TSTP Solution File: NLP001^7 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NLP001^7 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 05:14:30 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_mu,type,
mu: $tType ).
thf(ty_eigen__6,type,
eigen__6: mu ).
thf(ty_eigen__2,type,
eigen__2: mu ).
thf(ty_eigen__7,type,
eigen__7: mu ).
thf(ty_eigen__1,type,
eigen__1: mu ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_lonely,type,
lonely: mu > $i > $o ).
thf(ty_eigen__4,type,
eigen__4: mu ).
thf(ty_hollywood,type,
hollywood: mu > $i > $o ).
thf(ty_eigen__5,type,
eigen__5: mu ).
thf(ty_street,type,
street: mu > $i > $o ).
thf(ty_old,type,
old: mu > $i > $o ).
thf(ty_eigen__3,type,
eigen__3: mu ).
thf(ty_dirty,type,
dirty: mu > $i > $o ).
thf(ty_barrel,type,
barrel: mu > mu > $i > $o ).
thf(ty_event,type,
event: mu > $i > $o ).
thf(ty_eigen__8,type,
eigen__8: mu ).
thf(ty_chevy,type,
chevy: mu > $i > $o ).
thf(ty_exists_in_world,type,
exists_in_world: mu > $i > $o ).
thf(ty_down,type,
down: mu > mu > $i > $o ).
thf(ty_city,type,
city: mu > $i > $o ).
thf(ty_white,type,
white: mu > $i > $o ).
thf(ty_in,type,
in: mu > mu > $i > $o ).
thf(ty_way,type,
way: mu > $i > $o ).
thf(ty_car,type,
car: mu > $i > $o ).
thf(sP1,plain,
( sP1
<=> ( in @ eigen__2 @ eigen__1 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( exists_in_world @ eigen__1 @ eigen__0 )
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ( ( hollywood @ eigen__1 @ eigen__0 )
=> ( ( city @ eigen__1 @ eigen__0 )
=> ( ( event @ X1 @ eigen__0 )
=> ( ( chevy @ X2 @ eigen__0 )
=> ( ( car @ X2 @ eigen__0 )
=> ( ( white @ X2 @ eigen__0 )
=> ( ( dirty @ X2 @ eigen__0 )
=> ( ( old @ X2 @ eigen__0 )
=> ( ( street @ X3 @ eigen__0 )
=> ( ( way @ X3 @ eigen__0 )
=> ( ( lonely @ X3 @ eigen__0 )
=> ( ( barrel @ X1 @ X2 @ eigen__0 )
=> ( ( down @ X1 @ X3 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__1 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( old @ eigen__4 @ eigen__0 )
=> ( ( street @ eigen__3 @ eigen__0 )
=> ( ( way @ eigen__3 @ eigen__0 )
=> ( ( lonely @ eigen__3 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ eigen__4 @ eigen__0 )
=> ( ( down @ eigen__2 @ eigen__3 @ eigen__0 )
=> ~ sP1 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( city @ eigen__1 @ eigen__0 )
=> ( ( event @ eigen__2 @ eigen__0 )
=> ( ( chevy @ eigen__4 @ eigen__0 )
=> ( ( car @ eigen__4 @ eigen__0 )
=> ( ( white @ eigen__4 @ eigen__0 )
=> ( ( dirty @ eigen__4 @ eigen__0 )
=> sP3 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( white @ eigen__4 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( exists_in_world @ eigen__4 @ eigen__0 )
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( ( hollywood @ eigen__1 @ eigen__0 )
=> ( ( city @ eigen__1 @ eigen__0 )
=> ( ( event @ eigen__2 @ eigen__0 )
=> ( ( chevy @ eigen__4 @ eigen__0 )
=> ( ( car @ eigen__4 @ eigen__0 )
=> ( sP5
=> ( ( dirty @ eigen__4 @ eigen__0 )
=> ( ( old @ eigen__4 @ eigen__0 )
=> ( ( street @ X1 @ eigen__0 )
=> ( ( way @ X1 @ eigen__0 )
=> ( ( lonely @ X1 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ eigen__4 @ eigen__0 )
=> ( ( down @ eigen__2 @ X1 @ eigen__0 )
=> ~ sP1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( down @ eigen__6 @ eigen__8 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( lonely @ eigen__3 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ( ( hollywood @ eigen__1 @ eigen__0 )
=> ( ( city @ eigen__1 @ eigen__0 )
=> ( ( event @ X1 @ eigen__0 )
=> ( ( chevy @ X2 @ eigen__0 )
=> ( ( car @ X2 @ eigen__0 )
=> ( ( white @ X2 @ eigen__0 )
=> ( ( dirty @ X2 @ eigen__0 )
=> ( ( old @ X2 @ eigen__0 )
=> ( ( street @ X3 @ eigen__0 )
=> ( ( way @ X3 @ eigen__0 )
=> ( ( lonely @ X3 @ eigen__0 )
=> ( ( barrel @ X1 @ X2 @ eigen__0 )
=> ( ( down @ X1 @ X3 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__1 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( ( hollywood @ eigen__5 @ eigen__0 )
=> ( ( city @ eigen__5 @ eigen__0 )
=> ( ( event @ eigen__6 @ eigen__0 )
=> ( ( street @ X1 @ eigen__0 )
=> ( ( way @ X1 @ eigen__0 )
=> ( ( lonely @ X1 @ eigen__0 )
=> ( ( chevy @ X2 @ eigen__0 )
=> ( ( car @ X2 @ eigen__0 )
=> ( ( white @ X2 @ eigen__0 )
=> ( ( dirty @ X2 @ eigen__0 )
=> ( ( old @ X2 @ eigen__0 )
=> ( ( barrel @ eigen__6 @ X2 @ eigen__0 )
=> ( ( down @ eigen__6 @ X1 @ eigen__0 )
=> ~ ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( exists_in_world @ eigen__2 @ eigen__0 )
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( ( hollywood @ eigen__1 @ eigen__0 )
=> ( ( city @ eigen__1 @ eigen__0 )
=> ( ( event @ eigen__2 @ eigen__0 )
=> ( ( chevy @ X1 @ eigen__0 )
=> ( ( car @ X1 @ eigen__0 )
=> ( ( white @ X1 @ eigen__0 )
=> ( ( dirty @ X1 @ eigen__0 )
=> ( ( old @ X1 @ eigen__0 )
=> ( ( street @ X2 @ eigen__0 )
=> ( ( way @ X2 @ eigen__0 )
=> ( ( lonely @ X2 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ X1 @ eigen__0 )
=> ( ( down @ eigen__2 @ X2 @ eigen__0 )
=> ~ sP1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( chevy @ eigen__4 @ eigen__0 )
=> ( ( car @ eigen__4 @ eigen__0 )
=> ( sP5
=> ( ( dirty @ eigen__4 @ eigen__0 )
=> sP3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ( exists_in_world @ eigen__3 @ eigen__0 )
=> ( ( hollywood @ eigen__1 @ eigen__0 )
=> sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( exists_in_world @ eigen__8 @ eigen__0 )
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( ( hollywood @ eigen__5 @ eigen__0 )
=> ( ( city @ eigen__5 @ eigen__0 )
=> ( ( event @ eigen__6 @ eigen__0 )
=> ( ( street @ eigen__8 @ eigen__0 )
=> ( ( way @ eigen__8 @ eigen__0 )
=> ( ( lonely @ eigen__8 @ eigen__0 )
=> ( ( chevy @ X1 @ eigen__0 )
=> ( ( car @ X1 @ eigen__0 )
=> ( ( white @ X1 @ eigen__0 )
=> ( ( dirty @ X1 @ eigen__0 )
=> ( ( old @ X1 @ eigen__0 )
=> ( ( barrel @ eigen__6 @ X1 @ eigen__0 )
=> ( sP7
=> ~ ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( old @ eigen__4 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ eigen__0 )
=> ( ( hollywood @ X1 @ eigen__0 )
=> ( ( city @ X1 @ eigen__0 )
=> ( ( event @ X2 @ eigen__0 )
=> ( ( street @ X3 @ eigen__0 )
=> ( ( way @ X3 @ eigen__0 )
=> ( ( lonely @ X3 @ eigen__0 )
=> ( ( chevy @ X4 @ eigen__0 )
=> ( ( car @ X4 @ eigen__0 )
=> ( ( white @ X4 @ eigen__0 )
=> ( ( dirty @ X4 @ eigen__0 )
=> ( ( old @ X4 @ eigen__0 )
=> ( ( barrel @ X2 @ X4 @ eigen__0 )
=> ( ( down @ X2 @ X3 @ eigen__0 )
=> ~ ( in @ X2 @ X1 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( barrel @ eigen__6 @ eigen__7 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( white @ eigen__7 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( street @ eigen__3 @ eigen__0 )
=> ( ( way @ eigen__3 @ eigen__0 )
=> ( sP8
=> ( ( barrel @ eigen__2 @ eigen__4 @ eigen__0 )
=> ( ( down @ eigen__2 @ eigen__3 @ eigen__0 )
=> ~ sP1 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( lonely @ eigen__8 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ( exists_in_world @ eigen__7 @ eigen__0 )
=> ( ( hollywood @ eigen__5 @ eigen__0 )
=> ( ( city @ eigen__5 @ eigen__0 )
=> ( ( event @ eigen__6 @ eigen__0 )
=> ( ( street @ eigen__8 @ eigen__0 )
=> ( ( way @ eigen__8 @ eigen__0 )
=> ( sP20
=> ( ( chevy @ eigen__7 @ eigen__0 )
=> ( ( car @ eigen__7 @ eigen__0 )
=> ( sP18
=> ( ( dirty @ eigen__7 @ eigen__0 )
=> ( ( old @ eigen__7 @ eigen__0 )
=> ( sP17
=> ( sP7
=> ~ ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ( event @ eigen__2 @ eigen__0 )
=> sP12 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( hollywood @ eigen__5 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( sP23
=> ( ( city @ eigen__5 @ eigen__0 )
=> ( ( event @ eigen__6 @ eigen__0 )
=> ( ( street @ eigen__8 @ eigen__0 )
=> ( ( way @ eigen__8 @ eigen__0 )
=> ( sP20
=> ( ( chevy @ X1 @ eigen__0 )
=> ( ( car @ X1 @ eigen__0 )
=> ( ( white @ X1 @ eigen__0 )
=> ( ( dirty @ X1 @ eigen__0 )
=> ( ( old @ X1 @ eigen__0 )
=> ( ( barrel @ eigen__6 @ X1 @ eigen__0 )
=> ( sP7
=> ~ ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( exists_in_world @ eigen__6 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( ( hollywood @ eigen__1 @ eigen__0 )
=> ( ( city @ eigen__1 @ eigen__0 )
=> ( ( event @ eigen__2 @ eigen__0 )
=> ( ( chevy @ eigen__4 @ eigen__0 )
=> ( ( car @ eigen__4 @ eigen__0 )
=> ( sP5
=> ( ( dirty @ eigen__4 @ eigen__0 )
=> ( sP15
=> ( ( street @ X1 @ eigen__0 )
=> ( ( way @ X1 @ eigen__0 )
=> ( ( lonely @ X1 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ eigen__4 @ eigen__0 )
=> ( ( down @ eigen__2 @ X1 @ eigen__0 )
=> ~ sP1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( ( way @ eigen__3 @ eigen__0 )
=> ( sP8
=> ( ( barrel @ eigen__2 @ eigen__4 @ eigen__0 )
=> ( ( down @ eigen__2 @ eigen__3 @ eigen__0 )
=> ~ sP1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( sP25
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( dirty @ eigen__4 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( exists_in_world @ eigen__8 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( exists_in_world @ eigen__7 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ( city @ eigen__5 @ eigen__0 )
=> ( ( event @ eigen__6 @ eigen__0 )
=> ( ( street @ eigen__8 @ eigen__0 )
=> ( ( way @ eigen__8 @ eigen__0 )
=> ( sP20
=> ( ( chevy @ eigen__7 @ eigen__0 )
=> ( ( car @ eigen__7 @ eigen__0 )
=> ( sP18
=> ( ( dirty @ eigen__7 @ eigen__0 )
=> ( ( old @ eigen__7 @ eigen__0 )
=> ( sP17
=> ( sP7
=> ~ ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( chevy @ eigen__7 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ( sP23
=> ( ( city @ eigen__5 @ eigen__0 )
=> ( ( event @ X1 @ eigen__0 )
=> ( ( street @ X2 @ eigen__0 )
=> ( ( way @ X2 @ eigen__0 )
=> ( ( lonely @ X2 @ eigen__0 )
=> ( ( chevy @ X3 @ eigen__0 )
=> ( ( car @ X3 @ eigen__0 )
=> ( ( white @ X3 @ eigen__0 )
=> ( ( dirty @ X3 @ eigen__0 )
=> ( ( old @ X3 @ eigen__0 )
=> ( ( barrel @ X1 @ X3 @ eigen__0 )
=> ( ( down @ X1 @ X2 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( ( hollywood @ eigen__1 @ eigen__0 )
=> ( ( city @ eigen__1 @ eigen__0 )
=> ( ( event @ eigen__2 @ eigen__0 )
=> ( ( chevy @ X1 @ eigen__0 )
=> ( ( car @ X1 @ eigen__0 )
=> ( ( white @ X1 @ eigen__0 )
=> ( ( dirty @ X1 @ eigen__0 )
=> ( ( old @ X1 @ eigen__0 )
=> ( ( street @ X2 @ eigen__0 )
=> ( ( way @ X2 @ eigen__0 )
=> ( ( lonely @ X2 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ X1 @ eigen__0 )
=> ( ( down @ eigen__2 @ X2 @ eigen__0 )
=> ~ sP1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( exists_in_world @ eigen__3 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( ( car @ eigen__4 @ eigen__0 )
=> ( sP5
=> ( sP29
=> sP3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( exists_in_world @ eigen__1 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( old @ eigen__7 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( ( way @ eigen__8 @ eigen__0 )
=> ( sP20
=> ( sP33
=> ( ( car @ eigen__7 @ eigen__0 )
=> ( sP18
=> ( ( dirty @ eigen__7 @ eigen__0 )
=> ( sP39
=> ( sP17
=> ( sP7
=> ~ ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( event @ eigen__2 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( chevy @ eigen__4 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( way @ eigen__3 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( sP33
=> ( ( car @ eigen__7 @ eigen__0 )
=> ( sP18
=> ( ( dirty @ eigen__7 @ eigen__0 )
=> ( sP39
=> ( sP17
=> ( sP7
=> ~ ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( sP8
=> ( ( barrel @ eigen__2 @ eigen__4 @ eigen__0 )
=> ( ( down @ eigen__2 @ eigen__3 @ eigen__0 )
=> ~ sP1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( city @ eigen__5 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( ( hollywood @ eigen__1 @ eigen__0 )
=> sP4 ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ( ( event @ eigen__6 @ eigen__0 )
=> ( ( street @ eigen__8 @ eigen__0 )
=> sP40 ) ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( ( down @ eigen__2 @ eigen__3 @ eigen__0 )
=> ~ sP1 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ( exists_in_world @ eigen__4 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( down @ eigen__2 @ eigen__3 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( sP7
=> ~ ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ eigen__0 )
=> ( ( hollywood @ X1 @ eigen__0 )
=> ( ( city @ X1 @ eigen__0 )
=> ( ( event @ X2 @ eigen__0 )
=> ( ( chevy @ X3 @ eigen__0 )
=> ( ( car @ X3 @ eigen__0 )
=> ( ( white @ X3 @ eigen__0 )
=> ( ( dirty @ X3 @ eigen__0 )
=> ( ( old @ X3 @ eigen__0 )
=> ( ( street @ X4 @ eigen__0 )
=> ( ( way @ X4 @ eigen__0 )
=> ( ( lonely @ X4 @ eigen__0 )
=> ( ( barrel @ X2 @ X3 @ eigen__0 )
=> ( ( down @ X2 @ X4 @ eigen__0 )
=> ~ ( in @ X2 @ X1 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( ( exists_in_world @ eigen__5 @ eigen__0 )
=> sP34 ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ( in @ eigen__6 @ eigen__5 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( car @ eigen__7 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( car @ eigen__4 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( sP39
=> ( sP17
=> sP52 ) ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( street @ eigen__3 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ( sP5
=> ( sP29
=> sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( event @ eigen__6 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( sP17
=> sP52 ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ( hollywood @ eigen__1 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( sP23
=> sP32 ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ( city @ eigen__1 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ( ( dirty @ eigen__7 @ eigen__0 )
=> sP58 ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ( sP20
=> sP44 ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ( sP18
=> sP66 ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ( exists_in_world @ eigen__5 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( sP29
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ( barrel @ eigen__2 @ eigen__4 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ( dirty @ eigen__7 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ( way @ eigen__8 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ( sP71
=> sP49 ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( sP56
=> sP68 ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( street @ eigen__8 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(sP77,plain,
( sP77
<=> ( sP76
=> sP40 ) ),
introduced(definition,[new_symbols(definition,[sP77])]) ).
thf(sP78,plain,
( sP78
<=> ( exists_in_world @ eigen__2 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP78])]) ).
thf(def_meq_prop,definition,
( meq_prop
= ( ^ [X1: $i > $o,X2: $i > $o,X3: $i] :
( ( X1 @ X3 )
= ( X2 @ X3 ) ) ) ) ).
thf(def_mnot,definition,
( mnot
= ( ^ [X1: $i > $o,X2: $i] :
~ ( X1 @ X2 ) ) ) ).
thf(def_mor,definition,
( mor
= ( ^ [X1: $i > $o,X2: $i > $o,X3: $i] :
( ~ ( X1 @ X3 )
=> ( X2 @ X3 ) ) ) ) ).
thf(def_mbox,definition,
( mbox
= ( ^ [X1: $i > $i > $o,X2: $i > $o,X3: $i] :
! [X4: $i] :
( ( X1 @ X3 @ X4 )
=> ( X2 @ X4 ) ) ) ) ).
thf(def_mforall_prop,definition,
( mforall_prop
= ( ^ [X1: ( $i > $o ) > $i > $o,X2: $i] :
! [X3: $i > $o] : ( X1 @ X3 @ X2 ) ) ) ).
thf(def_mtrue,definition,
( mtrue
= ( ^ [X1: $i] : ~ $false ) ) ).
thf(def_mfalse,definition,
( mfalse
= ( mnot @ mtrue ) ) ).
thf(def_mand,definition,
( mand
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mnot @ ( mor @ ( mnot @ X1 ) @ ( mnot @ X2 ) ) ) ) ) ).
thf(def_mimplies,definition,
( mimplies
= ( ^ [X1: $i > $o] : ( mor @ ( mnot @ X1 ) ) ) ) ).
thf(def_mimplied,definition,
( mimplied
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mor @ ( mnot @ X2 ) @ X1 ) ) ) ).
thf(def_mequiv,definition,
( mequiv
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mand @ ( mimplies @ X1 @ X2 ) @ ( mimplies @ X2 @ X1 ) ) ) ) ).
thf(def_mxor,definition,
( mxor
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mnot @ ( mequiv @ X1 @ X2 ) ) ) ) ).
thf(def_mdia,definition,
( mdia
= ( ^ [X1: $i > $i > $o,X2: $i > $o] : ( mnot @ ( mbox @ X1 @ ( mnot @ X2 ) ) ) ) ) ).
thf(def_mforall_ind,definition,
( mforall_ind
= ( ^ [X1: mu > $i > $o,X2: $i] :
! [X3: mu] :
( ( exists_in_world @ X3 @ X2 )
=> ( X1 @ X3 @ X2 ) ) ) ) ).
thf(def_mexists_ind,definition,
( mexists_ind
= ( ^ [X1: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [X2: mu] : ( mnot @ ( X1 @ X2 ) ) ) ) ) ) ).
thf(def_mexists_prop,definition,
( mexists_prop
= ( ^ [X1: ( $i > $o ) > $i > $o] :
( mnot
@ ( mforall_prop
@ ^ [X2: $i > $o] : ( mnot @ ( X1 @ X2 ) ) ) ) ) ) ).
thf(def_mreflexive,definition,
( mreflexive
= ( ^ [X1: $i > $i > $o] :
! [X2: $i] : ( X1 @ X2 @ X2 ) ) ) ).
thf(def_msymmetric,definition,
( msymmetric
= ( ^ [X1: $i > $i > $o] :
! [X2: $i,X3: $i] :
( ( X1 @ X2 @ X3 )
=> ( X1 @ X3 @ X2 ) ) ) ) ).
thf(def_mserial,definition,
( mserial
= ( ^ [X1: $i > $i > $o] :
! [X2: $i] :
~ ! [X3: $i] :
~ ( X1 @ X2 @ X3 ) ) ) ).
thf(def_mtransitive,definition,
( mtransitive
= ( ^ [X1: $i > $i > $o] :
! [X2: $i,X3: $i,X4: $i] :
( ~ ( ( X1 @ X2 @ X3 )
=> ~ ( X1 @ X3 @ X4 ) )
=> ( X1 @ X2 @ X4 ) ) ) ) ).
thf(def_meuclidean,definition,
( meuclidean
= ( ^ [X1: $i > $i > $o] :
! [X2: $i,X3: $i,X4: $i] :
( ~ ( ( X1 @ X2 @ X3 )
=> ~ ( X1 @ X2 @ X4 ) )
=> ( X1 @ X3 @ X4 ) ) ) ) ).
thf(def_mpartially_functional,definition,
( mpartially_functional
= ( ^ [X1: $i > $i > $o] :
! [X2: $i,X3: $i,X4: $i] :
( ~ ( ( X1 @ X2 @ X3 )
=> ~ ( X1 @ X2 @ X4 ) )
=> ( X3 = X4 ) ) ) ) ).
thf(def_mfunctional,definition,
( mfunctional
= ( ^ [X1: $i > $i > $o] :
! [X2: $i] :
~ ! [X3: $i] :
( ( X1 @ X2 @ X3 )
=> ~ ! [X4: $i] :
( ( X1 @ X2 @ X4 )
=> ( X3 = X4 ) ) ) ) ) ).
thf(def_mweakly_dense,definition,
( mweakly_dense
= ( ^ [X1: $i > $i > $o] :
! [X2: $i,X3: $i,X4: $i] :
( ( X1 @ X2 @ X3 )
=> ~ ! [X5: $i] :
( ( X1 @ X2 @ X5 )
=> ~ ( X1 @ X5 @ X3 ) ) ) ) ) ).
thf(def_mweakly_connected,definition,
( mweakly_connected
= ( ^ [X1: $i > $i > $o] :
! [X2: $i,X3: $i,X4: $i] :
( ~ ( ( X1 @ X2 @ X3 )
=> ~ ( X1 @ X2 @ X4 ) )
=> ( ~ ( ~ ( X1 @ X3 @ X4 )
=> ( X3 = X4 ) )
=> ( X1 @ X4 @ X3 ) ) ) ) ) ).
thf(def_mweakly_directed,definition,
( mweakly_directed
= ( ^ [X1: $i > $i > $o] :
! [X2: $i,X3: $i,X4: $i] :
( ~ ( ( X1 @ X2 @ X3 )
=> ~ ( X1 @ X2 @ X4 ) )
=> ~ ! [X5: $i] :
( ( X1 @ X3 @ X5 )
=> ~ ( X1 @ X4 @ X5 ) ) ) ) ) ).
thf(def_mvalid,definition,
mvalid = !! ).
thf(def_msatisfiable,definition,
( msatisfiable
= ( ^ [X1: $i > $o] :
~ ! [X2: $i] :
~ ( X1 @ X2 ) ) ) ).
thf(def_mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [X1: $i > $o] :
~ ( !! @ X1 ) ) ) ).
thf(def_minvalid,definition,
( minvalid
= ( ^ [X1: $i > $o] :
! [X2: $i] :
~ ( X1 @ X2 ) ) ) ).
thf(def_mbox_s4,definition,
( mbox_s4
= ( ^ [X1: $i > $o,X2: $i] :
! [X3: $i] :
( ( rel_s4 @ X2 @ X3 )
=> ( X1 @ X3 ) ) ) ) ).
thf(def_mdia_s4,definition,
( mdia_s4
= ( ^ [X1: $i > $o] : ( mnot @ ( mbox_s4 @ ( mnot @ X1 ) ) ) ) ) ).
thf(co1,conjecture,
! [X1: $i] :
~ ( ~ ~ ( ~ ~ ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ~ ~ ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ~ ~ ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ~ ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( hollywood @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( city @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( event @ X3 @ X1 )
=> ~ ~ ( ~ ~ ( street @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( way @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( lonely @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( chevy @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( car @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( white @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( dirty @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( old @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( barrel @ X3 @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( down @ X3 @ X4 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ~ ~ ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ~ ~ ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ~ ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( hollywood @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( city @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( event @ X3 @ X1 )
=> ~ ~ ( ~ ~ ( chevy @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( car @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( white @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( dirty @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( old @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( street @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( way @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( lonely @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( barrel @ X3 @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( down @ X3 @ X5 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ( ~ ~ ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ~ ~ ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ~ ~ ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ~ ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( hollywood @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( city @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( event @ X3 @ X1 )
=> ~ ~ ( ~ ~ ( chevy @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( car @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( white @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( dirty @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( old @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( street @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( way @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( lonely @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( barrel @ X3 @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( down @ X3 @ X5 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ~ ~ ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ~ ~ ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ~ ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( hollywood @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( city @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( event @ X3 @ X1 )
=> ~ ~ ( ~ ~ ( street @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( way @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( lonely @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( chevy @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( car @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( white @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( dirty @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( old @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( barrel @ X3 @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( down @ X3 @ X4 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $i] :
~ ( ( ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ( ( hollywood @ X2 @ X1 )
=> ( ( city @ X2 @ X1 )
=> ( ( event @ X3 @ X1 )
=> ( ( street @ X4 @ X1 )
=> ( ( way @ X4 @ X1 )
=> ( ( lonely @ X4 @ X1 )
=> ( ( chevy @ X5 @ X1 )
=> ( ( car @ X5 @ X1 )
=> ( ( white @ X5 @ X1 )
=> ( ( dirty @ X5 @ X1 )
=> ( ( old @ X5 @ X1 )
=> ( ( barrel @ X3 @ X5 @ X1 )
=> ( ( down @ X3 @ X4 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ( ( hollywood @ X2 @ X1 )
=> ( ( city @ X2 @ X1 )
=> ( ( event @ X3 @ X1 )
=> ( ( chevy @ X4 @ X1 )
=> ( ( car @ X4 @ X1 )
=> ( ( white @ X4 @ X1 )
=> ( ( dirty @ X4 @ X1 )
=> ( ( old @ X4 @ X1 )
=> ( ( street @ X5 @ X1 )
=> ( ( way @ X5 @ X1 )
=> ( ( lonely @ X5 @ X1 )
=> ( ( barrel @ X3 @ X4 @ X1 )
=> ( ( down @ X3 @ X5 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ( ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ( ( hollywood @ X2 @ X1 )
=> ( ( city @ X2 @ X1 )
=> ( ( event @ X3 @ X1 )
=> ( ( chevy @ X4 @ X1 )
=> ( ( car @ X4 @ X1 )
=> ( ( white @ X4 @ X1 )
=> ( ( dirty @ X4 @ X1 )
=> ( ( old @ X4 @ X1 )
=> ( ( street @ X5 @ X1 )
=> ( ( way @ X5 @ X1 )
=> ( ( lonely @ X5 @ X1 )
=> ( ( barrel @ X3 @ X4 @ X1 )
=> ( ( down @ X3 @ X5 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ( ( hollywood @ X2 @ X1 )
=> ( ( city @ X2 @ X1 )
=> ( ( event @ X3 @ X1 )
=> ( ( street @ X4 @ X1 )
=> ( ( way @ X4 @ X1 )
=> ( ( lonely @ X4 @ X1 )
=> ( ( chevy @ X5 @ X1 )
=> ( ( car @ X5 @ X1 )
=> ( ( white @ X5 @ X1 )
=> ( ( dirty @ X5 @ X1 )
=> ( ( old @ X5 @ X1 )
=> ( ( barrel @ X3 @ X5 @ X1 )
=> ( ( down @ X3 @ X4 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
thf(h1,assumption,
( ( ~ sP16
=> ~ sP53 )
=> ~ ( ~ sP53
=> ~ sP16 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( ~ sP16
=> ~ sP53 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ~ sP53
=> ~ sP16 ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP16,
introduced(assumption,[]) ).
thf(h5,assumption,
sP53,
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( sP38
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ( sP63
=> ( sP65
=> ( ( event @ X1 @ eigen__0 )
=> ( ( street @ X2 @ eigen__0 )
=> ( ( way @ X2 @ eigen__0 )
=> ( ( lonely @ X2 @ eigen__0 )
=> ( ( chevy @ X3 @ eigen__0 )
=> ( ( car @ X3 @ eigen__0 )
=> ( ( white @ X3 @ eigen__0 )
=> ( ( dirty @ X3 @ eigen__0 )
=> ( ( old @ X3 @ eigen__0 )
=> ( ( barrel @ X1 @ X3 @ eigen__0 )
=> ( ( down @ X1 @ X2 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__1 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
sP38,
introduced(assumption,[]) ).
thf(h8,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ( sP63
=> ( sP65
=> ( ( event @ X1 @ eigen__0 )
=> ( ( street @ X2 @ eigen__0 )
=> ( ( way @ X2 @ eigen__0 )
=> ( ( lonely @ X2 @ eigen__0 )
=> ( ( chevy @ X3 @ eigen__0 )
=> ( ( car @ X3 @ eigen__0 )
=> ( ( white @ X3 @ eigen__0 )
=> ( ( dirty @ X3 @ eigen__0 )
=> ( ( old @ X3 @ eigen__0 )
=> ( ( barrel @ X1 @ X3 @ eigen__0 )
=> ( ( down @ X1 @ X2 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__1 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( sP78
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( sP63
=> ( sP65
=> ( sP41
=> ( ( street @ X1 @ eigen__0 )
=> ( ( way @ X1 @ eigen__0 )
=> ( ( lonely @ X1 @ eigen__0 )
=> ( ( chevy @ X2 @ eigen__0 )
=> ( ( car @ X2 @ eigen__0 )
=> ( ( white @ X2 @ eigen__0 )
=> ( ( dirty @ X2 @ eigen__0 )
=> ( ( old @ X2 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ X2 @ eigen__0 )
=> ( ( down @ eigen__2 @ X1 @ eigen__0 )
=> ~ sP1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP78,
introduced(assumption,[]) ).
thf(h11,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( sP63
=> ( sP65
=> ( sP41
=> ( ( street @ X1 @ eigen__0 )
=> ( ( way @ X1 @ eigen__0 )
=> ( ( lonely @ X1 @ eigen__0 )
=> ( ( chevy @ X2 @ eigen__0 )
=> ( ( car @ X2 @ eigen__0 )
=> ( ( white @ X2 @ eigen__0 )
=> ( ( dirty @ X2 @ eigen__0 )
=> ( ( old @ X2 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ X2 @ eigen__0 )
=> ( ( down @ eigen__2 @ X1 @ eigen__0 )
=> ~ sP1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( sP36
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( sP63
=> ( sP65
=> ( sP41
=> ( sP59
=> ( sP43
=> ( sP8
=> ( ( chevy @ X1 @ eigen__0 )
=> ( ( car @ X1 @ eigen__0 )
=> ( ( white @ X1 @ eigen__0 )
=> ( ( dirty @ X1 @ eigen__0 )
=> ( ( old @ X1 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ X1 @ eigen__0 )
=> sP49 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h13,assumption,
sP36,
introduced(assumption,[]) ).
thf(h14,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( sP63
=> ( sP65
=> ( sP41
=> ( sP59
=> ( sP43
=> ( sP8
=> ( ( chevy @ X1 @ eigen__0 )
=> ( ( car @ X1 @ eigen__0 )
=> ( ( white @ X1 @ eigen__0 )
=> ( ( dirty @ X1 @ eigen__0 )
=> ( ( old @ X1 @ eigen__0 )
=> ( ( barrel @ eigen__2 @ X1 @ eigen__0 )
=> sP49 ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h15,assumption,
~ ( sP50
=> ( sP63
=> ( sP65
=> ( sP41
=> ( sP59
=> ( sP43
=> ( sP8
=> ( sP42
=> ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h16,assumption,
sP50,
introduced(assumption,[]) ).
thf(h17,assumption,
~ ( sP63
=> ( sP65
=> ( sP41
=> ( sP59
=> ( sP43
=> ( sP8
=> ( sP42
=> ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h18,assumption,
sP63,
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( sP65
=> ( sP41
=> ( sP59
=> ( sP43
=> ( sP8
=> ( sP42
=> ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h20,assumption,
sP65,
introduced(assumption,[]) ).
thf(h21,assumption,
~ ( sP41
=> ( sP59
=> ( sP43
=> ( sP8
=> ( sP42
=> ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h22,assumption,
sP41,
introduced(assumption,[]) ).
thf(h23,assumption,
~ ( sP59
=> ( sP43
=> ( sP8
=> ( sP42
=> ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h24,assumption,
sP59,
introduced(assumption,[]) ).
thf(h25,assumption,
~ ( sP43
=> ( sP8
=> ( sP42
=> ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h26,assumption,
sP43,
introduced(assumption,[]) ).
thf(h27,assumption,
~ ( sP8
=> ( sP42
=> ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h28,assumption,
sP8,
introduced(assumption,[]) ).
thf(h29,assumption,
~ ( sP42
=> ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h30,assumption,
sP42,
introduced(assumption,[]) ).
thf(h31,assumption,
~ ( sP57
=> ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ) ),
introduced(assumption,[]) ).
thf(h32,assumption,
sP57,
introduced(assumption,[]) ).
thf(h33,assumption,
~ ( sP5
=> ( sP29
=> ( sP15
=> sP74 ) ) ),
introduced(assumption,[]) ).
thf(h34,assumption,
sP5,
introduced(assumption,[]) ).
thf(h35,assumption,
~ ( sP29
=> ( sP15
=> sP74 ) ),
introduced(assumption,[]) ).
thf(h36,assumption,
sP29,
introduced(assumption,[]) ).
thf(h37,assumption,
~ ( sP15
=> sP74 ),
introduced(assumption,[]) ).
thf(h38,assumption,
sP15,
introduced(assumption,[]) ).
thf(h39,assumption,
~ sP74,
introduced(assumption,[]) ).
thf(h40,assumption,
sP71,
introduced(assumption,[]) ).
thf(h41,assumption,
~ sP49,
introduced(assumption,[]) ).
thf(h42,assumption,
sP51,
introduced(assumption,[]) ).
thf(h43,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP53
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP2
| ~ sP38
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP9
| sP11 ),
inference(all_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP11
| ~ sP78
| sP35 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP35
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP6
| ~ sP50
| sP26 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP26
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP13
| ~ sP36
| sP47 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP47
| ~ sP63
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP4
| ~ sP65
| sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP22
| ~ sP41
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP12
| ~ sP42
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP37
| ~ sP57
| sP60 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP60
| ~ sP5
| sP70 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP70
| ~ sP29
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP3
| ~ sP15
| sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP19
| ~ sP59
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP27
| ~ sP43
| sP45 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP45
| ~ sP8
| sP74 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP74
| ~ sP71
| sP49 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP49
| ~ sP51
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h42,h43,h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,h7,h10,h13,h16,h18,h20,h22,h24,h26,h28,h30,h32,h34,h36,h38,h40,h42,h43,h5]) ).
thf(23,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h40,h41,h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h42,h43])],[h41,22,h42,h43]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h38,h39,h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h40,h41])],[h39,23,h40,h41]) ).
thf(25,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h36,h37,h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h38,h39])],[h37,24,h38,h39]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h34,h35,h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h36,h37])],[h35,25,h36,h37]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h32,h33,h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h34,h35])],[h33,26,h34,h35]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h30,h31,h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h32,h33])],[h31,27,h32,h33]) ).
thf(29,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h28,h29,h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h30,h31])],[h29,28,h30,h31]) ).
thf(30,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h26,h27,h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h28,h29])],[h27,29,h28,h29]) ).
thf(31,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h24,h25,h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h26,h27])],[h25,30,h26,h27]) ).
thf(32,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h22,h23,h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h24,h25])],[h23,31,h24,h25]) ).
thf(33,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h21,h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h22,h23])],[h21,32,h22,h23]) ).
thf(34,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h19,h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h20,h21])],[h19,33,h20,h21]) ).
thf(35,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h17,h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h18,h19])],[h17,34,h18,h19]) ).
thf(36,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h15,h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h16,h17])],[h15,35,h16,h17]) ).
thf(37,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h13,h14,h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negall(discharge,[h15]),tab_negall(eigenvar,eigen__4)],[h14,36,h15]) ).
thf(38,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h13,h14])],[h12,37,h13,h14]) ).
thf(39,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h10,h11,h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__3)],[h11,38,h12]) ).
thf(40,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h7,h8,h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h9,39,h10,h11]) ).
thf(41,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h7,h8,h6,h4,h5,h2,h1,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__2)],[h8,40,h9]) ).
thf(42,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h4,h5,h2,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,41,h7,h8]) ).
thf(43,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h5,h2,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__1)],[h4,42,h6]) ).
thf(44,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h2,h1,h0]),tab_negimp(discharge,[h4,h5])],[h2,43,h4,h5]) ).
thf(h44,assumption,
~ sP53,
introduced(assumption,[]) ).
thf(h45,assumption,
sP16,
introduced(assumption,[]) ).
thf(h46,assumption,
~ ( sP69
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ( sP23
=> ( sP46
=> ( ( event @ X1 @ eigen__0 )
=> ( ( chevy @ X2 @ eigen__0 )
=> ( ( car @ X2 @ eigen__0 )
=> ( ( white @ X2 @ eigen__0 )
=> ( ( dirty @ X2 @ eigen__0 )
=> ( ( old @ X2 @ eigen__0 )
=> ( ( street @ X3 @ eigen__0 )
=> ( ( way @ X3 @ eigen__0 )
=> ( ( lonely @ X3 @ eigen__0 )
=> ( ( barrel @ X1 @ X2 @ eigen__0 )
=> ( ( down @ X1 @ X3 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h47,assumption,
sP69,
introduced(assumption,[]) ).
thf(h48,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ! [X3: mu] :
( ( exists_in_world @ X3 @ eigen__0 )
=> ( sP23
=> ( sP46
=> ( ( event @ X1 @ eigen__0 )
=> ( ( chevy @ X2 @ eigen__0 )
=> ( ( car @ X2 @ eigen__0 )
=> ( ( white @ X2 @ eigen__0 )
=> ( ( dirty @ X2 @ eigen__0 )
=> ( ( old @ X2 @ eigen__0 )
=> ( ( street @ X3 @ eigen__0 )
=> ( ( way @ X3 @ eigen__0 )
=> ( ( lonely @ X3 @ eigen__0 )
=> ( ( barrel @ X1 @ X2 @ eigen__0 )
=> ( ( down @ X1 @ X3 @ eigen__0 )
=> ~ ( in @ X1 @ eigen__5 @ eigen__0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h49,assumption,
~ ( sP25
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( sP23
=> ( sP46
=> ( sP61
=> ( ( chevy @ X1 @ eigen__0 )
=> ( ( car @ X1 @ eigen__0 )
=> ( ( white @ X1 @ eigen__0 )
=> ( ( dirty @ X1 @ eigen__0 )
=> ( ( old @ X1 @ eigen__0 )
=> ( ( street @ X2 @ eigen__0 )
=> ( ( way @ X2 @ eigen__0 )
=> ( ( lonely @ X2 @ eigen__0 )
=> ( ( barrel @ eigen__6 @ X1 @ eigen__0 )
=> ( ( down @ eigen__6 @ X2 @ eigen__0 )
=> ~ sP55 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h50,assumption,
sP25,
introduced(assumption,[]) ).
thf(h51,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ! [X2: mu] :
( ( exists_in_world @ X2 @ eigen__0 )
=> ( sP23
=> ( sP46
=> ( sP61
=> ( ( chevy @ X1 @ eigen__0 )
=> ( ( car @ X1 @ eigen__0 )
=> ( ( white @ X1 @ eigen__0 )
=> ( ( dirty @ X1 @ eigen__0 )
=> ( ( old @ X1 @ eigen__0 )
=> ( ( street @ X2 @ eigen__0 )
=> ( ( way @ X2 @ eigen__0 )
=> ( ( lonely @ X2 @ eigen__0 )
=> ( ( barrel @ eigen__6 @ X1 @ eigen__0 )
=> ( ( down @ eigen__6 @ X2 @ eigen__0 )
=> ~ sP55 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h52,assumption,
~ ( sP31
=> ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( sP23
=> ( sP46
=> ( sP61
=> ( sP33
=> ( sP56
=> ( sP18
=> ( sP72
=> ( sP39
=> ( ( street @ X1 @ eigen__0 )
=> ( ( way @ X1 @ eigen__0 )
=> ( ( lonely @ X1 @ eigen__0 )
=> ( sP17
=> ( ( down @ eigen__6 @ X1 @ eigen__0 )
=> ~ sP55 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h53,assumption,
sP31,
introduced(assumption,[]) ).
thf(h54,assumption,
~ ! [X1: mu] :
( ( exists_in_world @ X1 @ eigen__0 )
=> ( sP23
=> ( sP46
=> ( sP61
=> ( sP33
=> ( sP56
=> ( sP18
=> ( sP72
=> ( sP39
=> ( ( street @ X1 @ eigen__0 )
=> ( ( way @ X1 @ eigen__0 )
=> ( ( lonely @ X1 @ eigen__0 )
=> ( sP17
=> ( ( down @ eigen__6 @ X1 @ eigen__0 )
=> ~ sP55 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h55,assumption,
~ ( sP30
=> ( sP23
=> ( sP46
=> ( sP61
=> ( sP33
=> ( sP56
=> ( sP18
=> ( sP72
=> ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h56,assumption,
sP30,
introduced(assumption,[]) ).
thf(h57,assumption,
~ ( sP23
=> ( sP46
=> ( sP61
=> ( sP33
=> ( sP56
=> ( sP18
=> ( sP72
=> ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h58,assumption,
sP23,
introduced(assumption,[]) ).
thf(h59,assumption,
~ ( sP46
=> ( sP61
=> ( sP33
=> ( sP56
=> ( sP18
=> ( sP72
=> ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h60,assumption,
sP46,
introduced(assumption,[]) ).
thf(h61,assumption,
~ ( sP61
=> ( sP33
=> ( sP56
=> ( sP18
=> ( sP72
=> ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h62,assumption,
sP61,
introduced(assumption,[]) ).
thf(h63,assumption,
~ ( sP33
=> ( sP56
=> ( sP18
=> ( sP72
=> ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h64,assumption,
sP33,
introduced(assumption,[]) ).
thf(h65,assumption,
~ ( sP56
=> ( sP18
=> ( sP72
=> ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h66,assumption,
sP56,
introduced(assumption,[]) ).
thf(h67,assumption,
~ ( sP18
=> ( sP72
=> ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h68,assumption,
sP18,
introduced(assumption,[]) ).
thf(h69,assumption,
~ ( sP72
=> ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h70,assumption,
sP72,
introduced(assumption,[]) ).
thf(h71,assumption,
~ ( sP39
=> ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ) ),
introduced(assumption,[]) ).
thf(h72,assumption,
sP39,
introduced(assumption,[]) ).
thf(h73,assumption,
~ ( sP76
=> ( sP73
=> ( sP20
=> sP62 ) ) ),
introduced(assumption,[]) ).
thf(h74,assumption,
sP76,
introduced(assumption,[]) ).
thf(h75,assumption,
~ ( sP73
=> ( sP20
=> sP62 ) ),
introduced(assumption,[]) ).
thf(h76,assumption,
sP73,
introduced(assumption,[]) ).
thf(h77,assumption,
~ ( sP20
=> sP62 ),
introduced(assumption,[]) ).
thf(h78,assumption,
sP20,
introduced(assumption,[]) ).
thf(h79,assumption,
~ sP62,
introduced(assumption,[]) ).
thf(h80,assumption,
sP17,
introduced(assumption,[]) ).
thf(h81,assumption,
~ sP52,
introduced(assumption,[]) ).
thf(h82,assumption,
sP7,
introduced(assumption,[]) ).
thf(h83,assumption,
sP55,
introduced(assumption,[]) ).
thf(45,plain,
( ~ sP16
| sP54 ),
inference(all_rule,[status(thm)],]) ).
thf(46,plain,
( ~ sP54
| ~ sP69
| sP34 ),
inference(prop_rule,[status(thm)],]) ).
thf(47,plain,
( ~ sP34
| sP28 ),
inference(all_rule,[status(thm)],]) ).
thf(48,plain,
( ~ sP28
| ~ sP25
| sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( ~ sP10
| sP14 ),
inference(all_rule,[status(thm)],]) ).
thf(50,plain,
( ~ sP14
| ~ sP30
| sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(51,plain,
( ~ sP24
| sP21 ),
inference(all_rule,[status(thm)],]) ).
thf(52,plain,
( ~ sP21
| ~ sP31
| sP64 ),
inference(prop_rule,[status(thm)],]) ).
thf(53,plain,
( ~ sP64
| ~ sP23
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(54,plain,
( ~ sP32
| ~ sP46
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(55,plain,
( ~ sP48
| ~ sP61
| sP77 ),
inference(prop_rule,[status(thm)],]) ).
thf(56,plain,
( ~ sP77
| ~ sP76
| sP40 ),
inference(prop_rule,[status(thm)],]) ).
thf(57,plain,
( ~ sP40
| ~ sP73
| sP67 ),
inference(prop_rule,[status(thm)],]) ).
thf(58,plain,
( ~ sP67
| ~ sP20
| sP44 ),
inference(prop_rule,[status(thm)],]) ).
thf(59,plain,
( ~ sP44
| ~ sP33
| sP75 ),
inference(prop_rule,[status(thm)],]) ).
thf(60,plain,
( ~ sP75
| ~ sP56
| sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(61,plain,
( ~ sP68
| ~ sP18
| sP66 ),
inference(prop_rule,[status(thm)],]) ).
thf(62,plain,
( ~ sP66
| ~ sP72
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(63,plain,
( ~ sP58
| ~ sP39
| sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(64,plain,
( ~ sP62
| ~ sP17
| sP52 ),
inference(prop_rule,[status(thm)],]) ).
thf(65,plain,
( ~ sP52
| ~ sP7
| ~ sP55 ),
inference(prop_rule,[status(thm)],]) ).
thf(66,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h82,h83,h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0])],[45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,h47,h50,h53,h56,h58,h60,h62,h64,h66,h68,h70,h72,h74,h76,h78,h80,h82,h83,h45]) ).
thf(67,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h80,h81,h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h82,h83])],[h81,66,h82,h83]) ).
thf(68,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h78,h79,h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h80,h81])],[h79,67,h80,h81]) ).
thf(69,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h76,h77,h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h78,h79])],[h77,68,h78,h79]) ).
thf(70,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h74,h75,h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h76,h77])],[h75,69,h76,h77]) ).
thf(71,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h72,h73,h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h74,h75])],[h73,70,h74,h75]) ).
thf(72,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h70,h71,h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h72,h73])],[h71,71,h72,h73]) ).
thf(73,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h68,h69,h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h70,h71])],[h69,72,h70,h71]) ).
thf(74,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h66,h67,h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h68,h69])],[h67,73,h68,h69]) ).
thf(75,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h64,h65,h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h66,h67])],[h65,74,h66,h67]) ).
thf(76,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h62,h63,h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h64,h65])],[h63,75,h64,h65]) ).
thf(77,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h60,h61,h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h62,h63])],[h61,76,h62,h63]) ).
thf(78,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h58,h59,h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h60,h61])],[h59,77,h60,h61]) ).
thf(79,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h56,h57,h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h58,h59])],[h57,78,h58,h59]) ).
thf(80,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h55,h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h56,h57])],[h55,79,h56,h57]) ).
thf(81,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h53,h54,h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negall(discharge,[h55]),tab_negall(eigenvar,eigen__8)],[h54,80,h55]) ).
thf(82,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h52,h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h53,h54])],[h52,81,h53,h54]) ).
thf(83,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h50,h51,h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negall(discharge,[h52]),tab_negall(eigenvar,eigen__7)],[h51,82,h52]) ).
thf(84,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h49,h47,h48,h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h50,h51])],[h49,83,h50,h51]) ).
thf(85,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h47,h48,h46,h44,h45,h3,h1,h0]),tab_negall(discharge,[h49]),tab_negall(eigenvar,eigen__6)],[h48,84,h49]) ).
thf(86,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h46,h44,h45,h3,h1,h0]),tab_negimp(discharge,[h47,h48])],[h46,85,h47,h48]) ).
thf(87,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h44,h45,h3,h1,h0]),tab_negall(discharge,[h46]),tab_negall(eigenvar,eigen__5)],[h44,86,h46]) ).
thf(88,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h1,h0]),tab_negimp(discharge,[h44,h45])],[h3,87,h44,h45]) ).
thf(89,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h3])],[h1,44,88,h2,h3]) ).
thf(90,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,89,h1]) ).
thf(0,theorem,
! [X1: $i] :
~ ( ~ ~ ( ~ ~ ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ~ ~ ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ~ ~ ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ~ ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( hollywood @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( city @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( event @ X3 @ X1 )
=> ~ ~ ( ~ ~ ( street @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( way @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( lonely @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( chevy @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( car @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( white @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( dirty @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( old @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( barrel @ X3 @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( down @ X3 @ X4 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ~ ~ ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ~ ~ ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ~ ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( hollywood @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( city @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( event @ X3 @ X1 )
=> ~ ~ ( ~ ~ ( chevy @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( car @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( white @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( dirty @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( old @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( street @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( way @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( lonely @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( barrel @ X3 @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( down @ X3 @ X5 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ( ~ ~ ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ~ ~ ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ~ ~ ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ~ ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( hollywood @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( city @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( event @ X3 @ X1 )
=> ~ ~ ( ~ ~ ( chevy @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( car @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( white @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( dirty @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( old @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( street @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( way @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( lonely @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( barrel @ X3 @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( down @ X3 @ X5 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ! [X2: mu] :
( ( exists_in_world @ X2 @ X1 )
=> ~ ~ ! [X3: mu] :
( ( exists_in_world @ X3 @ X1 )
=> ~ ~ ! [X4: mu] :
( ( exists_in_world @ X4 @ X1 )
=> ~ ~ ! [X5: mu] :
( ( exists_in_world @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( hollywood @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( city @ X2 @ X1 )
=> ~ ~ ( ~ ~ ( event @ X3 @ X1 )
=> ~ ~ ( ~ ~ ( street @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( way @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( lonely @ X4 @ X1 )
=> ~ ~ ( ~ ~ ( chevy @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( car @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( white @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( dirty @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( old @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( barrel @ X3 @ X5 @ X1 )
=> ~ ~ ( ~ ~ ( down @ X3 @ X4 @ X1 )
=> ~ ( in @ X3 @ X2 @ X1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[90,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NLP001^7 : TPTP v8.1.0. Released v5.5.0.
% 0.10/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 19:18:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % Mode: mode213
% 0.13/0.40 % Inferences: 8
% 0.13/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------