TSTP Solution File: NLP001^3 by Lash---1.13
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : NLP001^3 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 09:59:46 EDT 2023
% Result : Theorem 7.13s 7.36s
% Output : Proof 7.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 207
% Syntax : Number of formulae : 219 ( 24 unt; 23 typ; 18 def)
% Number of atoms : 885 ( 18 equ; 1 cnn)
% Maximal formula atoms : 57 ( 4 avg)
% Number of connectives : 1898 ( 146 ~; 111 |; 2 &;1085 @)
% ( 86 <=>; 468 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 48 ( 48 >; 0 *; 0 +; 0 <<)
% Number of symbols : 124 ( 121 usr; 109 con; 0-3 aty)
% Number of variables : 101 ( 35 ^; 64 !; 2 ?; 101 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_old,type,
old: $i > mworld > $o ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__7,type,
eigen__7: $i ).
thf(ty_eigen__5,type,
eigen__5: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_way,type,
way: $i > mworld > $o ).
thf(ty_eigen__6,type,
eigen__6: $i ).
thf(ty_lonely,type,
lonely: $i > mworld > $o ).
thf(ty_hollywood,type,
hollywood: $i > mworld > $o ).
thf(ty_eigen__4,type,
eigen__4: $i ).
thf(ty_in,type,
in: $i > $i > mworld > $o ).
thf(ty_event,type,
event: $i > mworld > $o ).
thf(ty_down,type,
down: $i > $i > mworld > $o ).
thf(ty_car,type,
car: $i > mworld > $o ).
thf(ty_barrel,type,
barrel: $i > $i > mworld > $o ).
thf(ty_mactual,type,
mactual: mworld ).
thf(ty_white,type,
white: $i > mworld > $o ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_dirty,type,
dirty: $i > mworld > $o ).
thf(ty_chevy,type,
chevy: $i > mworld > $o ).
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_street,type,
street: $i > mworld > $o ).
thf(ty_city,type,
city: $i > mworld > $o ).
thf(h0,assumption,
! [X1: $i > $o,X2: $i] :
( ( X1 @ X2 )
=> ( X1 @ ( eps__0 @ X1 ) ) ),
introduced(assumption,[]) ).
thf(eigendef_eigen__3,definition,
( eigen__3
= ( eps__0
@ ^ [X1: $i] :
~ ( ( hollywood @ eigen__0 @ mactual )
=> ( ( city @ eigen__0 @ mactual )
=> ( ( event @ eigen__1 @ mactual )
=> ( ( street @ eigen__2 @ mactual )
=> ( ( way @ eigen__2 @ mactual )
=> ( ( lonely @ eigen__2 @ mactual )
=> ( ( chevy @ X1 @ mactual )
=> ( ( car @ X1 @ mactual )
=> ( ( white @ X1 @ mactual )
=> ( ( dirty @ X1 @ mactual )
=> ( ( old @ X1 @ mactual )
=> ( ( barrel @ eigen__1 @ X1 @ mactual )
=> ( ( down @ eigen__1 @ eigen__2 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__3])]) ).
thf(eigendef_eigen__1,definition,
( eigen__1
= ( eps__0
@ ^ [X1: $i] :
~ ! [X2: $i,X3: $i] :
( ( hollywood @ eigen__0 @ mactual )
=> ( ( city @ eigen__0 @ mactual )
=> ( ( event @ X1 @ mactual )
=> ( ( street @ X2 @ mactual )
=> ( ( way @ X2 @ mactual )
=> ( ( lonely @ X2 @ mactual )
=> ( ( chevy @ X3 @ mactual )
=> ( ( car @ X3 @ mactual )
=> ( ( white @ X3 @ mactual )
=> ( ( dirty @ X3 @ mactual )
=> ( ( old @ X3 @ mactual )
=> ( ( barrel @ X1 @ X3 @ mactual )
=> ( ( down @ X1 @ X2 @ mactual )
=> ~ ( in @ X1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__1])]) ).
thf(eigendef_eigen__6,definition,
( eigen__6
= ( eps__0
@ ^ [X1: $i] :
~ ! [X2: $i] :
( ( hollywood @ eigen__4 @ mactual )
=> ( ( city @ eigen__4 @ mactual )
=> ( ( event @ eigen__5 @ mactual )
=> ( ( chevy @ X1 @ mactual )
=> ( ( car @ X1 @ mactual )
=> ( ( white @ X1 @ mactual )
=> ( ( dirty @ X1 @ mactual )
=> ( ( old @ X1 @ mactual )
=> ( ( street @ X2 @ mactual )
=> ( ( way @ X2 @ mactual )
=> ( ( lonely @ X2 @ mactual )
=> ( ( barrel @ eigen__5 @ X1 @ mactual )
=> ( ( down @ eigen__5 @ X2 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__6])]) ).
thf(eigendef_eigen__0,definition,
( eigen__0
= ( eps__0
@ ^ [X1: $i] :
~ ! [X2: $i,X3: $i,X4: $i] :
( ( hollywood @ X1 @ mactual )
=> ( ( city @ X1 @ mactual )
=> ( ( event @ X2 @ mactual )
=> ( ( street @ X3 @ mactual )
=> ( ( way @ X3 @ mactual )
=> ( ( lonely @ X3 @ mactual )
=> ( ( chevy @ X4 @ mactual )
=> ( ( car @ X4 @ mactual )
=> ( ( white @ X4 @ mactual )
=> ( ( dirty @ X4 @ mactual )
=> ( ( old @ X4 @ mactual )
=> ( ( barrel @ X2 @ X4 @ mactual )
=> ( ( down @ X2 @ X3 @ mactual )
=> ~ ( in @ X2 @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__0])]) ).
thf(eigendef_eigen__2,definition,
( eigen__2
= ( eps__0
@ ^ [X1: $i] :
~ ! [X2: $i] :
( ( hollywood @ eigen__0 @ mactual )
=> ( ( city @ eigen__0 @ mactual )
=> ( ( event @ eigen__1 @ mactual )
=> ( ( street @ X1 @ mactual )
=> ( ( way @ X1 @ mactual )
=> ( ( lonely @ X1 @ mactual )
=> ( ( chevy @ X2 @ mactual )
=> ( ( car @ X2 @ mactual )
=> ( ( white @ X2 @ mactual )
=> ( ( dirty @ X2 @ mactual )
=> ( ( old @ X2 @ mactual )
=> ( ( barrel @ eigen__1 @ X2 @ mactual )
=> ( ( down @ eigen__1 @ X1 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__2])]) ).
thf(eigendef_eigen__4,definition,
( eigen__4
= ( eps__0
@ ^ [X1: $i] :
~ ! [X2: $i,X3: $i,X4: $i] :
( ( hollywood @ X1 @ mactual )
=> ( ( city @ X1 @ mactual )
=> ( ( event @ X2 @ mactual )
=> ( ( chevy @ X3 @ mactual )
=> ( ( car @ X3 @ mactual )
=> ( ( white @ X3 @ mactual )
=> ( ( dirty @ X3 @ mactual )
=> ( ( old @ X3 @ mactual )
=> ( ( street @ X4 @ mactual )
=> ( ( way @ X4 @ mactual )
=> ( ( lonely @ X4 @ mactual )
=> ( ( barrel @ X2 @ X3 @ mactual )
=> ( ( down @ X2 @ X4 @ mactual )
=> ~ ( in @ X2 @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__4])]) ).
thf(eigendef_eigen__7,definition,
( eigen__7
= ( eps__0
@ ^ [X1: $i] :
~ ( ( hollywood @ eigen__4 @ mactual )
=> ( ( city @ eigen__4 @ mactual )
=> ( ( event @ eigen__5 @ mactual )
=> ( ( chevy @ eigen__6 @ mactual )
=> ( ( car @ eigen__6 @ mactual )
=> ( ( white @ eigen__6 @ mactual )
=> ( ( dirty @ eigen__6 @ mactual )
=> ( ( old @ eigen__6 @ mactual )
=> ( ( street @ X1 @ mactual )
=> ( ( way @ X1 @ mactual )
=> ( ( lonely @ X1 @ mactual )
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ X1 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__7])]) ).
thf(eigendef_eigen__5,definition,
( eigen__5
= ( eps__0
@ ^ [X1: $i] :
~ ! [X2: $i,X3: $i] :
( ( hollywood @ eigen__4 @ mactual )
=> ( ( city @ eigen__4 @ mactual )
=> ( ( event @ X1 @ mactual )
=> ( ( chevy @ X2 @ mactual )
=> ( ( car @ X2 @ mactual )
=> ( ( white @ X2 @ mactual )
=> ( ( dirty @ X2 @ mactual )
=> ( ( old @ X2 @ mactual )
=> ( ( street @ X3 @ mactual )
=> ( ( way @ X3 @ mactual )
=> ( ( lonely @ X3 @ mactual )
=> ( ( barrel @ X1 @ X2 @ mactual )
=> ( ( down @ X1 @ X3 @ mactual )
=> ~ ( in @ X1 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__5])]) ).
thf(sP1,plain,
( sP1
<=> ( ( ~ ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hollywood @ X1 @ mactual )
=> ( ( city @ X1 @ mactual )
=> ( ( event @ X2 @ mactual )
=> ( ( street @ X3 @ mactual )
=> ( ( way @ X3 @ mactual )
=> ( ( lonely @ X3 @ mactual )
=> ( ( chevy @ X4 @ mactual )
=> ( ( car @ X4 @ mactual )
=> ( ( white @ X4 @ mactual )
=> ( ( dirty @ X4 @ mactual )
=> ( ( old @ X4 @ mactual )
=> ( ( barrel @ X2 @ X4 @ mactual )
=> ( ( down @ X2 @ X3 @ mactual )
=> ~ ( in @ X2 @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hollywood @ X1 @ mactual )
=> ( ( city @ X1 @ mactual )
=> ( ( event @ X2 @ mactual )
=> ( ( chevy @ X3 @ mactual )
=> ( ( car @ X3 @ mactual )
=> ( ( white @ X3 @ mactual )
=> ( ( dirty @ X3 @ mactual )
=> ( ( old @ X3 @ mactual )
=> ( ( street @ X4 @ mactual )
=> ( ( way @ X4 @ mactual )
=> ( ( lonely @ X4 @ mactual )
=> ( ( barrel @ X2 @ X3 @ mactual )
=> ( ( down @ X2 @ X4 @ mactual )
=> ~ ( in @ X2 @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ( ~ ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hollywood @ X1 @ mactual )
=> ( ( city @ X1 @ mactual )
=> ( ( event @ X2 @ mactual )
=> ( ( chevy @ X3 @ mactual )
=> ( ( car @ X3 @ mactual )
=> ( ( white @ X3 @ mactual )
=> ( ( dirty @ X3 @ mactual )
=> ( ( old @ X3 @ mactual )
=> ( ( street @ X4 @ mactual )
=> ( ( way @ X4 @ mactual )
=> ( ( lonely @ X4 @ mactual )
=> ( ( barrel @ X2 @ X3 @ mactual )
=> ( ( down @ X2 @ X4 @ mactual )
=> ~ ( in @ X2 @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> ~ ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hollywood @ X1 @ mactual )
=> ( ( city @ X1 @ mactual )
=> ( ( event @ X2 @ mactual )
=> ( ( street @ X3 @ mactual )
=> ( ( way @ X3 @ mactual )
=> ( ( lonely @ X3 @ mactual )
=> ( ( chevy @ X4 @ mactual )
=> ( ( car @ X4 @ mactual )
=> ( ( white @ X4 @ mactual )
=> ( ( dirty @ X4 @ mactual )
=> ( ( old @ X4 @ mactual )
=> ( ( barrel @ X2 @ X4 @ mactual )
=> ( ( down @ X2 @ X3 @ mactual )
=> ~ ( in @ X2 @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( lonely @ eigen__2 @ mactual )
=> ( ( chevy @ eigen__3 @ mactual )
=> ( ( car @ eigen__3 @ mactual )
=> ( ( white @ eigen__3 @ mactual )
=> ( ( dirty @ eigen__3 @ mactual )
=> ( ( old @ eigen__3 @ mactual )
=> ( ( barrel @ eigen__1 @ eigen__3 @ mactual )
=> ( ( down @ eigen__1 @ eigen__2 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( city @ eigen__4 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( dirty @ eigen__3 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( street @ eigen__2 @ mactual )
=> ( ( way @ eigen__2 @ mactual )
=> ( ( lonely @ eigen__2 @ mactual )
=> ( ( barrel @ eigen__1 @ eigen__3 @ mactual )
=> ( ( down @ eigen__1 @ eigen__2 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i,X2: $i,X3: $i] :
( ( hollywood @ eigen__0 @ mactual )
=> ( ( city @ eigen__0 @ mactual )
=> ( ( event @ X1 @ mactual )
=> ( ( street @ X2 @ mactual )
=> ( ( way @ X2 @ mactual )
=> ( ( lonely @ X2 @ mactual )
=> ( ( chevy @ X3 @ mactual )
=> ( ( car @ X3 @ mactual )
=> ( ( white @ X3 @ mactual )
=> ( ( dirty @ X3 @ mactual )
=> ( ( old @ X3 @ mactual )
=> ( ( barrel @ X1 @ X3 @ mactual )
=> ( ( down @ X1 @ X2 @ mactual )
=> ~ ( in @ X1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i] :
( ( hollywood @ eigen__4 @ mactual )
=> ( sP3
=> ( ( event @ eigen__5 @ mactual )
=> ( ( chevy @ eigen__6 @ mactual )
=> ( ( car @ eigen__6 @ mactual )
=> ( ( white @ eigen__6 @ mactual )
=> ( ( dirty @ eigen__6 @ mactual )
=> ( ( old @ eigen__6 @ mactual )
=> ( ( street @ X1 @ mactual )
=> ( ( way @ X1 @ mactual )
=> ( ( lonely @ X1 @ mactual )
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ X1 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( chevy @ eigen__6 @ mactual )
=> ( ( car @ eigen__6 @ mactual )
=> ( ( white @ eigen__6 @ mactual )
=> ( ( dirty @ eigen__6 @ mactual )
=> ( ( old @ eigen__6 @ mactual )
=> ( ( street @ eigen__7 @ mactual )
=> ( ( way @ eigen__7 @ mactual )
=> ( ( lonely @ eigen__7 @ mactual )
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( hollywood @ eigen__0 @ mactual )
=> ( ( city @ eigen__0 @ mactual )
=> ( ( event @ eigen__1 @ mactual )
=> ( ( street @ eigen__2 @ mactual )
=> ( ( way @ eigen__2 @ mactual )
=> sP2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( sP3
=> ( ( event @ eigen__5 @ mactual )
=> sP8 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( way @ eigen__2 @ mactual )
=> ( ( lonely @ eigen__2 @ mactual )
=> ( ( barrel @ eigen__1 @ eigen__3 @ mactual )
=> ( ( down @ eigen__1 @ eigen__2 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( hollywood @ eigen__4 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i,X2: $i,X3: $i] :
( sP12
=> ( sP3
=> ( ( event @ X1 @ mactual )
=> ( ( chevy @ X2 @ mactual )
=> ( ( car @ X2 @ mactual )
=> ( ( white @ X2 @ mactual )
=> ( ( dirty @ X2 @ mactual )
=> ( ( old @ X2 @ mactual )
=> ( ( street @ X3 @ mactual )
=> ( ( way @ X3 @ mactual )
=> ( ( lonely @ X3 @ mactual )
=> ( ( barrel @ X1 @ X2 @ mactual )
=> ( ( down @ X1 @ X3 @ mactual )
=> ~ ( in @ X1 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( old @ eigen__3 @ mactual )
=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ( way @ eigen__7 @ mactual )
=> ( ( lonely @ eigen__7 @ mactual )
=> ( ( chevy @ eigen__6 @ mactual )
=> ( ( car @ eigen__6 @ mactual )
=> ( ( white @ eigen__6 @ mactual )
=> ( ( dirty @ eigen__6 @ mactual )
=> ( ( old @ eigen__6 @ mactual )
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hollywood @ X1 @ mactual )
=> ( ( city @ X1 @ mactual )
=> ( ( event @ X2 @ mactual )
=> ( ( street @ X3 @ mactual )
=> ( ( way @ X3 @ mactual )
=> ( ( lonely @ X3 @ mactual )
=> ( ( chevy @ X4 @ mactual )
=> ( ( car @ X4 @ mactual )
=> ( ( white @ X4 @ mactual )
=> ( ( dirty @ X4 @ mactual )
=> ( ( old @ X4 @ mactual )
=> ( ( barrel @ X2 @ X4 @ mactual )
=> ( ( down @ X2 @ X3 @ mactual )
=> ~ ( in @ X2 @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( event @ eigen__5 @ mactual )
=> sP8 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( chevy @ eigen__6 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( sP4
=> ( ( old @ eigen__3 @ mactual )
=> ( ( barrel @ eigen__1 @ eigen__3 @ mactual )
=> ( ( down @ eigen__1 @ eigen__2 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( dirty @ eigen__6 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ( chevy @ eigen__3 @ mactual )
=> ( ( car @ eigen__3 @ mactual )
=> ( ( white @ eigen__3 @ mactual )
=> sP19 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ( car @ eigen__6 @ mactual )
=> ( ( white @ eigen__6 @ mactual )
=> ( sP20
=> ( ( old @ eigen__6 @ mactual )
=> ( ( street @ eigen__7 @ mactual )
=> ( ( way @ eigen__7 @ mactual )
=> ( ( lonely @ eigen__7 @ mactual )
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ( white @ eigen__6 @ mactual )
=> ( sP20
=> ( ( old @ eigen__6 @ mactual )
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ( street @ eigen__7 @ mactual )
=> sP15 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( ( old @ eigen__6 @ mactual )
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( ( way @ eigen__7 @ mactual )
=> ( ( lonely @ eigen__7 @ mactual )
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( sP20
=> sP25 ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ! [X1: $i,X2: $i] :
( sP12
=> ( sP3
=> ( ( event @ eigen__5 @ mactual )
=> ( ( chevy @ X1 @ mactual )
=> ( ( car @ X1 @ mactual )
=> ( ( white @ X1 @ mactual )
=> ( ( dirty @ X1 @ mactual )
=> ( ( old @ X1 @ mactual )
=> ( ( street @ X2 @ mactual )
=> ( ( way @ X2 @ mactual )
=> ( ( lonely @ X2 @ mactual )
=> ( ( barrel @ eigen__5 @ X1 @ mactual )
=> ( ( down @ eigen__5 @ X2 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( lonely @ eigen__7 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ! [X1: $i] :
( sP12
=> ( sP3
=> ( ( event @ eigen__5 @ mactual )
=> ( ( street @ eigen__7 @ mactual )
=> ( ( way @ eigen__7 @ mactual )
=> ( sP29
=> ( ( chevy @ X1 @ mactual )
=> ( ( car @ X1 @ mactual )
=> ( ( white @ X1 @ mactual )
=> ( ( dirty @ X1 @ mactual )
=> ( ( old @ X1 @ mactual )
=> ( ( barrel @ eigen__5 @ X1 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( white @ eigen__3 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ! [X1: $i,X2: $i,X3: $i,X4: $i] :
( ( hollywood @ X1 @ mactual )
=> ( ( city @ X1 @ mactual )
=> ( ( event @ X2 @ mactual )
=> ( ( chevy @ X3 @ mactual )
=> ( ( car @ X3 @ mactual )
=> ( ( white @ X3 @ mactual )
=> ( ( dirty @ X3 @ mactual )
=> ( ( old @ X3 @ mactual )
=> ( ( street @ X4 @ mactual )
=> ( ( way @ X4 @ mactual )
=> ( ( lonely @ X4 @ mactual )
=> ( ( barrel @ X2 @ X3 @ mactual )
=> ( ( down @ X2 @ X4 @ mactual )
=> ~ ( in @ X2 @ X1 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( way @ eigen__7 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( ( event @ eigen__1 @ mactual )
=> ( ( chevy @ eigen__3 @ mactual )
=> ( ( car @ eigen__3 @ mactual )
=> ( sP31
=> ( sP4
=> sP14 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( sP29
=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( ( city @ eigen__0 @ mactual )
=> sP34 ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( old @ eigen__6 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( sP12
=> sP10 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( sP12
=> ( sP3
=> ( ( event @ eigen__5 @ mactual )
=> sP24 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( street @ eigen__2 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( way @ eigen__2 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( ( barrel @ eigen__1 @ eigen__3 @ mactual )
=> ( ( down @ eigen__1 @ eigen__2 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( ( chevy @ eigen__3 @ mactual )
=> ( ( car @ eigen__3 @ mactual )
=> ( sP31
=> ( sP4
=> sP14 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ! [X1: $i,X2: $i] :
( ( hollywood @ eigen__0 @ mactual )
=> ( ( city @ eigen__0 @ mactual )
=> ( ( event @ eigen__1 @ mactual )
=> ( ( chevy @ X1 @ mactual )
=> ( ( car @ X1 @ mactual )
=> ( ( white @ X1 @ mactual )
=> ( ( dirty @ X1 @ mactual )
=> ( ( old @ X1 @ mactual )
=> ( ( street @ X2 @ mactual )
=> ( ( way @ X2 @ mactual )
=> ( ( lonely @ X2 @ mactual )
=> ( ( barrel @ eigen__1 @ X1 @ mactual )
=> ( ( down @ eigen__1 @ X2 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ! [X1: $i] :
( ( hollywood @ eigen__0 @ mactual )
=> ( ( city @ eigen__0 @ mactual )
=> ( ( event @ eigen__1 @ mactual )
=> ( ( chevy @ eigen__3 @ mactual )
=> ( ( car @ eigen__3 @ mactual )
=> ( sP31
=> ( sP4
=> ( ( old @ eigen__3 @ mactual )
=> ( ( street @ X1 @ mactual )
=> ( ( way @ X1 @ mactual )
=> ( ( lonely @ X1 @ mactual )
=> ( ( barrel @ eigen__1 @ eigen__3 @ mactual )
=> ( ( down @ eigen__1 @ X1 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ( white @ eigen__6 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( ( event @ eigen__5 @ mactual )
=> sP24 ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ( city @ eigen__0 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( sP4
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ! [X1: $i] :
( ( hollywood @ eigen__0 @ mactual )
=> ( sP48
=> ( ( event @ eigen__1 @ mactual )
=> ( sP40
=> ( sP41
=> ( ( lonely @ eigen__2 @ mactual )
=> ( ( chevy @ X1 @ mactual )
=> ( ( car @ X1 @ mactual )
=> ( ( white @ X1 @ mactual )
=> ( ( dirty @ X1 @ mactual )
=> ( ( old @ X1 @ mactual )
=> ( ( barrel @ eigen__1 @ X1 @ mactual )
=> ( ( down @ eigen__1 @ eigen__2 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(sP51,plain,
( sP51
<=> ( hollywood @ eigen__0 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP51])]) ).
thf(sP52,plain,
( sP52
<=> ( sP31
=> sP19 ) ),
introduced(definition,[new_symbols(definition,[sP52])]) ).
thf(sP53,plain,
( sP53
<=> ( street @ eigen__7 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP53])]) ).
thf(sP54,plain,
( sP54
<=> ( lonely @ eigen__2 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP54])]) ).
thf(sP55,plain,
( sP55
<=> ( sP40
=> ( sP41
=> sP2 ) ) ),
introduced(definition,[new_symbols(definition,[sP55])]) ).
thf(sP56,plain,
( sP56
<=> ( ( car @ eigen__3 @ mactual )
=> sP52 ) ),
introduced(definition,[new_symbols(definition,[sP56])]) ).
thf(sP57,plain,
( sP57
<=> ( ~ sP16
=> ~ sP32 ) ),
introduced(definition,[new_symbols(definition,[sP57])]) ).
thf(sP58,plain,
( sP58
<=> ( sP54
=> sP42 ) ),
introduced(definition,[new_symbols(definition,[sP58])]) ).
thf(sP59,plain,
( sP59
<=> ( chevy @ eigen__3 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP59])]) ).
thf(sP60,plain,
( sP60
<=> ! [X1: $i,X2: $i,X3: $i] :
( sP12
=> ( sP3
=> ( ( event @ X1 @ mactual )
=> ( ( street @ X2 @ mactual )
=> ( ( way @ X2 @ mactual )
=> ( ( lonely @ X2 @ mactual )
=> ( ( chevy @ X3 @ mactual )
=> ( ( car @ X3 @ mactual )
=> ( ( white @ X3 @ mactual )
=> ( ( dirty @ X3 @ mactual )
=> ( ( old @ X3 @ mactual )
=> ( ( barrel @ X1 @ X3 @ mactual )
=> ( ( down @ X1 @ X2 @ mactual )
=> ~ ( in @ X1 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP60])]) ).
thf(sP61,plain,
( sP61
<=> ( ( car @ eigen__6 @ mactual )
=> sP23 ) ),
introduced(definition,[new_symbols(definition,[sP61])]) ).
thf(sP62,plain,
( sP62
<=> ( sP37
=> ( sP53
=> sP26 ) ) ),
introduced(definition,[new_symbols(definition,[sP62])]) ).
thf(sP63,plain,
( sP63
<=> ! [X1: $i,X2: $i] :
( sP12
=> ( sP3
=> ( ( event @ eigen__5 @ mactual )
=> ( ( street @ X1 @ mactual )
=> ( ( way @ X1 @ mactual )
=> ( ( lonely @ X1 @ mactual )
=> ( ( chevy @ X2 @ mactual )
=> ( ( car @ X2 @ mactual )
=> ( ( white @ X2 @ mactual )
=> ( ( dirty @ X2 @ mactual )
=> ( ( old @ X2 @ mactual )
=> ( ( barrel @ eigen__5 @ X2 @ mactual )
=> ( ( down @ eigen__5 @ X1 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP63])]) ).
thf(sP64,plain,
( sP64
<=> ( event @ eigen__5 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP64])]) ).
thf(sP65,plain,
( sP65
<=> ! [X1: $i,X2: $i] :
( sP51
=> ( sP48
=> ( ( event @ eigen__1 @ mactual )
=> ( ( street @ X1 @ mactual )
=> ( ( way @ X1 @ mactual )
=> ( ( lonely @ X1 @ mactual )
=> ( ( chevy @ X2 @ mactual )
=> ( ( car @ X2 @ mactual )
=> ( ( white @ X2 @ mactual )
=> ( ( dirty @ X2 @ mactual )
=> ( ( old @ X2 @ mactual )
=> ( ( barrel @ eigen__1 @ X2 @ mactual )
=> ( ( down @ eigen__1 @ X1 @ mactual )
=> ~ ( in @ eigen__1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP65])]) ).
thf(sP66,plain,
( sP66
<=> ! [X1: $i,X2: $i,X3: $i] :
( sP51
=> ( sP48
=> ( ( event @ X1 @ mactual )
=> ( ( chevy @ X2 @ mactual )
=> ( ( car @ X2 @ mactual )
=> ( ( white @ X2 @ mactual )
=> ( ( dirty @ X2 @ mactual )
=> ( ( old @ X2 @ mactual )
=> ( ( street @ X3 @ mactual )
=> ( ( way @ X3 @ mactual )
=> ( ( lonely @ X3 @ mactual )
=> ( ( barrel @ X1 @ X2 @ mactual )
=> ( ( down @ X1 @ X3 @ mactual )
=> ~ ( in @ X1 @ eigen__0 @ mactual ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP66])]) ).
thf(sP67,plain,
( sP67
<=> ( sP48
=> ( ( event @ eigen__1 @ mactual )
=> sP55 ) ) ),
introduced(definition,[new_symbols(definition,[sP67])]) ).
thf(sP68,plain,
( sP68
<=> ( old @ eigen__3 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP68])]) ).
thf(sP69,plain,
( sP69
<=> ( sP29
=> ( sP18
=> sP61 ) ) ),
introduced(definition,[new_symbols(definition,[sP69])]) ).
thf(sP70,plain,
( sP70
<=> ( sP51
=> sP36 ) ),
introduced(definition,[new_symbols(definition,[sP70])]) ).
thf(sP71,plain,
( sP71
<=> ( sP53
=> sP26 ) ),
introduced(definition,[new_symbols(definition,[sP71])]) ).
thf(sP72,plain,
( sP72
<=> ( sP3
=> sP47 ) ),
introduced(definition,[new_symbols(definition,[sP72])]) ).
thf(sP73,plain,
( sP73
<=> ( ( car @ eigen__3 @ mactual )
=> ( sP31
=> sP49 ) ) ),
introduced(definition,[new_symbols(definition,[sP73])]) ).
thf(sP74,plain,
( sP74
<=> ( event @ eigen__1 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP74])]) ).
thf(sP75,plain,
( sP75
<=> ( sP74
=> sP55 ) ),
introduced(definition,[new_symbols(definition,[sP75])]) ).
thf(sP76,plain,
( sP76
<=> ( sP68
=> sP42 ) ),
introduced(definition,[new_symbols(definition,[sP76])]) ).
thf(sP77,plain,
( sP77
<=> ( ( barrel @ eigen__5 @ eigen__6 @ mactual )
=> ( ( down @ eigen__5 @ eigen__7 @ mactual )
=> ~ ( in @ eigen__5 @ eigen__4 @ mactual ) ) ) ),
introduced(definition,[new_symbols(definition,[sP77])]) ).
thf(sP78,plain,
( sP78
<=> ( sP18
=> sP61 ) ),
introduced(definition,[new_symbols(definition,[sP78])]) ).
thf(sP79,plain,
( sP79
<=> ( ~ sP32
=> ~ sP16 ) ),
introduced(definition,[new_symbols(definition,[sP79])]) ).
thf(sP80,plain,
( sP80
<=> ( sP20
=> sP62 ) ),
introduced(definition,[new_symbols(definition,[sP80])]) ).
thf(sP81,plain,
( sP81
<=> ( car @ eigen__6 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP81])]) ).
thf(sP82,plain,
( sP82
<=> ( sP31
=> sP49 ) ),
introduced(definition,[new_symbols(definition,[sP82])]) ).
thf(sP83,plain,
( sP83
<=> ( car @ eigen__3 @ mactual ) ),
introduced(definition,[new_symbols(definition,[sP83])]) ).
thf(sP84,plain,
( sP84
<=> ( sP46
=> sP80 ) ),
introduced(definition,[new_symbols(definition,[sP84])]) ).
thf(sP85,plain,
( sP85
<=> ( sP41
=> sP2 ) ),
introduced(definition,[new_symbols(definition,[sP85])]) ).
thf(def_mlocal,definition,
( mlocal
= ( ^ [X1: mworld > $o] : ( X1 @ mactual ) ) ) ).
thf(def_mnot,definition,
( mnot
= ( ^ [X1: mworld > $o,X2: mworld] : ( (~) @ ( X1 @ X2 ) ) ) ) ).
thf(def_mand,definition,
( mand
= ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ).
thf(def_mor,definition,
( mor
= ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
( ( X1 @ X3 )
| ( X2 @ X3 ) ) ) ) ).
thf(def_mimplies,definition,
( mimplies
= ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
( ^ [X4: $o,X5: $o] :
( X4
=> X5 )
@ ( X1 @ X3 )
@ ( X2 @ X3 ) ) ) ) ).
thf(def_mequiv,definition,
( mequiv
= ( ^ [X1: mworld > $o,X2: mworld > $o,X3: mworld] :
( ( X1 @ X3 )
<=> ( X2 @ X3 ) ) ) ) ).
thf(def_mbox,definition,
( mbox
= ( ^ [X1: mworld > $o,X2: mworld] :
! [X3: mworld] :
( ^ [X4: $o,X5: $o] :
( X4
=> X5 )
@ ( mrel @ X2 @ X3 )
@ ( X1 @ X3 ) ) ) ) ).
thf(def_mdia,definition,
( mdia
= ( ^ [X1: mworld > $o,X2: mworld] :
? [X3: mworld] :
( ( mrel @ X2 @ X3 )
& ( X1 @ X3 ) ) ) ) ).
thf(def_mforall_di,definition,
( mforall_di
= ( ^ [X1: $i > mworld > $o,X2: mworld] :
! [X3: $i] : ( X1 @ X3 @ X2 ) ) ) ).
thf(def_mexists_di,definition,
( mexists_di
= ( ^ [X1: $i > mworld > $o,X2: mworld] :
? [X3: $i] : ( X1 @ X3 @ X2 ) ) ) ).
thf(co1,conjecture,
~ sP1 ).
thf(h1,negated_conjecture,
sP1,
inference(assume_negation,[status(cth)],[co1]) ).
thf(1,plain,
( ~ sP58
| ~ sP54
| sP42 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP11
| ~ sP41
| sP58 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP5
| ~ sP40
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP14
| ~ sP68
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP49
| ~ sP4
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP82
| ~ sP31
| sP49 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP73
| ~ sP83
| sP82 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP43
| ~ sP59
| sP73 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP34
| ~ sP74
| sP43 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP36
| ~ sP48
| sP34 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP70
| ~ sP51
| sP36 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP45
| sP70 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP44
| sP45 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP25
| ~ sP37
| sP77 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( ~ sP27
| ~ sP20
| sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( ~ sP23
| ~ sP46
| sP27 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( ~ sP61
| ~ sP81
| sP23 ),
inference(prop_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP78
| ~ sP18
| sP61 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP69
| ~ sP29
| sP78 ),
inference(prop_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP15
| ~ sP33
| sP69 ),
inference(prop_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP24
| ~ sP53
| sP15 ),
inference(prop_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP47
| ~ sP64
| sP24 ),
inference(prop_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP72
| ~ sP3
| sP47 ),
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP39
| ~ sP12
| sP72 ),
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
( ~ sP30
| sP39 ),
inference(all_rule,[status(thm)],]) ).
thf(26,plain,
( ~ sP63
| sP30 ),
inference(all_rule,[status(thm)],]) ).
thf(27,plain,
( ~ sP66
| sP44 ),
inference(all_rule,[status(thm)],]) ).
thf(28,plain,
( ~ sP60
| sP63 ),
inference(all_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP32
| sP66 ),
inference(all_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP16
| sP60 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( sP35
| ~ sP77 ),
inference(prop_rule,[status(thm)],]) ).
thf(32,plain,
( sP35
| sP29 ),
inference(prop_rule,[status(thm)],]) ).
thf(33,plain,
( sP26
| ~ sP35 ),
inference(prop_rule,[status(thm)],]) ).
thf(34,plain,
( sP26
| sP33 ),
inference(prop_rule,[status(thm)],]) ).
thf(35,plain,
( sP71
| ~ sP26 ),
inference(prop_rule,[status(thm)],]) ).
thf(36,plain,
( sP71
| sP53 ),
inference(prop_rule,[status(thm)],]) ).
thf(37,plain,
( sP62
| ~ sP71 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( sP62
| sP37 ),
inference(prop_rule,[status(thm)],]) ).
thf(39,plain,
( sP80
| ~ sP62 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( sP80
| sP20 ),
inference(prop_rule,[status(thm)],]) ).
thf(41,plain,
( sP84
| ~ sP80 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( sP84
| sP46 ),
inference(prop_rule,[status(thm)],]) ).
thf(43,plain,
( sP22
| ~ sP84 ),
inference(prop_rule,[status(thm)],]) ).
thf(44,plain,
( sP22
| sP81 ),
inference(prop_rule,[status(thm)],]) ).
thf(45,plain,
( sP8
| ~ sP22 ),
inference(prop_rule,[status(thm)],]) ).
thf(46,plain,
( sP8
| sP18 ),
inference(prop_rule,[status(thm)],]) ).
thf(47,plain,
( sP17
| ~ sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(48,plain,
( sP17
| sP64 ),
inference(prop_rule,[status(thm)],]) ).
thf(49,plain,
( sP10
| ~ sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(50,plain,
( sP10
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(51,plain,
( sP38
| ~ sP10 ),
inference(prop_rule,[status(thm)],]) ).
thf(52,plain,
( sP38
| sP12 ),
inference(prop_rule,[status(thm)],]) ).
thf(53,plain,
( sP7
| ~ sP38 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__7]) ).
thf(54,plain,
( sP28
| ~ sP7 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__6]) ).
thf(55,plain,
( sP13
| ~ sP28 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__5]) ).
thf(56,plain,
( sP32
| ~ sP13 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__4]) ).
thf(57,plain,
( sP79
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(58,plain,
( sP79
| ~ sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(59,plain,
( sP76
| ~ sP42 ),
inference(prop_rule,[status(thm)],]) ).
thf(60,plain,
( sP76
| sP68 ),
inference(prop_rule,[status(thm)],]) ).
thf(61,plain,
( sP19
| ~ sP76 ),
inference(prop_rule,[status(thm)],]) ).
thf(62,plain,
( sP19
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(63,plain,
( sP52
| ~ sP19 ),
inference(prop_rule,[status(thm)],]) ).
thf(64,plain,
( sP52
| sP31 ),
inference(prop_rule,[status(thm)],]) ).
thf(65,plain,
( sP56
| ~ sP52 ),
inference(prop_rule,[status(thm)],]) ).
thf(66,plain,
( sP56
| sP83 ),
inference(prop_rule,[status(thm)],]) ).
thf(67,plain,
( sP21
| ~ sP56 ),
inference(prop_rule,[status(thm)],]) ).
thf(68,plain,
( sP21
| sP59 ),
inference(prop_rule,[status(thm)],]) ).
thf(69,plain,
( sP2
| ~ sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(70,plain,
( sP2
| sP54 ),
inference(prop_rule,[status(thm)],]) ).
thf(71,plain,
( sP85
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(72,plain,
( sP85
| sP41 ),
inference(prop_rule,[status(thm)],]) ).
thf(73,plain,
( sP55
| ~ sP85 ),
inference(prop_rule,[status(thm)],]) ).
thf(74,plain,
( sP55
| sP40 ),
inference(prop_rule,[status(thm)],]) ).
thf(75,plain,
( sP75
| ~ sP55 ),
inference(prop_rule,[status(thm)],]) ).
thf(76,plain,
( sP75
| sP74 ),
inference(prop_rule,[status(thm)],]) ).
thf(77,plain,
( sP67
| ~ sP75 ),
inference(prop_rule,[status(thm)],]) ).
thf(78,plain,
( sP67
| sP48 ),
inference(prop_rule,[status(thm)],]) ).
thf(79,plain,
( sP9
| ~ sP67 ),
inference(prop_rule,[status(thm)],]) ).
thf(80,plain,
( sP9
| sP51 ),
inference(prop_rule,[status(thm)],]) ).
thf(81,plain,
( sP50
| ~ sP9 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3]) ).
thf(82,plain,
( sP65
| ~ sP50 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__2]) ).
thf(83,plain,
( sP6
| ~ sP65 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1]) ).
thf(84,plain,
( sP16
| ~ sP6 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__0]) ).
thf(85,plain,
( sP57
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(86,plain,
( sP57
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(87,plain,
( ~ sP1
| ~ sP57
| ~ sP79 ),
inference(prop_rule,[status(thm)],]) ).
thf(88,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,h1]) ).
thf(89,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[88,h0]) ).
thf(0,theorem,
~ sP1,
inference(contra,[status(thm),contra(discharge,[h1])],[88,h1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP001^3 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 12:23:25 EDT 2023
% 0.19/0.33 % CPUTime :
% 7.13/7.36 % SZS status Theorem
% 7.13/7.36 % Mode: cade22grackle2xfee4
% 7.13/7.36 % Steps: 133601
% 7.13/7.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------