % (7823)Termination reason: Unknown
% 2.25/1.83 % (7823)Termination phase: Saturation
% 2.25/1.83
% 2.25/1.83 % (7823)Memory used [KB]: 6524
% 2.25/1.83 % (7823)Time elapsed: 0.044 s
% 2.25/1.83 % (7823)Instructions burned: 101 (million)
% 2.25/1.83 % (7823)------------------------------
% 2.25/1.83 % (7823)------------------------------
% 2.25/1.84 % (7824)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_7654 for (2997ds/3Mi)
% 2.25/1.84 % (7825)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_7654 for (2997ds/20Mi)
% 2.25/1.85 % (7824)Instruction limit reached!
% 2.25/1.85 % (7824)------------------------------
% 2.25/1.85 % (7824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.85 % (7824)Termination reason: Unknown
% 2.25/1.85 % (7824)Termination phase: shuffling
% 2.25/1.85
% 2.25/1.85 % (7824)Memory used [KB]: 1151
% 2.25/1.85 % (7824)Time elapsed: 0.003 s
% 2.25/1.85 % (7824)Instructions burned: 3 (million)
% 2.25/1.85 % (7824)------------------------------
% 2.25/1.85 % (7824)------------------------------
% 2.25/1.85 % (7816)Refutation not found, incomplete strategy
% 2.25/1.85 % (7816)------------------------------
% 2.25/1.85 % (7816)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.85 % (7816)Termination reason: Refutation not found, incomplete strategy
% 2.25/1.85
% 2.25/1.85
% 2.25/1.85 % (7816)Memory used [KB]: 6524
% 2.25/1.85 % (7816)Time elapsed: 0.121 s
% 2.25/1.85 % (7816)Instructions burned: 282 (million)
% 2.25/1.85 % (7816)------------------------------
% 2.25/1.85 % (7816)------------------------------
% 2.25/1.85 % (7825)Instruction limit reached!
% 2.25/1.85 % (7825)------------------------------
% 2.25/1.85 % (7825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.85 % (7825)Termination reason: Unknown
% 2.25/1.85 % (7825)Termination phase: SInE selection
% 2.25/1.85
% 2.25/1.85 % (7825)Memory used [KB]: 1279
% 2.25/1.85 % (7825)Time elapsed: 0.010 s
% 2.25/1.85 % (7825)Instructions burned: 20 (million)
% 2.25/1.85 % (7825)------------------------------
% 2.25/1.85 % (7825)------------------------------
% 2.25/1.86 % (7826)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_7654 for (2997ds/86Mi)
% 2.25/1.87 % (7827)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_7654 for (2997ds/107Mi)
% 2.25/1.87 % (7828)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_7654 for (2997ds/39Mi)
% 2.25/1.87 % (7815)Instruction limit reached!
% 2.25/1.87 % (7815)------------------------------
% 2.25/1.87 % (7815)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.87 % (7815)Termination reason: Unknown
% 2.25/1.87 % (7815)Termination phase: Saturation
% 2.25/1.87
% 2.25/1.87 % (7815)Memory used [KB]: 7164
% 2.25/1.87 % (7815)Time elapsed: 0.155 s
% 2.25/1.87 % (7815)Instructions burned: 377 (million)
% 2.25/1.87 % (7815)------------------------------
% 2.25/1.87 % (7815)------------------------------
% 2.25/1.88 % (7828)Instruction limit reached!
% 2.25/1.88 % (7828)------------------------------
% 2.25/1.88 % (7828)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.88 % (7828)Termination reason: Unknown
% 2.25/1.88 % (7828)Termination phase: Saturation
% 2.25/1.88
% 2.25/1.88 % (7828)Memory used [KB]: 1407
% 2.25/1.88 % (7828)Time elapsed: 0.018 s
% 2.25/1.88 % (7828)Instructions burned: 39 (million)
% 2.25/1.89 % (7828)------------------------------
% 2.25/1.89 % (7828)------------------------------
% 2.25/1.89 % (7829)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_7654 for (2997ds/448Mi)
% 2.25/1.90 % (7826)Instruction limit reached!
% 2.25/1.90 % (7826)------------------------------
% 2.25/1.90 % (7826)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.90 % (7826)Termination reason: Unknown
% 2.25/1.90 % (7826)Termination phase: Saturation
% 2.25/1.90
% 2.25/1.90 % (7826)Memory used [KB]: 6140
% 2.25/1.90 % (7826)Time elapsed: 0.038 s
% 2.25/1.90 % (7826)Instructions burned: 86 (million)
% 2.25/1.90 % (7826)------------------------------
% 2.25/1.90 % (7826)------------------------------
% 2.25/1.90 % (7830)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_7654 for (2997ds/46Mi)
% 2.25/1.91 % (7827)Instruction limit reached!
% 2.25/1.91 % (7827)------------------------------
% 2.25/1.91 % (7827)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.91 % (7827)Termination reason: Unknown
% 2.25/1.91 % (7827)Termination phase: Saturation
% 2.25/1.91
% 2.25/1.91 % (7827)Memory used [KB]: 6140
% 2.25/1.91 % (7827)Time elapsed: 0.046 s
% 2.25/1.91 % (7827)Instructions burned: 109 (million)
% 2.25/1.91 % (7827)------------------------------
% 2.25/1.91 % (7827)------------------------------
% 2.25/1.91 % (7831)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_7654 for (2997ds/98Mi)
% 2.25/1.92 % (7830)Instruction limit reached!
% 2.25/1.92 % (7830)------------------------------
% 2.25/1.92 % (7830)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.92 % (7830)Termination reason: Unknown
% 2.25/1.92 % (7830)Termination phase: Saturation
% 2.25/1.92
% 2.25/1.92 % (7830)Memory used [KB]: 5884
% 2.25/1.92 % (7830)Time elapsed: 0.023 s
% 2.25/1.92 % (7830)Instructions burned: 46 (million)
% 2.25/1.92 % (7830)------------------------------
% 2.25/1.92 % (7830)------------------------------
% 2.25/1.93 % (7832)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_7654 for (2996ds/507Mi)
% 2.25/1.94 % (7833)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_7654 for (2996ds/149Mi)
% 2.25/1.96 % (7831)Instruction limit reached!
% 2.25/1.96 % (7831)------------------------------
% 2.25/1.96 % (7831)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.96 % (7831)Termination reason: Unknown
% 2.25/1.96 % (7831)Termination phase: Saturation
% 2.25/1.96
% 2.25/1.96 % (7831)Memory used [KB]: 2046
% 2.25/1.96 % (7831)Time elapsed: 0.043 s
% 2.25/1.96 % (7831)Instructions burned: 98 (million)
% 2.25/1.96 % (7831)------------------------------
% 2.25/1.96 % (7831)------------------------------
% 2.25/1.97 % (7809)Instruction limit reached!
% 2.25/1.97 % (7809)------------------------------
% 2.25/1.97 % (7809)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.97 % (7809)Termination reason: Unknown
% 2.25/1.97 % (7809)Termination phase: Saturation
% 2.25/1.97
% 2.25/1.97 % (7809)Memory used [KB]: 6268
% 2.25/1.97 % (7809)Time elapsed: 0.277 s
% 2.25/1.97 % (7809)Instructions burned: 712 (million)
% 2.25/1.97 % (7809)------------------------------
% 2.25/1.97 % (7809)------------------------------
% 2.25/1.97 % (7834)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_7654 for (2996ds/39Mi)
% 2.25/1.98 % (7835)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_7654 for (2996ds/6Mi)
% 2.25/1.99 % (7835)Instruction limit reached!
% 2.25/1.99 % (7835)------------------------------
% 2.25/1.99 % (7835)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.99 % (7835)Termination reason: Unknown
% 2.25/1.99 % (7835)Termination phase: shuffling
% 2.25/1.99
% 2.25/1.99 % (7835)Memory used [KB]: 1151
% 2.25/1.99 % (7835)Time elapsed: 0.005 s
% 2.25/1.99 % (7835)Instructions burned: 7 (million)
% 2.25/1.99 % (7835)------------------------------
% 2.25/1.99 % (7835)------------------------------
% 2.25/1.99 % (7834)Instruction limit reached!
% 2.25/1.99 % (7834)------------------------------
% 2.25/1.99 % (7834)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/1.99 % (7834)Termination reason: Unknown
% 2.25/1.99 % (7834)Termination phase: Property scanning
% 2.25/1.99
% 2.25/1.99 % (7834)Memory used [KB]: 1279
% 2.25/1.99 % (7834)Time elapsed: 0.019 s
% 2.25/1.99 % (7834)Instructions burned: 41 (million)
% 2.25/1.99 % (7834)------------------------------
% 2.25/1.99 % (7834)------------------------------
% 2.25/2.00 % (7836)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_7654 for (2996ds/1087Mi)
% 2.25/2.01 % (7837)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_7654 for (2996ds/47Mi)
% 2.25/2.01 % (7833)Instruction limit reached!
% 2.25/2.01 % (7833)------------------------------
% 2.25/2.01 % (7833)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.25/2.01 % (7833)Termination reason: Unknown
% 2.25/2.01 % (7833)Termination phase: Saturation
% 2.25/2.01
% 2.25/2.01 % (7833)Memory used [KB]: 6396
% 2.25/2.01 % (7833)Time elapsed: 0.073 s
% 2.25/2.01 % (7833)Instructions burned: 149 (million)
% 2.25/2.01 % (7833)------------------------------
% 2.25/2.01 % (7833)------------------------------
% 5.08/2.03 % (7837)Instruction limit reached!
% 5.08/2.03 % (7837)------------------------------
% 5.08/2.03 % (7837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.03 % (7837)Termination reason: Unknown
% 5.08/2.03 % (7837)Termination phase: Saturation
% 5.08/2.03
% 5.08/2.03 % (7837)Memory used [KB]: 5884
% 5.08/2.03 % (7837)Time elapsed: 0.022 s
% 5.08/2.03 % (7837)Instructions burned: 48 (million)
% 5.08/2.03 % (7837)------------------------------
% 5.08/2.03 % (7837)------------------------------
% 5.08/2.03 % (7838)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_7654 for (2996ds/44Mi)
% 5.08/2.04 % (7836)Refutation not found, incomplete strategy
% 5.08/2.04 % (7836)------------------------------
% 5.08/2.04 % (7836)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.04 % (7836)Termination reason: Refutation not found, incomplete strategy
% 5.08/2.04
% 5.08/2.04
% 5.08/2.04 % (7836)Memory used [KB]: 6140
% 5.08/2.04 % (7836)Time elapsed: 0.034 s
% 5.08/2.04 % (7836)Instructions burned: 77 (million)
% 5.08/2.04 % (7836)------------------------------
% 5.08/2.04 % (7836)------------------------------
% 5.08/2.04 % (7839)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_7654 for (2995ds/432Mi)
% 5.08/2.05 % (7838)Instruction limit reached!
% 5.08/2.05 % (7838)------------------------------
% 5.08/2.05 % (7838)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.05 % (7838)Termination reason: Unknown
% 5.08/2.05 % (7838)Termination phase: Saturation
% 5.08/2.05
% 5.08/2.05 % (7838)Memory used [KB]: 1407
% 5.08/2.05 % (7838)Time elapsed: 0.021 s
% 5.08/2.05 % (7838)Instructions burned: 44 (million)
% 5.08/2.05 % (7838)------------------------------
% 5.08/2.05 % (7838)------------------------------
% 5.08/2.05 % (7840)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_7654 for (2995ds/62Mi)
% 5.08/2.06 % (7841)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_7654 for (2995ds/31Mi)
% 5.08/2.07 % (7829)Instruction limit reached!
% 5.08/2.07 % (7829)------------------------------
% 5.08/2.07 % (7829)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.07 % (7829)Termination reason: Unknown
% 5.08/2.07 % (7829)Termination phase: Saturation
% 5.08/2.07
% 5.08/2.07 % (7829)Memory used [KB]: 6524
% 5.08/2.07 % (7829)Time elapsed: 0.185 s
% 5.08/2.07 % (7829)Instructions burned: 449 (million)
% 5.08/2.07 % (7829)------------------------------
% 5.08/2.07 % (7829)------------------------------
% 5.08/2.08 % (7841)Instruction limit reached!
% 5.08/2.08 % (7841)------------------------------
% 5.08/2.08 % (7841)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.08 % (7841)Termination reason: Unknown
% 5.08/2.08 % (7841)Termination phase: Property scanning
% 5.08/2.08
% 5.08/2.08 % (7841)Memory used [KB]: 1279
% 5.08/2.08 % (7841)Time elapsed: 0.015 s
% 5.08/2.08 % (7841)Instructions burned: 31 (million)
% 5.08/2.08 % (7841)------------------------------
% 5.08/2.08 % (7841)------------------------------
% 5.08/2.08 % (7840)Instruction limit reached!
% 5.08/2.08 % (7840)------------------------------
% 5.08/2.08 % (7840)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.08 % (7840)Termination reason: Unknown
% 5.08/2.08 % (7840)Termination phase: Saturation
% 5.08/2.08
% 5.08/2.08 % (7840)Memory used [KB]: 6012
% 5.08/2.08 % (7840)Time elapsed: 0.028 s
% 5.08/2.08 % (7840)Instructions burned: 64 (million)
% 5.08/2.08 % (7840)------------------------------
% 5.08/2.08 % (7840)------------------------------
% 5.08/2.09 % (7842)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_7654 for (2995ds/96Mi)
% 5.08/2.09 % (7818)Instruction limit reached!
% 5.08/2.09 % (7818)------------------------------
% 5.08/2.09 % (7818)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.09 % (7818)Termination reason: Unknown
% 5.08/2.09 % (7818)Termination phase: Saturation
% 5.08/2.09
% 5.08/2.09 % (7818)Memory used [KB]: 8443
% 5.08/2.09 % (7818)Time elapsed: 0.359 s
% 5.08/2.09 % (7818)Instructions burned: 879 (million)
% 5.08/2.09 % (7818)------------------------------
% 5.08/2.09 % (7818)------------------------------
% 5.08/2.09 % (7843)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_7654 for (2995ds/453Mi)
% 5.08/2.09 % (7844)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_7654 for (2995ds/71Mi)
% 5.08/2.11 % (7845)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_7654 for (2995ds/83Mi)
% 5.08/2.12 % (7800)Instruction limit reached!
% 5.08/2.12 % (7800)------------------------------
% 5.08/2.12 % (7800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.12 % (7800)Termination reason: Unknown
% 5.08/2.12 % (7800)Termination phase: Saturation
% 5.08/2.12
% 5.08/2.12 % (7800)Memory used [KB]: 8443
% 5.08/2.12 % (7800)Time elapsed: 0.464 s
% 5.08/2.12 % (7800)Instructions burned: 1042 (million)
% 5.08/2.12 % (7800)------------------------------
% 5.08/2.12 % (7800)------------------------------
% 5.08/2.12 % (7844)Instruction limit reached!
% 5.08/2.12 % (7844)------------------------------
% 5.08/2.12 % (7844)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.08/2.12 % (7844)Termination reason: Unknown
% 5.08/2.12 % (7844)Termination phase: Saturation
% 5.08/2.12
% 5.08/2.12 % (7844)Memory used [KB]: 6140
% 5.08/2.12 % (7844)Time elapsed: 0.031 s
% 5.08/2.12 % (7844)Instructions burned: 72 (million)
% 5.08/2.12 % (7844)------------------------------
% 5.08/2.12 % (7844)------------------------------
% 5.59/2.13 % (7842)Instruction limit reached!
% 5.59/2.13 % (7842)------------------------------
% 5.59/2.13 % (7842)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.59/2.13 % (7842)Termination reason: Unknown
% 5.59/2.13 % (7842)Termination phase: Saturation
% 5.59/2.13
% 5.59/2.13 % (7842)Memory used [KB]: 6140
% 5.59/2.13 % (7842)Time elapsed: 0.042 s
% 5.59/2.13 % (7842)Instructions burned: 97 (million)
% 5.59/2.13 % (7842)------------------------------
% 5.59/2.13 % (7842)------------------------------
% 5.59/2.13 % (7832)Instruction limit reached!
% 5.59/2.13 % (7832)------------------------------
% 5.59/2.13 % (7832)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.59/2.13 % (7832)Termination reason: Unknown
% 5.59/2.13 % (7832)Termination phase: Saturation
% 5.59/2.13
% 5.59/2.13 % (7832)Memory used [KB]: 6780
% 5.59/2.13 % (7832)Time elapsed: 0.205 s
% 5.59/2.13 % (7832)Instructions burned: 508 (million)
% 5.59/2.13 % (7832)------------------------------
% 5.59/2.13 % (7832)------------------------------
% 5.59/2.13 % (7846)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_7654 for (2994ds/11Mi)
% 5.59/2.14 % (7846)Instruction limit reached!
% 5.59/2.14 % (7846)------------------------------
% 5.59/2.14 % (7846)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.59/2.14 % (7846)Termination reason: Unknown
% 5.59/2.14 % (7846)Termination phase: Property scanning
% 5.59/2.14
% 5.59/2.14 % (7846)Memory used [KB]: 1279
% 5.59/2.14 % (7846)Time elapsed: 0.007 s
% 5.59/2.14 % (7846)Instructions burned: 12 (million)
% 5.59/2.14 % (7846)------------------------------
% 5.59/2.14 % (7846)------------------------------
% 5.59/2.14 % (7845)Instruction limit reached!
% 5.59/2.14 % (7845)------------------------------
% 5.59/2.14 % (7845)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.59/2.14 % (7845)Termination reason: Unknown
% 5.59/2.14 % (7845)Termination phase: Saturation
% 5.59/2.14
% 5.59/2.14 % (7845)Memory used [KB]: 6140
% 5.59/2.14 % (7845)Time elapsed: 0.036 s
% 5.59/2.14 % (7845)Instructions burned: 84 (million)
% 5.59/2.14 % (7845)------------------------------
% 5.59/2.14 % (7845)------------------------------
% 5.59/2.14 % (7847)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_7654 for (2994ds/41Mi)
% 5.59/2.14 % (7848)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_7654 for (2994ds/6Mi)
% 5.59/2.14 % (7848)Instruction limit reached!
% 5.59/2.14 % (7848)------------------------------
% 5.59/2.14 % (7848)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.59/2.14 % (7848)Termination reason: Unknown
% 5.59/2.14 % (7848)Termination phase: shuffling
% 5.59/2.14
% 5.59/2.14 % (7848)Memory used [KB]: 1151
% 5.59/2.14 % (7848)Time elapsed: 0.004 s
% 5.59/2.14 % (7848)Instructions burned: 6 (million)
% 5.59/2.14 % (7848)------------------------------
% 5.59/2.14 % (7848)------------------------------
% 5.59/2.15 % (7849)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_7654 for (2994ds/150Mi)
% 5.59/2.15 % (7850)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_7654 for (2994ds/343Mi)
% 5.59/2.16 % (7851)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_7654 for (2994ds/109Mi)
% 5.59/2.16 % (7847)Instruction limit reached!
% 5.59/2.16 % (7847)------------------------------
% 5.59/2.16 % (7847)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.59/2.16 % (7847)Termination reason: Unknown
% 5.59/2.16 % (7847)Termination phase: Saturation
% 5.59/2.16
% 5.59/2.16 % (7847)Memory used [KB]: 5884
% 5.59/2.16 % (7847)Time elapsed: 0.020 s
% 5.59/2.16 % (7847)Instructions burned: 43 (million)
% 5.59/2.16 % (7847)------------------------------
% 5.59/2.16 % (7847)------------------------------
% 5.59/2.16 % (7852)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_7654 for (2994ds/253Mi)
% 5.59/2.18 % (7853)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_7654 for (2994ds/140Mi)
% 5.81/2.20 % (7851)Instruction limit reached!
% 5.81/2.20 % (7851)------------------------------
% 5.81/2.20 % (7851)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.81/2.20 % (7851)Termination reason: Unknown
% 5.81/2.20 % (7851)Termination phase: Saturation
% 5.81/2.20
% 5.81/2.20 % (7851)Memory used [KB]: 6140
% 5.81/2.20 % (7851)Time elapsed: 0.046 s
% 5.81/2.20 % (7851)Instructions burned: 110 (million)
% 5.81/2.20 % (7851)------------------------------
% 5.81/2.20 % (7851)------------------------------
% 5.81/2.21 % (7849)Instruction limit reached!
% 5.81/2.21 % (7849)------------------------------
% 5.81/2.21 % (7849)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.81/2.21 % (7849)Termination reason: Unknown
% 5.81/2.21 % (7849)Termination phase: Saturation
% 5.81/2.21
% 5.81/2.21 % (7849)Memory used [KB]: 6524
% 5.81/2.21 % (7849)Time elapsed: 0.063 s
% 5.81/2.21 % (7849)Instructions burned: 150 (million)
% 5.81/2.21 % (7849)------------------------------
% 5.81/2.21 % (7849)------------------------------
% 5.81/2.21 % (7850)Refutation not found, incomplete strategy
% 5.81/2.21 % (7850)------------------------------
% 5.81/2.21 % (7850)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.81/2.21 % (7850)Termination reason: Refutation not found, incomplete strategy
% 5.81/2.21
% 5.81/2.21
% 5.81/2.21 % (7850)Memory used [KB]: 6140
% 5.81/2.21 % (7850)Time elapsed: 0.059 s
% 5.81/2.21 % (7850)Instructions burned: 141 (million)
% 5.81/2.21 % (7850)------------------------------
% 5.81/2.21 % (7850)------------------------------
% 5.81/2.22 % (7852)Refutation not found, incomplete strategy
% 5.81/2.22 % (7852)------------------------------
% 5.81/2.22 % (7852)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.81/2.22 % (7852)Termination reason: Refutation not found, incomplete strategy
% 5.81/2.22
% 5.81/2.22
% 5.81/2.22 % (7852)Memory used [KB]: 6268
% 5.81/2.22 % (7852)Time elapsed: 0.058 s
% 5.81/2.22 % (7852)Instructions burned: 140 (million)
% 5.81/2.22 % (7852)------------------------------
% 5.81/2.22 % (7852)------------------------------
% 5.81/2.22 % (7854)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_7654 for (2994ds/614Mi)
% 5.81/2.23 % (7855)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_7654 for (2993ds/202Mi)
% 5.81/2.23 % (7856)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_7654 for (2993ds/339Mi)
% 5.81/2.23 % (7853)Instruction limit reached!
% 5.81/2.23 % (7853)------------------------------
% 5.81/2.23 % (7853)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.81/2.23 % (7853)Termination reason: Unknown
% 5.81/2.23 % (7853)Termination phase: Saturation
% 5.81/2.23
% 5.81/2.23 % (7853)Memory used [KB]: 6268
% 5.81/2.23 % (7853)Time elapsed: 0.059 s
% 5.81/2.23 % (7853)Instructions burned: 141 (million)
% 5.81/2.23 % (7853)------------------------------
% 5.81/2.23 % (7853)------------------------------
% 5.81/2.23 % (7857)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_7654 for (2993ds/283Mi)
% 5.81/2.24 % (7839)Instruction limit reached!
% 5.81/2.24 % (7839)------------------------------
% 5.81/2.24 % (7839)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.81/2.24 % (7839)Termination reason: Unknown
% 5.81/2.24 % (7839)Termination phase: Saturation
% 5.81/2.24
% 5.81/2.24 % (7839)Memory used [KB]: 2558
% 5.81/2.24 % (7839)Time elapsed: 0.198 s
% 5.81/2.24 % (7855)Refutation not found, incomplete strategy
% 5.81/2.24 % (7855)------------------------------
% 5.81/2.24 % (7855)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.81/2.24 % (7839)Instructions burned: 432 (million)
% 5.81/2.24 % (7839)------------------------------
% 5.81/2.24 % (7839)------------------------------
% 5.81/2.24 % (7855)Termination reason: Refutation not found, incomplete strategy
% 5.81/2.24
% 5.81/2.24
% 5.81/2.24 % (7855)Memory used [KB]: 5884
% 5.81/2.24 % (7855)Time elapsed: 0.015 s
% 5.81/2.24 % (7855)Instructions burned: 31 (million)
% 5.81/2.24 % (7855)------------------------------
% 5.81/2.24 % (7855)------------------------------
% 5.81/2.25 % (7858)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_7654 for (2993ds/134Mi)
% 5.81/2.26 % (7859)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_7654 for (2993ds/298Mi)
% 5.81/2.26 % (7860)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_7654 for (2993ds/192Mi)
% 5.81/2.29 % (7843)Instruction limit reached!
% 5.81/2.29 % (7843)------------------------------
% 5.81/2.29 % (7843)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.81/2.29 % (7843)Termination reason: Unknown
% 5.81/2.29 % (7843)Termination phase: Saturation
% 5.81/2.29
% 5.81/2.29 % (7843)Memory used [KB]: 6780
% 5.81/2.29 % (7843)Time elapsed: 0.200 s
% 5.81/2.29 % (7843)Instructions burned: 453 (million)
% 5.81/2.29 % (7843)------------------------------
% 5.81/2.29 % (7843)------------------------------
% 6.62/2.30 % (7858)Instruction limit reached!
% 6.62/2.30 % (7858)------------------------------
% 6.62/2.30 % (7858)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.30 % (7858)Termination reason: Unknown
% 6.62/2.30 % (7858)Termination phase: Saturation
% 6.62/2.30
% 6.62/2.30 % (7858)Memory used [KB]: 6268
% 6.62/2.30 % (7858)Time elapsed: 0.056 s
% 6.62/2.30 % (7858)Instructions burned: 136 (million)
% 6.62/2.30 % (7858)------------------------------
% 6.62/2.30 % (7858)------------------------------
% 6.62/2.31 % (7856)Refutation not found, incomplete strategy
% 6.62/2.31 % (7856)------------------------------
% 6.62/2.31 % (7856)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.31 % (7856)Termination reason: Refutation not found, incomplete strategy
% 6.62/2.31
% 6.62/2.31
% 6.62/2.31 % (7856)Memory used [KB]: 6524
% 6.62/2.31 % (7856)Time elapsed: 0.080 s
% 6.62/2.31 % (7856)Instructions burned: 191 (million)
% 6.62/2.31 % (7856)------------------------------
% 6.62/2.31 % (7856)------------------------------
% 6.62/2.31 % (7861)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_7654 for (2993ds/258Mi)
% 6.62/2.32 % (7862)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_7654 for (2993ds/90Mi)
% 6.62/2.32 % (7863)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_7654 for (2993ds/231Mi)
% 6.62/2.33 % (7860)Instruction limit reached!
% 6.62/2.33 % (7860)------------------------------
% 6.62/2.33 % (7860)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.33 % (7860)Termination reason: Unknown
% 6.62/2.33 % (7860)Termination phase: Saturation
% 6.62/2.33
% 6.62/2.33 % (7860)Memory used [KB]: 6524
% 6.62/2.33 % (7860)Time elapsed: 0.078 s
% 6.62/2.33 % (7860)Instructions burned: 192 (million)
% 6.62/2.33 % (7860)------------------------------
% 6.62/2.33 % (7860)------------------------------
% 6.62/2.35 % (7864)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_7654 for (2992ds/458Mi)
% 6.62/2.36 % (7862)Instruction limit reached!
% 6.62/2.36 % (7862)------------------------------
% 6.62/2.36 % (7862)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.36 % (7862)Termination reason: Unknown
% 6.62/2.36 % (7862)Termination phase: Saturation
% 6.62/2.36
% 6.62/2.36 % (7862)Memory used [KB]: 6396
% 6.62/2.36 % (7862)Time elapsed: 0.043 s
% 6.62/2.36 % (7862)Instructions burned: 90 (million)
% 6.62/2.36 % (7862)------------------------------
% 6.62/2.36 % (7862)------------------------------
% 6.62/2.36 % (7857)Instruction limit reached!
% 6.62/2.36 % (7857)------------------------------
% 6.62/2.36 % (7857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.36 % (7857)Termination reason: Unknown
% 6.62/2.36 % (7857)Termination phase: Saturation
% 6.62/2.36
% 6.62/2.36 % (7857)Memory used [KB]: 6780
% 6.62/2.36 % (7857)Time elapsed: 0.129 s
% 6.62/2.36 % (7857)Instructions burned: 284 (million)
% 6.62/2.36 % (7857)------------------------------
% 6.62/2.36 % (7857)------------------------------
% 6.62/2.37 % (7859)Instruction limit reached!
% 6.62/2.37 % (7859)------------------------------
% 6.62/2.37 % (7859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.37 % (7859)Termination reason: Unknown
% 6.62/2.37 % (7859)Termination phase: Saturation
% 6.62/2.37
% 6.62/2.37 % (7859)Memory used [KB]: 6908
% 6.62/2.37 % (7859)Time elapsed: 0.121 s
% 6.62/2.37 % (7859)Instructions burned: 298 (million)
% 6.62/2.37 % (7859)------------------------------
% 6.62/2.37 % (7859)------------------------------
% 6.62/2.38 % (7865)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_7654 for (2992ds/31Mi)
% 6.62/2.38 % (7866)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_7654 for (2992ds/297Mi)
% 6.62/2.39 % (7865)Instruction limit reached!
% 6.62/2.39 % (7865)------------------------------
% 6.62/2.39 % (7865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.62/2.39 % (7865)Termination reason: Unknown
% 6.62/2.39 % (7865)Termination phase: Property scanning
% 6.62/2.39
% 6.62/2.39 % (7865)Memory used [KB]: 1279
% 6.62/2.39 % (7865)Time elapsed: 0.015 s
% 6.62/2.39 % (7865)Instructions burned: 31 (million)
% 6.62/2.39 % (7865)------------------------------
% 6.62/2.39 % (7865)------------------------------
% 6.62/2.39 % (7867)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_7654 for (2992ds/987Mi)
% 7.25/2.41 % (7868)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_7654 for (2992ds/182Mi)
% 7.25/2.41 % (7861)Instruction limit reached!
% 7.25/2.41 % (7861)------------------------------
% 7.25/2.41 % (7861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.41 % (7861)Termination reason: Unknown
% 7.25/2.41 % (7861)Termination phase: Saturation
% 7.25/2.41
% 7.25/2.41 % (7861)Memory used [KB]: 6652
% 7.25/2.41 % (7861)Time elapsed: 0.105 s
% 7.25/2.41 % (7861)Instructions burned: 258 (million)
% 7.25/2.41 % (7861)------------------------------
% 7.25/2.41 % (7861)------------------------------
% 7.25/2.43 % (7869)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_7654 for (2992ds/182Mi)
% 7.25/2.43 % (7863)Instruction limit reached!
% 7.25/2.43 % (7863)------------------------------
% 7.25/2.43 % (7863)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.43 % (7863)Termination reason: Unknown
% 7.25/2.43 % (7863)Termination phase: Saturation
% 7.25/2.43
% 7.25/2.43 % (7863)Memory used [KB]: 6652
% 7.25/2.43 % (7863)Time elapsed: 0.110 s
% 7.25/2.43 % (7863)Instructions burned: 232 (million)
% 7.25/2.43 % (7863)------------------------------
% 7.25/2.43 % (7863)------------------------------
% 7.25/2.45 % (7870)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_7654 for (2991ds/154Mi)
% 7.25/2.46 % (7854)Instruction limit reached!
% 7.25/2.46 % (7854)------------------------------
% 7.25/2.46 % (7854)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.46 % (7854)Termination reason: Unknown
% 7.25/2.46 % (7854)Termination phase: Saturation
% 7.25/2.46
% 7.25/2.46 % (7854)Memory used [KB]: 8187
% 7.25/2.46 % (7854)Time elapsed: 0.247 s
% 7.25/2.46 % (7854)Instructions burned: 615 (million)
% 7.25/2.46 % (7854)------------------------------
% 7.25/2.46 % (7854)------------------------------
% 7.25/2.48 % (7868)Instruction limit reached!
% 7.25/2.48 % (7868)------------------------------
% 7.25/2.48 % (7868)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.25/2.48 % (7871)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_7654 for (2991ds/79Mi)
% 7.25/2.48 % (7868)Termination reason: Unknown
% 7.25/2.48 % (7868)Termination phase: Saturation
% 7.25/2.48
% 7.25/2.48 % (7868)Memory used [KB]: 6524
% 7.25/2.48 % (7868)Time elapsed: 0.075 s
% 7.25/2.48 % (7868)Instructions burned: 184 (million)
% 7.25/2.48 % (7868)------------------------------
% 7.25/2.48 % (7868)------------------------------
% 7.84/2.50 % (7872)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_7654 for (2991ds/216Mi)
% 7.84/2.50 % (7866)Instruction limit reached!
% 7.84/2.50 % (7866)------------------------------
% 7.84/2.50 % (7866)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.50 % (7866)Termination reason: Unknown
% 7.84/2.50 % (7866)Termination phase: Saturation
% 7.84/2.50
% 7.84/2.50 % (7866)Memory used [KB]: 6524
% 7.84/2.50 % (7866)Time elapsed: 0.121 s
% 7.84/2.50 % (7866)Instructions burned: 299 (million)
% 7.84/2.50 % (7866)------------------------------
% 7.84/2.50 % (7866)------------------------------
% 7.84/2.51 % (7870)Instruction limit reached!
% 7.84/2.51 % (7870)------------------------------
% 7.84/2.51 % (7870)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.51 % (7870)Termination reason: Unknown
% 7.84/2.51 % (7870)Termination phase: Saturation
% 7.84/2.51
% 7.84/2.51 % (7870)Memory used [KB]: 6524
% 7.84/2.51 % (7870)Time elapsed: 0.065 s
% 7.84/2.51 % (7870)Instructions burned: 154 (million)
% 7.84/2.51 % (7870)------------------------------
% 7.84/2.51 % (7870)------------------------------
% 7.84/2.51 % (7869)Instruction limit reached!
% 7.84/2.51 % (7869)------------------------------
% 7.84/2.51 % (7869)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.51 % (7869)Termination reason: Unknown
% 7.84/2.51 % (7869)Termination phase: Saturation
% 7.84/2.51
% 7.84/2.51 % (7869)Memory used [KB]: 6012
% 7.84/2.51 % (7869)Time elapsed: 0.087 s
% 7.84/2.51 % (7869)Instructions burned: 183 (million)
% 7.84/2.51 % (7869)------------------------------
% 7.84/2.51 % (7869)------------------------------
% 7.84/2.51 % (7873)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_7654 for (2991ds/114Mi)
% 7.84/2.51 % (7871)Instruction limit reached!
% 7.84/2.51 % (7871)------------------------------
% 7.84/2.51 % (7871)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.51 % (7871)Termination reason: Unknown
% 7.84/2.51 % (7871)Termination phase: Saturation
% 7.84/2.51
% 7.84/2.51 % (7871)Memory used [KB]: 6268
% 7.84/2.51 % (7871)Time elapsed: 0.036 s
% 7.84/2.51 % (7871)Instructions burned: 79 (million)
% 7.84/2.51 % (7871)------------------------------
% 7.84/2.51 % (7871)------------------------------
% 7.84/2.53 % (7874)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_7654 for (2991ds/922Mi)
% 7.84/2.53 % (7875)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_7654 for (2991ds/182Mi)
% 7.84/2.53 % (7876)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_7654 for (2991ds/164Mi)
% 7.84/2.53 % (7864)Instruction limit reached!
% 7.84/2.53 % (7864)------------------------------
% 7.84/2.53 % (7864)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.53 % (7864)Termination reason: Unknown
% 7.84/2.53 % (7864)Termination phase: Saturation
% 7.84/2.53
% 7.84/2.53 % (7864)Memory used [KB]: 7803
% 7.84/2.53 % (7864)Time elapsed: 0.187 s
% 7.84/2.53 % (7864)Instructions burned: 459 (million)
% 7.84/2.53 % (7864)------------------------------
% 7.84/2.53 % (7864)------------------------------
% 7.84/2.55 % (7877)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_7654 for (2990ds/50Mi)
% 7.84/2.56 % (7873)Instruction limit reached!
% 7.84/2.56 % (7873)------------------------------
% 7.84/2.56 % (7873)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.56 % (7873)Termination reason: Unknown
% 7.84/2.56 % (7873)Termination phase: Saturation
% 7.84/2.56
% 7.84/2.56 % (7873)Memory used [KB]: 6140
% 7.84/2.56 % (7873)Time elapsed: 0.048 s
% 7.84/2.56 % (7873)Instructions burned: 114 (million)
% 7.84/2.56 % (7873)------------------------------
% 7.84/2.56 % (7873)------------------------------
% 7.84/2.57 % (7877)Instruction limit reached!
% 7.84/2.57 % (7877)------------------------------
% 7.84/2.57 % (7877)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.57 % (7877)Termination reason: Unknown
% 7.84/2.57 % (7877)Termination phase: Saturation
% 7.84/2.57
% 7.84/2.57 % (7877)Memory used [KB]: 10490
% 7.84/2.57 % (7877)Time elapsed: 0.024 s
% 7.84/2.57 % (7877)Instructions burned: 50 (million)
% 7.84/2.57 % (7877)------------------------------
% 7.84/2.57 % (7877)------------------------------
% 7.84/2.58 % (7878)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_7654 for (2990ds/368Mi)
% 7.84/2.59 % (7872)Instruction limit reached!
% 7.84/2.59 % (7872)------------------------------
% 7.84/2.59 % (7872)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.84/2.59 % (7872)Termination reason: Unknown
% 7.84/2.59 % (7872)Termination phase: Saturation
% 7.84/2.59
% 7.84/2.59 % (7872)Memory used [KB]: 6524
% 7.84/2.59 % (7872)Time elapsed: 0.092 s
% 7.84/2.59 % (7872)Instructions burned: 217 (million)
% 7.84/2.59 % (7872)------------------------------
% 7.84/2.59 % (7872)------------------------------
% 7.84/2.59 % (7879)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_7654 for (2990ds/1021Mi)
% 8.62/2.60 % (7874)Refutation not found, incomplete strategy
% 8.62/2.60 % (7874)------------------------------
% 8.62/2.60 % (7874)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.62/2.60 % (7876)Instruction limit reached!
% 8.62/2.60 % (7876)------------------------------
% 8.62/2.60 % (7876)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.62/2.60 % (7876)Termination reason: Unknown
% 8.62/2.60 % (7876)Termination phase: Saturation
% 8.62/2.60
% 8.62/2.60 % (7876)Memory used [KB]: 2046
% 8.62/2.60 % (7876)Time elapsed: 0.091 s
% 8.62/2.60 % (7876)Instructions burned: 164 (million)
% 8.62/2.60 % (7876)------------------------------
% 8.62/2.60 % (7876)------------------------------
% 8.62/2.60 % (7874)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.60
% 8.62/2.60
% 8.62/2.60 % (7874)Memory used [KB]: 7036
% 8.62/2.60 % (7874)Time elapsed: 0.092 s
% 8.62/2.60 % (7874)Instructions burned: 168 (million)
% 8.62/2.60 % (7874)------------------------------
% 8.62/2.60 % (7874)------------------------------
% 8.62/2.60 % (7880)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_7654 for (2990ds/267Mi)
% 8.62/2.61 % (7875)Instruction limit reached!
% 8.62/2.61 % (7875)------------------------------
% 8.62/2.61 % (7875)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.62/2.61 % (7875)Termination reason: Unknown
% 8.62/2.61 % (7875)Termination phase: Saturation
% 8.62/2.61
% 8.62/2.61 % (7875)Memory used [KB]: 6524
% 8.62/2.61 % (7875)Time elapsed: 0.079 s
% 8.62/2.61 % (7875)Instructions burned: 183 (million)
% 8.62/2.61 % (7875)------------------------------
% 8.62/2.61 % (7875)------------------------------
% 8.62/2.61 % (7881)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_7654 for (2990ds/204Mi)
% 8.62/2.61 % (7882)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_7654 for (2990ds/26Mi)
% 8.62/2.62 % (7883)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_7654 for (2989ds/53Mi)
% 8.62/2.63 % (7882)Instruction limit reached!
% 8.62/2.63 % (7882)------------------------------
% 8.62/2.63 % (7882)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.62/2.63 % (7882)Termination reason: Unknown
% 8.62/2.63 % (7882)Termination phase: Saturation
% 8.62/2.63
% 8.62/2.63 % (7882)Memory used [KB]: 5884
% 8.62/2.63 % (7882)Time elapsed: 0.013 s
% 8.62/2.63 % (7882)Instructions burned: 26 (million)
% 8.62/2.63 % (7882)------------------------------
% 8.62/2.63 % (7882)------------------------------
% 8.62/2.64 % (7884)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_7654 for (2989ds/4436Mi)
% 8.62/2.65 % (7883)Instruction limit reached!
% 8.62/2.65 % (7883)------------------------------
% 8.62/2.65 % (7883)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.62/2.65 % (7883)Termination reason: Unknown
% 8.62/2.65 % (7883)Termination phase: Saturation
% 8.62/2.65
% 8.62/2.65 % (7883)Memory used [KB]: 6012
% 8.62/2.65 % (7883)Time elapsed: 0.024 s
% 8.62/2.65 % (7883)Instructions burned: 54 (million)
% 8.62/2.65 % (7883)------------------------------
% 8.62/2.65 % (7883)------------------------------
% 8.62/2.66 % (7885)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_7654 for (2989ds/1539Mi)
% 8.62/2.67 % (7884)Refutation not found, incomplete strategy
% 8.62/2.67 % (7884)------------------------------
% 8.62/2.67 % (7884)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.62/2.67 % (7884)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.67
% 8.62/2.67
% 8.62/2.67 % (7884)Memory used [KB]: 6140
% 8.62/2.67 % (7884)Time elapsed: 0.034 s
% 8.62/2.67 % (7884)Instructions burned: 77 (million)
% 8.62/2.67 % (7884)------------------------------
% 8.62/2.67 % (7884)------------------------------
% 8.62/2.68 % (7881)Refutation not found, incomplete strategy
% 8.62/2.68 % (7881)------------------------------
% 8.62/2.68 % (7881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.62/2.68 % (7881)Termination reason: Refutation not found, incomplete strategy
% 8.62/2.68
% 8.62/2.68
% 8.62/2.68 % (7881)Memory used [KB]: 6524
% 8.62/2.68 % (7881)Time elapsed: 0.070 s
% 8.62/2.68 % (7881)Instructions burned: 163 (million)
% 8.62/2.68 % (7881)------------------------------
% 8.62/2.68 % (7881)------------------------------
% 8.62/2.69 % (7886)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_7654 for (2989ds/408Mi)
% 9.08/2.70 % (7887)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_7654 for (2989ds/5205Mi)
% 9.08/2.72 % (7880)Instruction limit reached!
% 9.08/2.72 % (7880)------------------------------
% 9.08/2.72 % (7880)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.08/2.72 % (7880)Termination reason: Unknown
% 9.08/2.73 % (7880)Termination phase: Saturation
% 9.08/2.73
% 9.08/2.73 % (7880)Memory used [KB]: 6780
% 9.08/2.73 % (7880)Time elapsed: 0.123 s
% 9.08/2.73 % (7880)Instructions burned: 267 (million)
% 9.08/2.73 % (7880)------------------------------
% 9.08/2.73 % (7880)------------------------------
% 9.08/2.73 % (7878)Instruction limit reached!
% 9.08/2.73 % (7878)------------------------------
% 9.08/2.73 % (7878)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.08/2.73 % (7878)Termination reason: Unknown
% 9.08/2.73 % (7878)Termination phase: Saturation
% 9.08/2.73
% 9.08/2.73 % (7878)Memory used [KB]: 6908
% 9.08/2.73 % (7878)Time elapsed: 0.151 s
% 9.08/2.73 % (7878)Instructions burned: 368 (million)
% 9.08/2.73 % (7878)------------------------------
% 9.08/2.73 % (7878)------------------------------
% 9.08/2.74 % (7889)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_7654 for (2988ds/4350Mi)
% 9.08/2.74 % (7888)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_7654 for (2988ds/1913Mi)
% 9.39/2.81 % (7888)Refutation not found, incomplete strategy
% 9.39/2.81 % (7888)------------------------------
% 9.39/2.81 % (7888)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.81 % (7888)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.81
% 9.39/2.81
% 9.39/2.81 % (7888)Memory used [KB]: 1791
% 9.39/2.81 % (7888)Time elapsed: 0.066 s
% 9.39/2.81 % (7888)Instructions burned: 156 (million)
% 9.39/2.81 % (7888)------------------------------
% 9.39/2.81 % (7888)------------------------------
% 9.39/2.82 % (7890)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_7654 for (2987ds/68Mi)
% 9.39/2.84 % (7867)Instruction limit reached!
% 9.39/2.84 % (7867)------------------------------
% 9.39/2.84 % (7867)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.84 % (7867)Termination reason: Unknown
% 9.39/2.84 % (7867)Termination phase: Saturation
% 9.39/2.84
% 9.39/2.84 % (7867)Memory used [KB]: 7675
% 9.39/2.84 % (7867)Time elapsed: 0.450 s
% 9.39/2.84 % (7867)Instructions burned: 988 (million)
% 9.39/2.84 % (7867)------------------------------
% 9.39/2.84 % (7867)------------------------------
% 9.39/2.85 % (7886)Instruction limit reached!
% 9.39/2.85 % (7886)------------------------------
% 9.39/2.85 % (7886)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.85 % (7886)Termination reason: Unknown
% 9.39/2.85 % (7886)Termination phase: Saturation
% 9.39/2.85
% 9.39/2.85 % (7886)Memory used [KB]: 6012
% 9.39/2.85 % (7886)Time elapsed: 0.156 s
% 9.39/2.85 % (7886)Instructions burned: 408 (million)
% 9.39/2.85 % (7886)------------------------------
% 9.39/2.85 % (7886)------------------------------
% 9.39/2.85 % (7890)Instruction limit reached!
% 9.39/2.85 % (7890)------------------------------
% 9.39/2.85 % (7890)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.85 % (7890)Termination reason: Unknown
% 9.39/2.85 % (7890)Termination phase: Saturation
% 9.39/2.85
% 9.39/2.85 % (7890)Memory used [KB]: 6140
% 9.39/2.85 % (7890)Time elapsed: 0.031 s
% 9.39/2.85 % (7890)Instructions burned: 69 (million)
% 9.39/2.85 % (7890)------------------------------
% 9.39/2.85 % (7890)------------------------------
% 9.39/2.86 % (7891)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_7654 for (2987ds/358Mi)
% 9.39/2.86 % (7892)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_7654 for (2987ds/31Mi)
% 9.39/2.87 % (7893)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_7654 for (2987ds/279Mi)
% 9.39/2.88 % (7892)Instruction limit reached!
% 9.39/2.88 % (7892)------------------------------
% 9.39/2.88 % (7892)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.39/2.88 % (7892)Termination reason: Unknown
% 9.39/2.88 % (7892)Termination phase: Property scanning
% 9.39/2.88
% 9.39/2.88 % (7892)Memory used [KB]: 1279
% 9.39/2.88 % (7892)Time elapsed: 0.015 s
% 9.39/2.88 % (7892)Instructions burned: 32 (million)
% 9.39/2.88 % (7892)------------------------------
% 9.39/2.88 % (7892)------------------------------
% 9.39/2.89 % (7894)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_7654 for (2987ds/258Mi)
% 10.17/2.92 % (7891)Refutation not found, incomplete strategy
% 10.17/2.92 % (7891)------------------------------
% 10.17/2.92 % (7891)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.17/2.92 % (7891)Termination reason: Refutation not found, incomplete strategy
% 10.17/2.92
% 10.17/2.92
% 10.17/2.92 % (7891)Memory used [KB]: 6524
% 10.17/2.92 % (7891)Time elapsed: 0.069 s
% 10.17/2.92 % (7891)Instructions burned: 161 (million)
% 10.17/2.92 % (7891)------------------------------
% 10.17/2.92 % (7891)------------------------------
% 10.17/2.94 % (7895)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_7654 for (2986ds/26Mi)
% 10.17/2.95 % (7895)Instruction limit reached!
% 10.17/2.95 % (7895)------------------------------
% 10.17/2.95 % (7895)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.17/2.95 % (7895)Termination reason: Unknown
% 10.17/2.95 % (7895)Termination phase: Saturation
% 10.17/2.95
% 10.17/2.95 % (7895)Memory used [KB]: 5884
% 10.17/2.95 % (7895)Time elapsed: 0.014 s
% 10.17/2.95 % (7895)Instructions burned: 26 (million)
% 10.17/2.95 % (7895)------------------------------
% 10.17/2.95 % (7895)------------------------------
% 10.17/2.97 % (7896)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_7654 for (2986ds/995Mi)
% 10.17/2.98 % (7893)Instruction limit reached!
% 10.17/2.98 % (7893)------------------------------
% 10.17/2.98 % (7893)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.17/2.99 % (7893)Termination reason: Unknown
% 10.17/2.99 % (7893)Termination phase: Saturation
% 10.17/2.99
% 10.17/2.99 % (7893)Memory used [KB]: 6524
% 10.17/2.99 % (7893)Time elapsed: 0.118 s
% 10.17/2.99 % (7893)Instructions burned: 280 (million)
% 10.17/2.99 % (7893)------------------------------
% 10.17/2.99 % (7893)------------------------------
% 10.17/3.00 % (7897)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_7654 for (2986ds/373Mi)
% 10.17/3.00 % (7894)Instruction limit reached!
% 10.17/3.00 % (7894)------------------------------
% 10.17/3.00 % (7894)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.17/3.00 % (7894)Termination reason: Unknown
% 10.17/3.00 % (7894)Termination phase: Saturation
% 10.17/3.00
% 10.17/3.00 % (7894)Memory used [KB]: 6140
% 10.17/3.00 % (7894)Time elapsed: 0.114 s
% 10.17/3.00 % (7894)Instructions burned: 259 (million)
% 10.17/3.00 % (7894)------------------------------
% 10.17/3.00 % (7894)------------------------------
% 10.17/3.01 % (7879)Instruction limit reached!
% 10.17/3.01 % (7879)------------------------------
% 10.17/3.01 % (7879)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.17/3.01 % (7879)Termination reason: Unknown
% 10.17/3.01 % (7879)Termination phase: Saturation
% 10.17/3.01
% 10.17/3.01 % (7879)Memory used [KB]: 8699
% 10.17/3.01 % (7879)Time elapsed: 0.418 s
% 10.17/3.01 % (7879)Instructions burned: 1023 (million)
% 10.17/3.01 % (7879)------------------------------
% 10.17/3.01 % (7879)------------------------------
% 10.17/3.02 % (7898)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_7654 for (2986ds/253Mi)
% 10.17/3.02 % (7899)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_7654 for (2986ds/832Mi)
% 12.06/3.04 % (7899)Refutation not found, incomplete strategy
% 12.06/3.04 % (7899)------------------------------
% 12.06/3.04 % (7899)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.06/3.04 % (7899)Termination reason: Refutation not found, incomplete strategy
% 12.06/3.04
% 12.06/3.04
% 12.06/3.04 % (7899)Memory used [KB]: 5884
% 12.06/3.04 % (7899)Time elapsed: 0.016 s
% 12.06/3.04 % (7899)Instructions burned: 33 (million)
% 12.06/3.04 % (7899)------------------------------
% 12.06/3.04 % (7899)------------------------------
% 12.06/3.05 % (7900)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_7654 for (2985ds/668Mi)
% 12.61/3.13 % (7898)Instruction limit reached!
% 12.61/3.13 % (7898)------------------------------
% 12.61/3.13 % (7898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.61/3.13 % (7898)Termination reason: Unknown
% 12.61/3.13 % (7898)Termination phase: Saturation
% 12.61/3.13
% 12.61/3.13 % (7898)Memory used [KB]: 6908
% 12.61/3.13 % (7898)Time elapsed: 0.111 s
% 12.61/3.13 % (7898)Instructions burned: 253 (million)
% 12.61/3.13 % (7898)------------------------------
% 12.61/3.13 % (7898)------------------------------
% 12.61/3.15 % (7901)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_7654 for (2984ds/40Mi)
% 12.61/3.16 % (7897)Instruction limit reached!
% 12.61/3.16 % (7897)------------------------------
% 12.61/3.16 % (7897)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.61/3.16 % (7897)Termination reason: Unknown
% 12.61/3.16 % (7897)Termination phase: Saturation
% 12.61/3.16
% 12.61/3.16 % (7897)Memory used [KB]: 7675
% 12.61/3.16 % (7897)Time elapsed: 0.156 s
% 12.61/3.16 % (7897)Instructions burned: 374 (million)
% 12.61/3.16 % (7897)------------------------------
% 12.61/3.16 % (7897)------------------------------
% 12.61/3.16 % (7901)Instruction limit reached!
% 12.61/3.16 % (7901)------------------------------
% 12.61/3.16 % (7901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.61/3.16 % (7901)Termination reason: Unknown
% 12.61/3.16 % (7901)Termination phase: Saturation
% 12.61/3.16
% 12.61/3.16 % (7901)Memory used [KB]: 5884
% 12.61/3.16 % (7901)Time elapsed: 0.020 s
% 12.61/3.16 % (7901)Instructions burned: 41 (million)
% 12.61/3.16 % (7901)------------------------------
% 12.61/3.16 % (7901)------------------------------
% 12.61/3.17 % (7902)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_7654 for (2984ds/294Mi)
% 12.61/3.18 % (7903)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_7654 for (2984ds/187Mi)
% 13.09/3.26 % (7903)Instruction limit reached!
% 13.09/3.26 % (7903)------------------------------
% 13.09/3.26 % (7903)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.09/3.26 % (7903)Termination reason: Unknown
% 13.09/3.26 % (7903)Termination phase: Saturation
% 13.09/3.26
% 13.09/3.26 % (7903)Memory used [KB]: 6524
% 13.09/3.26 % (7903)Time elapsed: 0.077 s
% 13.09/3.26 % (7903)Instructions burned: 187 (million)
% 13.09/3.26 % (7903)------------------------------
% 13.09/3.26 % (7903)------------------------------
% 13.09/3.27 % (7904)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_7654 for (2983ds/371Mi)
% 13.09/3.29 % (7902)Instruction limit reached!
% 13.09/3.29 % (7902)------------------------------
% 13.09/3.29 % (7902)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.09/3.29 % (7902)Termination reason: Unknown
% 13.09/3.29 % (7902)Termination phase: Saturation
% 13.09/3.29
% 13.09/3.29 % (7902)Memory used [KB]: 6652
% 13.09/3.29 % (7902)Time elapsed: 0.124 s
% 13.09/3.29 % (7902)Instructions burned: 294 (million)
% 13.09/3.29 % (7902)------------------------------
% 13.09/3.29 % (7902)------------------------------
% 13.71/3.31 % (7905)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_7654 for (2983ds/1827Mi)
% 13.71/3.31 % (7885)Instruction limit reached!
% 13.71/3.31 % (7885)------------------------------
% 13.71/3.31 % (7885)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.32 % (7885)Termination reason: Unknown
% 13.71/3.32 % (7885)Termination phase: Saturation
% 13.71/3.32
% 13.71/3.32 % (7885)Memory used [KB]: 9978
% 13.71/3.32 % (7885)Time elapsed: 0.655 s
% 13.71/3.32 % (7885)Instructions burned: 1540 (million)
% 13.71/3.32 % (7885)------------------------------
% 13.71/3.32 % (7885)------------------------------
% 13.71/3.33 % (7904)Refutation not found, incomplete strategy
% 13.71/3.33 % (7904)------------------------------
% 13.71/3.33 % (7904)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.33 % (7904)Termination reason: Refutation not found, incomplete strategy
% 13.71/3.33
% 13.71/3.33
% 13.71/3.33 % (7904)Memory used [KB]: 6140
% 13.71/3.33 % (7904)Time elapsed: 0.058 s
% 13.71/3.33 % (7904)Instructions burned: 135 (million)
% 13.71/3.33 % (7904)------------------------------
% 13.71/3.33 % (7904)------------------------------
% 13.71/3.33 % (7906)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_7654 for (2982ds/70Mi)
% 13.71/3.34 % (7900)Instruction limit reached!
% 13.71/3.34 % (7900)------------------------------
% 13.71/3.34 % (7900)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.34 % (7900)Termination reason: Unknown
% 13.71/3.34 % (7900)Termination phase: Saturation
% 13.71/3.34
% 13.71/3.34 % (7900)Memory used [KB]: 11513
% 13.71/3.34 % (7900)Time elapsed: 0.289 s
% 13.71/3.34 % (7900)Instructions burned: 668 (million)
% 13.71/3.34 % (7900)------------------------------
% 13.71/3.34 % (7900)------------------------------
% 13.71/3.35 % (7907)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_7654 for (2982ds/316Mi)
% 13.71/3.36 % (7908)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_7654 for (2982ds/932Mi)
% 13.71/3.36 % (7906)Instruction limit reached!
% 13.71/3.36 % (7906)------------------------------
% 13.71/3.36 % (7906)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.36 % (7906)Termination reason: Unknown
% 13.71/3.36 % (7906)Termination phase: Saturation
% 13.71/3.36
% 13.71/3.36 % (7906)Memory used [KB]: 1663
% 13.71/3.36 % (7906)Time elapsed: 0.031 s
% 13.71/3.36 % (7906)Instructions burned: 70 (million)
% 13.71/3.36 % (7906)------------------------------
% 13.71/3.36 % (7906)------------------------------
% 13.71/3.38 % (7909)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_7654 for (2982ds/4714Mi)
% 13.71/3.38 % (7896)Instruction limit reached!
% 13.71/3.38 % (7896)------------------------------
% 13.71/3.38 % (7896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.71/3.38 % (7896)Termination reason: Unknown
% 13.71/3.38 % (7896)Termination phase: Saturation
% 13.71/3.38
% 13.71/3.38 % (7896)Memory used [KB]: 7036
% 13.71/3.38 % (7896)Time elapsed: 0.411 s
% 13.71/3.38 % (7896)Instructions burned: 995 (million)
% 13.71/3.38 % (7896)------------------------------
% 13.71/3.38 % (7896)------------------------------
% 14.45/3.40 % (7910)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_7654 for (2982ds/8250Mi)
% 14.45/3.48 % (7907)Instruction limit reached!
% 14.45/3.48 % (7907)------------------------------
% 14.45/3.48 % (7907)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.45/3.48 % (7907)Termination reason: Unknown
% 14.45/3.48 % (7907)Termination phase: Saturation
% 14.45/3.48
% 14.45/3.48 % (7907)Memory used [KB]: 6652
% 14.45/3.48 % (7907)Time elapsed: 0.136 s
% 14.45/3.48 % (7907)Instructions burned: 317 (million)
% 14.45/3.48 % (7907)------------------------------
% 14.45/3.48 % (7907)------------------------------
% 14.80/3.50 % (7911)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_7654 for (2981ds/770Mi)
% 15.00/3.65 % (7911)Refutation not found, incomplete strategy
% 15.00/3.65 % (7911)------------------------------
% 15.00/3.65 % (7911)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.00/3.65 % (7911)Termination reason: Refutation not found, incomplete strategy
% 15.00/3.65
% 15.00/3.65
% 15.00/3.65 % (7911)Memory used [KB]: 6140
% 15.00/3.65 % (7911)Time elapsed: 0.153 s
% 15.00/3.65 % (7911)Instructions burned: 390 (million)
% 15.00/3.65 % (7911)------------------------------
% 15.00/3.65 % (7911)------------------------------
% 15.00/3.67 % (7912)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_7654 for (2979ds/794Mi)
% 15.37/3.78 % (7908)Instruction limit reached!
% 15.37/3.78 % (7908)------------------------------
% 15.37/3.78 % (7908)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.37/3.78 % (7908)Termination reason: Unknown
% 15.37/3.78 % (7908)Termination phase: Saturation
% 15.37/3.78
% 15.37/3.78 % (7908)Memory used [KB]: 8187
% 15.37/3.78 % (7908)Time elapsed: 0.424 s
% 15.37/3.78 % (7908)Instructions burned: 934 (million)
% 15.37/3.78 % (7908)------------------------------
% 15.37/3.78 % (7908)------------------------------
% 16.00/3.81 % (7913)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_7654 for (2978ds/464Mi)
% 16.00/3.84 % (7909)First to succeed.
% 16.00/3.86 % (7912)Refutation not found, incomplete strategy
% 16.00/3.86 % (7912)------------------------------
% 16.00/3.86 % (7912)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.00/3.86 % (7912)Termination reason: Refutation not found, incomplete strategy
% 16.00/3.86
% 16.00/3.86
% 16.00/3.86 % (7912)Memory used [KB]: 2302
% 16.00/3.86 % (7912)Time elapsed: 0.195 s
% 16.00/3.86 % (7912)Instructions burned: 437 (million)
% 16.00/3.86 % (7912)------------------------------
% 16.00/3.86 % (7912)------------------------------
% 16.00/3.88 % (7914)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_7654 for (2977ds/1376Mi)
% 16.37/3.94 % (7909)Refutation found. Thanks to Tanya!
% 16.37/3.94 % SZS status Theorem for DTF2THF_7654
% 16.37/3.94 % SZS output start Proof for DTF2THF_7654
% 16.37/3.94 thf(type_def_5, type, mworld: $tType).
% 16.37/3.94 thf(func_def_0, type, mworld: $tType).
% 16.37/3.94 thf(func_def_1, type, mrel: mworld > mworld > $o).
% 16.37/3.94 thf(func_def_2, type, mactual: mworld).
% 16.37/3.94 thf(func_def_3, type, mlocal: (mworld > $o) > $o).
% 16.37/3.94 thf(func_def_5, type, mnot: (mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_6, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_7, type, mor: (mworld > $o) > (mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_8, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_9, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_10, type, mbox: (mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_11, type, mdia: (mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_12, type, eiw_di: $i > mworld > $o).
% 16.37/3.94 thf(func_def_13, type, mforall_di: ($i > mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_14, type, mexists_di: ($i > mworld > $o) > mworld > $o).
% 16.37/3.94 thf(func_def_15, type, chevy: $i > mworld > $o).
% 16.37/3.94 thf(func_def_16, type, dirty: $i > mworld > $o).
% 16.37/3.94 thf(func_def_17, type, barrel: $i > $i > mworld > $o).
% 16.37/3.94 thf(func_def_18, type, hollywood: $i > mworld > $o).
% 16.37/3.94 thf(func_def_19, type, city: $i > mworld > $o).
% 16.37/3.94 thf(func_def_20, type, in: $i > $i > mworld > $o).
% 16.37/3.94 thf(func_def_21, type, young: $i > mworld > $o).
% 16.37/3.94 thf(func_def_22, type, old: $i > mworld > $o).
% 16.37/3.94 thf(func_def_23, type, down: $i > $i > mworld > $o).
% 16.37/3.94 thf(func_def_24, type, way: $i > mworld > $o).
% 16.37/3.94 thf(func_def_25, type, qmltpeq: $i > $i > mworld > $o).
% 16.37/3.94 thf(func_def_26, type, seat: $i > mworld > $o).
% 16.37/3.94 thf(func_def_27, type, white: $i > mworld > $o).
% 16.37/3.94 thf(func_def_28, type, car: $i > mworld > $o).
% 16.37/3.94 thf(func_def_29, type, furniture: $i > mworld > $o).
% 16.37/3.94 thf(func_def_30, type, street: $i > mworld > $o).
% 16.37/3.94 thf(func_def_31, type, fellow: $i > mworld > $o).
% 16.37/3.94 thf(func_def_32, type, front: $i > mworld > $o).
% 16.37/3.94 thf(func_def_33, type, man: $i > mworld > $o).
% 16.37/3.94 thf(func_def_34, type, event: $i > mworld > $o).
% 16.37/3.94 thf(func_def_35, type, lonely: $i > mworld > $o).
% 16.37/3.94 thf(func_def_57, type, ph1: !>[X0: $tType]:(X0)).
% 16.37/3.94 thf(f1256,plain,(
% 16.37/3.94 $false),
% 16.37/3.94 inference(avatar_sat_refutation,[status(thm)],[f226,f239,f408,f444,f492,f509,f513,f660,f779,f902,f915,f937,f993,f1041,f1066,f1091,f1230,f1255])).
% 16.37/3.94 thf(f1255,plain,(
% 16.37/3.94 spl0_1 | ~spl0_10),
% 16.37/3.94 inference(avatar_contradiction_clause,[status(thm)],[f1254])).
% 16.37/3.94 thf(f1254,plain,(
% 16.37/3.94 $false | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1253])).
% 16.37/3.94 thf(f1253,plain,(
% 16.37/3.94 ($true = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(backward_demodulation,[status(thm)],[f1148,f1252])).
% 16.37/3.94 thf(f1252,plain,(
% 16.37/3.94 ((furniture @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1251])).
% 16.37/3.94 thf(f1251,plain,(
% 16.37/3.94 ($true = $false) | ((furniture @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1250,f1146])).
% 16.37/3.94 thf(f1146,plain,(
% 16.37/3.94 ($true = (seat @ sK3 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1143])).
% 16.37/3.94 thf(f1143,plain,(
% 16.37/3.94 ($true = ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1141])).
% 16.37/3.94 thf(f1141,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1139])).
% 16.37/3.94 thf(f1139,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1138])).
% 16.37/3.94 thf(f1138,plain,(
% 16.37/3.94 (((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))))))))))))))))))))))))))))))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1136])).
% 16.37/3.94 thf(f1136,plain,(
% 16.37/3.94 ($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))))))))))))))))))))))))))))))) & (eiw_di @ sK11 @ mactual))) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1135])).
% 16.37/3.94 thf(f1135,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK11)) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1134])).
% 16.37/3.94 thf(f1134,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1132])).
% 16.37/3.94 thf(f1132,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK10 @ mactual))) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1131])).
% 16.37/3.94 thf(f1131,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK10)) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1130])).
% 16.37/3.94 thf(f1130,plain,(
% 16.37/3.94 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1128])).
% 16.37/3.94 thf(f1128,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK9 @ mactual))) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1127])).
% 16.37/3.94 thf(f1127,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK9)) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1126])).
% 16.37/3.94 thf(f1126,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1124])).
% 16.37/3.94 thf(f1124,plain,(
% 16.37/3.94 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK8 @ mactual)) = $true) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1123])).
% 16.37/3.94 thf(f1123,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK8)) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1122])).
% 16.37/3.94 thf(f1122,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1120])).
% 16.37/3.94 thf(f1120,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK7 @ mactual))) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1119])).
% 16.37/3.94 thf(f1119,plain,(
% 16.37/3.94 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK7) = $true) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1118])).
% 16.37/3.94 thf(f1118,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1116])).
% 16.37/3.94 thf(f1116,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK6 @ mactual))) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1115])).
% 16.37/3.94 thf(f1115,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK6)) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1114])).
% 16.37/3.94 thf(f1114,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1112])).
% 16.37/3.94 thf(f1112,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK5 @ mactual))) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1111])).
% 16.37/3.94 thf(f1111,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK5)) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1110])).
% 16.37/3.94 thf(f1110,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1108])).
% 16.37/3.94 thf(f1108,plain,(
% 16.37/3.94 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK4 @ mactual)) = $true) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1107])).
% 16.37/3.94 thf(f1107,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK4)) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1106])).
% 16.37/3.94 thf(f1106,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1104])).
% 16.37/3.94 thf(f1104,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK3 @ mactual))) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1103])).
% 16.37/3.94 thf(f1103,plain,(
% 16.37/3.94 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK3) = $true) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f1102])).
% 16.37/3.94 thf(f1102,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1100])).
% 16.37/3.94 thf(f1100,plain,(
% 16.37/3.94 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK2 @ mactual)) = $true) | spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f1099])).
% 16.37/3.94 thf(f1099,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK2)) | spl0_1),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f220])).
% 16.37/3.94 thf(f220,plain,(
% 16.37/3.94 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) != $false) | spl0_1),
% 16.37/3.94 inference(avatar_component_clause,[status(thm)],[f219])).
% 16.37/3.94 thf(f219,definition,(
% 16.37/3.94 spl0_1 <=> ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false)),
% 16.37/3.94 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 16.37/3.94 thf(f1250,plain,(
% 16.37/3.94 ((seat @ sK3 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1249])).
% 16.37/3.94 thf(f1249,plain,(
% 16.37/3.94 ($true = $false) | ((seat @ sK3 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1248,f1150])).
% 16.37/3.94 thf(f1150,plain,(
% 16.37/3.94 ((front @ sK3 @ mactual) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1147])).
% 16.37/3.94 thf(f1147,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1145])).
% 16.37/3.94 thf(f1145,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1143])).
% 16.37/3.94 thf(f1248,plain,(
% 16.37/3.94 ((front @ sK3 @ mactual) = $false) | ((seat @ sK3 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1247])).
% 16.37/3.94 thf(f1247,plain,(
% 16.37/3.94 ((furniture @ sK3 @ mactual) = $false) | ((seat @ sK3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | ($true = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1246,f1105])).
% 16.37/3.94 thf(f1105,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK3 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1104])).
% 16.37/3.94 thf(f1246,plain,(
% 16.37/3.94 ((eiw_di @ sK3 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | ((front @ sK3 @ mactual) = $false) | ((seat @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1243])).
% 16.37/3.94 thf(f1243,plain,(
% 16.37/3.94 ($true = $false) | ((front @ sK3 @ mactual) = $false) | ((furniture @ sK3 @ mactual) = $false) | ((eiw_di @ sK3 @ mactual) = $false) | ((seat @ sK3 @ mactual) = $false) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(superposition,[status(thm)],[f1242,f1198])).
% 16.37/3.94 thf(f1198,plain,(
% 16.37/3.94 ($true = (in @ sK11 @ sK3 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1196])).
% 16.37/3.94 thf(f1196,plain,(
% 16.37/3.94 ($true = ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1194])).
% 16.37/3.94 thf(f1194,plain,(
% 16.37/3.94 (((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1192])).
% 16.37/3.94 thf(f1192,plain,(
% 16.37/3.94 ($true = ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1190])).
% 16.37/3.94 thf(f1190,plain,(
% 16.37/3.94 (((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1188])).
% 16.37/3.94 thf(f1188,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1186])).
% 16.37/3.94 thf(f1186,plain,(
% 16.37/3.94 ($true = ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1184])).
% 16.37/3.94 thf(f1184,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1182])).
% 16.37/3.94 thf(f1182,plain,(
% 16.37/3.94 ($true = ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1179])).
% 16.37/3.94 thf(f1179,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1177])).
% 16.37/3.94 thf(f1177,plain,(
% 16.37/3.94 ($true = ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1175])).
% 16.37/3.94 thf(f1175,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1173])).
% 16.37/3.94 thf(f1173,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1171])).
% 16.37/3.94 thf(f1171,plain,(
% 16.37/3.94 (((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)))))))))))))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1169])).
% 16.37/3.94 thf(f1169,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1167])).
% 16.37/3.94 thf(f1167,plain,(
% 16.37/3.94 (((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)))))))))))))))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1165])).
% 16.37/3.94 thf(f1165,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1163])).
% 16.37/3.94 thf(f1163,plain,(
% 16.37/3.94 ($true = ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1161])).
% 16.37/3.94 thf(f1161,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1159])).
% 16.37/3.94 thf(f1159,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1157])).
% 16.37/3.94 thf(f1157,plain,(
% 16.37/3.94 (((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))))))))))))))))))))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1155])).
% 16.37/3.94 thf(f1155,plain,(
% 16.37/3.94 (((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)))))))))))))))))))))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1153])).
% 16.37/3.94 thf(f1153,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1151])).
% 16.37/3.94 thf(f1151,plain,(
% 16.37/3.94 (((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)))))))))))))))))))))))) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1149])).
% 16.37/3.94 thf(f1149,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1147])).
% 16.37/3.94 thf(f1242,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (in @ sK11 @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1241])).
% 16.37/3.94 thf(f1241,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($true = $false) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ($false = (in @ sK11 @ X0 @ mactual))) ) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1238,f1137])).
% 16.37/3.94 thf(f1137,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK11 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1136])).
% 16.37/3.94 thf(f1238,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (eiw_di @ sK11 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ($false = (in @ sK11 @ X0 @ mactual))) ) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1231])).
% 16.37/3.94 thf(f1231,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (((seat @ X0 @ mactual) = $false) | ($false = (eiw_di @ sK11 @ mactual)) | ($false = (in @ sK11 @ X0 @ mactual)) | ($true = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ($false = (front @ X0 @ mactual))) ) | (spl0_1 | ~spl0_10)),
% 16.37/3.94 inference(superposition,[status(thm)],[f474,f1199])).
% 16.37/3.94 thf(f1199,plain,(
% 16.37/3.94 ($true = (qmltpeq @ sK9 @ sK11 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1196])).
% 16.37/3.94 thf(f474,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i] : (((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X3 @ mactual) = $false)) ) | ~spl0_10),
% 16.37/3.94 inference(avatar_component_clause,[status(thm)],[f473])).
% 16.37/3.94 thf(f473,definition,(
% 16.37/3.94 spl0_10 <=> ! [X2 : $i,X3 : $i] : (((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false))),
% 16.37/3.94 introduced(definition,[new_symbols(naming,[spl0_10])],[avatar_definition])).
% 16.37/3.94 thf(f1148,plain,(
% 16.37/3.94 ($true = (furniture @ sK3 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1145])).
% 16.37/3.94 thf(f1230,plain,(
% 16.37/3.94 spl0_1 | ~spl0_9),
% 16.37/3.94 inference(avatar_contradiction_clause,[status(thm)],[f1229])).
% 16.37/3.94 thf(f1229,plain,(
% 16.37/3.94 $false | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1228])).
% 16.37/3.94 thf(f1228,plain,(
% 16.37/3.94 ($true = $false) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(backward_demodulation,[status(thm)],[f1142,f1227])).
% 16.37/3.94 thf(f1227,plain,(
% 16.37/3.94 ($false = (furniture @ sK2 @ mactual)) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1226])).
% 16.37/3.94 thf(f1226,plain,(
% 16.37/3.94 ($true = $false) | ($false = (furniture @ sK2 @ mactual)) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1225,f1140])).
% 16.37/3.94 thf(f1140,plain,(
% 16.37/3.94 ($true = (seat @ sK2 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1138])).
% 16.37/3.94 thf(f1225,plain,(
% 16.37/3.94 ((seat @ sK2 @ mactual) = $false) | ($false = (furniture @ sK2 @ mactual)) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1224])).
% 16.37/3.94 thf(f1224,plain,(
% 16.37/3.94 ((seat @ sK2 @ mactual) = $false) | ($false = (furniture @ sK2 @ mactual)) | ($true = $false) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1223,f1144])).
% 16.37/3.94 thf(f1144,plain,(
% 16.37/3.94 ($true = (front @ sK2 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1141])).
% 16.37/3.94 thf(f1223,plain,(
% 16.37/3.94 ($false = (front @ sK2 @ mactual)) | ((seat @ sK2 @ mactual) = $false) | ($false = (furniture @ sK2 @ mactual)) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1222])).
% 16.37/3.94 thf(f1222,plain,(
% 16.37/3.94 ($true = $false) | ($false = (furniture @ sK2 @ mactual)) | ($false = (front @ sK2 @ mactual)) | ((seat @ sK2 @ mactual) = $false) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1221,f1101])).
% 16.37/3.94 thf(f1101,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK2 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1100])).
% 16.37/3.94 thf(f1221,plain,(
% 16.37/3.94 ($false = (eiw_di @ sK2 @ mactual)) | ((seat @ sK2 @ mactual) = $false) | ($false = (front @ sK2 @ mactual)) | ($false = (furniture @ sK2 @ mactual)) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1218])).
% 16.37/3.94 thf(f1218,plain,(
% 16.37/3.94 ($false = (eiw_di @ sK2 @ mactual)) | ($true = $false) | ($false = (furniture @ sK2 @ mactual)) | ($false = (front @ sK2 @ mactual)) | ((seat @ sK2 @ mactual) = $false) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(superposition,[status(thm)],[f1209,f1197])).
% 16.37/3.94 thf(f1197,plain,(
% 16.37/3.94 ((in @ sK10 @ sK2 @ mactual) = $true) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1194])).
% 16.37/3.94 thf(f1209,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (in @ sK10 @ X0 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1208])).
% 16.37/3.94 thf(f1208,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ($true = $false) | ($false = (in @ sK10 @ X0 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1207,f1133])).
% 16.37/3.94 thf(f1133,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK10 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1132])).
% 16.37/3.94 thf(f1207,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (front @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK10 @ mactual) = $false) | ($false = (in @ sK10 @ X0 @ mactual))) ) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1205])).
% 16.37/3.94 thf(f1205,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (((seat @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (in @ sK10 @ X0 @ mactual)) | ($true = $false) | ($false = (front @ X0 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ sK10 @ mactual) = $false)) ) | (spl0_1 | ~spl0_9)),
% 16.37/3.94 inference(superposition,[status(thm)],[f471,f1195])).
% 16.37/3.94 thf(f1195,plain,(
% 16.37/3.94 ($true = (qmltpeq @ sK8 @ sK10 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1192])).
% 16.37/3.94 thf(f471,plain,(
% 16.37/3.94 ( ! [X0 : $i,X1 : $i] : (((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false)) ) | ~spl0_9),
% 16.37/3.94 inference(avatar_component_clause,[status(thm)],[f470])).
% 16.37/3.94 thf(f470,definition,(
% 16.37/3.94 spl0_9 <=> ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false))),
% 16.37/3.94 introduced(definition,[new_symbols(naming,[spl0_9])],[avatar_definition])).
% 16.37/3.94 thf(f1142,plain,(
% 16.37/3.94 ($true = (furniture @ sK2 @ mactual)) | spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f1139])).
% 16.37/3.94 thf(f1091,plain,(
% 16.37/3.94 spl0_2 | ~spl0_13),
% 16.37/3.94 inference(avatar_contradiction_clause,[status(thm)],[f1090])).
% 16.37/3.94 thf(f1090,plain,(
% 16.37/3.94 $false | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1089])).
% 16.37/3.94 thf(f1089,plain,(
% 16.37/3.94 ($true = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(backward_demodulation,[status(thm)],[f827,f1088])).
% 16.37/3.94 thf(f1088,plain,(
% 16.37/3.94 ((furniture @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1087])).
% 16.37/3.94 thf(f1087,plain,(
% 16.37/3.94 ((furniture @ sK12 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1086,f786])).
% 16.37/3.94 thf(f786,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK12 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f785])).
% 16.37/3.94 thf(f785,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK12 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f784])).
% 16.37/3.94 thf(f784,plain,(
% 16.37/3.94 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK12) = $true) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f224])).
% 16.37/3.94 thf(f224,plain,(
% 16.37/3.94 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) != $false) | spl0_2),
% 16.37/3.94 inference(avatar_component_clause,[status(thm)],[f223])).
% 16.37/3.94 thf(f223,definition,(
% 16.37/3.94 spl0_2 <=> ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false)),
% 16.37/3.94 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 16.37/3.94 thf(f1086,plain,(
% 16.37/3.94 ((eiw_di @ sK12 @ mactual) = $false) | ((furniture @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1085])).
% 16.37/3.94 thf(f1085,plain,(
% 16.37/3.94 ((furniture @ sK12 @ mactual) = $false) | ((eiw_di @ sK12 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1084,f825])).
% 16.37/3.94 thf(f825,plain,(
% 16.37/3.94 ($true = (seat @ sK12 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f823])).
% 16.37/3.94 thf(f823,plain,(
% 16.37/3.94 ($true = ((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))))))))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f821])).
% 16.37/3.94 thf(f821,plain,(
% 16.37/3.94 ($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))))))))))))))))))))))))))))))) & (eiw_di @ sK21 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f820])).
% 16.37/3.94 thf(f820,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK21)) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f819])).
% 16.37/3.94 thf(f819,plain,(
% 16.37/3.94 ((?? @ $i @ (^[Y0 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual)))) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f817])).
% 16.37/3.94 thf(f817,plain,(
% 16.37/3.94 (((?? @ $i @ (^[Y0 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK20 @ mactual)) = $true) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f816])).
% 16.37/3.94 thf(f816,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK20)) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f815])).
% 16.37/3.94 thf(f815,plain,(
% 16.37/3.94 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f813])).
% 16.37/3.94 thf(f813,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ Y0 @ mactual) & ((in @ Y0 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ Y1 @ mactual) & (in @ Y1 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK19 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f812])).
% 16.37/3.94 thf(f812,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK19)) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f811])).
% 16.37/3.94 thf(f811,plain,(
% 16.37/3.94 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f809])).
% 16.37/3.94 thf(f809,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK18 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f808])).
% 16.37/3.94 thf(f808,plain,(
% 16.37/3.94 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK18) = $true) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f807])).
% 16.37/3.94 thf(f807,plain,(
% 16.37/3.94 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f805])).
% 16.37/3.94 thf(f805,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK12 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK17 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f804])).
% 16.37/3.94 thf(f804,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK15 @ Y0 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK12 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK17)) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f803])).
% 16.37/3.94 thf(f803,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK15 @ Y0 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK12 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f801])).
% 16.37/3.94 thf(f801,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((barrel @ sK15 @ Y0 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK12 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK16 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f800])).
% 16.37/3.94 thf(f800,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK15 @ Y1 @ mactual) & ((down @ sK15 @ Y0 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK12 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK16)) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f799])).
% 16.37/3.94 thf(f799,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK15 @ Y1 @ mactual) & ((down @ sK15 @ Y0 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK12 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f797])).
% 16.37/3.94 thf(f797,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((barrel @ sK15 @ Y1 @ mactual) & ((down @ sK15 @ Y0 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK12 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK15 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f796])).
% 16.37/3.94 thf(f796,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ sK14 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK12 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK15)) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f795])).
% 16.37/3.94 thf(f795,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ sK14 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK12 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f793])).
% 16.37/3.94 thf(f793,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((seat @ sK12 @ mactual) & ((furniture @ sK12 @ mactual) & ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((barrel @ Y0 @ Y2 @ mactual) & ((down @ Y0 @ Y1 @ mactual) & ((in @ Y0 @ sK14 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK12 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK13 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK14 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f792])).
% 16.37/3.94 thf(f792,plain,(
% 16.37/3.94 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK14)) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f791])).
% 16.37/3.94 thf(f791,plain,(
% 16.37/3.94 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f789])).
% 16.37/3.94 thf(f789,plain,(
% 16.37/3.94 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK13 @ mactual))) | spl0_2),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f788])).
% 16.37/3.94 thf(f788,plain,(
% 16.37/3.94 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK13) = $true) | spl0_2),
% 16.37/3.94 inference(sigma_clausification,[status(thm)],[f787])).
% 16.37/3.94 thf(f787,plain,(
% 16.37/3.94 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f785])).
% 16.37/3.94 thf(f1084,plain,(
% 16.37/3.94 ((furniture @ sK12 @ mactual) = $false) | ((seat @ sK12 @ mactual) = $false) | ((eiw_di @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1083])).
% 16.37/3.94 thf(f1083,plain,(
% 16.37/3.94 ((eiw_di @ sK12 @ mactual) = $false) | ((seat @ sK12 @ mactual) = $false) | ((furniture @ sK12 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1082,f829])).
% 16.37/3.94 thf(f829,plain,(
% 16.37/3.94 ($true = (front @ sK12 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f826])).
% 16.37/3.94 thf(f826,plain,(
% 16.37/3.94 ($true = ((front @ sK12 @ mactual) & ((seat @ sK13 @ mactual) & ((furniture @ sK13 @ mactual) & ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))))))))))))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f824])).
% 16.37/3.94 thf(f824,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f823])).
% 16.37/3.94 thf(f1082,plain,(
% 16.37/3.94 ((front @ sK12 @ mactual) = $false) | ((seat @ sK12 @ mactual) = $false) | ((eiw_di @ sK12 @ mactual) = $false) | ((furniture @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1079])).
% 16.37/3.94 thf(f1079,plain,(
% 16.37/3.94 ((eiw_di @ sK12 @ mactual) = $false) | ((seat @ sK12 @ mactual) = $false) | ((furniture @ sK12 @ mactual) = $false) | ($true = $false) | ((front @ sK12 @ mactual) = $false) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(superposition,[status(thm)],[f1078,f882])).
% 16.37/3.94 thf(f882,plain,(
% 16.37/3.94 ((in @ sK20 @ sK12 @ mactual) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f879])).
% 16.37/3.94 thf(f879,plain,(
% 16.37/3.94 ($true = ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f877])).
% 16.37/3.94 thf(f877,plain,(
% 16.37/3.94 ($true = ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f875])).
% 16.37/3.94 thf(f875,plain,(
% 16.37/3.94 ($true = ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f873])).
% 16.37/3.94 thf(f873,plain,(
% 16.37/3.94 ($true = ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f871])).
% 16.37/3.94 thf(f871,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f869])).
% 16.37/3.94 thf(f869,plain,(
% 16.37/3.94 ($true = ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f867])).
% 16.37/3.94 thf(f867,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f864])).
% 16.37/3.94 thf(f864,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f862])).
% 16.37/3.94 thf(f862,plain,(
% 16.37/3.94 (((~ (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))))))))))) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f860])).
% 16.37/3.94 thf(f860,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f858])).
% 16.37/3.94 thf(f858,plain,(
% 16.37/3.94 ($true = ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual)))))))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f856])).
% 16.37/3.94 thf(f856,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f854])).
% 16.37/3.94 thf(f854,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f852])).
% 16.37/3.94 thf(f852,plain,(
% 16.37/3.94 (((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)))))))))))))))) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f850])).
% 16.37/3.94 thf(f850,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f848])).
% 16.37/3.94 thf(f848,plain,(
% 16.37/3.94 ($true = ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f846])).
% 16.37/3.94 thf(f846,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f844])).
% 16.37/3.94 thf(f844,plain,(
% 16.37/3.94 ($true = ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f842])).
% 16.37/3.94 thf(f842,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f840])).
% 16.37/3.94 thf(f840,plain,(
% 16.37/3.94 ($true = ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f838])).
% 16.37/3.94 thf(f838,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f836])).
% 16.37/3.94 thf(f836,plain,(
% 16.37/3.94 ($true = ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f834])).
% 16.37/3.94 thf(f834,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f832])).
% 16.37/3.94 thf(f832,plain,(
% 16.37/3.94 ($true = ((front @ sK13 @ mactual) & ((hollywood @ sK14 @ mactual) & ((city @ sK14 @ mactual) & ((event @ sK15 @ mactual) & ((street @ sK16 @ mactual) & ((way @ sK16 @ mactual) & ((lonely @ sK16 @ mactual) & ((chevy @ sK17 @ mactual) & ((car @ sK17 @ mactual) & ((white @ sK17 @ mactual) & ((dirty @ sK17 @ mactual) & ((old @ sK17 @ mactual) & ((barrel @ sK15 @ sK17 @ mactual) & ((down @ sK15 @ sK16 @ mactual) & ((in @ sK15 @ sK14 @ mactual) & ((~ (qmltpeq @ sK18 @ sK19 @ mactual)) & ((fellow @ sK18 @ mactual) & ((man @ sK18 @ mactual) & ((young @ sK18 @ mactual) & ((fellow @ sK19 @ mactual) & ((man @ sK19 @ mactual) & ((young @ sK19 @ mactual) & ((qmltpeq @ sK18 @ sK20 @ mactual) & ((in @ sK20 @ sK12 @ mactual) & ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))))))))))))))))))))))))))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f830])).
% 16.37/3.94 thf(f830,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f828])).
% 16.37/3.94 thf(f828,plain,(
% 16.37/3.94 ($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),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f826])).
% 16.37/3.94 thf(f1078,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (((in @ sK20 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ($false = (front @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1077])).
% 16.37/3.94 thf(f1077,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (furniture @ X0 @ mactual)) | ($true = $false) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ sK20 @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1076,f818])).
% 16.37/3.94 thf(f818,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK20 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f817])).
% 16.37/3.94 thf(f1076,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (front @ X0 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual)) | ((in @ sK20 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1069])).
% 16.37/3.94 thf(f1069,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (front @ X0 @ mactual)) | ($false = (eiw_di @ sK20 @ mactual)) | ((in @ sK20 @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false)) ) | (spl0_2 | ~spl0_13)),
% 16.37/3.94 inference(superposition,[status(thm)],[f880,f1020])).
% 16.37/3.94 thf(f1020,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i] : (($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_13),
% 16.37/3.94 inference(avatar_component_clause,[status(thm)],[f1019])).
% 16.37/3.94 thf(f1019,definition,(
% 16.37/3.94 spl0_13 <=> ! [X2 : $i,X3 : $i] : (((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false))),
% 16.37/3.94 introduced(definition,[new_symbols(naming,[spl0_13])],[avatar_definition])).
% 16.37/3.94 thf(f880,plain,(
% 16.37/3.94 ($true = (qmltpeq @ sK18 @ sK20 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f877])).
% 16.37/3.94 thf(f827,plain,(
% 16.37/3.94 ($true = (furniture @ sK12 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f824])).
% 16.37/3.94 thf(f1066,plain,(
% 16.37/3.94 spl0_2 | ~spl0_14),
% 16.37/3.94 inference(avatar_contradiction_clause,[status(thm)],[f1065])).
% 16.37/3.94 thf(f1065,plain,(
% 16.37/3.94 $false | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1064])).
% 16.37/3.94 thf(f1064,plain,(
% 16.37/3.94 ($true = $false) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(backward_demodulation,[status(thm)],[f833,f1063])).
% 16.37/3.94 thf(f1063,plain,(
% 16.37/3.94 ((furniture @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1062])).
% 16.37/3.94 thf(f1062,plain,(
% 16.37/3.94 ($true = $false) | ((furniture @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1061,f835])).
% 16.37/3.94 thf(f835,plain,(
% 16.37/3.94 ($true = (front @ sK13 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f832])).
% 16.37/3.94 thf(f1061,plain,(
% 16.37/3.94 ($false = (front @ sK13 @ mactual)) | ((furniture @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1060])).
% 16.37/3.94 thf(f1060,plain,(
% 16.37/3.94 ($true = $false) | ($false = (front @ sK13 @ mactual)) | ((furniture @ sK13 @ mactual) = $false) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1059,f831])).
% 16.37/3.94 thf(f831,plain,(
% 16.37/3.94 ($true = (seat @ sK13 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f828])).
% 16.37/3.94 thf(f1059,plain,(
% 16.37/3.94 ((furniture @ sK13 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ($false = (front @ sK13 @ mactual)) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1058])).
% 16.37/3.94 thf(f1058,plain,(
% 16.37/3.94 ($true = $false) | ((seat @ sK13 @ mactual) = $false) | ((furniture @ sK13 @ mactual) = $false) | ($false = (front @ sK13 @ mactual)) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1057,f790])).
% 16.37/3.94 thf(f790,plain,(
% 16.37/3.94 ((eiw_di @ sK13 @ mactual) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f789])).
% 16.37/3.94 thf(f1057,plain,(
% 16.37/3.94 ((eiw_di @ sK13 @ mactual) = $false) | ((furniture @ sK13 @ mactual) = $false) | ((seat @ sK13 @ mactual) = $false) | ($false = (front @ sK13 @ mactual)) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1055])).
% 16.37/3.94 thf(f1055,plain,(
% 16.37/3.94 ($true = $false) | ((seat @ sK13 @ mactual) = $false) | ((eiw_di @ sK13 @ mactual) = $false) | ((furniture @ sK13 @ mactual) = $false) | ($false = (front @ sK13 @ mactual)) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(superposition,[status(thm)],[f883,f1053])).
% 16.37/3.94 thf(f1053,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (((in @ sK21 @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1052])).
% 16.37/3.94 thf(f1052,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (((in @ sK21 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ($false = (front @ X0 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1049,f822])).
% 16.37/3.94 thf(f822,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK21 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f821])).
% 16.37/3.94 thf(f1049,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (furniture @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((in @ sK21 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ sK21 @ mactual) = $false)) ) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1042])).
% 16.37/3.94 thf(f1042,plain,(
% 16.37/3.94 ( ! [X0 : $i] : (($false = (furniture @ X0 @ mactual)) | ((eiw_di @ sK21 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((in @ sK21 @ X0 @ mactual) = $false) | ($true = $false)) ) | (spl0_2 | ~spl0_14)),
% 16.37/3.94 inference(superposition,[status(thm)],[f1023,f884])).
% 16.37/3.94 thf(f884,plain,(
% 16.37/3.94 ($true = (qmltpeq @ sK19 @ sK21 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f881])).
% 16.37/3.94 thf(f881,plain,(
% 16.37/3.94 ($true = ((qmltpeq @ sK19 @ sK21 @ mactual) & (in @ sK21 @ sK13 @ mactual))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f879])).
% 16.37/3.94 thf(f1023,plain,(
% 16.37/3.94 ( ! [X0 : $i,X1 : $i] : (($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_14),
% 16.37/3.94 inference(avatar_component_clause,[status(thm)],[f1022])).
% 16.37/3.94 thf(f1022,definition,(
% 16.37/3.94 spl0_14 <=> ! [X0 : $i,X1 : $i] : (((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)))),
% 16.37/3.94 introduced(definition,[new_symbols(naming,[spl0_14])],[avatar_definition])).
% 16.37/3.94 thf(f883,plain,(
% 16.37/3.94 ($true = (in @ sK21 @ sK13 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f881])).
% 16.37/3.94 thf(f833,plain,(
% 16.37/3.94 ($true = (furniture @ sK13 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f830])).
% 16.37/3.94 thf(f1041,plain,(
% 16.37/3.94 spl0_13 | spl0_14 | spl0_2 | ~spl0_6),
% 16.37/3.94 inference(avatar_split_clause,[status(thm)],[f1040,f406,f223,f1022,f1019])).
% 16.37/3.94 thf(f406,definition,(
% 16.37/3.94 spl0_6 <=> ! [X9 : $i,X7 : $i,X8 : $i,X10 : $i,X2 : $i,X1 : $i] : (($false = (in @ X10 @ X2 @ mactual)) | ((fellow @ X8 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((young @ X8 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (qmltpeq @ X8 @ X10 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false))),
% 16.37/3.94 introduced(definition,[new_symbols(naming,[spl0_6])],[avatar_definition])).
% 16.37/3.94 thf(f1040,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (front @ X1 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ($false = (qmltpeq @ sK18 @ X3 @ mactual))) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1039])).
% 16.37/3.94 thf(f1039,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((front @ X2 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((furniture @ X2 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1038,f814])).
% 16.37/3.94 thf(f814,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK19 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f813])).
% 16.37/3.94 thf(f1038,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X0 @ X1 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual))) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1037])).
% 16.37/3.94 thf(f1037,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ($false = (front @ X1 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((in @ X3 @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1036,f878])).
% 16.37/3.94 thf(f878,plain,(
% 16.37/3.94 ((young @ sK19 @ mactual) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f875])).
% 16.37/3.94 thf(f1036,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X3 @ X2 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((young @ sK19 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual))) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1035])).
% 16.37/3.94 thf(f1035,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((in @ X3 @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($true = $false) | ((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual))) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1034,f874])).
% 16.37/3.94 thf(f874,plain,(
% 16.37/3.94 ($true = (fellow @ sK19 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f871])).
% 16.37/3.94 thf(f1034,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (seat @ X2 @ mactual)) | ((fellow @ sK19 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((young @ sK19 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ($false = (eiw_di @ sK19 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((furniture @ X2 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1033])).
% 16.37/3.94 thf(f1033,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((in @ X3 @ X2 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($false = (eiw_di @ sK19 @ mactual)) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1032,f870])).
% 16.37/3.94 thf(f870,plain,(
% 16.37/3.94 ($true = (man @ sK18 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f867])).
% 16.37/3.94 thf(f1032,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual))) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1031])).
% 16.37/3.94 thf(f1031,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((seat @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((fellow @ sK19 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((in @ X3 @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ((man @ sK18 @ mactual) = $false) | ($true = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1030,f872])).
% 16.37/3.94 thf(f872,plain,(
% 16.37/3.94 ($true = (young @ sK18 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f869])).
% 16.37/3.94 thf(f1030,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (young @ sK18 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((young @ sK19 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((seat @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1029])).
% 16.37/3.94 thf(f1029,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (eiw_di @ sK19 @ mactual)) | ((young @ sK19 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((in @ X3 @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (young @ sK18 @ mactual))) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1028,f876])).
% 16.37/3.94 thf(f876,plain,(
% 16.37/3.94 ((man @ sK19 @ mactual) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f873])).
% 16.37/3.94 thf(f1028,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((fellow @ sK19 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ($false = (young @ sK18 @ mactual)) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((man @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1027])).
% 16.37/3.94 thf(f1027,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (young @ sK18 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((front @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1026,f810])).
% 16.37/3.94 thf(f810,plain,(
% 16.37/3.94 ($true = (eiw_di @ sK18 @ mactual)) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f809])).
% 16.37/3.94 thf(f1026,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (front @ X1 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((eiw_di @ sK18 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (young @ sK18 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((young @ sK19 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f1025])).
% 16.37/3.94 thf(f1025,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((young @ sK19 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (young @ sK18 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((eiw_di @ sK18 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ((fellow @ sK19 @ mactual) = $false) | ($true = $false) | ((seat @ X1 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(forward_demodulation,[status(thm)],[f1000,f868])).
% 16.37/3.94 thf(f868,plain,(
% 16.37/3.94 ((fellow @ sK18 @ mactual) = $true) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f864])).
% 16.37/3.94 thf(f1000,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((fellow @ sK18 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((young @ sK19 @ mactual) = $false) | ((in @ X0 @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((eiw_di @ sK18 @ mactual) = $false) | ($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((in @ X3 @ X2 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (young @ sK18 @ mactual)) | ((man @ sK19 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual)) | ((front @ X2 @ mactual) = $false)) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(trivial_inequality_removal,[status(thm)],[f994])).
% 16.37/3.94 thf(f994,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (qmltpeq @ sK19 @ X0 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((young @ sK19 @ mactual) = $false) | ((man @ sK19 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((fellow @ sK18 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (qmltpeq @ sK18 @ X3 @ mactual)) | ((in @ X3 @ X2 @ mactual) = $false) | ((man @ sK18 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ sK18 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (young @ sK18 @ mactual)) | ((in @ X0 @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((fellow @ sK19 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (eiw_di @ sK19 @ mactual))) ) | (spl0_2 | ~spl0_6)),
% 16.37/3.94 inference(superposition,[status(thm)],[f407,f866])).
% 16.37/3.94 thf(f866,plain,(
% 16.37/3.94 ((qmltpeq @ sK18 @ sK19 @ mactual) = $false) | spl0_2),
% 16.37/3.94 inference(not_proxy_clausification,[status(thm)],[f865])).
% 16.37/3.94 thf(f865,plain,(
% 16.37/3.94 ($true = (~ (qmltpeq @ sK18 @ sK19 @ mactual))) | spl0_2),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f862])).
% 16.37/3.94 thf(f407,plain,(
% 16.37/3.94 ( ! [X2 : $i,X10 : $i,X1 : $i,X8 : $i,X9 : $i,X7 : $i] : (($true = (qmltpeq @ X7 @ X8 @ mactual)) | ($false = (in @ X10 @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((front @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((in @ X9 @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (qmltpeq @ X8 @ X10 @ mactual)) | ($false = (young @ X7 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((young @ X8 @ mactual) = $false)) ) | ~spl0_6),
% 16.37/3.94 inference(avatar_component_clause,[status(thm)],[f406])).
% 16.37/3.94 thf(f993,plain,(
% 16.37/3.94 spl0_5 | spl0_6 | ~spl0_1),
% 16.37/3.94 inference(avatar_split_clause,[status(thm)],[f992,f219,f406,f403])).
% 16.37/3.94 thf(f403,definition,(
% 16.37/3.94 spl0_5 <=> ! [X5 : $i,X4 : $i,X6 : $i,X3 : $i] : (((white @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ((street @ X5 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false))),
% 16.37/3.94 introduced(definition,[new_symbols(naming,[spl0_5])],[avatar_definition])).
% 16.37/3.94 thf(f992,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((dirty @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (qmltpeq @ X8 @ X10 @ mactual)) | ($false = (in @ X10 @ X2 @ mactual)) | ((old @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((car @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f991])).
% 16.37/3.94 thf(f991,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (event @ X4 @ mactual)) | ($false = (street @ X6 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((dirty @ X5 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((fellow @ X8 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | (((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)) = $false) | ((man @ X8 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((young @ X8 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f990])).
% 16.37/3.94 thf(f990,plain,(
% 16.37/3.94 ( ! [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 @ X1 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((young @ X8 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((man @ X8 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((lonely @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f989])).
% 16.37/3.94 thf(f989,plain,(
% 16.37/3.94 ( ! [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) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((young @ X8 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((man @ X8 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ($true = (qmltpeq @ X7 @ X8 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f988])).
% 16.37/3.94 thf(f988,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((lonely @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (hollywood @ X3 @ 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 = (event @ X4 @ mactual)) | ((down @ X4 @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((way @ X6 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (street @ X6 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f987])).
% 16.37/3.94 thf(f987,plain,(
% 16.37/3.94 ( ! [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) | ((fellow @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((down @ X4 @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((man @ X7 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((dirty @ X5 @ mactual) = $false) | ($false = ((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 = (young @ X7 @ mactual)) | ((white @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f986])).
% 16.37/3.94 thf(f986,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ 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) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((white @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((dirty @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f985])).
% 16.37/3.94 thf(f985,plain,(
% 16.37/3.94 ( ! [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) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($false = (event @ X4 @ mactual)) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((furniture @ X1 @ 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)))))))) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((man @ X7 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f984])).
% 16.37/3.94 thf(f984,plain,(
% 16.37/3.94 ( ! [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) | ((barrel @ X4 @ X5 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((car @ X5 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((old @ X5 @ 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) | ((lonely @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (front @ X1 @ mactual)) | ($false = (street @ X6 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f983])).
% 16.37/3.94 thf(f983,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (front @ X1 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((old @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((barrel @ X4 @ X5 @ 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 @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(not_proxy_clausification,[status(thm)],[f982])).
% 16.37/3.94 thf(f982,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((~ (qmltpeq @ X7 @ X8 @ mactual)) = $false) | ((chevy @ X5 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((old @ X5 @ mactual) = $false) | ((white @ X5 @ 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)))))))))) = $false) | ($false = (street @ X6 @ mactual)) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (front @ X1 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f981])).
% 16.37/3.94 thf(f981,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ($false = (hollywood @ 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) = $false) | ($false = (event @ X4 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((dirty @ X5 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((lonely @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f980])).
% 16.37/3.94 thf(f980,plain,(
% 16.37/3.94 ( ! [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) | ((eiw_di @ X9 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((down @ X4 @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ($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))))))))))))) | ((old @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ((barrel @ X4 @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((white @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f979])).
% 16.37/3.94 thf(f979,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((dirty @ X5 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ((old @ 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))))))))))))) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((way @ X6 @ mactual) = $false) | ((barrel @ X4 @ X5 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f978])).
% 16.37/3.94 thf(f978,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (event @ X4 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((way @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($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 = (street @ X6 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((lonely @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f977])).
% 16.37/3.94 thf(f977,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X9 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((way @ X6 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ 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 @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (city @ X3 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f976])).
% 16.37/3.94 thf(f976,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((chevy @ X5 @ mactual) = $false) | ((old @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((white @ X5 @ 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)))))))))))))))) = $false) | ($false = (seat @ X2 @ mactual)) | ((dirty @ X5 @ mactual) = $false) | ($false = (street @ X6 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f975])).
% 16.37/3.94 thf(f975,plain,(
% 16.37/3.94 ( ! [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) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($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 = (seat @ X2 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((dirty @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((old @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f974])).
% 16.37/3.94 thf(f974,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((dirty @ X5 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ($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))))))))))))))))))) | ((white @ X5 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f973])).
% 16.37/3.94 thf(f973,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (front @ X1 @ 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) | ((car @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((white @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f972])).
% 16.37/3.94 thf(f972,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (front @ X1 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($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 = (hollywood @ X3 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((chevy @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((car @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f971])).
% 16.37/3.94 thf(f971,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((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))))))))))))))))))))) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((chevy @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f970])).
% 16.37/3.94 thf(f970,plain,(
% 16.37/3.94 ( ! [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 @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((front @ X2 @ mactual) = $false) | ($false = (eiw_di @ X10 @ 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 = (hollywood @ X3 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f969])).
% 16.37/3.94 thf(f969,plain,(
% 16.37/3.94 ( ! [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) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (hollywood @ 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))))))))))))))))))))))) = $false) | ($false = (seat @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f968])).
% 16.37/3.94 thf(f968,plain,(
% 16.37/3.94 ( ! [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 @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($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 = (seat @ X2 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f967])).
% 16.37/3.94 thf(f967,plain,(
% 16.37/3.94 ( ! [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 @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($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 = (seat @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f966])).
% 16.37/3.94 thf(f966,plain,(
% 16.37/3.94 ( ! [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 @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X7 @ 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 @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual))) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f965])).
% 16.37/3.94 thf(f965,plain,(
% 16.37/3.94 ( ! [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 @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($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) | ((eiw_di @ X9 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f964])).
% 16.37/3.94 thf(f964,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (front @ X1 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($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))))))))))))))))))))))))))))) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f963])).
% 16.37/3.94 thf(f963,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((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) | ((furniture @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f962])).
% 16.37/3.94 thf(f962,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ 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) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f961])).
% 16.37/3.94 thf(f961,plain,(
% 16.37/3.94 ( ! [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) & ((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 @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f960])).
% 16.37/3.94 thf(f960,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ X10 @ mactual)) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f959])).
% 16.37/3.94 thf(f959,plain,(
% 16.37/3.94 ( ! [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 @ X9 @ mactual) = $false) | (((^[Y0 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))) @ X10) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(pi_clausification,[status(thm)],[f958])).
% 16.37/3.94 thf(f958,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f957])).
% 16.37/3.94 thf(f957,plain,(
% 16.37/3.94 ( ! [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) = $false) | ($false = ((?? @ $i @ (^[Y0 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X9 @ mactual))) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f956])).
% 16.37/3.94 thf(f956,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X9))) ) | ~spl0_1),
% 16.37/3.94 inference(pi_clausification,[status(thm)],[f955])).
% 16.37/3.94 thf(f955,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f954])).
% 16.37/3.94 thf(f954,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X8 @ mactual))) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f953])).
% 16.37/3.94 thf(f953,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X8) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(pi_clausification,[status(thm)],[f952])).
% 16.37/3.94 thf(f952,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f951])).
% 16.37/3.94 thf(f951,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X7 @ mactual)) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f950])).
% 16.37/3.94 thf(f950,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X7) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(pi_clausification,[status(thm)],[f949])).
% 16.37/3.94 thf(f949,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f948])).
% 16.37/3.94 thf(f948,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X6 @ mactual))) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f947])).
% 16.37/3.94 thf(f947,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : ((((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X6) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(pi_clausification,[status(thm)],[f946])).
% 16.37/3.94 thf(f946,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f945])).
% 16.37/3.94 thf(f945,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X5 @ mactual)) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f944])).
% 16.37/3.94 thf(f944,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X5)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(pi_clausification,[status(thm)],[f943])).
% 16.37/3.94 thf(f943,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(binary_proxy_clausification,[status(thm)],[f942])).
% 16.37/3.94 thf(f942,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X4 @ mactual))) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(beta_eta_normalization,[status(thm)],[f941])).
% 16.37/3.94 thf(f941,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X4) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.94 inference(pi_clausification,[status(thm)],[f940])).
% 16.37/3.94 thf(f940,plain,(
% 16.37/3.94 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f939])).
% 16.37/3.95 thf(f939,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X3 @ mactual)) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f938])).
% 16.37/3.95 thf(f938,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X3) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f887])).
% 16.37/3.95 thf(f887,plain,(
% 16.37/3.95 ( ! [X2 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f886])).
% 16.37/3.95 thf(f886,plain,(
% 16.37/3.95 ( ! [X2 : $i,X1 : $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X2 @ mactual))) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f885])).
% 16.37/3.95 thf(f885,plain,(
% 16.37/3.95 ( ! [X2 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X2) = $false)) ) | ~spl0_1),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f783])).
% 16.37/3.95 thf(f783,plain,(
% 16.37/3.95 ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f782])).
% 16.37/3.95 thf(f782,plain,(
% 16.37/3.95 ( ! [X1 : $i] : ((((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X1 @ mactual)) = $false)) ) | ~spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f781])).
% 16.37/3.95 thf(f781,plain,(
% 16.37/3.95 ( ! [X1 : $i] : (($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X1))) ) | ~spl0_1),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f221])).
% 16.37/3.95 thf(f221,plain,(
% 16.37/3.95 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ~spl0_1),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f219])).
% 16.37/3.95 thf(f937,plain,(
% 16.37/3.95 spl0_2 | ~spl0_12),
% 16.37/3.95 inference(avatar_contradiction_clause,[status(thm)],[f936])).
% 16.37/3.95 thf(f936,plain,(
% 16.37/3.95 $false | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f935])).
% 16.37/3.95 thf(f935,plain,(
% 16.37/3.95 ($true = $false) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(backward_demodulation,[status(thm)],[f806,f934])).
% 16.37/3.95 thf(f934,plain,(
% 16.37/3.95 ($false = (eiw_di @ sK17 @ mactual)) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f933])).
% 16.37/3.95 thf(f933,plain,(
% 16.37/3.95 ($true = $false) | ($false = (eiw_di @ sK17 @ mactual)) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f932,f851])).
% 16.37/3.95 thf(f851,plain,(
% 16.37/3.95 ((car @ sK17 @ mactual) = $true) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f848])).
% 16.37/3.95 thf(f932,plain,(
% 16.37/3.95 ((car @ sK17 @ mactual) = $false) | ($false = (eiw_di @ sK17 @ mactual)) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f931])).
% 16.37/3.95 thf(f931,plain,(
% 16.37/3.95 ($false = (eiw_di @ sK17 @ mactual)) | ((car @ sK17 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f930,f853])).
% 16.37/3.95 thf(f853,plain,(
% 16.37/3.95 ($true = (white @ sK17 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f850])).
% 16.37/3.95 thf(f930,plain,(
% 16.37/3.95 ($false = (eiw_di @ sK17 @ mactual)) | ($false = (white @ sK17 @ mactual)) | ((car @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f929])).
% 16.37/3.95 thf(f929,plain,(
% 16.37/3.95 ($true = $false) | ((car @ sK17 @ mactual) = $false) | ($false = (white @ sK17 @ mactual)) | ($false = (eiw_di @ sK17 @ mactual)) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f928,f855])).
% 16.37/3.95 thf(f855,plain,(
% 16.37/3.95 ($true = (dirty @ sK17 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f852])).
% 16.37/3.95 thf(f928,plain,(
% 16.37/3.95 ($false = (eiw_di @ sK17 @ mactual)) | ((dirty @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ($false = (white @ sK17 @ mactual)) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f927])).
% 16.37/3.95 thf(f927,plain,(
% 16.37/3.95 ($false = (white @ sK17 @ mactual)) | ((dirty @ sK17 @ mactual) = $false) | ($false = (eiw_di @ sK17 @ mactual)) | ((car @ sK17 @ mactual) = $false) | ($true = $false) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f926,f857])).
% 16.37/3.95 thf(f857,plain,(
% 16.37/3.95 ((old @ sK17 @ mactual) = $true) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f854])).
% 16.37/3.95 thf(f926,plain,(
% 16.37/3.95 ((old @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | ($false = (white @ sK17 @ mactual)) | ($false = (eiw_di @ sK17 @ mactual)) | ((car @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f925])).
% 16.37/3.95 thf(f925,plain,(
% 16.37/3.95 ($false = (eiw_di @ sK17 @ mactual)) | ($true = $false) | ((old @ sK17 @ mactual) = $false) | ($false = (white @ sK17 @ mactual)) | ((car @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f924,f849])).
% 16.37/3.95 thf(f849,plain,(
% 16.37/3.95 ($true = (chevy @ sK17 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f846])).
% 16.37/3.95 thf(f924,plain,(
% 16.37/3.95 ((chevy @ sK17 @ mactual) = $false) | ((dirty @ sK17 @ mactual) = $false) | ($false = (eiw_di @ sK17 @ mactual)) | ((old @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ($false = (white @ sK17 @ mactual)) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f921])).
% 16.37/3.95 thf(f921,plain,(
% 16.37/3.95 ((dirty @ sK17 @ mactual) = $false) | ($false = (eiw_di @ sK17 @ mactual)) | ($true = $false) | ((old @ sK17 @ mactual) = $false) | ((car @ sK17 @ mactual) = $false) | ($false = (white @ sK17 @ mactual)) | ((chevy @ sK17 @ mactual) = $false) | (spl0_2 | ~spl0_12)),
% 16.37/3.95 inference(superposition,[status(thm)],[f642,f859])).
% 16.37/3.95 thf(f859,plain,(
% 16.37/3.95 ((barrel @ sK15 @ sK17 @ mactual) = $true) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f856])).
% 16.37/3.95 thf(f642,plain,(
% 16.37/3.95 ( ! [X1 : $i] : (($false = (barrel @ sK15 @ X1 @ mactual)) | ((car @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false)) ) | ~spl0_12),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f641])).
% 16.37/3.95 thf(f641,definition,(
% 16.37/3.95 spl0_12 <=> ! [X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false))),
% 16.37/3.95 introduced(definition,[new_symbols(naming,[spl0_12])],[avatar_definition])).
% 16.37/3.95 thf(f806,plain,(
% 16.37/3.95 ($true = (eiw_di @ sK17 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f805])).
% 16.37/3.95 thf(f915,plain,(
% 16.37/3.95 spl0_12 | spl0_11 | spl0_2 | ~spl0_5),
% 16.37/3.95 inference(avatar_split_clause,[status(thm)],[f914,f403,f223,f638,f641])).
% 16.37/3.95 thf(f638,definition,(
% 16.37/3.95 spl0_11 <=> ! [X0 : $i] : (($false = (city @ X0 @ mactual)) | ((in @ sK15 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false))),
% 16.37/3.95 introduced(definition,[new_symbols(naming,[spl0_11])],[avatar_definition])).
% 16.37/3.95 thf(f914,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (($false = (city @ X0 @ mactual)) | ((in @ sK15 @ X0 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f913])).
% 16.37/3.95 thf(f913,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((in @ sK15 @ X0 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ($true = $false) | ((white @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f912,f845])).
% 16.37/3.95 thf(f845,plain,(
% 16.37/3.95 ($true = (way @ sK16 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f842])).
% 16.37/3.95 thf(f912,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((in @ sK15 @ X0 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (city @ X0 @ mactual))) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f911])).
% 16.37/3.95 thf(f911,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (($false = (city @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((way @ sK16 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((in @ sK15 @ X0 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f910,f843])).
% 16.37/3.95 thf(f843,plain,(
% 16.37/3.95 ((street @ sK16 @ mactual) = $true) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f840])).
% 16.37/3.95 thf(f910,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((chevy @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((in @ sK15 @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ((street @ sK16 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f909])).
% 16.37/3.95 thf(f909,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((old @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((in @ sK15 @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ((street @ sK16 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ($true = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f908,f847])).
% 16.37/3.95 thf(f847,plain,(
% 16.37/3.95 ((lonely @ sK16 @ mactual) = $true) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f844])).
% 16.37/3.95 thf(f908,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ((white @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((street @ sK16 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((in @ sK15 @ X0 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f907])).
% 16.37/3.95 thf(f907,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ($true = $false) | ($false = (city @ X0 @ mactual)) | ((hollywood @ X0 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((in @ sK15 @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f906,f802])).
% 16.37/3.95 thf(f802,plain,(
% 16.37/3.95 ($true = (eiw_di @ sK16 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f801])).
% 16.37/3.95 thf(f906,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (($false = (eiw_di @ sK16 @ mactual)) | ((old @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((in @ sK15 @ X0 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f905])).
% 16.37/3.95 thf(f905,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (eiw_di @ sK16 @ mactual)) | ((in @ sK15 @ X0 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((street @ sK16 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ($true = $false) | ((hollywood @ X0 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ((way @ sK16 @ mactual) = $false) | ((old @ X1 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f904,f841])).
% 16.37/3.95 thf(f841,plain,(
% 16.37/3.95 ((event @ sK15 @ mactual) = $true) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f838])).
% 16.37/3.95 thf(f904,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (($false = (barrel @ sK15 @ X1 @ mactual)) | ((event @ sK15 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ($false = (eiw_di @ sK16 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ((street @ sK16 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ sK15 @ X0 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f903])).
% 16.37/3.95 thf(f903,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((hollywood @ X0 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ((chevy @ X1 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK16 @ mactual)) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((lonely @ sK16 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ sK15 @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f891,f798])).
% 16.37/3.95 thf(f798,plain,(
% 16.37/3.95 ((eiw_di @ sK15 @ mactual) = $true) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f797])).
% 16.37/3.95 thf(f891,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((in @ sK15 @ X0 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK16 @ mactual)) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((old @ X1 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ((event @ sK15 @ mactual) = $false)) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f888])).
% 16.37/3.95 thf(f888,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((in @ sK15 @ X0 @ mactual) = $false) | ((dirty @ X1 @ mactual) = $false) | ((lonely @ sK16 @ mactual) = $false) | ((event @ sK15 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((way @ sK16 @ mactual) = $false) | ((old @ X1 @ mactual) = $false) | ((street @ sK16 @ mactual) = $false) | ((car @ X1 @ mactual) = $false) | ((white @ X1 @ mactual) = $false) | ((chevy @ X1 @ mactual) = $false) | ($false = (barrel @ sK15 @ X1 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ((eiw_di @ sK15 @ mactual) = $false) | ($false = (city @ X0 @ mactual)) | ($true = $false) | ($false = (eiw_di @ sK16 @ mactual))) ) | (spl0_2 | ~spl0_5)),
% 16.37/3.95 inference(superposition,[status(thm)],[f861,f404])).
% 16.37/3.95 thf(f404,plain,(
% 16.37/3.95 ( ! [X3 : $i,X6 : $i,X4 : $i,X5 : $i] : (($false = (down @ X4 @ X5 @ mactual)) | ((way @ X5 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((dirty @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false)) ) | ~spl0_5),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f403])).
% 16.37/3.95 thf(f861,plain,(
% 16.37/3.95 ((down @ sK15 @ sK16 @ mactual) = $true) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f858])).
% 16.37/3.95 thf(f902,plain,(
% 16.37/3.95 spl0_2 | ~spl0_11),
% 16.37/3.95 inference(avatar_contradiction_clause,[status(thm)],[f901])).
% 16.37/3.95 thf(f901,plain,(
% 16.37/3.95 $false | (spl0_2 | ~spl0_11)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f900])).
% 16.37/3.95 thf(f900,plain,(
% 16.37/3.95 ($true = $false) | (spl0_2 | ~spl0_11)),
% 16.37/3.95 inference(backward_demodulation,[status(thm)],[f837,f899])).
% 16.37/3.95 thf(f899,plain,(
% 16.37/3.95 ($false = (hollywood @ sK14 @ mactual)) | (spl0_2 | ~spl0_11)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f898])).
% 16.37/3.95 thf(f898,plain,(
% 16.37/3.95 ($false = (hollywood @ sK14 @ mactual)) | ($true = $false) | (spl0_2 | ~spl0_11)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f897,f794])).
% 16.37/3.95 thf(f794,plain,(
% 16.37/3.95 ($true = (eiw_di @ sK14 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f793])).
% 16.37/3.95 thf(f897,plain,(
% 16.37/3.95 ($false = (hollywood @ sK14 @ mactual)) | ((eiw_di @ sK14 @ mactual) = $false) | (spl0_2 | ~spl0_11)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f896])).
% 16.37/3.95 thf(f896,plain,(
% 16.37/3.95 ((eiw_di @ sK14 @ mactual) = $false) | ($true = $false) | ($false = (hollywood @ sK14 @ mactual)) | (spl0_2 | ~spl0_11)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f895,f839])).
% 16.37/3.95 thf(f839,plain,(
% 16.37/3.95 ($true = (city @ sK14 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f836])).
% 16.37/3.95 thf(f895,plain,(
% 16.37/3.95 ($false = (city @ sK14 @ mactual)) | ($false = (hollywood @ sK14 @ mactual)) | ((eiw_di @ sK14 @ mactual) = $false) | (spl0_2 | ~spl0_11)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f892])).
% 16.37/3.95 thf(f892,plain,(
% 16.37/3.95 ($false = (hollywood @ sK14 @ mactual)) | ((eiw_di @ sK14 @ mactual) = $false) | ($false = (city @ sK14 @ mactual)) | ($true = $false) | (spl0_2 | ~spl0_11)),
% 16.37/3.95 inference(superposition,[status(thm)],[f863,f639])).
% 16.37/3.95 thf(f639,plain,(
% 16.37/3.95 ( ! [X0 : $i] : (((in @ sK15 @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((hollywood @ X0 @ mactual) = $false) | ($false = (city @ X0 @ mactual))) ) | ~spl0_11),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f638])).
% 16.37/3.95 thf(f863,plain,(
% 16.37/3.95 ($true = (in @ sK15 @ sK14 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f860])).
% 16.37/3.95 thf(f837,plain,(
% 16.37/3.95 ($true = (hollywood @ sK14 @ mactual)) | spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f834])).
% 16.37/3.95 thf(f779,plain,(
% 16.37/3.95 spl0_1 | ~spl0_8),
% 16.37/3.95 inference(avatar_contradiction_clause,[status(thm)],[f778])).
% 16.37/3.95 thf(f778,plain,(
% 16.37/3.95 $false | (spl0_1 | ~spl0_8)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f777])).
% 16.37/3.95 thf(f777,plain,(
% 16.37/3.95 ($true = $false) | (spl0_1 | ~spl0_8)),
% 16.37/3.95 inference(backward_demodulation,[status(thm)],[f714,f776])).
% 16.37/3.95 thf(f776,plain,(
% 16.37/3.95 ((hollywood @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f775])).
% 16.37/3.95 thf(f775,plain,(
% 16.37/3.95 ($true = $false) | ((hollywood @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f774,f671])).
% 16.37/3.95 thf(f671,plain,(
% 16.37/3.95 ($true = (eiw_di @ sK4 @ mactual)) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f670])).
% 16.37/3.95 thf(f670,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK4 @ mactual)) = $true) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f669])).
% 16.37/3.95 thf(f669,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK4)) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f668])).
% 16.37/3.95 thf(f668,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f666])).
% 16.37/3.95 thf(f666,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK3 @ mactual))) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f665])).
% 16.37/3.95 thf(f665,plain,(
% 16.37/3.95 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK3) = $true) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f664])).
% 16.37/3.95 thf(f664,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f662])).
% 16.37/3.95 thf(f662,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK2 @ mactual)) = $true) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f661])).
% 16.37/3.95 thf(f661,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK2)) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f220])).
% 16.37/3.95 thf(f774,plain,(
% 16.37/3.95 ((eiw_di @ sK4 @ mactual) = $false) | ((hollywood @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f773])).
% 16.37/3.95 thf(f773,plain,(
% 16.37/3.95 ($true = $false) | ((eiw_di @ sK4 @ mactual) = $false) | ((hollywood @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f772,f716])).
% 16.37/3.95 thf(f716,plain,(
% 16.37/3.95 ((city @ sK4 @ mactual) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f713])).
% 16.37/3.95 thf(f713,plain,(
% 16.37/3.95 (((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)))))))))))))))))))))))) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f711])).
% 16.37/3.95 thf(f711,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f709])).
% 16.37/3.95 thf(f709,plain,(
% 16.37/3.95 ($true = ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f707])).
% 16.37/3.95 thf(f707,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f705])).
% 16.37/3.95 thf(f705,plain,(
% 16.37/3.95 ($true = ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f703])).
% 16.37/3.95 thf(f703,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f701])).
% 16.37/3.95 thf(f701,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f700])).
% 16.37/3.95 thf(f700,plain,(
% 16.37/3.95 (((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))))))))))))))))))))))))))))))) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f698])).
% 16.37/3.95 thf(f698,plain,(
% 16.37/3.95 ($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))))))))))))))))))))))))))))))) & (eiw_di @ sK11 @ mactual))) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f697])).
% 16.37/3.95 thf(f697,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK11)) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f696])).
% 16.37/3.95 thf(f696,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f694])).
% 16.37/3.95 thf(f694,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK10 @ mactual))) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f693])).
% 16.37/3.95 thf(f693,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK10)) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f692])).
% 16.37/3.95 thf(f692,plain,(
% 16.37/3.95 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f690])).
% 16.37/3.95 thf(f690,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK9 @ mactual))) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f689])).
% 16.37/3.95 thf(f689,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK9)) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f688])).
% 16.37/3.95 thf(f688,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f686])).
% 16.37/3.95 thf(f686,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK8 @ mactual)) = $true) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f685])).
% 16.37/3.95 thf(f685,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK8)) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f684])).
% 16.37/3.95 thf(f684,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f682])).
% 16.37/3.95 thf(f682,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK7 @ mactual))) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f681])).
% 16.37/3.95 thf(f681,plain,(
% 16.37/3.95 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK7) = $true) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f680])).
% 16.37/3.95 thf(f680,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f678])).
% 16.37/3.95 thf(f678,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK6 @ mactual))) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f677])).
% 16.37/3.95 thf(f677,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK6)) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f676])).
% 16.37/3.95 thf(f676,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f674])).
% 16.37/3.95 thf(f674,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK5 @ mactual))) | spl0_1),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f673])).
% 16.37/3.95 thf(f673,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK5)) | spl0_1),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f672])).
% 16.37/3.95 thf(f672,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f670])).
% 16.37/3.95 thf(f772,plain,(
% 16.37/3.95 ((city @ sK4 @ mactual) = $false) | ((eiw_di @ sK4 @ mactual) = $false) | ((hollywood @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f770])).
% 16.37/3.95 thf(f770,plain,(
% 16.37/3.95 ($true = $false) | ((hollywood @ sK4 @ mactual) = $false) | ((city @ sK4 @ mactual) = $false) | ((eiw_di @ sK4 @ mactual) = $false) | (spl0_1 | ~spl0_8)),
% 16.37/3.95 inference(superposition,[status(thm)],[f430,f740])).
% 16.37/3.95 thf(f740,plain,(
% 16.37/3.95 ($true = (in @ sK5 @ sK4 @ mactual)) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f737])).
% 16.37/3.95 thf(f737,plain,(
% 16.37/3.95 ($true = ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f735])).
% 16.37/3.95 thf(f735,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f733])).
% 16.37/3.95 thf(f733,plain,(
% 16.37/3.95 (((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)))))))))))))) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f731])).
% 16.37/3.95 thf(f731,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f729])).
% 16.37/3.95 thf(f729,plain,(
% 16.37/3.95 (((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)))))))))))))))) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f727])).
% 16.37/3.95 thf(f727,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f725])).
% 16.37/3.95 thf(f725,plain,(
% 16.37/3.95 ($true = ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f723])).
% 16.37/3.95 thf(f723,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f721])).
% 16.37/3.95 thf(f721,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f719])).
% 16.37/3.95 thf(f719,plain,(
% 16.37/3.95 (((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))))))))))))))))))))) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f717])).
% 16.37/3.95 thf(f717,plain,(
% 16.37/3.95 (((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)))))))))))))))))))))) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f715])).
% 16.37/3.95 thf(f715,plain,(
% 16.37/3.95 ($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),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f713])).
% 16.37/3.95 thf(f430,plain,(
% 16.37/3.95 ( ! [X1 : $i] : (((in @ sK5 @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual))) ) | ~spl0_8),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f429])).
% 16.37/3.95 thf(f429,definition,(
% 16.37/3.95 spl0_8 <=> ! [X1 : $i] : (($false = (city @ X1 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false))),
% 16.37/3.95 introduced(definition,[new_symbols(naming,[spl0_8])],[avatar_definition])).
% 16.37/3.95 thf(f714,plain,(
% 16.37/3.95 ((hollywood @ sK4 @ mactual) = $true) | spl0_1),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f711])).
% 16.37/3.95 thf(f660,plain,(
% 16.37/3.95 ~spl0_1 | ~spl0_3),
% 16.37/3.95 inference(avatar_contradiction_clause,[status(thm)],[f659])).
% 16.37/3.95 thf(f659,plain,(
% 16.37/3.95 $false | (~spl0_1 | ~spl0_3)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f658])).
% 16.37/3.95 thf(f658,plain,(
% 16.37/3.95 ($true = $false) | (~spl0_1 | ~spl0_3)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f230,f221])).
% 16.37/3.95 thf(f230,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((chevy @ Y4 @ mactual) & ((car @ Y4 @ mactual) & ((white @ Y4 @ mactual) & ((dirty @ Y4 @ mactual) & ((old @ Y4 @ mactual) & ((street @ Y5 @ mactual) & ((way @ Y5 @ mactual) & ((lonely @ Y5 @ mactual) & ((barrel @ Y3 @ Y4 @ mactual) & ((down @ Y3 @ Y5 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f228])).
% 16.37/3.95 thf(f228,definition,(
% 16.37/3.95 spl0_3 <=> ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))),
% 16.37/3.95 introduced(definition,[new_symbols(naming,[spl0_3])],[avatar_definition])).
% 16.37/3.95 thf(f513,plain,(
% 16.37/3.95 ~spl0_2 | ~spl0_4),
% 16.37/3.95 inference(avatar_contradiction_clause,[status(thm)],[f512])).
% 16.37/3.95 thf(f512,plain,(
% 16.37/3.95 $false | (~spl0_2 | ~spl0_4)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f511])).
% 16.37/3.95 thf(f511,plain,(
% 16.37/3.95 ($true = $false) | (~spl0_2 | ~spl0_4)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f237,f225])).
% 16.37/3.95 thf(f225,plain,(
% 16.37/3.95 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ~spl0_2),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f223])).
% 16.37/3.95 thf(f237,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_4),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f235])).
% 16.37/3.95 thf(f235,definition,(
% 16.37/3.95 spl0_4 <=> ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))),
% 16.37/3.95 introduced(definition,[new_symbols(naming,[spl0_4])],[avatar_definition])).
% 16.37/3.95 thf(f509,plain,(
% 16.37/3.95 ~spl0_3 | ~spl0_7),
% 16.37/3.95 inference(avatar_contradiction_clause,[status(thm)],[f508])).
% 16.37/3.95 thf(f508,plain,(
% 16.37/3.95 $false | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f507])).
% 16.37/3.95 thf(f507,plain,(
% 16.37/3.95 ($true = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(backward_demodulation,[status(thm)],[f264,f506])).
% 16.37/3.95 thf(f506,plain,(
% 16.37/3.95 ((eiw_di @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f505])).
% 16.37/3.95 thf(f505,plain,(
% 16.37/3.95 ((eiw_di @ sK6 @ mactual) = $false) | ($true = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f504,f307])).
% 16.37/3.95 thf(f307,plain,(
% 16.37/3.95 ($true = (car @ sK6 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f304])).
% 16.37/3.95 thf(f304,plain,(
% 16.37/3.95 (((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))))))))))))))))))))) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f302])).
% 16.37/3.95 thf(f302,plain,(
% 16.37/3.95 (((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)))))))))))))))))))))) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f300])).
% 16.37/3.95 thf(f300,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f298])).
% 16.37/3.95 thf(f298,plain,(
% 16.37/3.95 (((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)))))))))))))))))))))))) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f296])).
% 16.37/3.95 thf(f296,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f294])).
% 16.37/3.95 thf(f294,plain,(
% 16.37/3.95 ($true = ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f292])).
% 16.37/3.95 thf(f292,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f290])).
% 16.37/3.95 thf(f290,plain,(
% 16.37/3.95 ($true = ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))))))))))))))))))))))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f288])).
% 16.37/3.95 thf(f288,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f286])).
% 16.37/3.95 thf(f286,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f285])).
% 16.37/3.95 thf(f285,plain,(
% 16.37/3.95 (((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))))))))))))))))))))))))))))))) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f283])).
% 16.37/3.95 thf(f283,plain,(
% 16.37/3.95 ($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))))))))))))))))))))))))))))))) & (eiw_di @ sK11 @ mactual))) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f282])).
% 16.37/3.95 thf(f282,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))) @ sK11)) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f281])).
% 16.37/3.95 thf(f281,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f279])).
% 16.37/3.95 thf(f279,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y0 @ mactual) & (in @ Y0 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK10 @ mactual))) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f278])).
% 16.37/3.95 thf(f278,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK10)) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f277])).
% 16.37/3.95 thf(f277,plain,(
% 16.37/3.95 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f275])).
% 16.37/3.95 thf(f275,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ Y0 @ mactual) & ((in @ Y0 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ Y1 @ mactual) & (in @ Y1 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK9 @ mactual))) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f274])).
% 16.37/3.95 thf(f274,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ Y0 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((qmltpeq @ sK8 @ Y1 @ mactual) & ((in @ Y1 @ sK2 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & (in @ Y2 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK9)) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f273])).
% 16.37/3.95 thf(f273,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f271])).
% 16.37/3.95 thf(f271,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK8 @ mactual)) = $true) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f270])).
% 16.37/3.95 thf(f270,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK8)) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f269])).
% 16.37/3.95 thf(f269,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y0 @ Y1 @ mactual)) & ((fellow @ Y0 @ mactual) & ((man @ Y0 @ mactual) & ((young @ Y0 @ mactual) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((qmltpeq @ Y0 @ Y2 @ mactual) & ((in @ Y2 @ sK2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & (in @ Y3 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f267])).
% 16.37/3.95 thf(f267,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK7 @ mactual))) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f266])).
% 16.37/3.95 thf(f266,plain,(
% 16.37/3.95 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK7) = $true) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f265])).
% 16.37/3.95 thf(f265,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f263])).
% 16.37/3.95 thf(f263,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ sK6 @ mactual) & ((car @ sK6 @ mactual) & ((white @ sK6 @ mactual) & ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ Y0 @ mactual) & ((way @ Y0 @ mactual) & ((lonely @ Y0 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ Y0 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y1 @ Y2 @ mactual)) & ((fellow @ Y1 @ mactual) & ((man @ Y1 @ mactual) & ((young @ Y1 @ mactual) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((qmltpeq @ Y1 @ Y3 @ mactual) & ((in @ Y3 @ sK2 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & (in @ Y4 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK6 @ mactual))) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f262])).
% 16.37/3.95 thf(f262,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK6)) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f261])).
% 16.37/3.95 thf(f261,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f259])).
% 16.37/3.95 thf(f259,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ sK5 @ mactual) & ((chevy @ Y0 @ mactual) & ((car @ Y0 @ mactual) & ((white @ Y0 @ mactual) & ((dirty @ Y0 @ mactual) & ((old @ Y0 @ mactual) & ((street @ Y1 @ mactual) & ((way @ Y1 @ mactual) & ((lonely @ Y1 @ mactual) & ((barrel @ sK5 @ Y0 @ mactual) & ((down @ sK5 @ Y1 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ Y2 @ Y3 @ mactual)) & ((fellow @ Y2 @ mactual) & ((man @ Y2 @ mactual) & ((young @ Y2 @ mactual) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((qmltpeq @ Y2 @ Y4 @ mactual) & ((in @ Y4 @ sK2 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & (in @ Y5 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK5 @ mactual))) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f258])).
% 16.37/3.95 thf(f258,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ sK4 @ mactual) & ((city @ sK4 @ mactual) & ((event @ Y0 @ mactual) & ((chevy @ Y1 @ mactual) & ((car @ Y1 @ mactual) & ((white @ Y1 @ mactual) & ((dirty @ Y1 @ mactual) & ((old @ Y1 @ mactual) & ((street @ Y2 @ mactual) & ((way @ Y2 @ mactual) & ((lonely @ Y2 @ mactual) & ((barrel @ Y0 @ Y1 @ mactual) & ((down @ Y0 @ Y2 @ mactual) & ((in @ Y0 @ sK4 @ mactual) & ((~ (qmltpeq @ Y3 @ Y4 @ mactual)) & ((fellow @ Y3 @ mactual) & ((man @ Y3 @ mactual) & ((young @ Y3 @ mactual) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((qmltpeq @ Y3 @ Y5 @ mactual) & ((in @ Y5 @ sK2 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & (in @ Y6 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK5)) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f257])).
% 16.37/3.95 thf(f257,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f255])).
% 16.37/3.95 thf(f255,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK4 @ mactual)) = $true) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f254])).
% 16.37/3.95 thf(f254,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK4)) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f253])).
% 16.37/3.95 thf(f253,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((seat @ sK2 @ mactual) & ((furniture @ sK2 @ mactual) & ((front @ sK2 @ mactual) & ((seat @ sK3 @ mactual) & ((furniture @ sK3 @ mactual) & ((front @ sK3 @ mactual) & ((hollywood @ Y0 @ mactual) & ((city @ Y0 @ mactual) & ((event @ Y1 @ mactual) & ((chevy @ Y2 @ mactual) & ((car @ Y2 @ mactual) & ((white @ Y2 @ mactual) & ((dirty @ Y2 @ mactual) & ((old @ Y2 @ mactual) & ((street @ Y3 @ mactual) & ((way @ Y3 @ mactual) & ((lonely @ Y3 @ mactual) & ((barrel @ Y1 @ Y2 @ mactual) & ((down @ Y1 @ Y3 @ mactual) & ((in @ Y1 @ Y0 @ mactual) & ((~ (qmltpeq @ Y4 @ Y5 @ mactual)) & ((fellow @ Y4 @ mactual) & ((man @ Y4 @ mactual) & ((young @ Y4 @ mactual) & ((fellow @ Y5 @ mactual) & ((man @ Y5 @ mactual) & ((young @ Y5 @ mactual) & ((qmltpeq @ Y4 @ Y6 @ mactual) & ((in @ Y6 @ sK2 @ mactual) & ((qmltpeq @ Y5 @ Y7 @ mactual) & (in @ Y7 @ sK3 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f251])).
% 16.37/3.95 thf(f251,plain,(
% 16.37/3.95 ($true = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK3 @ mactual))) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f250])).
% 16.37/3.95 thf(f250,plain,(
% 16.37/3.95 (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK3) = $true) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f249])).
% 16.37/3.95 thf(f249,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f247])).
% 16.37/3.95 thf(f247,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ sK2 @ mactual)) = $true) | ~spl0_3),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f246])).
% 16.37/3.95 thf(f246,plain,(
% 16.37/3.95 ($true = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ sK2)) | ~spl0_3),
% 16.37/3.95 inference(sigma_clausification,[status(thm)],[f230])).
% 16.37/3.95 thf(f504,plain,(
% 16.37/3.95 ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f503])).
% 16.37/3.95 thf(f503,plain,(
% 16.37/3.95 ($true = $false) | ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f502,f311])).
% 16.37/3.95 thf(f311,plain,(
% 16.37/3.95 ($true = (dirty @ sK6 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f308])).
% 16.37/3.95 thf(f308,plain,(
% 16.37/3.95 ($true = ((dirty @ sK6 @ mactual) & ((old @ sK6 @ mactual) & ((street @ sK7 @ mactual) & ((way @ sK7 @ mactual) & ((lonely @ sK7 @ mactual) & ((barrel @ sK5 @ sK6 @ mactual) & ((down @ sK5 @ sK7 @ mactual) & ((in @ sK5 @ sK4 @ mactual) & ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))))))))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f306])).
% 16.37/3.95 thf(f306,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f304])).
% 16.37/3.95 thf(f502,plain,(
% 16.37/3.95 ((eiw_di @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f501])).
% 16.37/3.95 thf(f501,plain,(
% 16.37/3.95 ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ($true = $false) | ((dirty @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f500,f313])).
% 16.37/3.95 thf(f313,plain,(
% 16.37/3.95 ($true = (old @ sK6 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f310])).
% 16.37/3.95 thf(f310,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f308])).
% 16.37/3.95 thf(f500,plain,(
% 16.37/3.95 ((old @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f499])).
% 16.37/3.95 thf(f499,plain,(
% 16.37/3.95 ((dirty @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ($true = $false) | ((eiw_di @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f498,f305])).
% 16.37/3.95 thf(f305,plain,(
% 16.37/3.95 ((chevy @ sK6 @ mactual) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f302])).
% 16.37/3.95 thf(f498,plain,(
% 16.37/3.95 ((chevy @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f497])).
% 16.37/3.95 thf(f497,plain,(
% 16.37/3.95 ((chevy @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ($true = $false) | ((car @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f496,f309])).
% 16.37/3.95 thf(f309,plain,(
% 16.37/3.95 ($true = (white @ sK6 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f306])).
% 16.37/3.95 thf(f496,plain,(
% 16.37/3.95 ((white @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((chevy @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f494])).
% 16.37/3.95 thf(f494,plain,(
% 16.37/3.95 ((white @ sK6 @ mactual) = $false) | ((dirty @ sK6 @ mactual) = $false) | ((car @ sK6 @ mactual) = $false) | ((eiw_di @ sK6 @ mactual) = $false) | ((old @ sK6 @ mactual) = $false) | ($true = $false) | ((chevy @ sK6 @ mactual) = $false) | (~spl0_3 | ~spl0_7)),
% 16.37/3.95 inference(superposition,[status(thm)],[f321,f427])).
% 16.37/3.95 thf(f427,plain,(
% 16.37/3.95 ( ! [X0 : $i] : (((barrel @ sK5 @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false)) ) | ~spl0_7),
% 16.37/3.95 inference(avatar_component_clause,[status(thm)],[f426])).
% 16.37/3.95 thf(f426,definition,(
% 16.37/3.95 spl0_7 <=> ! [X0 : $i] : (((dirty @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)))),
% 16.37/3.95 introduced(definition,[new_symbols(naming,[spl0_7])],[avatar_definition])).
% 16.37/3.95 thf(f321,plain,(
% 16.37/3.95 ((barrel @ sK5 @ sK6 @ mactual) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f318])).
% 16.37/3.95 thf(f318,plain,(
% 16.37/3.95 (((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)))))))))))))) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f316])).
% 16.37/3.95 thf(f316,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f314])).
% 16.37/3.95 thf(f314,plain,(
% 16.37/3.95 (((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)))))))))))))))) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f312])).
% 16.37/3.95 thf(f312,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f310])).
% 16.37/3.95 thf(f264,plain,(
% 16.37/3.95 ((eiw_di @ sK6 @ mactual) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f263])).
% 16.37/3.95 thf(f492,plain,(
% 16.37/3.95 spl0_10 | spl0_9 | ~spl0_3 | ~spl0_6),
% 16.37/3.95 inference(avatar_split_clause,[status(thm)],[f491,f406,f228,f470,f473])).
% 16.37/3.95 thf(f491,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((furniture @ X3 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f490])).
% 16.37/3.95 thf(f490,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((furniture @ X3 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ($true = $false) | ($false = (furniture @ X0 @ mactual)) | ((front @ X3 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f489,f272])).
% 16.37/3.95 thf(f272,plain,(
% 16.37/3.95 ((eiw_di @ sK8 @ mactual) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f271])).
% 16.37/3.95 thf(f489,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ($false = (seat @ X3 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f488])).
% 16.37/3.95 thf(f488,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ($true = $false) | ($false = (furniture @ X0 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f487,f331])).
% 16.37/3.95 thf(f331,plain,(
% 16.37/3.95 ($true = (man @ sK8 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f328])).
% 16.37/3.95 thf(f328,plain,(
% 16.37/3.95 ($true = ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f326])).
% 16.37/3.95 thf(f326,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f324])).
% 16.37/3.95 thf(f324,plain,(
% 16.37/3.95 ($true = ((~ (qmltpeq @ sK8 @ sK9 @ mactual)) & ((fellow @ sK8 @ mactual) & ((man @ sK8 @ mactual) & ((young @ sK8 @ mactual) & ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f322])).
% 16.37/3.95 thf(f322,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f320])).
% 16.37/3.95 thf(f320,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f318])).
% 16.37/3.95 thf(f487,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (man @ sK8 @ mactual)) | ((in @ X1 @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((in @ X2 @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f486])).
% 16.37/3.95 thf(f486,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($true = $false) | ($false = (furniture @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ($false = (seat @ X3 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ($false = (man @ sK8 @ mactual)) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f485,f339])).
% 16.37/3.95 thf(f339,plain,(
% 16.37/3.95 ((young @ sK9 @ mactual) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f336])).
% 16.37/3.95 thf(f336,plain,(
% 16.37/3.95 (((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f334])).
% 16.37/3.95 thf(f334,plain,(
% 16.37/3.95 ($true = ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual))))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f332])).
% 16.37/3.95 thf(f332,plain,(
% 16.37/3.95 ($true = ((fellow @ sK9 @ mactual) & ((man @ sK9 @ mactual) & ((young @ sK9 @ mactual) & ((qmltpeq @ sK8 @ sK10 @ mactual) & ((in @ sK10 @ sK2 @ mactual) & ((qmltpeq @ sK9 @ sK11 @ mactual) & (in @ sK11 @ sK3 @ mactual)))))))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f330])).
% 16.37/3.95 thf(f330,plain,(
% 16.37/3.95 ($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_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f328])).
% 16.37/3.95 thf(f485,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (seat @ X3 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((in @ X1 @ X0 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ($false = (man @ sK8 @ mactual)) | ((in @ X2 @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f484])).
% 16.37/3.95 thf(f484,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ sK8 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($true = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (man @ sK8 @ mactual)) | ($false = (seat @ X3 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ((front @ X3 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f483,f337])).
% 16.37/3.95 thf(f337,plain,(
% 16.37/3.95 ($true = (man @ sK9 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f334])).
% 16.37/3.95 thf(f483,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (furniture @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((furniture @ X3 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ($false = (man @ sK9 @ mactual)) | ($false = (seat @ X3 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ($false = (man @ sK8 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f482])).
% 16.37/3.95 thf(f482,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ($false = (man @ sK8 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($true = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ($false = (front @ X0 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ($false = (man @ sK9 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f481,f335])).
% 16.37/3.95 thf(f335,plain,(
% 16.37/3.95 ($true = (fellow @ sK9 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f332])).
% 16.37/3.95 thf(f481,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ($false = (fellow @ sK9 @ mactual)) | ((young @ sK9 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ($false = (man @ sK8 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (man @ sK9 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f480])).
% 16.37/3.95 thf(f480,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($false = (fellow @ sK9 @ mactual)) | ($false = (man @ sK8 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($true = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((young @ sK9 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((front @ X3 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ($false = (man @ sK9 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f479,f329])).
% 16.37/3.95 thf(f329,plain,(
% 16.37/3.95 ($true = (fellow @ sK8 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f326])).
% 16.37/3.95 thf(f479,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (seat @ X3 @ mactual)) | ((in @ X2 @ X3 @ mactual) = $false) | ($false = (fellow @ sK8 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (fellow @ sK9 @ mactual)) | ($false = (man @ sK8 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (man @ sK9 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f478])).
% 16.37/3.95 thf(f478,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((in @ X2 @ X3 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ($false = (man @ sK8 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (man @ sK9 @ mactual)) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (fellow @ sK8 @ mactual)) | ($true = $false) | ((young @ sK9 @ mactual) = $false) | ($false = (fellow @ sK9 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ($false = (front @ X0 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f477,f276])).
% 16.37/3.95 thf(f276,plain,(
% 16.37/3.95 ($true = (eiw_di @ sK9 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f275])).
% 16.37/3.95 thf(f477,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ($false = (man @ sK8 @ mactual)) | ((in @ X2 @ X3 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ($false = (man @ sK9 @ mactual)) | ((front @ X3 @ mactual) = $false) | ($false = (fellow @ sK9 @ mactual)) | ((in @ X1 @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ($false = (fellow @ sK8 @ mactual))) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f476])).
% 16.37/3.95 thf(f476,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((seat @ X0 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((furniture @ X3 @ mactual) = $false) | ($false = (fellow @ sK9 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (fellow @ sK8 @ mactual)) | ((in @ X2 @ X3 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ($false = (man @ sK9 @ mactual)) | ($false = (furniture @ X0 @ mactual)) | ($true = $false) | ($false = (man @ sK8 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ sK9 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f449,f333])).
% 16.37/3.95 thf(f333,plain,(
% 16.37/3.95 ($true = (young @ sK8 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f330])).
% 16.37/3.95 thf(f449,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (front @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((front @ X3 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((eiw_di @ sK8 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((seat @ X0 @ mactual) = $false) | ($false = (fellow @ sK8 @ mactual)) | ($false = (man @ sK9 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (fellow @ sK9 @ mactual)) | ((furniture @ X3 @ mactual) = $false) | ($false = (man @ sK8 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f445])).
% 16.37/3.95 thf(f445,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (fellow @ sK8 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((qmltpeq @ sK8 @ X1 @ mactual) = $false) | ((in @ X1 @ X0 @ mactual) = $false) | ((in @ X2 @ X3 @ mactual) = $false) | ((young @ sK8 @ mactual) = $false) | ((young @ sK9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (furniture @ X0 @ mactual)) | ((eiw_di @ sK8 @ mactual) = $false) | ($true = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (fellow @ sK9 @ mactual)) | ((qmltpeq @ sK9 @ X2 @ mactual) = $false) | ($false = (man @ sK9 @ mactual)) | ((furniture @ X3 @ mactual) = $false) | ($false = (man @ sK8 @ mactual)) | ((eiw_di @ sK9 @ mactual) = $false) | ($false = (front @ X0 @ mactual)) | ((seat @ X0 @ mactual) = $false) | ($false = (seat @ X3 @ mactual)) | ((front @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_6)),
% 16.37/3.95 inference(superposition,[status(thm)],[f407,f346])).
% 16.37/3.95 thf(f346,plain,(
% 16.37/3.95 ($false = (qmltpeq @ sK8 @ sK9 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(not_proxy_clausification,[status(thm)],[f327])).
% 16.37/3.95 thf(f327,plain,(
% 16.37/3.95 ($true = (~ (qmltpeq @ sK8 @ sK9 @ mactual))) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f324])).
% 16.37/3.95 thf(f444,plain,(
% 16.37/3.95 spl0_7 | spl0_8 | ~spl0_3 | ~spl0_5),
% 16.37/3.95 inference(avatar_split_clause,[status(thm)],[f443,f403,f228,f429,f426])).
% 16.37/3.95 thf(f443,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f442])).
% 16.37/3.95 thf(f442,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (($false = (old @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ($true = $false) | ((chevy @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f441,f303])).
% 16.37/3.95 thf(f303,plain,(
% 16.37/3.95 ((event @ sK5 @ mactual) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f300])).
% 16.37/3.95 thf(f441,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((chevy @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((white @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f440])).
% 16.37/3.95 thf(f440,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((car @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ($true = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f439,f315])).
% 16.37/3.95 thf(f315,plain,(
% 16.37/3.95 ((street @ sK7 @ mactual) = $true) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f312])).
% 16.37/3.95 thf(f439,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((in @ sK5 @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((event @ sK5 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((chevy @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f438])).
% 16.37/3.95 thf(f438,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ($true = $false) | ((hollywood @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((barrel @ sK5 @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f437,f260])).
% 16.37/3.95 thf(f260,plain,(
% 16.37/3.95 ($true = (eiw_di @ sK5 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f259])).
% 16.37/3.95 thf(f437,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((in @ sK5 @ X1 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ($false = (eiw_di @ sK5 @ mactual)) | ((dirty @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((street @ sK7 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f436])).
% 16.37/3.95 thf(f436,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((car @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK5 @ mactual)) | ((street @ sK7 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ($true = $false) | ($false = (city @ X1 @ mactual)) | ((white @ X0 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f435,f319])).
% 16.37/3.95 thf(f319,plain,(
% 16.37/3.95 ($true = (lonely @ sK7 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f316])).
% 16.37/3.95 thf(f435,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((car @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ($false = (city @ X1 @ mactual)) | ((event @ sK5 @ mactual) = $false) | ($false = (eiw_di @ sK5 @ mactual)) | ((white @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f434])).
% 16.37/3.95 thf(f434,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((in @ sK5 @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK5 @ mactual)) | ((eiw_di @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((lonely @ sK7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($true = $false) | ((street @ sK7 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((white @ X0 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f433,f317])).
% 16.37/3.95 thf(f317,plain,(
% 16.37/3.95 ($true = (way @ sK7 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f314])).
% 16.37/3.95 thf(f433,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ((white @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((lonely @ sK7 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ($false = (eiw_di @ sK5 @ mactual))) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f432])).
% 16.37/3.95 thf(f432,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (($true = $false) | ((event @ sK5 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ($false = (city @ X1 @ mactual)) | ($false = (old @ X0 @ mactual)) | ((car @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ($false = (eiw_di @ sK5 @ mactual)) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(forward_demodulation,[status(thm)],[f411,f268])).
% 16.37/3.95 thf(f268,plain,(
% 16.37/3.95 ($true = (eiw_di @ sK7 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f267])).
% 16.37/3.95 thf(f411,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ sK7 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ($false = (eiw_di @ sK5 @ mactual)) | ($false = (city @ X1 @ mactual)) | ((hollywood @ X1 @ mactual) = $false) | ((event @ sK5 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((lonely @ sK7 @ mactual) = $false) | ((eiw_di @ X0 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((car @ X0 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(trivial_inequality_removal,[status(thm)],[f410])).
% 16.37/3.95 thf(f410,plain,(
% 16.37/3.95 ( ! [X0 : $i,X1 : $i] : (((eiw_di @ X0 @ mactual) = $false) | ((chevy @ X0 @ mactual) = $false) | ((lonely @ sK7 @ mactual) = $false) | ((dirty @ X0 @ mactual) = $false) | ($true = $false) | ($false = (city @ X1 @ mactual)) | ($false = (eiw_di @ sK5 @ mactual)) | ((car @ X0 @ mactual) = $false) | ((barrel @ sK5 @ X0 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((way @ sK7 @ mactual) = $false) | ((in @ sK5 @ X1 @ mactual) = $false) | ($false = (old @ X0 @ mactual)) | ((event @ sK5 @ mactual) = $false) | ((hollywood @ X1 @ mactual) = $false) | ((street @ sK7 @ mactual) = $false) | ((white @ X0 @ mactual) = $false) | ((eiw_di @ sK7 @ mactual) = $false)) ) | (~spl0_3 | ~spl0_5)),
% 16.37/3.95 inference(superposition,[status(thm)],[f323,f404])).
% 16.37/3.95 thf(f323,plain,(
% 16.37/3.95 ($true = (down @ sK5 @ sK7 @ mactual)) | ~spl0_3),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f320])).
% 16.37/3.95 thf(f408,plain,(
% 16.37/3.95 spl0_5 | spl0_6 | ~spl0_2),
% 16.37/3.95 inference(avatar_split_clause,[status(thm)],[f401,f223,f406,f403])).
% 16.37/3.95 thf(f401,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (in @ X10 @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (qmltpeq @ X8 @ X10 @ mactual)) | ((dirty @ X6 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((young @ X8 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ($false = (down @ X4 @ X5 @ mactual)) | ((car @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((man @ X7 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((fellow @ X8 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f400])).
% 16.37/3.95 thf(f400,plain,(
% 16.37/3.95 ( ! [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) | ((man @ X7 @ mactual) = $false) | ((in @ X9 @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((young @ X8 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((dirty @ X6 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ((man @ X8 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | (((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((street @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f399])).
% 16.37/3.95 thf(f399,plain,(
% 16.37/3.95 ( ! [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) | ((lonely @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ((man @ X8 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((dirty @ X6 @ mactual) = $false) | ($false = ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))) | ((young @ X8 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ((qmltpeq @ X7 @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ($false = (event @ X4 @ mactual))) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f398])).
% 16.37/3.95 thf(f398,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((young @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((dirty @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((man @ X8 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ($false = (young @ X7 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((car @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f397])).
% 16.37/3.95 thf(f397,plain,(
% 16.37/3.95 ( ! [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 @ X9 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((fellow @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($false = (young @ X7 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((street @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual)))))) | ((man @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ((dirty @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f396])).
% 16.37/3.95 thf(f396,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((white @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((dirty @ X6 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = ((man @ X8 @ mactual) & ((young @ X8 @ mactual) & ((qmltpeq @ X7 @ X9 @ mactual) & ((in @ X9 @ X1 @ mactual) & ((qmltpeq @ X8 @ X10 @ mactual) & (in @ X10 @ X2 @ mactual))))))) | ($false = (young @ X7 @ mactual)) | ((front @ X2 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((street @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((fellow @ X8 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ((way @ X5 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((fellow @ X7 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f395])).
% 16.37/3.95 thf(f395,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (old @ X6 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ((man @ X7 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((way @ X5 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((fellow @ X7 @ 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) | ((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (young @ X7 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((street @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f394])).
% 16.37/3.95 thf(f394,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((car @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((man @ X7 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ($false = (event @ X4 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((fellow @ X7 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (eiw_di @ X10 @ 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 @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f393])).
% 16.37/3.95 thf(f393,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((fellow @ X7 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((way @ X5 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ 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) | ((dirty @ X6 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((in @ X4 @ X3 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($true = (qmltpeq @ X7 @ X8 @ mactual))) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f392])).
% 16.37/3.95 thf(f392,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (old @ X6 @ mactual)) | ((street @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ($true = (qmltpeq @ X7 @ X8 @ mactual)) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((in @ X4 @ X3 @ 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)))))))))) = $false) | ($false = (city @ X3 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(not_proxy_clausification,[status(thm)],[f391])).
% 16.37/3.95 thf(f391,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (down @ X4 @ X5 @ mactual)) | ($false = (old @ X6 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((in @ X4 @ X3 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((~ (qmltpeq @ X7 @ X8 @ mactual)) = $false) | ((car @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((dirty @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ 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) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f390])).
% 16.37/3.95 thf(f390,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((in @ X4 @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((barrel @ X4 @ X6 @ 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) | ((eiw_di @ X2 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (down @ X4 @ X5 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f389])).
% 16.37/3.95 thf(f389,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (seat @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ((car @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (down @ X4 @ X5 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((street @ X5 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($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)))))))))))))) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f388])).
% 16.37/3.95 thf(f388,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (event @ X4 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($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)))))))))))))) | ((furniture @ X1 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ($false = (old @ X6 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((barrel @ X4 @ X6 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ($false = (hollywood @ X3 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual))) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f387])).
% 16.37/3.95 thf(f387,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X8 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X7 @ 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) | ((eiw_di @ X4 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((white @ X6 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($false = (city @ X3 @ mactual)) | ($false = (old @ X6 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f386])).
% 16.37/3.95 thf(f386,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((chevy @ X6 @ 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))))))))))))))) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((car @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((dirty @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (seat @ X2 @ mactual))) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f385])).
% 16.37/3.95 thf(f385,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (event @ X4 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((white @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ X1 @ 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 @ X7 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f384])).
% 16.37/3.95 thf(f384,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (city @ X3 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((chevy @ X6 @ mactual) = $false) | ((lonely @ X5 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X2 @ 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))))))))))))))))) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((car @ X6 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((street @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f383])).
% 16.37/3.95 thf(f383,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ($false = (city @ X3 @ 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 @ X10 @ mactual)) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((lonely @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((chevy @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f382])).
% 16.37/3.95 thf(f382,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (event @ X4 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((furniture @ X2 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((lonely @ X5 @ 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))))))))))))))))))) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((street @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f381])).
% 16.37/3.95 thf(f381,plain,(
% 16.37/3.95 ( ! [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) | ((eiw_di @ X1 @ mactual) = $false) | ((seat @ 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 @ X6 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false) | ((way @ X5 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($false = (front @ X1 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f380])).
% 16.37/3.95 thf(f380,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (front @ X1 @ 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) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((street @ X5 @ mactual) = $false) | ($false = (city @ X3 @ mactual))) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f379])).
% 16.37/3.95 thf(f379,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ($false = (event @ X4 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (city @ X3 @ mactual)) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((furniture @ X1 @ 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)))))))))))))))))))))) = $false) | ($false = (hollywood @ X3 @ mactual)) | ($false = (seat @ X2 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f378])).
% 16.37/3.95 thf(f378,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((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))))))))))))))))))))))) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X3 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ($false = (city @ X3 @ mactual)) | ((front @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f377])).
% 16.37/3.95 thf(f377,plain,(
% 16.37/3.95 ( ! [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 @ X4 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($false = (hollywood @ X3 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f376])).
% 16.37/3.95 thf(f376,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($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)))))))))))))))))))))))))) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((front @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f375])).
% 16.37/3.95 thf(f375,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : ((((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)))))))))))))))))))))))))) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X9 @ mactual) = $false) | ((furniture @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f374])).
% 16.37/3.95 thf(f374,plain,(
% 16.37/3.95 ( ! [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 @ X5 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((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) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (seat @ X2 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual))) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f373])).
% 16.37/3.95 thf(f373,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X10 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((furniture @ X1 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | (((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 @ X8 @ mactual) = $false) | ($false = (front @ X1 @ mactual)) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f372])).
% 16.37/3.95 thf(f372,plain,(
% 16.37/3.95 ( ! [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 @ X5 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ 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) | ((furniture @ X1 @ mactual) = $false) | ((seat @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f371])).
% 16.37/3.95 thf(f371,plain,(
% 16.37/3.95 ( ! [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 @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($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))))))))))))))))))))))))))))))) | ((seat @ X1 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f370])).
% 16.37/3.95 thf(f370,plain,(
% 16.37/3.95 ( ! [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 @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ($false = (eiw_di @ X10 @ mactual)) | ((eiw_di @ X8 @ mactual) = $false) | ($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) & ((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))))))))))))))))))))))))))))))))) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f369])).
% 16.37/3.95 thf(f369,plain,(
% 16.37/3.95 ( ! [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) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ($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) & ((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))))))))))))))))))))))))))))))) & (eiw_di @ X10 @ mactual))) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f368])).
% 16.37/3.95 thf(f368,plain,(
% 16.37/3.95 ( ! [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 @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | (((^[Y0 : $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 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))) @ X10) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f367])).
% 16.37/3.95 thf(f367,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $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 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual))))) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X9 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f366])).
% 16.37/3.95 thf(f366,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((?? @ $i @ (^[Y0 : $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 @ Y0 @ mactual) & (in @ Y0 @ X2 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X9 @ mactual)) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f365])).
% 16.37/3.95 thf(f365,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X9 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $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 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X9) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f364])).
% 16.37/3.95 thf(f364,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $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 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X8 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f363])).
% 16.37/3.95 thf(f363,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $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 @ Y0 @ mactual) & ((in @ Y0 @ X1 @ mactual) & ((qmltpeq @ X8 @ Y1 @ mactual) & (in @ Y1 @ X2 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X8 @ mactual)) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f362])).
% 16.37/3.95 thf(f362,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X8 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X8) = $false) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f361])).
% 16.37/3.95 thf(f361,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X7 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f360])).
% 16.37/3.95 thf(f360,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X7 @ mactual)) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X6 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f359])).
% 16.37/3.95 thf(f359,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : (($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X7)) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f358])).
% 16.37/3.95 thf(f358,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X6 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f357])).
% 16.37/3.95 thf(f357,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X5 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X6 @ mactual)) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f356])).
% 16.37/3.95 thf(f356,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X6 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X6) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f355])).
% 16.37/3.95 thf(f355,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X5 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f354])).
% 16.37/3.95 thf(f354,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X4 @ mactual) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X5 @ mactual)) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f353])).
% 16.37/3.95 thf(f353,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i,X5 : $i] : (((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X5) = $false) | ((eiw_di @ X4 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f352])).
% 16.37/3.95 thf(f352,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X4 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f351])).
% 16.37/3.95 thf(f351,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X3 @ mactual) = $false) | ($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $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 @ 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))))))))))))))))))))))))))))))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X4 @ mactual))) | ((eiw_di @ X1 @ mactual) = $false) | ((eiw_di @ X2 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f350])).
% 16.37/3.95 thf(f350,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (((eiw_di @ X1 @ mactual) = $false) | (((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $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 @ 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 @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X4) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f349])).
% 16.37/3.95 thf(f349,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $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 @ 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 @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X3 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f348])).
% 16.37/3.95 thf(f348,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $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 @ 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 @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X3 @ mactual)) = $false) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f347])).
% 16.37/3.95 thf(f347,plain,(
% 16.37/3.95 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((eiw_di @ X2 @ mactual) = $false) | ($false = ((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X3)) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f245])).
% 16.37/3.95 thf(f245,plain,(
% 16.37/3.95 ( ! [X2 : $i,X1 : $i] : (($false = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ((eiw_di @ X2 @ mactual) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f244])).
% 16.37/3.95 thf(f244,plain,(
% 16.37/3.95 ( ! [X2 : $i,X1 : $i] : ((((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X2 @ mactual)) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f243])).
% 16.37/3.95 thf(f243,plain,(
% 16.37/3.95 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X2) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f242])).
% 16.37/3.95 thf(f242,plain,(
% 16.37/3.95 ( ! [X1 : $i] : (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((eiw_di @ X1 @ mactual) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f241])).
% 16.37/3.95 thf(f241,plain,(
% 16.37/3.95 ( ! [X1 : $i] : (($false = ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) & (eiw_di @ X1 @ mactual)))) ) | ~spl0_2),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f240])).
% 16.37/3.95 thf(f240,plain,(
% 16.37/3.95 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))) @ X1) = $false)) ) | ~spl0_2),
% 16.37/3.95 inference(pi_clausification,[status(thm)],[f225])).
% 16.37/3.95 thf(f239,plain,(
% 16.37/3.95 spl0_3 | spl0_4),
% 16.37/3.95 inference(avatar_split_clause,[status(thm)],[f233,f235,f228])).
% 16.37/3.95 thf(f233,plain,(
% 16.37/3.95 ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) | ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f215])).
% 16.37/3.95 thf(f215,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) = $false) | ($true = (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 16.37/3.95 thf(f213,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) = $false) | (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) = $false)),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f212])).
% 16.37/3.95 thf(f212,plain,(
% 16.37/3.95 ($false = (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) & ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((seat @ Y0 @ mactual) & ((furniture @ Y0 @ mactual) & ((front @ Y0 @ mactual) & ((seat @ Y1 @ mactual) & ((furniture @ Y1 @ mactual) & ((front @ Y1 @ mactual) & ((hollywood @ Y2 @ mactual) & ((city @ Y2 @ mactual) & ((event @ Y3 @ mactual) & ((street @ Y4 @ mactual) & ((way @ Y4 @ mactual) & ((lonely @ Y4 @ mactual) & ((chevy @ Y5 @ mactual) & ((car @ Y5 @ mactual) & ((white @ Y5 @ mactual) & ((dirty @ Y5 @ mactual) & ((old @ Y5 @ mactual) & ((barrel @ Y3 @ Y5 @ mactual) & ((down @ Y3 @ Y4 @ mactual) & ((in @ Y3 @ Y2 @ mactual) & ((~ (qmltpeq @ Y6 @ Y7 @ mactual)) & ((fellow @ Y6 @ mactual) & ((man @ Y6 @ mactual) & ((young @ Y6 @ mactual) & ((fellow @ Y7 @ mactual) & ((man @ Y7 @ mactual) & ((young @ Y7 @ mactual) & ((qmltpeq @ Y6 @ Y8 @ mactual) & ((in @ Y8 @ Y0 @ mactual) & ((qmltpeq @ Y7 @ Y9 @ mactual) & (in @ Y9 @ Y1 @ mactual))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))))))),
% 16.37/3.95 inference(not_proxy_clausification,[status(thm)],[f211])).
% 16.37/3.95 thf(f211,plain,(
% 16.37/3.95 ($true = (~ (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) & ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))))))),
% 16.37/3.95 inference(beta_eta_normalization,[status(thm)],[f176])).
% 16.37/3.95 thf(f176,plain,(
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@ $i @ (^[Y10 : $i]: ((Y8 @ Y10 @ Y9) & (eiw_di @ Y10 @ Y9))))))) @ (^[Y8 : $i]: ((^[Y9 : $i > mworld > $o]: ((^[Y10 : mworld]: (?? @ $i @ (^[Y11 : $i]: ((Y9 @ Y11 @ Y10) & (eiw_di @ 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))))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.37/3.95 inference(definition_unfolding,[status(thm)],[f144,f129,f146,f135,f136,f136,f136,f136,f136,f136,f136,f136,f136,f136,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f139,f146,f146,f146,f146,f146,f146,f146,f146,f146,f136,f136,f136,f136,f136,f136,f136,f136,f136,f136,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f139,f146,f146,f146,f146,f146,f146,f146,f146,f146,f135,f136,f136,f136,f136,f136,f136,f136,f136,f136,f136,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f139,f146,f146,f146,f146,f146,f146,f146,f146,f146,f136,f136,f136,f136,f136,f136,f136,f136,f136,f136,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f146,f139,f146,f146,f146,f146,f146,f146,f146,f146,f146])).
% 16.37/3.95 thf(f139,plain,(
% 16.37/3.95 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 16.37/3.95 inference(cnf_transformation,[status(thm)],[f84])).
% 16.37/3.95 thf(f84,plain,(
% 16.37/3.95 (mnot = (^[Y0 : mworld > $o]: ((^[Y1 : mworld]: (~ (Y0 @ Y1))))))),
% 16.37/3.95 inference(fool_elimination,[status(thm)],[f83])).
% 16.37/3.95 thf(f83,plain,(
% 16.37/3.95 ((^[X0 : mworld > $o, X1 : mworld] : (~(X0 @ X1))) = mnot)),
% 16.37/3.95 inference(rectify,[status(thm)],[f2])).
% 16.37/3.95 thf(f2,axiom,(
% 16.37/3.95 ((^[X1 : mworld > $o, X2 : mworld] : (~(X1 @ X2))) = mnot)),
% 16.37/3.95 file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mnot_def)).
% 16.37/3.95 thf(f136,plain,(
% 16.37/3.95 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 16.37/3.95 inference(cnf_transformation,[status(thm)],[f51])).
% 16.37/3.95 thf(f51,plain,(
% 16.37/3.95 (mexists_di = (^[Y0 : $i > mworld > $o]: ((^[Y1 : mworld]: (?? @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) & (eiw_di @ Y2 @ Y1))))))))),
% 16.37/3.95 inference(fool_elimination,[status(thm)],[f50])).
% 16.37/3.95 thf(f50,plain,(
% 16.37/3.95 ((^[X0 : $i > mworld > $o, X1 : mworld] : (? [X2 : $i] : ((eiw_di @ X2 @ X1) & (X0 @ X2 @ X1)))) = mexists_di)),
% 16.37/3.95 inference(rectify,[status(thm)],[f12])).
% 16.37/3.95 thf(f12,axiom,(
% 16.37/3.95 ((^[X1 : $i > mworld > $o, X2 : mworld] : (? [X5 : $i] : ((eiw_di @ X5 @ X2) & (X1 @ X5 @ X2)))) = mexists_di)),
% 16.37/3.95 file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mexists_di_def)).
% 16.37/3.95 thf(f135,plain,(
% 16.37/3.95 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 16.37/3.95 inference(cnf_transformation,[status(thm)],[f80])).
% 16.37/3.95 thf(f80,plain,(
% 16.37/3.95 (mimplies = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) => (Y1 @ Y2))))))))),
% 16.37/3.95 inference(fool_elimination,[status(thm)],[f79])).
% 16.37/3.95 thf(f79,plain,(
% 16.37/3.95 ((^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X0 @ X2) => (X1 @ X2))) = mimplies)),
% 16.37/3.95 inference(rectify,[status(thm)],[f5])).
% 16.37/3.95 thf(f5,axiom,(
% 16.37/3.95 ((^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X1 @ X2) => (X3 @ X2))) = mimplies)),
% 16.37/3.95 file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mimplies_def)).
% 16.37/3.95 thf(f146,plain,(
% 16.37/3.95 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 16.37/3.95 inference(cnf_transformation,[status(thm)],[f82])).
% 16.37/3.95 thf(f82,plain,(
% 16.37/3.95 (mand = (^[Y0 : mworld > $o]: ((^[Y1 : mworld > $o]: ((^[Y2 : mworld]: ((Y0 @ Y2) & (Y1 @ Y2))))))))),
% 16.37/3.95 inference(fool_elimination,[status(thm)],[f81])).
% 16.37/3.95 thf(f81,plain,(
% 16.37/3.95 (mand = (^[X0 : mworld > $o, X1 : mworld > $o, X2 : mworld] : ((X1 @ X2) & (X0 @ X2))))),
% 16.37/3.95 inference(rectify,[status(thm)],[f3])).
% 16.37/3.95 thf(f3,axiom,(
% 16.37/3.95 (mand = (^[X1 : mworld > $o, X3 : mworld > $o, X2 : mworld] : ((X3 @ X2) & (X1 @ X2))))),
% 16.37/3.95 file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mand_def)).
% 16.37/3.95 thf(f129,plain,(
% 16.37/3.95 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 16.37/3.95 inference(cnf_transformation,[status(thm)],[f72])).
% 16.37/3.95 thf(f72,plain,(
% 16.37/3.95 (mlocal = (^[Y0 : mworld > $o]: (Y0 @ mactual)))),
% 16.37/3.95 inference(fool_elimination,[status(thm)],[f1])).
% 16.37/3.95 thf(f1,axiom,(
% 16.37/3.95 (mlocal = (^[X0 : mworld > $o] : (X0 @ mactual)))),
% 16.37/3.95 file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',mlocal_def)).
% 16.37/3.95 thf(f144,plain,(
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% 16.37/3.95 inference(cnf_transformation,[status(thm)],[f71])).
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% 16.37/3.95 inference(rectify,[status(thm)],[f40])).
% 16.37/3.95 thf(f40,negated_conjecture,(
% 16.37/3.95 ~(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))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.37/3.95 inference(negated_conjecture,[status(cth)],[f39])).
% 16.37/3.95 thf(f39,conjecture,(
% 16.37/3.95 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))),
% 16.37/3.95 file('/export/starexec/sandbox/tmp/tmp.fppzKqLbnn/DTF2THF_7654.p',co1)).
% 16.37/3.95 thf(f226,plain,(
% 16.37/3.95 spl0_1 | spl0_2),
% 16.37/3.95 inference(avatar_split_clause,[status(thm)],[f216,f223,f219])).
% 16.37/3.95 thf(f216,plain,(
% 16.37/3.95 ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false)),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f214])).
% 16.37/3.95 thf(f214,plain,(
% 16.37/3.95 (((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) => (?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual))))) = $false) | ((?? @ $i @ (^[Y0 : $i]: ((?? @ $i @ (^[Y1 : $i]: ((?? @ $i @ (^[Y2 : $i]: ((?? @ $i @ (^[Y3 : $i]: ((?? @ $i @ (^[Y4 : $i]: ((?? @ $i @ (^[Y5 : $i]: ((?? @ $i @ (^[Y6 : $i]: ((?? @ $i @ (^[Y7 : $i]: ((?? @ $i @ (^[Y8 : $i]: ((?? @ $i @ (^[Y9 : $i]: (((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))))))))))))))))))))))))))))))) & (eiw_di @ Y9 @ mactual)))) & (eiw_di @ Y8 @ mactual)))) & (eiw_di @ Y7 @ mactual)))) & (eiw_di @ Y6 @ mactual)))) & (eiw_di @ Y5 @ mactual)))) & (eiw_di @ Y4 @ mactual)))) & (eiw_di @ Y3 @ mactual)))) & (eiw_di @ Y2 @ mactual)))) & (eiw_di @ Y1 @ mactual)))) & (eiw_di @ Y0 @ mactual)))) = $false)),
% 16.37/3.95 inference(binary_proxy_clausification,[status(thm)],[f213])).
% 16.37/3.95 % SZS output end Proof for DTF2THF_7654
% 16.37/3.95 % (7909)------------------------------
% 16.37/3.95 % (7909)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.37/3.95 % (7909)Termination reason: Refutation
% 16.37/3.95
% 16.37/3.95 % (7909)Memory used [KB]: 9594
% 16.37/3.95 % (7909)Time elapsed: 0.563 s
% 16.37/3.95 % (7909)Instructions burned: 1033 (million)
% 16.37/3.95 % (7909)------------------------------
% 16.37/3.95 % (7909)------------------------------
% 16.37/3.95 % (7788)Success in time 2.333 s
%------------------------------------------------------------------------------