%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NLP001^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:16:20 AM UTC 2026
% Result : Theorem 2.69s 0.85s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 16
% Syntax : Number of formulae : 396 ( 81 unt; 0 typ; 8 def)
% Number of atoms : 14787 (1567 equ; 0 cnn)
% Maximal formula atoms : 128 ( 37 avg)
% Number of connectives : 31333 (7088 ~;5365 |; 0 &;17057 @)
% ( 8 <=>; 905 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 540 ( 540 >; 0 *; 0 +; 0 <<)
% Number of symbols : 87 ( 83 usr; 20 con; 0-4 aty)
% ( 910 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 2179 ( 0 sgn 352 !; 0 ?;2179 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
mu: $tType ).
thf(type_def_6,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
qmltpeq: mu > mu > $i > $o ).
thf(func_def_1,type,
meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_3,type,
mnot: ( $i > $o ) > $i > $o ).
thf(func_def_4,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_5,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_6,type,
mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_7,type,
mtrue: $i > $o ).
thf(func_def_8,type,
mfalse: $i > $o ).
thf(func_def_9,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_10,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_11,type,
mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_12,type,
mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_13,type,
mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_14,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(func_def_15,type,
exists_in_world: mu > $i > $o ).
thf(func_def_16,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_17,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(func_def_18,type,
mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).
thf(func_def_19,type,
mreflexive: ( $i > $i > $o ) > $o ).
thf(func_def_20,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(func_def_21,type,
mserial: ( $i > $i > $o ) > $o ).
thf(func_def_22,type,
mtransitive: ( $i > $i > $o ) > $o ).
thf(func_def_23,type,
meuclidean: ( $i > $i > $o ) > $o ).
thf(func_def_24,type,
mpartially_functional: ( $i > $i > $o ) > $o ).
thf(func_def_25,type,
mfunctional: ( $i > $i > $o ) > $o ).
thf(func_def_26,type,
mweakly_dense: ( $i > $i > $o ) > $o ).
thf(func_def_27,type,
mweakly_connected: ( $i > $i > $o ) > $o ).
thf(func_def_28,type,
mweakly_directed: ( $i > $i > $o ) > $o ).
thf(func_def_29,type,
mvalid: ( $i > $o ) > $o ).
thf(func_def_30,type,
msatisfiable: ( $i > $o ) > $o ).
thf(func_def_31,type,
mcountersatisfiable: ( $i > $o ) > $o ).
thf(func_def_32,type,
minvalid: ( $i > $o ) > $o ).
thf(func_def_33,type,
rel_s4: $i > $i > $o ).
thf(func_def_34,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(func_def_35,type,
mdia_s4: ( $i > $o ) > $i > $o ).
thf(func_def_36,type,
in: mu > mu > $i > $o ).
thf(func_def_37,type,
down: mu > mu > $i > $o ).
thf(func_def_38,type,
barrel: mu > mu > $i > $o ).
thf(func_def_39,type,
old: mu > $i > $o ).
thf(func_def_40,type,
dirty: mu > $i > $o ).
thf(func_def_41,type,
white: mu > $i > $o ).
thf(func_def_42,type,
car: mu > $i > $o ).
thf(func_def_43,type,
chevy: mu > $i > $o ).
thf(func_def_44,type,
lonely: mu > $i > $o ).
thf(func_def_45,type,
way: mu > $i > $o ).
thf(func_def_46,type,
street: mu > $i > $o ).
thf(func_def_47,type,
event: mu > $i > $o ).
thf(func_def_48,type,
city: mu > $i > $o ).
thf(func_def_49,type,
hollywood: mu > $i > $o ).
thf(func_def_50,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_51,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_52,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_53,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_54,type,
vIMP: $o > $o > $o ).
thf(func_def_55,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_56,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_57,type,
vAND: $o > $o > $o ).
thf(func_def_58,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_59,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_60,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_63,type,
vNOT: $o > $o ).
thf(func_def_64,type,
vOR: $o > $o > $o ).
thf(func_def_65,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_66,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_69,type,
sK2: mu ).
thf(func_def_70,type,
sK3: $i > mu ).
thf(func_def_71,type,
sK4: mu ).
thf(func_def_72,type,
sK5: mu ).
thf(func_def_73,type,
sK6: mu ).
thf(func_def_74,type,
sK7: mu ).
thf(func_def_75,type,
sK8: mu ).
thf(func_def_76,type,
sK9: mu ).
thf(func_def_77,type,
sK10: mu ).
thf(f2,axiom,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mnot) ).
thf(f3,axiom,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mor) ).
thf(f8,axiom,
( ( ^ [X0: $i > $o,X1: $i > $o] : ( mnot @ ( mor @ ( mnot @ X0 ) @ ( mnot @ X1 ) ) ) )
= mand ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mand) ).
thf(f9,axiom,
( mimplies
= ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mimplies) ).
thf(f15,axiom,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mforall_ind) ).
thf(f16,axiom,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mexists_ind) ).
thf(f28,axiom,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mvalid) ).
thf(f37,conjecture,
( mvalid
@ ( mand
@ ( mimplies
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] :
( mexists_ind
@ ^ [X2: mu] :
( mexists_ind
@ ^ [X3: mu] : ( mand @ ( hollywood @ X0 ) @ ( mand @ ( city @ X0 ) @ ( mand @ ( event @ X1 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( chevy @ X3 ) @ ( mand @ ( car @ X3 ) @ ( mand @ ( white @ X3 ) @ ( mand @ ( dirty @ X3 ) @ ( mand @ ( old @ X3 ) @ ( mand @ ( barrel @ X1 @ X3 ) @ ( mand @ ( down @ X1 @ X2 ) @ ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X4: mu] :
( mexists_ind
@ ^ [X5: mu] :
( mexists_ind
@ ^ [X6: mu] :
( mexists_ind
@ ^ [X7: mu] : ( mand @ ( hollywood @ X4 ) @ ( mand @ ( city @ X4 ) @ ( mand @ ( event @ X5 ) @ ( mand @ ( chevy @ X6 ) @ ( mand @ ( car @ X6 ) @ ( mand @ ( white @ X6 ) @ ( mand @ ( dirty @ X6 ) @ ( mand @ ( old @ X6 ) @ ( mand @ ( street @ X7 ) @ ( mand @ ( way @ X7 ) @ ( mand @ ( lonely @ X7 ) @ ( mand @ ( barrel @ X5 @ X6 ) @ ( mand @ ( down @ X5 @ X7 ) @ ( in @ X5 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_ind
@ ^ [X8: mu] :
( mexists_ind
@ ^ [X9: mu] :
( mexists_ind
@ ^ [X10: mu] :
( mexists_ind
@ ^ [X11: mu] : ( 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 ) @ ( in @ X9 @ X8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X12: mu] :
( mexists_ind
@ ^ [X13: mu] :
( mexists_ind
@ ^ [X14: mu] :
( mexists_ind
@ ^ [X15: mu] : ( mand @ ( hollywood @ X12 ) @ ( mand @ ( city @ X12 ) @ ( mand @ ( event @ X13 ) @ ( mand @ ( street @ X14 ) @ ( mand @ ( way @ X14 ) @ ( mand @ ( lonely @ X14 ) @ ( mand @ ( chevy @ X15 ) @ ( mand @ ( car @ X15 ) @ ( mand @ ( white @ X15 ) @ ( mand @ ( dirty @ X15 ) @ ( mand @ ( old @ X15 ) @ ( mand @ ( barrel @ X13 @ X15 ) @ ( mand @ ( down @ X13 @ X14 ) @ ( in @ X13 @ X12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
thf(f38,negated_conjecture,
~ ( mvalid
@ ( mand
@ ( mimplies
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] :
( mexists_ind
@ ^ [X2: mu] :
( mexists_ind
@ ^ [X3: mu] : ( mand @ ( hollywood @ X0 ) @ ( mand @ ( city @ X0 ) @ ( mand @ ( event @ X1 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( chevy @ X3 ) @ ( mand @ ( car @ X3 ) @ ( mand @ ( white @ X3 ) @ ( mand @ ( dirty @ X3 ) @ ( mand @ ( old @ X3 ) @ ( mand @ ( barrel @ X1 @ X3 ) @ ( mand @ ( down @ X1 @ X2 ) @ ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X4: mu] :
( mexists_ind
@ ^ [X5: mu] :
( mexists_ind
@ ^ [X6: mu] :
( mexists_ind
@ ^ [X7: mu] : ( mand @ ( hollywood @ X4 ) @ ( mand @ ( city @ X4 ) @ ( mand @ ( event @ X5 ) @ ( mand @ ( chevy @ X6 ) @ ( mand @ ( car @ X6 ) @ ( mand @ ( white @ X6 ) @ ( mand @ ( dirty @ X6 ) @ ( mand @ ( old @ X6 ) @ ( mand @ ( street @ X7 ) @ ( mand @ ( way @ X7 ) @ ( mand @ ( lonely @ X7 ) @ ( mand @ ( barrel @ X5 @ X6 ) @ ( mand @ ( down @ X5 @ X7 ) @ ( in @ X5 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_ind
@ ^ [X8: mu] :
( mexists_ind
@ ^ [X9: mu] :
( mexists_ind
@ ^ [X10: mu] :
( mexists_ind
@ ^ [X11: mu] : ( 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 ) @ ( in @ X9 @ X8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X12: mu] :
( mexists_ind
@ ^ [X13: mu] :
( mexists_ind
@ ^ [X14: mu] :
( mexists_ind
@ ^ [X15: mu] : ( mand @ ( hollywood @ X12 ) @ ( mand @ ( city @ X12 ) @ ( mand @ ( event @ X13 ) @ ( mand @ ( street @ X14 ) @ ( mand @ ( way @ X14 ) @ ( mand @ ( lonely @ X14 ) @ ( mand @ ( chevy @ X15 ) @ ( mand @ ( car @ X15 ) @ ( mand @ ( white @ X15 ) @ ( mand @ ( dirty @ X15 ) @ ( mand @ ( old @ X15 ) @ ( mand @ ( barrel @ X13 @ X15 ) @ ( mand @ ( down @ X13 @ X14 ) @ ( in @ X13 @ X12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f37]) ).
thf(f39,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f8]) ).
thf(f41,plain,
( ( ^ [X0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X1: mu] : ( mnot @ ( X0 @ X1 ) ) ) ) )
= mexists_ind ),
inference(rectify,[],[f16]) ).
thf(f42,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(fool_elimination,[],[f41]) ).
thf(f53,plain,
( mnot
= ( ^ [X0: $i > $o,X1: $i] :
~ ( X0 @ X1 ) ) ),
inference(rectify,[],[f2]) ).
thf(f54,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(fool_elimination,[],[f53]) ).
thf(f55,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(fool_elimination,[],[f9]) ).
thf(f57,plain,
~ ( mvalid
@ ( mand
@ ( mimplies
@ ( mexists_ind
@ ^ [X0: mu] :
( mexists_ind
@ ^ [X1: mu] :
( mexists_ind
@ ^ [X2: mu] :
( mexists_ind
@ ^ [X3: mu] : ( mand @ ( hollywood @ X0 ) @ ( mand @ ( city @ X0 ) @ ( mand @ ( event @ X1 ) @ ( mand @ ( street @ X2 ) @ ( mand @ ( way @ X2 ) @ ( mand @ ( lonely @ X2 ) @ ( mand @ ( chevy @ X3 ) @ ( mand @ ( car @ X3 ) @ ( mand @ ( white @ X3 ) @ ( mand @ ( dirty @ X3 ) @ ( mand @ ( old @ X3 ) @ ( mand @ ( barrel @ X1 @ X3 ) @ ( mand @ ( down @ X1 @ X2 ) @ ( in @ X1 @ X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X4: mu] :
( mexists_ind
@ ^ [X5: mu] :
( mexists_ind
@ ^ [X6: mu] :
( mexists_ind
@ ^ [X7: mu] : ( mand @ ( hollywood @ X4 ) @ ( mand @ ( city @ X4 ) @ ( mand @ ( event @ X5 ) @ ( mand @ ( chevy @ X6 ) @ ( mand @ ( car @ X6 ) @ ( mand @ ( white @ X6 ) @ ( mand @ ( dirty @ X6 ) @ ( mand @ ( old @ X6 ) @ ( mand @ ( street @ X7 ) @ ( mand @ ( way @ X7 ) @ ( mand @ ( lonely @ X7 ) @ ( mand @ ( barrel @ X5 @ X6 ) @ ( mand @ ( down @ X5 @ X7 ) @ ( in @ X5 @ X4 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_ind
@ ^ [X8: mu] :
( mexists_ind
@ ^ [X9: mu] :
( mexists_ind
@ ^ [X10: mu] :
( mexists_ind
@ ^ [X11: mu] : ( 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 ) @ ( in @ X9 @ X8 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [X12: mu] :
( mexists_ind
@ ^ [X13: mu] :
( mexists_ind
@ ^ [X14: mu] :
( mexists_ind
@ ^ [X15: mu] : ( mand @ ( hollywood @ X12 ) @ ( mand @ ( city @ X12 ) @ ( mand @ ( event @ X13 ) @ ( mand @ ( street @ X14 ) @ ( mand @ ( way @ X14 ) @ ( mand @ ( lonely @ X14 ) @ ( mand @ ( chevy @ X15 ) @ ( mand @ ( car @ X15 ) @ ( mand @ ( white @ X15 ) @ ( mand @ ( dirty @ X15 ) @ ( mand @ ( old @ X15 ) @ ( mand @ ( barrel @ X13 @ X15 ) @ ( mand @ ( down @ X13 @ X14 ) @ ( in @ X13 @ X12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f38]) ).
thf(f58,plain,
( $true
= ( ~ ( mvalid
@ ( mand
@ ( mimplies
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] :
( mexists_ind
@ ^ [Y2: mu] :
( mexists_ind
@ ^ [Y3: mu] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] :
( mexists_ind
@ ^ [Y2: mu] :
( mexists_ind
@ ^ [Y3: mu] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] :
( mexists_ind
@ ^ [Y2: mu] :
( mexists_ind
@ ^ [Y3: mu] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] :
( mexists_ind
@ ^ [Y2: mu] :
( mexists_ind
@ ^ [Y3: mu] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f57]) ).
thf(f65,plain,
( mforall_ind
= ( ^ [X0: mu > $i > $o,X1: $i] :
! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ( X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f15]) ).
thf(f66,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(fool_elimination,[],[f65]) ).
thf(f86,plain,
( ( ^ [X0: $i > $o] :
! [X1: $i] : ( X0 @ X1 ) )
= mvalid ),
inference(rectify,[],[f28]) ).
thf(f87,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(fool_elimination,[],[f86]) ).
thf(f101,plain,
( mor
= ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
| ( X0 @ X2 ) ) ) ),
inference(rectify,[],[f3]) ).
thf(f102,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(fool_elimination,[],[f101]) ).
thf(f103,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
inference(cnf_transformation,[],[f55]) ).
thf(f105,plain,
( mvalid
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f87]) ).
thf(f109,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y0 @ Y2 )
| ( Y1 @ Y2 ) ) ) ),
inference(cnf_transformation,[],[f102]) ).
thf(f114,plain,
( mforall_ind
= ( ^ [Y0: mu > $i > $o,Y1: $i] :
( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y1 )
=> ( Y0 @ Y2 @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f66]) ).
thf(f131,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mnot @ ( mor @ ( mnot @ Y0 ) @ ( mnot @ Y1 ) ) ) ) ),
inference(cnf_transformation,[],[f39]) ).
thf(f132,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [Y1: mu] : ( mnot @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(cnf_transformation,[],[f42]) ).
thf(f134,plain,
( $true
= ( ~ ( mvalid
@ ( mand
@ ( mimplies
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] :
( mexists_ind
@ ^ [Y2: mu] :
( mexists_ind
@ ^ [Y3: mu] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] :
( mexists_ind
@ ^ [Y2: mu] :
( mexists_ind
@ ^ [Y3: mu] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mimplies
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] :
( mexists_ind
@ ^ [Y2: mu] :
( mexists_ind
@ ^ [Y3: mu] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( chevy @ Y2 ) @ ( mand @ ( car @ Y2 ) @ ( mand @ ( white @ Y2 ) @ ( mand @ ( dirty @ Y2 ) @ ( mand @ ( old @ Y2 ) @ ( mand @ ( street @ Y3 ) @ ( mand @ ( way @ Y3 ) @ ( mand @ ( lonely @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y2 ) @ ( mand @ ( down @ Y1 @ Y3 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( mexists_ind
@ ^ [Y0: mu] :
( mexists_ind
@ ^ [Y1: mu] :
( mexists_ind
@ ^ [Y2: mu] :
( mexists_ind
@ ^ [Y3: mu] : ( mand @ ( hollywood @ Y0 ) @ ( mand @ ( city @ Y0 ) @ ( mand @ ( event @ Y1 ) @ ( mand @ ( street @ Y2 ) @ ( mand @ ( way @ Y2 ) @ ( mand @ ( lonely @ Y2 ) @ ( mand @ ( chevy @ Y3 ) @ ( mand @ ( car @ Y3 ) @ ( mand @ ( white @ Y3 ) @ ( mand @ ( dirty @ Y3 ) @ ( mand @ ( old @ Y3 ) @ ( mand @ ( barrel @ Y1 @ Y3 ) @ ( mand @ ( down @ Y1 @ Y2 ) @ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f58]) ).
thf(f138,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] :
~ ( Y0 @ Y1 ) ) ),
inference(cnf_transformation,[],[f54]) ).
thf(f143,plain,
( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) ) ) ),
inference(definition_unfolding,[],[f131,f138,f109,f138,f138]) ).
thf(f144,plain,
( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 ) ) ),
inference(definition_unfolding,[],[f103,f109,f138]) ).
thf(f149,plain,
( mexists_ind
= ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) ) ) ),
inference(definition_unfolding,[],[f132,f138,f114,f138]) ).
thf(f154,plain,
( $true
= ( ~ ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y1 ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: mu > $i > $o] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: mu > $i > $o,Y4: $i] :
( !! @ mu
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) )
@ ^ [Y3: mu] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( Y2 @ Y3 ) ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: mu > $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: mu > $i > $o,Y5: $i] :
( !! @ mu
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) )
@ ^ [Y4: mu] :
( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ ( Y3 @ Y4 ) ) ) )
@ ^ [Y3: mu] :
( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( hollywood @ Y0 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( city @ Y0 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( event @ Y1 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( street @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( way @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( lonely @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( chevy @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( car @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( white @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( dirty @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( old @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( barrel @ Y1 @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( down @ Y1 @ Y2 )
@ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: mu > $i > $o] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: mu > $i > $o,Y4: $i] :
( !! @ mu
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) )
@ ^ [Y3: mu] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( Y2 @ Y3 ) ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: mu > $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: mu > $i > $o,Y5: $i] :
( !! @ mu
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) )
@ ^ [Y4: mu] :
( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ ( Y3 @ Y4 ) ) ) )
@ ^ [Y3: mu] :
( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( hollywood @ Y0 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( city @ Y0 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( event @ Y1 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( chevy @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( car @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( white @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( dirty @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( old @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( street @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( way @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( lonely @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( barrel @ Y1 @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( down @ Y1 @ Y3 )
@ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: $i > $o,Y1: $i > $o] :
( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
( ( Y2 @ Y4 )
| ( Y3 @ Y4 ) )
@ ( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ Y0 )
@ Y1 )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: mu > $i > $o] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: mu > $i > $o,Y4: $i] :
( !! @ mu
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) )
@ ^ [Y3: mu] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( Y2 @ Y3 ) ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: mu > $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: mu > $i > $o,Y5: $i] :
( !! @ mu
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) )
@ ^ [Y4: mu] :
( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ ( Y3 @ Y4 ) ) ) )
@ ^ [Y3: mu] :
( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( hollywood @ Y0 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( city @ Y0 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( event @ Y1 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( chevy @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( car @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( white @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( dirty @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( old @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( street @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( way @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( lonely @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( barrel @ Y1 @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( down @ Y1 @ Y3 )
@ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
@ ( ^ [Y0: mu > $i > $o] :
( ^ [Y1: $i > $o,Y2: $i] :
~ ( Y1 @ Y2 )
@ ( ^ [Y1: mu > $i > $o,Y2: $i] :
( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y2 )
=> ( Y1 @ Y3 @ Y2 ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( Y0 @ Y1 ) ) ) )
@ ^ [Y0: mu] :
( ^ [Y1: mu > $i > $o] :
( ^ [Y2: $i > $o,Y3: $i] :
~ ( Y2 @ Y3 )
@ ( ^ [Y2: mu > $i > $o,Y3: $i] :
( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y3 )
=> ( Y2 @ Y4 @ Y3 ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( Y1 @ Y2 ) ) ) )
@ ^ [Y1: mu] :
( ^ [Y2: mu > $i > $o] :
( ^ [Y3: $i > $o,Y4: $i] :
~ ( Y3 @ Y4 )
@ ( ^ [Y3: mu > $i > $o,Y4: $i] :
( !! @ mu
@ ^ [Y5: mu] :
( ( exists_in_world @ Y5 @ Y4 )
=> ( Y3 @ Y5 @ Y4 ) ) )
@ ^ [Y3: mu] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( Y2 @ Y3 ) ) ) )
@ ^ [Y2: mu] :
( ^ [Y3: mu > $i > $o] :
( ^ [Y4: $i > $o,Y5: $i] :
~ ( Y4 @ Y5 )
@ ( ^ [Y4: mu > $i > $o,Y5: $i] :
( !! @ mu
@ ^ [Y6: mu] :
( ( exists_in_world @ Y6 @ Y5 )
=> ( Y4 @ Y6 @ Y5 ) ) )
@ ^ [Y4: mu] :
( ^ [Y5: $i > $o,Y6: $i] :
~ ( Y5 @ Y6 )
@ ( Y3 @ Y4 ) ) ) )
@ ^ [Y3: mu] :
( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( hollywood @ Y0 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( city @ Y0 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( event @ Y1 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( street @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( way @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( lonely @ Y2 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( chevy @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( car @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( white @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( dirty @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( old @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( barrel @ Y1 @ Y3 )
@ ( ^ [Y4: $i > $o,Y5: $i > $o] :
( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ ( ^ [Y6: $i > $o,Y7: $i > $o,Y8: $i] :
( ( Y6 @ Y8 )
| ( Y7 @ Y8 ) )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y4 )
@ ( ^ [Y6: $i > $o,Y7: $i] :
~ ( Y6 @ Y7 )
@ Y5 ) ) )
@ ( down @ Y1 @ Y2 )
@ ( in @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f134,f105,f143,f144,f149,f149,f149,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f149,f149,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f144,f149,f149,f149,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f149,f149,f149,f149,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143,f143]) ).
thf(f156,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f154]) ).
thf(f157,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f156]) ).
thf(f158,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f157]) ).
thf(f159,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f158]) ).
thf(f160,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f159]) ).
thf(f161,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f160]) ).
thf(f162,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f161]) ).
thf(f163,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ~ ( ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f162]) ).
thf(f164,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f163]) ).
thf(f165,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f164]) ).
thf(f166,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ~ ( ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f165]) ).
thf(f167,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ~ ( ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f166]) ).
thf(f168,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f167]) ).
thf(f169,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ~ ( ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f168]) ).
thf(f170,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f169]) ).
thf(f171,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f170]) ).
thf(f172,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f171]) ).
thf(f173,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f172]) ).
thf(f174,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f173]) ).
thf(f175,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ~ ~ ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f174]) ).
thf(f176,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ~ ~ ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f175]) ).
thf(f177,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ~ ( ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f176]) ).
thf(f178,plain,
( ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ~ ( ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(boolean_simplification,[],[f177]) ).
thf(f179,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ~ ( ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f178]) ).
thf(f180,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ~ ( ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f179]) ).
thf(f181,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ~ ( ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f180]) ).
thf(f182,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ~ ( ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f181]) ).
thf(f183,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ~ ( ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f182]) ).
thf(f184,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ~ ( ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f183]) ).
thf(f185,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ~ ( ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f184]) ).
thf(f186,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ~ ( ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f185]) ).
thf(f187,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ~ ( ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f186]) ).
thf(f188,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ~ ( ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f187]) ).
thf(f189,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ~ ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f188]) ).
thf(f190,plain,
( $true
= ( ~ ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(boolean_simplification,[],[f189]) ).
thf(f192,plain,
( $false
= ( !! @ $i
@ ^ [Y0: $i] :
~ ( ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f190]) ).
thf(f193,plain,
( $false
= ( ^ [Y0: $i] :
~ ( ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( chevy @ Y3 @ Y0 )
| ~ ( car @ Y3 @ Y0 )
| ~ ( white @ Y3 @ Y0 )
| ~ ( dirty @ Y3 @ Y0 )
| ~ ( old @ Y3 @ Y0 )
| ~ ( street @ Y4 @ Y0 )
| ~ ( way @ Y4 @ Y0 )
| ~ ( lonely @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y3 @ Y0 )
| ~ ( down @ Y2 @ Y4 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ Y0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ Y0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ Y0 )
=> ( !! @ mu
@ ^ [Y4: mu] :
( ( exists_in_world @ Y4 @ Y0 )
=> ( ~ ( hollywood @ Y1 @ Y0 )
| ~ ( city @ Y1 @ Y0 )
| ~ ( event @ Y2 @ Y0 )
| ~ ( street @ Y3 @ Y0 )
| ~ ( way @ Y3 @ Y0 )
| ~ ( lonely @ Y3 @ Y0 )
| ~ ( chevy @ Y4 @ Y0 )
| ~ ( car @ Y4 @ Y0 )
| ~ ( white @ Y4 @ Y0 )
| ~ ( dirty @ Y4 @ Y0 )
| ~ ( old @ Y4 @ Y0 )
| ~ ( barrel @ Y2 @ Y4 @ Y0 )
| ~ ( down @ Y2 @ Y3 @ Y0 )
| ~ ( in @ Y2 @ Y1 @ Y0 ) ) ) ) ) ) ) ) ) ) ) )
@ sK0 ) ),
inference(sigma_proxy_clausification,[],[f192]) ).
thf(f194,plain,
( $false
= ( ~ ( ~ ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f193]) ).
thf(f195,plain,
( $true
= ( ~ ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f194]) ).
thf(f196,plain,
( ( $true
= ( ~ ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( $true
= ( ~ ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f195]) ).
thf(f197,plain,
( ( $true
= ( ~ ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f196]) ).
thf(f198,plain,
( ( $false
= ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f197]) ).
thf(f199,plain,
( ( $false
= ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) )
| ( ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
= $false ) ),
inference(or_proxy_clausification,[],[f198]) ).
thf(f200,plain,
( ( $false
= ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f198]) ).
thf(f201,plain,
( ( ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f199]) ).
thf(f202,plain,
( ( ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
= $false )
| ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f199]) ).
thf(f204,plain,
( ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(or_proxy_clausification,[],[f200]) ).
thf(f205,plain,
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( ~ ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f201]) ).
thf(f206,plain,
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f202]) ).
thf(f209,definition,
( spl1_1
<=> ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
thf(f211,plain,
( ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f209]) ).
thf(f213,definition,
( spl1_2
<=> ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
thf(f214,plain,
( ( $false
!= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| spl1_2 ),
inference(avatar_component_clause,[],[f213]) ).
thf(f215,plain,
( ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f213]) ).
thf(f216,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f204,f213,f209]) ).
thf(f217,plain,
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f205]) ).
thf(f219,definition,
( spl1_3
<=> ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
thf(f221,plain,
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f219]) ).
thf(f222,plain,
( spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f206,f219,f209]) ).
thf(f224,definition,
( spl1_4
<=> ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
thf(f226,plain,
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) ) ) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f224]) ).
thf(f228,plain,
( spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f217,f224,f219]) ).
thf(f229,plain,
( ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) )
@ sK2 ) )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f215]) ).
thf(f230,plain,
( ( $false
= ( ( exists_in_world @ sK2 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y2 @ sK0 )
| ~ ( down @ Y0 @ Y1 @ sK0 )
| ~ ( in @ Y0 @ sK2 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f229]) ).
thf(f231,plain,
( ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y2 @ sK0 )
| ~ ( down @ Y0 @ Y1 @ sK0 )
| ~ ( in @ Y0 @ sK2 @ sK0 ) ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f230]) ).
thf(f232,plain,
( ( $true
= ( exists_in_world @ sK2 @ sK0 ) )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f230]) ).
thf(f233,plain,
( ! [X1: mu] :
( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) )
@ X1 ) )
| ~ spl1_3 ),
inference(pi_proxy_clausification,[],[f221]) ).
thf(f234,plain,
( ! [X1: mu] :
( $true
= ( ( exists_in_world @ X1 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y1 @ sK0 )
| ~ ( down @ Y0 @ Y2 @ sK0 )
| ~ ( in @ Y0 @ X1 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f233]) ).
thf(f235,plain,
( ! [X1: mu] :
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y1 @ sK0 )
| ~ ( down @ Y0 @ Y2 @ sK0 )
| ~ ( in @ Y0 @ X1 @ sK0 ) ) ) ) ) ) ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| ~ spl1_3 ),
inference(imp_proxy_clausification,[],[f234]) ).
thf(f247,plain,
( ! [X2: mu,X1: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y1 @ sK0 )
| ~ ( down @ Y0 @ Y2 @ sK0 )
| ~ ( in @ Y0 @ X1 @ sK0 ) ) ) ) ) ) )
@ X2 ) ) )
| ~ spl1_3 ),
inference(pi_proxy_clausification,[],[f235]) ).
thf(f248,plain,
( ! [X2: mu,X1: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ( exists_in_world @ X2 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( barrel @ X2 @ Y0 @ sK0 )
| ~ ( down @ X2 @ Y1 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) ) ) ) ) )
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f247]) ).
thf(f249,plain,
( ! [X2: mu,X1: mu] :
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( barrel @ X2 @ Y0 @ sK0 )
| ~ ( down @ X2 @ Y1 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| ~ spl1_3 ),
inference(imp_proxy_clausification,[],[f248]) ).
thf(f252,plain,
( ! [X2: mu,X3: mu,X1: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( barrel @ X2 @ Y0 @ sK0 )
| ~ ( down @ X2 @ Y1 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) )
@ X3 ) ) )
| ~ spl1_3 ),
inference(pi_proxy_clausification,[],[f249]) ).
thf(f253,plain,
( ! [X2: mu,X3: mu,X1: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ( exists_in_world @ X3 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ Y0 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) ) ) )
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f252]) ).
thf(f254,plain,
( ! [X2: mu,X3: mu,X1: mu] :
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ Y0 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(imp_proxy_clausification,[],[f253]) ).
thf(f255,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ Y0 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
@ X4 )
= $true )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| ~ spl1_3 ),
inference(pi_proxy_clausification,[],[f254]) ).
thf(f256,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ( exists_in_world @ X4 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) )
| ~ spl1_3 ),
inference(beta-eta_normalization,[],[f255]) ).
thf(f257,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| ~ spl1_3 ),
inference(imp_proxy_clausification,[],[f256]) ).
thf(f258,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( hollywood @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f257]) ).
thf(f259,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f258]) ).
thf(f260,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( city @ X1 @ sK0 ) ) )
| ( $true
= ( ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f259]) ).
thf(f261,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( event @ X2 @ sK0 )
| ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f260]) ).
thf(f262,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 )
| ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( ( ~ ( event @ X2 @ sK0 ) )
= $true )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f261]) ).
thf(f263,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $true
= ( ~ ( car @ X3 @ sK0 )
| ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( ~ ( event @ X2 @ sK0 ) )
= $true )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f262]) ).
thf(f264,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( white @ X3 @ sK0 )
| ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( ( ~ ( event @ X2 @ sK0 ) )
= $true )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( car @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f263]) ).
thf(f265,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( ( ~ ( event @ X2 @ sK0 ) )
= $true )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( white @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( ( ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) )
= $true )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( car @ X3 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f264]) ).
thf(f266,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( ( ~ ( dirty @ X3 @ sK0 )
| ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) )
= $true )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( car @ X3 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $true
= ( ~ ( white @ X3 @ sK0 ) ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f265]) ).
thf(f267,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( white @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( car @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( dirty @ X3 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f266]) ).
thf(f268,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( old @ X3 @ sK0 )
| ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( car @ X3 @ sK0 ) ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( dirty @ X3 @ sK0 ) ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f267]) ).
thf(f269,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( car @ X3 @ sK0 ) ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( old @ X3 @ sK0 ) ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( dirty @ X3 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( ( ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) )
= $true ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f268]) ).
thf(f270,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( ~ ( street @ X4 @ sK0 )
| ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) )
= $true )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( dirty @ X3 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $true
= ( ~ ( old @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f269]) ).
thf(f271,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( white @ X3 @ sK0 ) )
| ( $true
= ( ~ ( dirty @ X3 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $true
= ( ~ ( street @ X4 @ sK0 ) ) )
| ( $true
= ( ~ ( old @ X3 @ sK0 ) ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f270]) ).
thf(f272,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( old @ X3 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $true
= ( ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $true
= ( ~ ( street @ X4 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f271]) ).
thf(f273,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( chevy @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( street @ X4 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $true
= ( ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f272]) ).
thf(f274,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( street @ X4 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $true
= ( ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f273]) ).
thf(f275,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $true
= ( ~ ( way @ X4 @ sK0 )
| ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f274]) ).
thf(f276,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( way @ X4 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( dirty @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f275]) ).
thf(f277,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( way @ X4 @ sK0 ) ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $true
= ( ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X4 @ sK0 ) ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f276]) ).
thf(f278,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( dirty @ X3 @ sK0 ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( way @ X4 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $true
= ( ~ ( barrel @ X2 @ X3 @ sK0 )
| ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( lonely @ X4 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f277]) ).
thf(f279,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( dirty @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( barrel @ X2 @ X3 @ sK0 ) ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X4 @ sK0 ) ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $true
= ( ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( way @ X4 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f278]) ).
thf(f280,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X4 @ sK0 ) ) )
| ( $false
= ( barrel @ X2 @ X3 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $true
= ( ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( way @ X4 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f279]) ).
thf(f281,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( white @ X3 @ sK0 ) )
| ( $true
= ( ~ ( down @ X2 @ X4 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( barrel @ X2 @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( lonely @ X4 @ sK0 )
= $false )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( way @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f280]) ).
thf(f282,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( barrel @ X2 @ X3 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( $true
= ( ~ ( down @ X2 @ X4 @ sK0 ) ) )
| ( ( lonely @ X4 @ sK0 )
= $false )
| ( $true
= ( ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $false
= ( way @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) ) )
| ~ spl1_3 ),
inference(or_proxy_clausification,[],[f281]) ).
thf(f283,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( ( lonely @ X4 @ sK0 )
= $false )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( $true
= ( ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( barrel @ X2 @ X3 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( way @ X4 @ sK0 ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( down @ X2 @ X4 @ sK0 ) )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f282]) ).
thf(f284,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( barrel @ X2 @ X3 @ sK0 ) )
| ( $false
= ( in @ X2 @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( down @ X2 @ X4 @ sK0 ) )
| ( $false
= ( chevy @ X3 @ sK0 ) )
| ( $false
= ( dirty @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( ( old @ X3 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( car @ X3 @ sK0 ) )
| ( $false
= ( street @ X4 @ sK0 ) )
| ( $false
= ( white @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( ( lonely @ X4 @ sK0 )
= $false )
| ( $false
= ( way @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) ) )
| ~ spl1_3 ),
inference(not_proxy_clausification,[],[f283]) ).
thf(f291,plain,
( ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y2 @ sK0 )
| ~ ( down @ Y0 @ Y1 @ sK0 )
| ~ ( in @ Y0 @ sK2 @ sK0 ) ) ) ) ) ) )
@ sK4 ) )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f231]) ).
thf(f294,plain,
( ( $false
= ( ( exists_in_world @ sK4 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( barrel @ sK4 @ Y1 @ sK0 )
| ~ ( down @ sK4 @ Y0 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f291]) ).
thf(f295,plain,
( ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( barrel @ sK4 @ Y1 @ sK0 )
| ~ ( down @ sK4 @ Y0 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) ) ) ) ) )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f294]) ).
thf(f296,plain,
( ( $true
= ( exists_in_world @ sK4 @ sK0 ) )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f294]) ).
thf(f297,plain,
( ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( barrel @ sK4 @ Y1 @ sK0 )
| ~ ( down @ sK4 @ Y0 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) ) ) )
@ sK5 ) )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f295]) ).
thf(f299,plain,
( ( $false
= ( ( exists_in_world @ sK5 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ sK5 @ sK0 )
| ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( barrel @ sK4 @ Y0 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f297]) ).
thf(f301,plain,
( ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ sK5 @ sK0 )
| ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( barrel @ sK4 @ Y0 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) ) )
= $false )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f299]) ).
thf(f302,plain,
( ( $true
= ( exists_in_world @ sK5 @ sK0 ) )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f299]) ).
thf(f305,plain,
( ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ sK5 @ sK0 )
| ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( barrel @ sK4 @ Y0 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
@ sK6 ) )
| ~ spl1_2 ),
inference(sigma_proxy_clausification,[],[f301]) ).
thf(f307,plain,
( ( $false
= ( ( exists_in_world @ sK6 @ sK0 )
=> ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ sK5 @ sK0 )
| ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ sK6 @ sK0 )
| ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) ) )
| ~ spl1_2 ),
inference(beta-eta_normalization,[],[f305]) ).
thf(f309,plain,
( ( $false
= ( ~ ( hollywood @ sK2 @ sK0 )
| ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ sK5 @ sK0 )
| ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ sK6 @ sK0 )
| ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f307]) ).
thf(f310,plain,
( ( ( exists_in_world @ sK6 @ sK0 )
= $true )
| ~ spl1_2 ),
inference(imp_proxy_clausification,[],[f307]) ).
thf(f311,plain,
( ( $false
= ( ~ ( city @ sK2 @ sK0 )
| ~ ( event @ sK4 @ sK0 )
| ~ ( street @ sK5 @ sK0 )
| ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ sK6 @ sK0 )
| ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f309]) ).
thf(f312,plain,
( ( $false
= ( ~ ( hollywood @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f309]) ).
thf(f313,plain,
( ( $true
= ( hollywood @ sK2 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f312]) ).
thf(f314,plain,
( ( $false
= ( ~ ( event @ sK4 @ sK0 )
| ~ ( street @ sK5 @ sK0 )
| ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ sK6 @ sK0 )
| ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f311]) ).
thf(f315,plain,
( ( $false
= ( ~ ( city @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f311]) ).
thf(f316,plain,
( ( $false
= ( ~ ( street @ sK5 @ sK0 )
| ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ sK6 @ sK0 )
| ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f314]) ).
thf(f317,plain,
( ( $false
= ( ~ ( event @ sK4 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f314]) ).
thf(f318,plain,
( ( $true
= ( city @ sK2 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f315]) ).
thf(f319,plain,
( ( $true
= ( event @ sK4 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f317]) ).
thf(f320,plain,
( ( ( ~ ( way @ sK5 @ sK0 )
| ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ sK6 @ sK0 )
| ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) )
= $false )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f316]) ).
thf(f321,plain,
( ( ( ~ ( street @ sK5 @ sK0 ) )
= $false )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f316]) ).
thf(f322,plain,
( ( $true
= ( street @ sK5 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f321]) ).
thf(f323,plain,
( ( $false
= ( ~ ( lonely @ sK5 @ sK0 )
| ~ ( chevy @ sK6 @ sK0 )
| ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f320]) ).
thf(f324,plain,
( ( $false
= ( ~ ( way @ sK5 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f320]) ).
thf(f325,plain,
( ( $false
= ( ~ ( chevy @ sK6 @ sK0 )
| ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f323]) ).
thf(f326,plain,
( ( $false
= ( ~ ( lonely @ sK5 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f323]) ).
thf(f327,plain,
( ( $true
= ( way @ sK5 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f324]) ).
thf(f328,plain,
( ( $false
= ( ~ ( car @ sK6 @ sK0 )
| ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f325]) ).
thf(f329,plain,
( ( $false
= ( ~ ( chevy @ sK6 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f325]) ).
thf(f330,plain,
( ( $true
= ( lonely @ sK5 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f326]) ).
thf(f331,plain,
( ( ( ~ ( white @ sK6 @ sK0 )
| ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) )
= $false )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f328]) ).
thf(f332,plain,
( ( ( ~ ( car @ sK6 @ sK0 ) )
= $false )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f328]) ).
thf(f333,plain,
( ( $true
= ( chevy @ sK6 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f329]) ).
thf(f334,plain,
( ( $true
= ( car @ sK6 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f332]) ).
thf(f335,plain,
( ( ( ~ ( dirty @ sK6 @ sK0 )
| ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) )
= $false )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f331]) ).
thf(f336,plain,
( ( $false
= ( ~ ( white @ sK6 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f331]) ).
thf(f337,plain,
( ( ( white @ sK6 @ sK0 )
= $true )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f336]) ).
thf(f338,plain,
( ( $false
= ( ~ ( old @ sK6 @ sK0 )
| ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f335]) ).
thf(f339,plain,
( ( $false
= ( ~ ( dirty @ sK6 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f335]) ).
thf(f340,plain,
( ( $false
= ( ~ ( barrel @ sK4 @ sK6 @ sK0 )
| ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f338]) ).
thf(f341,plain,
( ( $false
= ( ~ ( old @ sK6 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f338]) ).
thf(f342,plain,
( ( $true
= ( dirty @ sK6 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f339]) ).
thf(f343,plain,
( ( $true
= ( old @ sK6 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f341]) ).
thf(f344,plain,
( ( ( ~ ( down @ sK4 @ sK5 @ sK0 )
| ~ ( in @ sK4 @ sK2 @ sK0 ) )
= $false )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f340]) ).
thf(f345,plain,
( ( ( ~ ( barrel @ sK4 @ sK6 @ sK0 ) )
= $false )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f340]) ).
thf(f346,plain,
( ( $false
= ( ~ ( in @ sK4 @ sK2 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f344]) ).
thf(f347,plain,
( ( $false
= ( ~ ( down @ sK4 @ sK5 @ sK0 ) ) )
| ~ spl1_2 ),
inference(or_proxy_clausification,[],[f344]) ).
thf(f348,plain,
( ( $true
= ( barrel @ sK4 @ sK6 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f345]) ).
thf(f349,plain,
( ( $true
= ( down @ sK4 @ sK5 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f347]) ).
thf(f350,plain,
( ( $true
= ( in @ sK4 @ sK2 @ sK0 ) )
| ~ spl1_2 ),
inference(not_proxy_clausification,[],[f346]) ).
thf(f366,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( event @ sK4 @ sK0 ) )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( car @ sK6 @ sK0 ) )
| ( $false
= ( chevy @ sK6 @ sK0 ) )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(superposition,[],[f348,f284]) ).
thf(f369,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK4 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( chevy @ sK6 @ sK0 ) )
| ( $false
= ( event @ sK4 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( $false
= ( car @ sK6 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f366]) ).
thf(f372,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( city @ X0 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( event @ sK4 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( car @ sK6 @ sK0 ) )
| ( $false
= ( chevy @ sK6 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(forward_demodulation,[],[f369,f296]) ).
thf(f373,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( chevy @ sK6 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( event @ sK4 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( car @ sK6 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f372]) ).
thf(f376,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( car @ sK6 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( event @ sK4 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(forward_demodulation,[],[f373,f333]) ).
thf(f377,plain,
( ! [X0: mu,X1: mu] :
( ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( car @ sK6 @ sK0 ) )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( event @ sK4 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f376]) ).
thf(f380,plain,
( ! [X0: mu,X1: mu] :
( ( ( way @ X1 @ sK0 )
= $false )
| ( $true = $false )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( event @ sK4 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(forward_demodulation,[],[f377,f334]) ).
thf(f381,plain,
( ! [X0: mu,X1: mu] :
( ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( event @ sK4 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f380]) ).
thf(f384,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $true = $false )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(forward_demodulation,[],[f381,f319]) ).
thf(f385,plain,
( ! [X0: mu,X1: mu] :
( ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( ( exists_in_world @ sK6 @ sK0 )
= $false )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f384]) ).
thf(f388,plain,
( ! [X0: mu,X1: mu] :
( ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $true = $false )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(forward_demodulation,[],[f385,f310]) ).
thf(f389,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( lonely @ X1 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( ( white @ sK6 @ sK0 )
= $false )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f388]) ).
thf(f392,plain,
( ! [X0: mu,X1: mu] :
( ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $true = $false )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(forward_demodulation,[],[f389,f337]) ).
thf(f393,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( dirty @ sK6 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f392]) ).
thf(f396,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(forward_demodulation,[],[f393,f342]) ).
thf(f397,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( old @ sK6 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f396]) ).
thf(f400,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( city @ X0 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(forward_demodulation,[],[f397,f343]) ).
thf(f401,plain,
( ! [X0: mu,X1: mu] :
( ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( street @ X1 @ sK0 ) ) )
| ~ spl1_2
| ~ spl1_3 ),
inference(trivial_inequality_removal,[],[f400]) ).
thf(f403,definition,
( spl1_5
<=> ! [X1: mu] :
( ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( $false
= ( lonely @ X1 @ sK0 ) )
| ( $false
= ( down @ sK4 @ X1 @ sK0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
thf(f404,plain,
( ! [X1: mu] :
( ( $false
= ( down @ sK4 @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( street @ X1 @ sK0 ) )
| ( ( way @ X1 @ sK0 )
= $false )
| ( $false
= ( lonely @ X1 @ sK0 ) ) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f403]) ).
thf(f406,definition,
( spl1_6
<=> ! [X0: mu] :
( ( $false
= ( city @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( in @ sK4 @ X0 @ sK0 )
= $false ) ) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
thf(f407,plain,
( ! [X0: mu] :
( ( ( in @ sK4 @ X0 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( city @ X0 @ sK0 ) ) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f406]) ).
thf(f409,plain,
( spl1_6
| spl1_5
| ~ spl1_2
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f401,f219,f213,f403,f406]) ).
thf(f414,plain,
( ( $false
= ( way @ sK5 @ sK0 ) )
| ( $false
= ( lonely @ sK5 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( street @ sK5 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK5 @ sK0 ) )
| ~ spl1_2
| ~ spl1_5 ),
inference(superposition,[],[f349,f404]) ).
thf(f416,plain,
( ( $false
= ( lonely @ sK5 @ sK0 ) )
| ( $false
= ( street @ sK5 @ sK0 ) )
| ( $false
= ( way @ sK5 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK5 @ sK0 ) )
| ~ spl1_2
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f414]) ).
thf(f418,plain,
( ( $false
= ( exists_in_world @ sK5 @ sK0 ) )
| ( $false
= ( way @ sK5 @ sK0 ) )
| ( $false
= ( street @ sK5 @ sK0 ) )
| ( $true = $false )
| ~ spl1_2
| ~ spl1_5 ),
inference(forward_demodulation,[],[f416,f330]) ).
thf(f419,plain,
( ( $false
= ( way @ sK5 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK5 @ sK0 ) )
| ( $false
= ( street @ sK5 @ sK0 ) )
| ~ spl1_2
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f418]) ).
thf(f422,plain,
( ( $false
= ( exists_in_world @ sK5 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( street @ sK5 @ sK0 ) )
| ~ spl1_2
| ~ spl1_5 ),
inference(forward_demodulation,[],[f419,f327]) ).
thf(f423,plain,
( ( $false
= ( street @ sK5 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK5 @ sK0 ) )
| ~ spl1_2
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f422]) ).
thf(f426,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK5 @ sK0 ) )
| ~ spl1_2
| ~ spl1_5 ),
inference(forward_demodulation,[],[f423,f322]) ).
thf(f427,plain,
( ( $false
= ( exists_in_world @ sK5 @ sK0 ) )
| ~ spl1_2
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f426]) ).
thf(f433,plain,
( ( $true = $false )
| ~ spl1_2
| ~ spl1_5 ),
inference(superposition,[],[f302,f427]) ).
thf(f440,plain,
( $false
| ~ spl1_2
| ~ spl1_5 ),
inference(trivial_inequality_removal,[],[f433]) ).
thf(f441,plain,
( ~ spl1_2
| ~ spl1_5 ),
inference(avatar_contradiction_clause,[],[f440]) ).
thf(f442,plain,
( ( ( city @ sK2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ sK2 @ sK0 ) )
| ( $false
= ( hollywood @ sK2 @ sK0 ) )
| ( $true = $false )
| ~ spl1_2
| ~ spl1_6 ),
inference(superposition,[],[f407,f350]) ).
thf(f446,plain,
( ( ( city @ sK2 @ sK0 )
= $false )
| ( $false
= ( hollywood @ sK2 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK2 @ sK0 ) )
| ~ spl1_2
| ~ spl1_6 ),
inference(trivial_inequality_removal,[],[f442]) ).
thf(f448,plain,
( ( $false
= ( exists_in_world @ sK2 @ sK0 ) )
| ( $false
= ( hollywood @ sK2 @ sK0 ) )
| ( $true = $false )
| ~ spl1_2
| ~ spl1_6 ),
inference(forward_demodulation,[],[f446,f318]) ).
thf(f449,plain,
( ( $false
= ( exists_in_world @ sK2 @ sK0 ) )
| ( $false
= ( hollywood @ sK2 @ sK0 ) )
| ~ spl1_2
| ~ spl1_6 ),
inference(trivial_inequality_removal,[],[f448]) ).
thf(f452,plain,
( ( $true = $false )
| ( $false
= ( hollywood @ sK2 @ sK0 ) )
| ~ spl1_2
| ~ spl1_6 ),
inference(forward_demodulation,[],[f449,f232]) ).
thf(f453,plain,
( ( $false
= ( hollywood @ sK2 @ sK0 ) )
| ~ spl1_2
| ~ spl1_6 ),
inference(trivial_inequality_removal,[],[f452]) ).
thf(f458,plain,
( ( $true = $false )
| ~ spl1_2
| ~ spl1_6 ),
inference(superposition,[],[f313,f453]) ).
thf(f462,plain,
( $false
| ~ spl1_2
| ~ spl1_6 ),
inference(trivial_inequality_removal,[],[f458]) ).
thf(f463,plain,
( ~ spl1_2
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f462]) ).
thf(f464,plain,
( ( $true = $false )
| ~ spl1_2
| ~ spl1_4 ),
inference(forward_demodulation,[],[f226,f215]) ).
thf(f465,plain,
( $false
| ~ spl1_2
| ~ spl1_4 ),
inference(trivial_inequality_removal,[],[f464]) ).
thf(f466,plain,
( ~ spl1_2
| ~ spl1_4 ),
inference(avatar_contradiction_clause,[],[f465]) ).
thf(f467,plain,
( ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( street @ Y3 @ sK0 )
| ~ ( way @ Y3 @ sK0 )
| ~ ( lonely @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y2 @ sK0 )
| ~ ( down @ Y1 @ Y3 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) )
@ sK7 ) )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f211]) ).
thf(f469,plain,
( ( $false
= ( ( exists_in_world @ sK7 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y1 @ sK0 )
| ~ ( down @ Y0 @ Y2 @ sK0 )
| ~ ( in @ Y0 @ sK7 @ sK0 ) ) ) ) ) ) ) ) ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f467]) ).
thf(f471,plain,
( ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y1 @ sK0 )
| ~ ( down @ Y0 @ Y2 @ sK0 )
| ~ ( in @ Y0 @ sK7 @ sK0 ) ) ) ) ) ) ) )
= $false )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f469]) ).
thf(f472,plain,
( ( $true
= ( exists_in_world @ sK7 @ sK0 ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f469]) ).
thf(f473,plain,
( ! [X1: mu] :
( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( !! @ mu
@ ^ [Y3: mu] :
( ( exists_in_world @ Y3 @ sK0 )
=> ( ~ ( hollywood @ Y0 @ sK0 )
| ~ ( city @ Y0 @ sK0 )
| ~ ( event @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( chevy @ Y3 @ sK0 )
| ~ ( car @ Y3 @ sK0 )
| ~ ( white @ Y3 @ sK0 )
| ~ ( dirty @ Y3 @ sK0 )
| ~ ( old @ Y3 @ sK0 )
| ~ ( barrel @ Y1 @ Y3 @ sK0 )
| ~ ( down @ Y1 @ Y2 @ sK0 )
| ~ ( in @ Y1 @ Y0 @ sK0 ) ) ) ) ) ) ) ) )
@ X1 ) )
| spl1_2 ),
inference(pi_proxy_clausification,[],[f214]) ).
thf(f475,plain,
( ! [X1: mu] :
( $true
= ( ( exists_in_world @ X1 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y2 @ sK0 )
| ~ ( down @ Y0 @ Y1 @ sK0 )
| ~ ( in @ Y0 @ X1 @ sK0 ) ) ) ) ) ) ) ) ) )
| spl1_2 ),
inference(beta-eta_normalization,[],[f473]) ).
thf(f476,plain,
( ! [X1: mu] :
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y2 @ sK0 )
| ~ ( down @ Y0 @ Y1 @ sK0 )
| ~ ( in @ Y0 @ X1 @ sK0 ) ) ) ) ) ) ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| spl1_2 ),
inference(imp_proxy_clausification,[],[f475]) ).
thf(f477,plain,
( ! [X2: mu,X1: mu] :
( ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( chevy @ Y2 @ sK0 )
| ~ ( car @ Y2 @ sK0 )
| ~ ( white @ Y2 @ sK0 )
| ~ ( dirty @ Y2 @ sK0 )
| ~ ( old @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y2 @ sK0 )
| ~ ( down @ Y0 @ Y1 @ sK0 )
| ~ ( in @ Y0 @ X1 @ sK0 ) ) ) ) ) ) )
@ X2 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| spl1_2 ),
inference(pi_proxy_clausification,[],[f476]) ).
thf(f478,plain,
( ! [X2: mu,X1: mu] :
( ( $true
= ( ( exists_in_world @ X2 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( barrel @ X2 @ Y1 @ sK0 )
| ~ ( down @ X2 @ Y0 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) ) ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| spl1_2 ),
inference(beta-eta_normalization,[],[f477]) ).
thf(f479,plain,
( ! [X2: mu,X1: mu] :
( ( ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( barrel @ X2 @ Y1 @ sK0 )
| ~ ( down @ X2 @ Y0 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) ) )
= $true )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| spl1_2 ),
inference(imp_proxy_clausification,[],[f478]) ).
thf(f480,plain,
( ! [X2: mu,X3: mu,X1: mu] :
( ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( barrel @ X2 @ Y1 @ sK0 )
| ~ ( down @ X2 @ Y0 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) )
@ X3 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| spl1_2 ),
inference(pi_proxy_clausification,[],[f479]) ).
thf(f481,plain,
( ! [X2: mu,X3: mu,X1: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ( exists_in_world @ X3 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( barrel @ X2 @ Y0 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| spl1_2 ),
inference(beta-eta_normalization,[],[f480]) ).
thf(f482,plain,
( ! [X2: mu,X3: mu,X1: mu] :
( ( $true
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( barrel @ X2 @ Y0 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| spl1_2 ),
inference(imp_proxy_clausification,[],[f481]) ).
thf(f483,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( barrel @ X2 @ Y0 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
@ X4 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| spl1_2 ),
inference(pi_proxy_clausification,[],[f482]) ).
thf(f484,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ( exists_in_world @ X4 @ sK0 )
=> ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) ) )
| spl1_2 ),
inference(beta-eta_normalization,[],[f483]) ).
thf(f485,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( hollywood @ X1 @ sK0 )
| ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) ) )
| spl1_2 ),
inference(imp_proxy_clausification,[],[f484]) ).
thf(f486,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( city @ X1 @ sK0 )
| ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $true
= ( ~ ( hollywood @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f485]) ).
thf(f487,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( hollywood @ X1 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $true
= ( ~ ( city @ X1 @ sK0 ) ) )
| ( $true
= ( ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f486]) ).
thf(f488,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( city @ X1 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f487]) ).
thf(f489,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( event @ X2 @ sK0 )
| ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f488]) ).
thf(f490,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( ( ~ ( event @ X2 @ sK0 ) )
= $true )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f489]) ).
thf(f491,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( street @ X3 @ sK0 )
| ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f490]) ).
thf(f492,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( event @ X2 @ sK0 ) )
| ( $true
= ( ~ ( way @ X3 @ sK0 )
| ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f491]) ).
thf(f493,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X3 @ sK0 )
| ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $true
= ( ~ ( way @ X3 @ sK0 ) ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f492]) ).
thf(f494,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( way @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X3 @ sK0 ) ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f493]) ).
thf(f495,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( chevy @ X4 @ sK0 )
| ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f494]) ).
thf(f496,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( chevy @ X4 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f495]) ).
thf(f497,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $true
= ( ~ ( car @ X4 @ sK0 )
| ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X3 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f496]) ).
thf(f498,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( way @ X3 @ sK0 ) )
| ( $true
= ( ~ ( car @ X4 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $true
= ( ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X3 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f497]) ).
thf(f499,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( white @ X4 @ sK0 )
| ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f498]) ).
thf(f500,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $true
= ( ~ ( lonely @ X3 @ sK0 ) ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $true
= ( ~ ( white @ X4 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f499]) ).
thf(f501,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( city @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $true
= ( ~ ( street @ X3 @ sK0 ) ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $true
= ( ~ ( white @ X4 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f500]) ).
thf(f502,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( dirty @ X4 @ sK0 )
| ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( white @ X4 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f501]) ).
thf(f503,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( street @ X3 @ sK0 ) )
| ( ( ~ ( dirty @ X4 @ sK0 ) )
= $true )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $true
= ( ~ ( white @ X4 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f502]) ).
thf(f504,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( dirty @ X4 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( old @ X4 @ sK0 )
| ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( white @ X4 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f503]) ).
thf(f505,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $true
= ( ~ ( white @ X4 @ sK0 ) ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( $false
= ( dirty @ X4 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $true
= ( ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $true
= ( ~ ( old @ X4 @ sK0 ) ) )
| ( $false
= ( city @ X1 @ sK0 ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f504]) ).
thf(f506,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( $true
= ( ~ ( barrel @ X2 @ X4 @ sK0 )
| ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $true
= ( ~ ( old @ X4 @ sK0 ) ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( white @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X4 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f505]) ).
thf(f507,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( $false
= ( white @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( dirty @ X4 @ sK0 ) )
| ( $true
= ( ~ ( down @ X2 @ X3 @ sK0 )
| ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $true
= ( ~ ( old @ X4 @ sK0 ) ) )
| ( $true
= ( ~ ( barrel @ X2 @ X4 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f506]) ).
thf(f508,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( street @ X3 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $true
= ( ~ ( in @ X2 @ X1 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $true
= ( ~ ( barrel @ X2 @ X4 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X4 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true
= ( ~ ( old @ X4 @ sK0 ) ) )
| ( $true
= ( ~ ( down @ X2 @ X3 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( white @ X4 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false ) )
| spl1_2 ),
inference(or_proxy_clausification,[],[f507]) ).
thf(f509,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $true
= ( ~ ( barrel @ X2 @ X4 @ sK0 ) ) )
| ( $true
= ( ~ ( old @ X4 @ sK0 ) ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( in @ X2 @ X1 @ sK0 ) )
| ( $true
= ( ~ ( down @ X2 @ X3 @ sK0 ) ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( white @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X4 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f508]) ).
thf(f510,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( $true
= ( ~ ( down @ X2 @ X3 @ sK0 ) ) )
| ( $true
= ( ~ ( old @ X4 @ sK0 ) ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( ( barrel @ X2 @ X4 @ sK0 )
= $false )
| ( $false
= ( white @ X4 @ sK0 ) )
| ( $false
= ( dirty @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( in @ X2 @ X1 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f509]) ).
thf(f511,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( dirty @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( ( barrel @ X2 @ X4 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( down @ X2 @ X3 @ sK0 ) )
| ( $false
= ( white @ X4 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( in @ X2 @ X1 @ sK0 ) )
| ( $true
= ( ~ ( old @ X4 @ sK0 ) ) )
| ( $false
= ( lonely @ X3 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f510]) ).
thf(f512,plain,
( ! [X2: mu,X3: mu,X1: mu,X4: mu] :
( ( $false
= ( down @ X2 @ X3 @ sK0 ) )
| ( $false
= ( street @ X3 @ sK0 ) )
| ( $false
= ( exists_in_world @ X4 @ sK0 ) )
| ( $false
= ( car @ X4 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( dirty @ X4 @ sK0 ) )
| ( $false
= ( lonely @ X3 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( barrel @ X2 @ X4 @ sK0 )
= $false )
| ( $false
= ( way @ X3 @ sK0 ) )
| ( $false
= ( old @ X4 @ sK0 ) )
| ( $false
= ( exists_in_world @ X3 @ sK0 ) )
| ( $false
= ( in @ X2 @ X1 @ sK0 ) )
| ( ( exists_in_world @ X2 @ sK0 )
= $false )
| ( $false
= ( white @ X4 @ sK0 ) )
| ( $false
= ( event @ X2 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( chevy @ X4 @ sK0 ) ) )
| spl1_2 ),
inference(not_proxy_clausification,[],[f511]) ).
thf(f519,plain,
( ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( !! @ mu
@ ^ [Y2: mu] :
( ( exists_in_world @ Y2 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ Y0 @ sK0 )
| ~ ( chevy @ Y1 @ sK0 )
| ~ ( car @ Y1 @ sK0 )
| ~ ( white @ Y1 @ sK0 )
| ~ ( dirty @ Y1 @ sK0 )
| ~ ( old @ Y1 @ sK0 )
| ~ ( street @ Y2 @ sK0 )
| ~ ( way @ Y2 @ sK0 )
| ~ ( lonely @ Y2 @ sK0 )
| ~ ( barrel @ Y0 @ Y1 @ sK0 )
| ~ ( down @ Y0 @ Y2 @ sK0 )
| ~ ( in @ Y0 @ sK7 @ sK0 ) ) ) ) ) ) )
@ sK8 ) )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f471]) ).
thf(f522,plain,
( ( $false
= ( ( exists_in_world @ sK8 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( barrel @ sK8 @ Y0 @ sK0 )
| ~ ( down @ sK8 @ Y1 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) ) ) ) ) ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f519]) ).
thf(f523,plain,
( ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( barrel @ sK8 @ Y0 @ sK0 )
| ~ ( down @ sK8 @ Y1 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) ) ) ) ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f522]) ).
thf(f524,plain,
( ( $true
= ( exists_in_world @ sK8 @ sK0 ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f522]) ).
thf(f525,plain,
( ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( !! @ mu
@ ^ [Y1: mu] :
( ( exists_in_world @ Y1 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ Y0 @ sK0 )
| ~ ( car @ Y0 @ sK0 )
| ~ ( white @ Y0 @ sK0 )
| ~ ( dirty @ Y0 @ sK0 )
| ~ ( old @ Y0 @ sK0 )
| ~ ( street @ Y1 @ sK0 )
| ~ ( way @ Y1 @ sK0 )
| ~ ( lonely @ Y1 @ sK0 )
| ~ ( barrel @ sK8 @ Y0 @ sK0 )
| ~ ( down @ sK8 @ Y1 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) ) ) )
@ sK9 ) )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f523]) ).
thf(f528,plain,
( ( $false
= ( ( exists_in_world @ sK9 @ sK0 )
=> ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ sK9 @ sK0 )
| ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ Y0 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) ) ) ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f525]) ).
thf(f529,plain,
( ( $false
= ( !! @ mu
@ ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ sK9 @ sK0 )
| ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ Y0 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) ) ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f528]) ).
thf(f530,plain,
( ( $true
= ( exists_in_world @ sK9 @ sK0 ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f528]) ).
thf(f531,plain,
( ( $false
= ( ^ [Y0: mu] :
( ( exists_in_world @ Y0 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ sK9 @ sK0 )
| ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ Y0 @ sK0 )
| ~ ( way @ Y0 @ sK0 )
| ~ ( lonely @ Y0 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ Y0 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
@ sK10 ) )
| ~ spl1_1 ),
inference(sigma_proxy_clausification,[],[f529]) ).
thf(f534,plain,
( ( $false
= ( ( exists_in_world @ sK10 @ sK0 )
=> ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ sK9 @ sK0 )
| ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) ) )
| ~ spl1_1 ),
inference(beta-eta_normalization,[],[f531]) ).
thf(f535,plain,
( ( $false
= ( ~ ( hollywood @ sK7 @ sK0 )
| ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ sK9 @ sK0 )
| ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f534]) ).
thf(f536,plain,
( ( $true
= ( exists_in_world @ sK10 @ sK0 ) )
| ~ spl1_1 ),
inference(imp_proxy_clausification,[],[f534]) ).
thf(f537,plain,
( ( $false
= ( ~ ( city @ sK7 @ sK0 )
| ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ sK9 @ sK0 )
| ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f535]) ).
thf(f538,plain,
( ( ( ~ ( hollywood @ sK7 @ sK0 ) )
= $false )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f535]) ).
thf(f539,plain,
( ( $true
= ( hollywood @ sK7 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f538]) ).
thf(f540,plain,
( ( $false
= ( ~ ( event @ sK8 @ sK0 )
| ~ ( chevy @ sK9 @ sK0 )
| ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f537]) ).
thf(f541,plain,
( ( ( ~ ( city @ sK7 @ sK0 ) )
= $false )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f537]) ).
thf(f542,plain,
( ( ( ~ ( chevy @ sK9 @ sK0 )
| ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) )
= $false )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f540]) ).
thf(f543,plain,
( ( $false
= ( ~ ( event @ sK8 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f540]) ).
thf(f544,plain,
( ( $true
= ( city @ sK7 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f541]) ).
thf(f545,plain,
( ( $false
= ( ~ ( car @ sK9 @ sK0 )
| ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f542]) ).
thf(f546,plain,
( ( $false
= ( ~ ( chevy @ sK9 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f542]) ).
thf(f547,plain,
( ( $true
= ( event @ sK8 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f543]) ).
thf(f548,plain,
( ( $true
= ( chevy @ sK9 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f546]) ).
thf(f549,plain,
( ( $false
= ( ~ ( white @ sK9 @ sK0 )
| ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f545]) ).
thf(f550,plain,
( ( $false
= ( ~ ( car @ sK9 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f545]) ).
thf(f551,plain,
( ( ( ~ ( dirty @ sK9 @ sK0 )
| ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) )
= $false )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f549]) ).
thf(f552,plain,
( ( $false
= ( ~ ( white @ sK9 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f549]) ).
thf(f553,plain,
( ( $true
= ( car @ sK9 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f550]) ).
thf(f554,plain,
( ( $false
= ( ~ ( old @ sK9 @ sK0 )
| ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f551]) ).
thf(f555,plain,
( ( $false
= ( ~ ( dirty @ sK9 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f551]) ).
thf(f556,plain,
( ( $true
= ( white @ sK9 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f552]) ).
thf(f557,plain,
( ( $false
= ( ~ ( street @ sK10 @ sK0 )
| ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f554]) ).
thf(f558,plain,
( ( $false
= ( ~ ( old @ sK9 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f554]) ).
thf(f559,plain,
( ( $true
= ( dirty @ sK9 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f555]) ).
thf(f560,plain,
( ( ( ~ ( way @ sK10 @ sK0 )
| ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) )
= $false )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f557]) ).
thf(f561,plain,
( ( $false
= ( ~ ( street @ sK10 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f557]) ).
thf(f562,plain,
( ( $true
= ( old @ sK9 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f558]) ).
thf(f563,plain,
( ( $true
= ( street @ sK10 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f561]) ).
thf(f564,plain,
( ( ( ~ ( lonely @ sK10 @ sK0 )
| ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) )
= $false )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f560]) ).
thf(f565,plain,
( ( $false
= ( ~ ( way @ sK10 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f560]) ).
thf(f566,plain,
( ( $true
= ( way @ sK10 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f565]) ).
thf(f567,plain,
( ( $false
= ( ~ ( barrel @ sK8 @ sK9 @ sK0 )
| ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f564]) ).
thf(f568,plain,
( ( $false
= ( ~ ( lonely @ sK10 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f564]) ).
thf(f569,plain,
( ( $false
= ( ~ ( down @ sK8 @ sK10 @ sK0 )
| ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f567]) ).
thf(f570,plain,
( ( $false
= ( ~ ( barrel @ sK8 @ sK9 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f567]) ).
thf(f571,plain,
( ( $true
= ( lonely @ sK10 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f568]) ).
thf(f572,plain,
( ( $false
= ( ~ ( in @ sK8 @ sK7 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f569]) ).
thf(f573,plain,
( ( $false
= ( ~ ( down @ sK8 @ sK10 @ sK0 ) ) )
| ~ spl1_1 ),
inference(or_proxy_clausification,[],[f569]) ).
thf(f574,plain,
( ( $true
= ( barrel @ sK8 @ sK9 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f570]) ).
thf(f575,plain,
( ( $true
= ( in @ sK8 @ sK7 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f572]) ).
thf(f576,plain,
( ( $true
= ( down @ sK8 @ sK10 @ sK0 ) )
| ~ spl1_1 ),
inference(not_proxy_clausification,[],[f573]) ).
thf(f577,plain,
( ! [X0: mu,X1: mu] :
( ( ( old @ X0 @ sK0 )
= $false )
| ( $true = $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( lonely @ sK10 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( $false
= ( event @ sK8 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK10 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( street @ sK10 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(superposition,[],[f576,f512]) ).
thf(f580,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( street @ sK10 @ sK0 ) )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK10 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( lonely @ sK10 @ sK0 ) )
| ( $false
= ( event @ sK8 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f577]) ).
thf(f583,plain,
( ! [X0: mu,X1: mu] :
( ( ( way @ sK10 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( $false
= ( lonely @ sK10 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( event @ sK8 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK10 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $true = $false ) )
| ~ spl1_1
| spl1_2 ),
inference(forward_demodulation,[],[f580,f563]) ).
thf(f584,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( lonely @ sK10 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK10 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( event @ sK8 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f583]) ).
thf(f587,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( event @ sK8 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $true = $false )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ sK10 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(forward_demodulation,[],[f584,f571]) ).
thf(f588,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( exists_in_world @ sK10 @ sK0 ) )
| ( $false
= ( event @ sK8 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f587]) ).
thf(f591,plain,
( ! [X0: mu,X1: mu] :
( ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( event @ sK8 @ sK0 ) )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(forward_demodulation,[],[f588,f536]) ).
thf(f592,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( event @ sK8 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f591]) ).
thf(f595,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( car @ X0 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $true = $false )
| ( ( old @ X0 @ sK0 )
= $false )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(forward_demodulation,[],[f592,f547]) ).
thf(f596,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( city @ X1 @ sK0 ) )
| ( ( way @ sK10 @ sK0 )
= $false )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f595]) ).
thf(f599,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $true = $false )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(forward_demodulation,[],[f596,f566]) ).
thf(f600,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK8 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( white @ X0 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f599]) ).
thf(f603,plain,
( ! [X0: mu,X1: mu] :
( ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) ) )
| ~ spl1_1
| spl1_2 ),
inference(forward_demodulation,[],[f600,f524]) ).
thf(f604,plain,
( ! [X0: mu,X1: mu] :
( ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( ( chevy @ X0 @ sK0 )
= $false ) )
| ~ spl1_1
| spl1_2 ),
inference(trivial_inequality_removal,[],[f603]) ).
thf(f606,definition,
( spl1_7
<=> ! [X1: mu] :
( ( $false
= ( hollywood @ X1 @ sK0 ) )
| ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).
thf(f607,plain,
( ! [X1: mu] :
( ( $false
= ( in @ sK8 @ X1 @ sK0 ) )
| ( $false
= ( city @ X1 @ sK0 ) )
| ( $false
= ( exists_in_world @ X1 @ sK0 ) )
| ( $false
= ( hollywood @ X1 @ sK0 ) ) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f606]) ).
thf(f609,definition,
( spl1_8
<=> ! [X0: mu] :
( ( $false
= ( dirty @ X0 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( ( chevy @ X0 @ sK0 )
= $false )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).
thf(f610,plain,
( ! [X0: mu] :
( ( $false
= ( barrel @ sK8 @ X0 @ sK0 ) )
| ( ( old @ X0 @ sK0 )
= $false )
| ( $false
= ( white @ X0 @ sK0 ) )
| ( $false
= ( dirty @ X0 @ sK0 ) )
| ( $false
= ( car @ X0 @ sK0 ) )
| ( ( exists_in_world @ X0 @ sK0 )
= $false )
| ( ( chevy @ X0 @ sK0 )
= $false ) )
| ~ spl1_8 ),
inference(avatar_component_clause,[],[f609]) ).
thf(f612,plain,
( spl1_7
| spl1_8
| ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f604,f213,f209,f609,f606]) ).
thf(f613,plain,
( ( $false
= ( old @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( exists_in_world @ sK9 @ sK0 ) )
| ( $false
= ( car @ sK9 @ sK0 ) )
| ( $false
= ( white @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(superposition,[],[f610,f574]) ).
thf(f617,plain,
( ( $false
= ( old @ sK9 @ sK0 ) )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ( $false
= ( car @ sK9 @ sK0 ) )
| ( $false
= ( white @ sK9 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f613]) ).
thf(f619,plain,
( ( $false
= ( white @ sK9 @ sK0 ) )
| ( $true = $false )
| ( $false
= ( car @ sK9 @ sK0 ) )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(forward_demodulation,[],[f617,f562]) ).
thf(f620,plain,
( ( $false
= ( car @ sK9 @ sK0 ) )
| ( $false
= ( white @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f619]) ).
thf(f623,plain,
( ( $true = $false )
| ( $false
= ( exists_in_world @ sK9 @ sK0 ) )
| ( $false
= ( white @ sK9 @ sK0 ) )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(forward_demodulation,[],[f620,f553]) ).
thf(f624,plain,
( ( $false
= ( white @ sK9 @ sK0 ) )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f623]) ).
thf(f627,plain,
( ( $true = $false )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ( $false
= ( exists_in_world @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(forward_demodulation,[],[f624,f556]) ).
thf(f628,plain,
( ( $false
= ( exists_in_world @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f627]) ).
thf(f631,plain,
( ( $true = $false )
| ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(forward_demodulation,[],[f628,f530]) ).
thf(f632,plain,
( ( $false
= ( chevy @ sK9 @ sK0 ) )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f631]) ).
thf(f635,plain,
( ( $true = $false )
| ( $false
= ( dirty @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(forward_demodulation,[],[f632,f548]) ).
thf(f636,plain,
( ( $false
= ( dirty @ sK9 @ sK0 ) )
| ~ spl1_1
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f635]) ).
thf(f639,plain,
( ( $true = $false )
| ~ spl1_1
| ~ spl1_8 ),
inference(superposition,[],[f636,f559]) ).
thf(f644,plain,
( $false
| ~ spl1_1
| ~ spl1_8 ),
inference(trivial_inequality_removal,[],[f639]) ).
thf(f645,plain,
( ~ spl1_1
| ~ spl1_8 ),
inference(avatar_contradiction_clause,[],[f644]) ).
thf(f649,plain,
( ( $true = $false )
| ( $false
= ( city @ sK7 @ sK0 ) )
| ( ( hollywood @ sK7 @ sK0 )
= $false )
| ( $false
= ( exists_in_world @ sK7 @ sK0 ) )
| ~ spl1_1
| ~ spl1_7 ),
inference(superposition,[],[f575,f607]) ).
thf(f651,plain,
( ( $false
= ( exists_in_world @ sK7 @ sK0 ) )
| ( ( hollywood @ sK7 @ sK0 )
= $false )
| ( $false
= ( city @ sK7 @ sK0 ) )
| ~ spl1_1
| ~ spl1_7 ),
inference(trivial_inequality_removal,[],[f649]) ).
thf(f653,plain,
( ( ( hollywood @ sK7 @ sK0 )
= $false )
| ( $true = $false )
| ( $false
= ( city @ sK7 @ sK0 ) )
| ~ spl1_1
| ~ spl1_7 ),
inference(forward_demodulation,[],[f651,f472]) ).
thf(f654,plain,
( ( $false
= ( city @ sK7 @ sK0 ) )
| ( ( hollywood @ sK7 @ sK0 )
= $false )
| ~ spl1_1
| ~ spl1_7 ),
inference(trivial_inequality_removal,[],[f653]) ).
thf(f657,plain,
( ( ( hollywood @ sK7 @ sK0 )
= $false )
| ( $true = $false )
| ~ spl1_1
| ~ spl1_7 ),
inference(forward_demodulation,[],[f654,f544]) ).
thf(f658,plain,
( ( ( hollywood @ sK7 @ sK0 )
= $false )
| ~ spl1_1
| ~ spl1_7 ),
inference(trivial_inequality_removal,[],[f657]) ).
thf(f661,plain,
( ( $true = $false )
| ~ spl1_1
| ~ spl1_7 ),
inference(superposition,[],[f658,f539]) ).
thf(f667,plain,
( $false
| ~ spl1_1
| ~ spl1_7 ),
inference(trivial_inequality_removal,[],[f661]) ).
thf(f668,plain,
( ~ spl1_1
| ~ spl1_7 ),
inference(avatar_contradiction_clause,[],[f667]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f216]) ).
cnf(s2,plain,
( spl1_1
| spl1_3 ),
inference(sat_conversion,[],[f222]) ).
cnf(s4,plain,
( spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f228]) ).
cnf(s6,plain,
( ~ spl1_2
| ~ spl1_3
| spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f409]) ).
cnf(s8,plain,
( ~ spl1_2
| ~ spl1_5 ),
inference(sat_conversion,[],[f441]) ).
cnf(s10,plain,
( ~ spl1_2
| ~ spl1_6 ),
inference(sat_conversion,[],[f463]) ).
cnf(s11,plain,
( ~ spl1_2
| ~ spl1_4 ),
inference(sat_conversion,[],[f466]) ).
cnf(s13,plain,
( ~ spl1_1
| spl1_2
| spl1_7
| spl1_8 ),
inference(sat_conversion,[],[f612]) ).
cnf(s15,plain,
( ~ spl1_1
| ~ spl1_8 ),
inference(sat_conversion,[],[f645]) ).
cnf(s17,plain,
( ~ spl1_1
| ~ spl1_7 ),
inference(sat_conversion,[],[f668]) ).
cnf(s18,plain,
spl1_1,
inference(rat,[],[s6,s8,s10,s1,s2]) ).
cnf(s19,plain,
~ spl1_7,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
~ spl1_8,
inference(rat,[],[s15,s18]) ).
cnf(s21,plain,
spl1_2,
inference(rat,[],[s13,s20,s19,s18]) ).
cnf(s22,plain,
~ spl1_4,
inference(rat,[],[s11,s21]) ).
cnf(s23,plain,
~ spl1_6,
inference(rat,[],[s10,s21]) ).
cnf(s24,plain,
~ spl1_5,
inference(rat,[],[s8,s21]) ).
cnf(s25,plain,
spl1_3,
inference(rat,[],[s4,s22]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s6,s23,s21,s25,s24]) ).
thf(f669,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP001^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n007.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Sep 29 11:27:26 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running higher-order theorem proving
% 0.23/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.47 % (3238673)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.47 % (3238679)lrs+10_16_si=on:nwc=1.5:random_seed=4273198148:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.47 % (3238678)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1065675390:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.47 % (3238679)Instruction limit reached!
% 0.50/0.47 % (3238679)------------------------------
% 0.50/0.47 % (3238679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.47 % (3238679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.47 % (3238679)CaDiCaL version: 2.1.3
% 0.50/0.47 % (3238679)Termination reason: Instruction limit
% 0.50/0.47 % (3238679)Termination phase: Property scanning
% 0.50/0.47 % (3238679)Time elapsed: 0.008 s
% 0.50/0.47 % (3238679)Peak memory usage: 10 MB
% 0.50/0.47 % (3238679)Instructions burned: 19 (million)
% 0.50/0.47 % (3238681)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3227701176:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.50/0.47 % (3238680)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1067645339:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.47 % (3238687)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2688441340:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.47 % (3238680)Instruction limit reached!
% 0.50/0.47 % (3238680)------------------------------
% 0.50/0.47 % (3238680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.47 % (3238680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.47 % (3238680)CaDiCaL version: 2.1.3
% 0.50/0.47 % (3238680)Termination reason: Instruction limit
% 0.50/0.47 % (3238680)Termination phase: Property scanning
% 0.50/0.47 % (3238680)Time elapsed: 0.003 s
% 0.50/0.47 % (3238680)Peak memory usage: 10 MB
% 0.50/0.47 % (3238680)Instructions burned: 7 (million)
% 0.50/0.47 % (3238687)Instruction limit reached!
% 0.50/0.47 % (3238687)------------------------------
% 0.50/0.47 % (3238687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.47 % (3238687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.47 % (3238687)CaDiCaL version: 2.1.3
% 0.50/0.47 % (3238687)Termination reason: Instruction limit
% 0.50/0.47 % (3238687)Termination phase: shuffling
% 0.50/0.47 % (3238687)Time elapsed: 0.001 s
% 0.50/0.47 % (3238687)Peak memory usage: 9 MB
% 0.50/0.47 % (3238687)Instructions burned: 2 (million)
% 0.50/0.47 % (3238683)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2370358274:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.47 % (3238684)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.47 % (3238684)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.50/0.47 % (3238682)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=532820775:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.47 % (3238684)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2558211234:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.47 % (3238678)Instruction limit reached!
% 0.50/0.47 % (3238678)------------------------------
% 0.50/0.47 % (3238678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.47 % (3238678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.47 % (3238678)CaDiCaL version: 2.1.3
% 0.50/0.47 % (3238678)Termination reason: Instruction limit
% 0.50/0.47 % (3238678)Termination phase: Saturation
% 0.50/0.47 % (3238678)Time elapsed: 0.040 s
% 0.50/0.47 % (3238678)Peak memory usage: 11 MB
% 0.50/0.47 % (3238678)Instructions burned: 88 (million)
% 0.50/0.47 % (3238693)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.17/0.52 % (3238693)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1207236972:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.17/0.52 % (3238693)Instruction limit reached!
% 1.17/0.52 % (3238693)------------------------------
% 1.17/0.52 % (3238693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3238693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3238693)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3238693)Termination reason: Instruction limit
% 1.17/0.52 % (3238693)Termination phase: Property scanning
% 1.17/0.52 % (3238693)Time elapsed: 0.004 s
% 1.17/0.52 % (3238693)Peak memory usage: 10 MB
% 1.17/0.52 % (3238693)Instructions burned: 9 (million)
% 1.17/0.52 % (3238682)Instruction limit reached!
% 1.17/0.52 % (3238682)------------------------------
% 1.17/0.52 % (3238682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3238682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3238682)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3238682)Termination reason: Instruction limit
% 1.17/0.52 % (3238682)Termination phase: Saturation
% 1.17/0.52 % (3238682)Time elapsed: 0.021 s
% 1.17/0.52 % (3238682)Peak memory usage: 12 MB
% 1.17/0.52 % (3238682)Instructions burned: 24 (million)
% 1.17/0.52 % (3238691)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2408553511:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.17/0.52 % (3238691)Instruction limit reached!
% 1.17/0.52 % (3238691)------------------------------
% 1.17/0.52 % (3238691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3238691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3238691)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3238691)Termination reason: Instruction limit
% 1.17/0.52 % (3238691)Termination phase: Property scanning
% 1.17/0.52 % (3238691)Time elapsed: 0.003 s
% 1.17/0.52 % (3238691)Peak memory usage: 10 MB
% 1.17/0.52 % (3238691)Instructions burned: 6 (million)
% 1.17/0.52 % (3238696)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1892621022:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.17/0.52 % (3238698)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.17/0.52 % (3238698)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.17/0.52 % (3238683)Instruction limit reached!
% 1.17/0.52 % (3238683)------------------------------
% 1.17/0.52 % (3238683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3238683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3238683)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3238683)Termination reason: Instruction limit
% 1.17/0.52 % (3238683)Termination phase: Saturation
% 1.17/0.52 % (3238683)Time elapsed: 0.054 s
% 1.17/0.52 % (3238683)Peak memory usage: 12 MB
% 1.17/0.52 % (3238683)Instructions burned: 76 (million)
% 1.17/0.52 % (3238698)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3399298862:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.17/0.52 % (3238696)Instruction limit reached!
% 1.17/0.52 % (3238696)------------------------------
% 1.17/0.52 % (3238696)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.52 % (3238696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.52 % (3238696)CaDiCaL version: 2.1.3
% 1.17/0.52 % (3238696)Termination reason: Instruction limit
% 1.17/0.52 % (3238696)Termination phase: Function definition elimination
% 1.17/0.52 % (3238696)Time elapsed: 0.006 s
% 1.17/0.52 % (3238696)Peak memory usage: 10 MB
% 1.17/0.52 % (3238696)Instructions burned: 13 (million)
% 1.17/0.52 % (3238699)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1252807268:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.17/0.52 % (3238698)Instruction limit reached!
% 1.17/0.52 % (3238698)------------------------------
% 1.17/0.52 % (3238698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3238698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3238698)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3238698)Termination reason: Instruction limit
% 1.17/0.58 % (3238698)Termination phase: Saturation
% 1.17/0.58 % (3238698)Time elapsed: 0.011 s
% 1.17/0.58 % (3238698)Peak memory usage: 11 MB
% 1.17/0.58 % (3238698)Instructions burned: 28 (million)
% 1.17/0.58 % (3238705)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3379088686:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.17/0.58 % (3238703)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.17/0.58 % (3238703)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=3887161923:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.17/0.58 % (3238707)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1450172380:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.17/0.58 % (3238703)Instruction limit reached!
% 1.17/0.58 % (3238703)------------------------------
% 1.17/0.58 % (3238703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3238703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3238703)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3238703)Termination reason: Instruction limit
% 1.17/0.58 % (3238703)Termination phase: shuffling
% 1.17/0.58 % (3238703)Time elapsed: 0.002 s
% 1.17/0.58 % (3238703)Peak memory usage: 10 MB
% 1.17/0.58 % (3238703)Instructions burned: 3 (million)
% 1.17/0.58 % (3238701)lrs+10_1_si=on:cs=on:random_seed=2193017031:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.17/0.58 % (3238705)Instruction limit reached!
% 1.17/0.58 % (3238705)------------------------------
% 1.17/0.58 % (3238705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3238705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3238705)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3238705)Termination reason: Instruction limit
% 1.17/0.58 % (3238705)Termination phase: Saturation
% 1.17/0.58 % (3238705)Time elapsed: 0.017 s
% 1.17/0.58 % (3238705)Peak memory usage: 11 MB
% 1.17/0.58 % (3238705)Instructions burned: 40 (million)
% 1.17/0.58 % (3238701)Instruction limit reached!
% 1.17/0.58 % (3238701)------------------------------
% 1.17/0.58 % (3238701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3238701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3238701)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3238701)Termination reason: Instruction limit
% 1.17/0.58 % (3238701)Termination phase: Property scanning
% 1.17/0.58 % (3238701)Time elapsed: 0.008 s
% 1.17/0.58 % (3238701)Peak memory usage: 10 MB
% 1.17/0.58 % (3238701)Instructions burned: 9 (million)
% 1.17/0.58 % (3238707)Refutation not found, incomplete strategy
% 1.17/0.58 % (3238707)------------------------------
% 1.17/0.58 % (3238707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3238707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3238707)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3238707)Termination reason: Refutation not found, incomplete strategy
% 1.17/0.58 % (3238707)Time elapsed: 0.017 s
% 1.17/0.58 % (3238707)Peak memory usage: 13 MB
% 1.17/0.58 % (3238707)Instructions burned: 27 (million)
% 1.17/0.58 % (3238707)------------------------------
% 1.17/0.58 % (3238707)------------------------------
% 1.17/0.58 % (3238684)Instruction limit reached!
% 1.17/0.58 % (3238684)------------------------------
% 1.17/0.58 % (3238684)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.58 % (3238684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.58 % (3238684)CaDiCaL version: 2.1.3
% 1.17/0.58 % (3238684)Termination reason: Instruction limit
% 1.17/0.58 % (3238684)Termination phase: Saturation
% 1.17/0.58 % (3238684)Time elapsed: 0.106 s
% 1.17/0.58 % (3238684)Peak memory usage: 13 MB
% 1.17/0.58 % (3238684)Instructions burned: 157 (million)
% 1.17/0.58 % (3238711)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1656045510:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.81/0.64 % (3238715)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3077797364:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.81/0.64 % (3238713)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1074715713:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.81/0.64 % (3238716)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3688056628:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.81/0.64 % (3238716)Instruction limit reached!
% 1.81/0.64 % (3238716)------------------------------
% 1.81/0.64 % (3238716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.64 % (3238716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.64 % (3238716)CaDiCaL version: 2.1.3
% 1.81/0.64 % (3238716)Termination reason: Instruction limit
% 1.81/0.64 % (3238716)Termination phase: shuffling
% 1.81/0.64 % (3238716)Time elapsed: 0.001 s
% 1.81/0.64 % (3238716)Peak memory usage: 10 MB
% 1.81/0.64 % (3238716)Instructions burned: 4 (million)
% 1.81/0.64 % (3238715)Instruction limit reached!
% 1.81/0.64 % (3238715)------------------------------
% 1.81/0.64 % (3238715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.64 % (3238715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.64 % (3238715)CaDiCaL version: 2.1.3
% 1.81/0.64 % (3238715)Termination reason: Instruction limit
% 1.81/0.64 % (3238715)Termination phase: Property scanning
% 1.81/0.64 % (3238715)Time elapsed: 0.006 s
% 1.81/0.64 % (3238715)Peak memory usage: 10 MB
% 1.81/0.64 % (3238715)Instructions burned: 14 (million)
% 1.81/0.64 % (3238713)Instruction limit reached!
% 1.81/0.64 % (3238713)------------------------------
% 1.81/0.64 % (3238713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.64 % (3238713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.64 % (3238713)CaDiCaL version: 2.1.3
% 1.81/0.64 % (3238713)Termination reason: Instruction limit
% 1.81/0.64 % (3238713)Termination phase: Property scanning
% 1.81/0.64 % (3238713)Time elapsed: 0.011 s
% 1.81/0.64 % (3238713)Peak memory usage: 10 MB
% 1.81/0.64 % (3238713)Instructions burned: 15 (million)
% 1.81/0.64 % (3238699)Instruction limit reached!
% 1.81/0.64 % (3238699)------------------------------
% 1.81/0.64 % (3238699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.64 % (3238699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.64 % (3238699)CaDiCaL version: 2.1.3
% 1.81/0.64 % (3238699)Termination reason: Instruction limit
% 1.81/0.64 % (3238699)Termination phase: Saturation
% 1.81/0.64 % (3238699)Time elapsed: 0.091 s
% 1.81/0.64 % (3238699)Peak memory usage: 11 MB
% 1.81/0.64 % (3238699)Instructions burned: 86 (million)
% 1.81/0.64 % (3238711)Instruction limit reached!
% 1.81/0.64 % (3238711)------------------------------
% 1.81/0.64 % (3238711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.81/0.64 % (3238711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/0.64 % (3238711)CaDiCaL version: 2.1.3
% 1.81/0.64 % (3238711)Termination reason: Instruction limit
% 1.81/0.64 % (3238711)Termination phase: Saturation
% 1.81/0.64 % (3238711)Time elapsed: 0.036 s
% 1.81/0.64 % (3238711)Peak memory usage: 12 MB
% 1.81/0.64 % (3238711)Instructions burned: 25 (million)
% 1.81/0.64 % (3238714)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=930013079:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.81/0.64 % (3238723)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2903446725:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.81/0.64 % (3238721)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4281666898:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.81/0.64 % (3238722)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3246065224:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.81/0.64 % (3238724)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.33/0.76 % (3238724)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.33/0.76 % (3238724)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3069341744:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.33/0.76 % (3238721)Instruction limit reached!
% 2.33/0.76 % (3238721)------------------------------
% 2.33/0.76 % (3238721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.76 % (3238721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.76 % (3238721)CaDiCaL version: 2.1.3
% 2.33/0.76 % (3238721)Termination reason: Instruction limit
% 2.33/0.76 % (3238721)Termination phase: Saturation
% 2.33/0.76 % (3238721)Time elapsed: 0.018 s
% 2.33/0.76 % (3238721)Peak memory usage: 11 MB
% 2.33/0.76 % (3238721)Instructions burned: 26 (million)
% 2.33/0.76 % (3238725)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.33/0.76 % (3238722)Instruction limit reached!
% 2.33/0.76 % (3238722)------------------------------
% 2.33/0.76 % (3238722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.76 % (3238722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.76 % (3238722)CaDiCaL version: 2.1.3
% 2.33/0.76 % (3238722)Termination reason: Instruction limit
% 2.33/0.76 % (3238722)Termination phase: Saturation
% 2.33/0.76 % (3238722)Time elapsed: 0.018 s
% 2.33/0.76 % (3238722)Peak memory usage: 11 MB
% 2.33/0.76 % (3238722)Instructions burned: 24 (million)
% 2.33/0.76 % (3238724)Instruction limit reached!
% 2.33/0.76 % (3238724)------------------------------
% 2.33/0.76 % (3238724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.76 % (3238724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.76 % (3238724)CaDiCaL version: 2.1.3
% 2.33/0.76 % (3238724)Termination reason: Instruction limit
% 2.33/0.76 % (3238724)Termination phase: Property scanning
% 2.33/0.76 % (3238724)Time elapsed: 0.013 s
% 2.33/0.76 % (3238724)Peak memory usage: 10 MB
% 2.33/0.76 % (3238724)Instructions burned: 15 (million)
% 2.33/0.76 % (3238725)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1659327323:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.33/0.76 % (3238723)Instruction limit reached!
% 2.33/0.76 % (3238723)------------------------------
% 2.33/0.76 % (3238723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.76 % (3238723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.76 % (3238723)CaDiCaL version: 2.1.3
% 2.33/0.76 % (3238723)Termination reason: Instruction limit
% 2.33/0.76 % (3238723)Termination phase: Saturation
% 2.33/0.76 % (3238723)Time elapsed: 0.035 s
% 2.33/0.76 % (3238723)Peak memory usage: 12 MB
% 2.33/0.76 % (3238723)Instructions burned: 60 (million)
% 2.33/0.76 % (3238725)Instruction limit reached!
% 2.33/0.76 % (3238725)------------------------------
% 2.33/0.76 % (3238725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.33/0.76 % (3238725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.33/0.76 % (3238725)CaDiCaL version: 2.1.3
% 2.33/0.76 % (3238725)Termination reason: Instruction limit
% 2.33/0.76 % (3238725)Termination phase: SInE selection
% 2.33/0.76 % (3238725)Time elapsed: 0.008 s
% 2.33/0.76 % (3238725)Peak memory usage: 10 MB
% 2.33/0.76 % (3238725)Instructions burned: 8 (million)
% 2.33/0.76 % (3238735)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1509364021:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.33/0.76 % (3238731)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=302839606:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.33/0.76 % (3238732)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3214430319:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.33/0.76 % (3238735)Instruction limit reached!
% 2.33/0.76 % (3238735)------------------------------
% 2.33/0.76 % (3238735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.83 % (3238735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.83 % (3238735)CaDiCaL version: 2.1.3
% 2.69/0.83 % (3238735)Termination reason: Instruction limit
% 2.69/0.83 % (3238735)Termination phase: Saturation
% 2.69/0.83 % (3238735)Time elapsed: 0.010 s
% 2.69/0.83 % (3238735)Peak memory usage: 12 MB
% 2.69/0.83 % (3238735)Instructions burned: 20 (million)
% 2.69/0.83 % (3238732)Instruction limit reached!
% 2.69/0.83 % (3238732)------------------------------
% 2.69/0.83 % (3238732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.83 % (3238732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.83 % (3238732)CaDiCaL version: 2.1.3
% 2.69/0.83 % (3238732)Termination reason: Instruction limit
% 2.69/0.83 % (3238732)Termination phase: Property scanning
% 2.69/0.83 % (3238732)Time elapsed: 0.003 s
% 2.69/0.83 % (3238732)Peak memory usage: 10 MB
% 2.69/0.83 % (3238732)Instructions burned: 8 (million)
% 2.69/0.83 % (3238733)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=4226083368:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.69/0.83 % (3238736)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1442805163:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.69/0.83 % (3238731)Instruction limit reached!
% 2.69/0.83 % (3238731)------------------------------
% 2.69/0.83 % (3238731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.83 % (3238731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.83 % (3238731)CaDiCaL version: 2.1.3
% 2.69/0.83 % (3238731)Termination reason: Instruction limit
% 2.69/0.83 % (3238731)Termination phase: Saturation
% 2.69/0.83 % (3238731)Time elapsed: 0.027 s
% 2.69/0.83 % (3238731)Peak memory usage: 12 MB
% 2.69/0.83 % (3238731)Instructions burned: 31 (million)
% 2.69/0.83 % (3238733)Instruction limit reached!
% 2.69/0.83 % (3238733)------------------------------
% 2.69/0.83 % (3238733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.83 % (3238733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.83 % (3238733)CaDiCaL version: 2.1.3
% 2.69/0.83 % (3238733)Termination reason: Instruction limit
% 2.69/0.83 % (3238733)Termination phase: Saturation
% 2.69/0.83 % (3238733)Time elapsed: 0.017 s
% 2.69/0.83 % (3238733)Peak memory usage: 11 MB
% 2.69/0.83 % (3238733)Instructions burned: 23 (million)
% 2.69/0.83 % (3238740)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=200212088:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.69/0.83 % (3238741)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1609869254:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.69/0.83 % (3238745)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.69/0.83 % (3238744)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3534981478:i=42:hud=10:rtra=on_2996 on theBenchmark for (2996ds/42Mi)
% 2.69/0.83 % (3238745)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2290612980:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2996 on theBenchmark for (2996ds/7Mi)
% 2.69/0.83 % (3238741)Refutation not found, incomplete strategy
% 2.69/0.83 % (3238741)------------------------------
% 2.69/0.83 % (3238741)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.83 % (3238741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.83 % (3238741)CaDiCaL version: 2.1.3
% 2.69/0.83 % (3238741)Termination reason: Refutation not found, incomplete strategy
% 2.69/0.83 % (3238741)Time elapsed: 0.026 s
% 2.69/0.83 % (3238741)Peak memory usage: 13 MB
% 2.69/0.83 % (3238741)Instructions burned: 66 (million)
% 2.69/0.83 % (3238741)------------------------------
% 2.69/0.83 % (3238741)------------------------------
% 2.69/0.83 % (3238745)Instruction limit reached!
% 2.69/0.83 % (3238745)------------------------------
% 2.69/0.83 % (3238745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.83 % (3238745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.83 % (3238745)CaDiCaL version: 2.1.3
% 2.69/0.83 % (3238745)Termination reason: Instruction limit
% 2.69/0.83 % (3238745)Termination phase: Property scanning
% 2.69/0.85 % (3238745)Time elapsed: 0.005 s
% 2.69/0.85 % (3238745)Peak memory usage: 10 MB
% 2.69/0.85 % (3238745)Instructions burned: 7 (million)
% 2.69/0.85 % (3238744)Instruction limit reached!
% 2.69/0.85 % (3238744)------------------------------
% 2.69/0.85 % (3238744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238744)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238744)Termination reason: Instruction limit
% 2.69/0.85 % (3238744)Termination phase: Saturation
% 2.69/0.85 % (3238744)Time elapsed: 0.030 s
% 2.69/0.85 % (3238744)Peak memory usage: 11 MB
% 2.69/0.85 % (3238744)Instructions burned: 42 (million)
% 2.69/0.85 % (3238714) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3238673-3238714"...
% 2.69/0.85 % (3238751)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=3501589635:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2996 on theBenchmark for (2996ds/169Mi)
% 2.69/0.85 % (3238750)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3921090539:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/181Mi)
% 2.69/0.85 % (3238740)Instruction limit reached!
% 2.69/0.85 % (3238740)------------------------------
% 2.69/0.85 % (3238740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238740)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238740)Termination reason: Instruction limit
% 2.69/0.85 % (3238740)Termination phase: Saturation
% 2.69/0.85 % (3238740)Time elapsed: 0.078 s
% 2.69/0.85 % (3238740)Peak memory usage: 12 MB
% 2.69/0.85 % (3238740)Instructions burned: 143 (million)
% 2.69/0.85 % (3238752)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.69/0.85 % (3238752)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2940806300:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.69/0.85 % (3238750)Refutation not found, incomplete strategy
% 2.69/0.85 % (3238750)------------------------------
% 2.69/0.85 % (3238750)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238750)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238750)Termination reason: Refutation not found, incomplete strategy
% 2.69/0.85 % (3238750)Time elapsed: 0.027 s
% 2.69/0.85 % (3238750)Peak memory usage: 13 MB
% 2.69/0.85 % (3238750)Instructions burned: 55 (million)
% 2.69/0.85 % (3238750)------------------------------
% 2.69/0.85 % (3238750)------------------------------
% 2.69/0.85 % (3238752)Instruction limit reached!
% 2.69/0.85 % (3238752)------------------------------
% 2.69/0.85 % (3238752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238752)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238752)Termination reason: Instruction limit
% 2.69/0.85 % (3238752)Termination phase: Property scanning
% 2.69/0.85 % (3238752)Time elapsed: 0.005 s
% 2.69/0.85 % (3238752)Peak memory usage: 9 MB
% 2.69/0.85 % (3238752)Instructions burned: 6 (million)
% 2.69/0.85 % (3238755)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=577695701:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.69/0.85 % (3238751)Instruction limit reached!
% 2.69/0.85 % (3238751)------------------------------
% 2.69/0.85 % (3238751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238751)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238751)Termination reason: Instruction limit
% 2.69/0.85 % (3238751)Termination phase: Saturation
% 2.69/0.85 % (3238751)Time elapsed: 0.064 s
% 2.69/0.85 % (3238751)Peak memory usage: 13 MB
% 2.69/0.85 % (3238751)Instructions burned: 172 (million)
% 2.69/0.85 % (3238736) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3238673-3238736"...
% 2.69/0.85 % (3238755)Instruction limit reached!
% 2.69/0.85 % (3238755)------------------------------
% 2.69/0.85 % (3238755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238755)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238755)Termination reason: Instruction limit
% 2.69/0.85 % (3238755)Termination phase: Saturation
% 2.69/0.85 % (3238755)Time elapsed: 0.041 s
% 2.69/0.85 % (3238755)Peak memory usage: 11 MB
% 2.69/0.85 % (3238755)Instructions burned: 23 (million)
% 2.69/0.85 % (3238757)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3875053137:i=19:add=on:rtra=on_2995 on theBenchmark for (2995ds/19Mi)
% 2.69/0.85 % (3238758)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=1071886101:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/316Mi)
% 2.69/0.85 % (3238757)Instruction limit reached!
% 2.69/0.85 % (3238757)------------------------------
% 2.69/0.85 % (3238757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238757)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238757)Termination reason: Instruction limit
% 2.69/0.85 % (3238757)Termination phase: Property scanning
% 2.69/0.85 % (3238757)Time elapsed: 0.008 s
% 2.69/0.85 % (3238757)Peak memory usage: 10 MB
% 2.69/0.85 % (3238757)Instructions burned: 20 (million)
% 2.69/0.85 % (3238760)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=1730042558:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2995 on theBenchmark for (2995ds/853Mi)
% 2.69/0.85 % (3238761)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2045062902:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2995 on theBenchmark for (2995ds/45Mi)
% 2.69/0.85 % (3238761)Instruction limit reached!
% 2.69/0.85 % (3238761)------------------------------
% 2.69/0.85 % (3238761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238761)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238761)Termination reason: Instruction limit
% 2.69/0.85 % (3238761)Termination phase: Saturation
% 2.69/0.85 % (3238761)Time elapsed: 0.019 s
% 2.69/0.85 % (3238761)Peak memory usage: 11 MB
% 2.69/0.85 % (3238761)Instructions burned: 46 (million)
% 2.69/0.85 % (3238764)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3928025748:i=480:rtra=on_2995 on theBenchmark for (2995ds/480Mi)
% 2.69/0.85 % (3238764)Refutation not found, incomplete strategy
% 2.69/0.85 % (3238764)------------------------------
% 2.69/0.85 % (3238764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238764)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238764)Termination reason: Refutation not found, incomplete strategy
% 2.69/0.85 % (3238764)Time elapsed: 0.009 s
% 2.69/0.85 % (3238764)Peak memory usage: 12 MB
% 2.69/0.85 % (3238764)Instructions burned: 19 (million)
% 2.69/0.85 % (3238764)------------------------------
% 2.69/0.85 % (3238764)------------------------------
% 2.69/0.85 % (3238681)Instruction limit reached!
% 2.69/0.85 % (3238681)------------------------------
% 2.69/0.85 % (3238681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238681)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238681)Termination reason: Instruction limit
% 2.69/0.85 % (3238681)Termination phase: Saturation
% 2.69/0.85 % (3238681)Time elapsed: 0.489 s
% 2.69/0.85 % (3238681)Peak memory usage: 16 MB
% 2.69/0.85 % (3238681)Instructions burned: 635 (million)
% 2.69/0.85 % (3238767)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=4154098837:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2994 on theBenchmark for (2994ds/21Mi)
% 2.69/0.85 % (3238767)Instruction limit reached!
% 2.69/0.85 % (3238767)------------------------------
% 2.69/0.85 % (3238767)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.85 % (3238767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.85 % (3238767)CaDiCaL version: 2.1.3
% 2.69/0.85 % (3238767)Termination reason: Instruction limit
% 2.69/0.85 % (3238767)Termination phase: Saturation
% 2.69/0.85 % (3238767)Time elapsed: 0.010 s
% 2.69/0.85 % (3238767)Peak memory usage: 11 MB
% 2.69/0.85 % (3238767)Instructions burned: 23 (million)
% 2.69/0.85 % (3238769)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.69/0.85 % (3238770)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=395081868:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2994 on theBenchmark for (2994ds/13Mi)
% 2.69/0.85 % (3238769)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3292019679:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/200Mi)
% 2.69/0.85 % (3238736)...printing done.
% 2.69/0.85 % (3238736)Refutation found. Thanks to Tanya!
% 2.69/0.85 % SZS status Theorem for theBenchmark
% 2.69/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/0.86 % (3238736)------------------------------
% 2.69/0.86 % (3238736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.86 % (3238736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.86 % (3238736)CaDiCaL version: 2.1.3
% 2.69/0.86 % (3238736)Termination reason: Refutation
% 2.69/0.86 % (3238736)Time elapsed: 0.249 s
% 2.69/0.86 % (3238736)Peak memory usage: 14 MB
% 2.69/0.86 % (3238736)Instructions burned: 397 (million)
% 2.69/0.86 % (3238673)Success in time 0.564 s
% 2.69/0.86 % Vampire exiting
%------------------------------------------------------------------------------