TSTP Solution File: SWV436^4 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SWV436^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n011.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 22:49:13 EDT 2023
% Result : Theorem 3.57s 3.76s
% Output : Proof 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 136
% Syntax : Number of formulae : 146 ( 39 unt; 9 typ; 27 def)
% Number of atoms : 399 ( 27 equ; 3 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 570 ( 96 ~; 63 |; 2 &; 258 @)
% ( 49 <=>; 102 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 88 ( 84 usr; 83 con; 0-2 aty)
% Number of variables : 115 ( 44 ^; 67 !; 4 ?; 115 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__12,type,
eigen__12: $i ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_deletefile1,type,
deletefile1: $i > $o ).
thf(ty_eigen__39,type,
eigen__39: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_bob,type,
bob: $i > $o ).
thf(ty_rel,type,
rel: $i > $i > $o ).
thf(ty_admin,type,
admin: $i > $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] :
~ ( ( rel @ eigen__1 @ X1 )
=> ( deletefile1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__3])]) ).
thf(eigendef_eigen__39,definition,
( eigen__39
= ( eps__0
@ ^ [X1: $i] :
~ ( ( rel @ eigen__12 @ X1 )
=> ( deletefile1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__39])]) ).
thf(eigendef_eigen__12,definition,
( eigen__12
= ( eps__0
@ ^ [X1: $i] :
~ ( ( rel @ eigen__3 @ X1 )
=> ( deletefile1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__12])]) ).
thf(sP1,plain,
( sP1
<=> ( ( rel @ eigen__1 @ eigen__3 )
=> ( deletefile1 @ eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( rel @ eigen__0 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( admin @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
( ( rel @ eigen__3 @ X1 )
=> ( deletefile1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( rel @ eigen__1 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i,X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ( bob @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( deletefile1 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP4
=> ( deletefile1 @ eigen__3 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ! [X1: $i] :
( ( rel @ eigen__12 @ X1 )
=> ( deletefile1 @ X1 ) )
=> ( deletefile1 @ eigen__12 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( deletefile1 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i] :
( ( rel @ eigen__12 @ X1 )
=> ( ~ ( bob @ X1 )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ~ ( bob @ eigen__39 )
=> ! [X1: $i] :
( ( rel @ eigen__39 @ X1 )
=> ( deletefile1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( rel @ eigen__12 @ eigen__39 )
=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ! [X1: $i] :
( ( rel @ eigen__39 @ X1 )
=> ( deletefile1 @ X1 ) )
=> ( deletefile1 @ eigen__39 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( deletefile1 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ( rel @ eigen__12 @ eigen__39 )
=> ~ ( admin @ eigen__39 ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( deletefile1 @ eigen__12 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( bob @ eigen__39 )
=> ( admin @ eigen__39 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( sP2
=> ( ~ ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ~ ( admin @ X1 ) )
=> ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( deletefile1 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( deletefile1 @ X1 ) )
=> sP14 ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: $i] :
( ( rel @ eigen__3 @ X1 )
=> ( ~ ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ~ ( admin @ X2 ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: $i] :
( ( rel @ eigen__39 @ X1 )
=> ( deletefile1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( ( rel @ eigen__3 @ eigen__12 )
=> sP16 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( sP5
=> ( ~ sP3
=> ! [X1: $i] :
( ( rel @ eigen__3 @ X1 )
=> ( ~ ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ( bob @ X2 )
=> ( admin @ X2 ) ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ! [X1: $i] :
( ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) )
=> ( deletefile1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( deletefile1 @ eigen__39 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( ~ ( admin @ X1 )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ( bob @ X3 )
=> ( admin @ X3 ) ) )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( deletefile1 @ X3 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $i,X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ~ ( admin @ X3 ) )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( deletefile1 @ X3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( ( rel @ eigen__12 @ eigen__39 )
=> sP25 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ! [X1: $i > $o,X2: $i] :
( ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( X1 @ X3 ) )
=> ( X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ~ ( admin @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( sP5
=> ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ! [X1: $i] :
( ( rel @ eigen__12 @ X1 )
=> ( deletefile1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ! [X1: $i] :
( ( rel @ eigen__12 @ X1 )
=> ( ( bob @ X1 )
=> ( admin @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( ( rel @ eigen__12 @ eigen__39 )
=> sP17 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( rel @ eigen__12 @ eigen__39 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ! [X1: $i] :
( ( rel @ eigen__0 @ X1 )
=> ( ~ ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ~ ( admin @ X2 ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( ( rel @ eigen__3 @ eigen__12 )
=> ( ~ ! [X1: $i] :
( ( rel @ eigen__12 @ X1 )
=> ~ ( admin @ X1 ) )
=> sP32 ) ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( admin @ eigen__39 ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ~ ! [X1: $i] :
( ( rel @ eigen__12 @ X1 )
=> ~ ( admin @ X1 ) )
=> sP32 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ! [X1: $i,X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ~ ( admin @ X2 )
=> ! [X3: $i] :
( ( rel @ X2 @ X3 )
=> ( ~ ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( ( bob @ X4 )
=> ( admin @ X4 ) ) )
=> ! [X4: $i] :
( ( rel @ X3 @ X4 )
=> ( deletefile1 @ X4 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ( ~ sP30
=> ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( deletefile1 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( bob @ eigen__39 ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ! [X1: $i] :
( ( rel @ eigen__1 @ X1 )
=> ( deletefile1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( ~ sP33
=> sP32 ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( ~ sP3
=> ! [X1: $i] :
( ( rel @ eigen__3 @ X1 )
=> ( ~ ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ( bob @ X2 )
=> ( admin @ X2 ) ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ! [X1: $i] :
( ( rel @ eigen__12 @ X1 )
=> ~ ( admin @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ! [X1: $i] :
( ( rel @ eigen__3 @ X1 )
=> ( ~ ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( ( bob @ X2 )
=> ( admin @ X2 ) ) )
=> ! [X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ( ( rel @ eigen__3 @ eigen__12 )
=> sP44 ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( rel @ eigen__3 @ eigen__12 ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(def_mfalse,definition,
( mfalse
= ( ^ [X1: $i] : $false ) ) ).
thf(def_mtrue,definition,
( mtrue
= ( ^ [X1: $i] : $true ) ) ).
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_mand,definition,
( mand
= ( ^ [X1: $i > $o,X2: $i > $o,X3: $i] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) ) ) ).
thf(def_mimpl,definition,
( mimpl
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mor @ ( mnot @ X1 ) @ X2 ) ) ) ).
thf(def_miff,definition,
( miff
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mand @ ( mimpl @ X1 @ X2 ) @ ( mimpl @ X2 @ X1 ) ) ) ) ).
thf(def_mbox,definition,
( mbox
= ( ^ [X1: $i > $i > $o,X2: $i > $o,X3: $i] :
! [X4: $i] :
( ^ [X5: $o,X6: $o] :
( X5
=> X6 )
@ ( X1 @ X3 @ X4 )
@ ( X2 @ X4 ) ) ) ) ).
thf(def_mdia,definition,
( mdia
= ( ^ [X1: $i > $i > $o,X2: $i > $o,X3: $i] :
? [X4: $i] :
( ( X1 @ X3 @ X4 )
& ( X2 @ X4 ) ) ) ) ).
thf(def_mall,definition,
( mall
= ( ^ [X1: individuals > $i > $o,X2: $i] :
! [X3: individuals] : ( X1 @ X3 @ X2 ) ) ) ).
thf(def_mexists,definition,
( mexists
= ( ^ [X1: individuals > $i > $o,X2: $i] :
? [X3: individuals] : ( X1 @ X3 @ X2 ) ) ) ).
thf(def_mvalid,definition,
( mvalid
= ( ^ [X1: $i > $o] :
! [X2: $i] : ( X1 @ X2 ) ) ) ).
thf(def_msatisfiable,definition,
( msatisfiable
= ( ^ [X1: $i > $o] :
? [X2: $i] : ( X1 @ X2 ) ) ) ).
thf(def_mcountersatisfiable,definition,
( mcountersatisfiable
= ( ^ [X1: $i > $o] :
? [X2: $i] : ( (~) @ ( X1 @ X2 ) ) ) ) ).
thf(def_minvalid,definition,
( minvalid
= ( ^ [X1: $i > $o] :
! [X2: $i] : ( (~) @ ( X1 @ X2 ) ) ) ) ).
thf(def_icl_atom,definition,
( icl_atom
= ( ^ [X1: $i > $o] : ( mbox @ rel @ X1 ) ) ) ).
thf(def_icl_princ,definition,
( icl_princ
= ( ^ [X1: $i > $o] : X1 ) ) ).
thf(def_icl_and,definition,
( icl_and
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mand @ X1 @ X2 ) ) ) ).
thf(def_icl_or,definition,
( icl_or
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mor @ X1 @ X2 ) ) ) ).
thf(def_icl_impl,definition,
( icl_impl
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mbox @ rel @ ( mimpl @ X1 @ X2 ) ) ) ) ).
thf(def_icl_true,definition,
icl_true = mtrue ).
thf(def_icl_false,definition,
icl_false = mfalse ).
thf(def_icl_says,definition,
( icl_says
= ( ^ [X1: $i > $o,X2: $i > $o] : ( mbox @ rel @ ( mor @ X1 @ X2 ) ) ) ) ).
thf(def_iclval,definition,
( iclval
= ( ^ [X1: $i > $o] : ( mvalid @ X1 ) ) ) ).
thf(ex3,conjecture,
! [X1: $i,X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ) ).
thf(h1,negated_conjecture,
~ ! [X1: $i,X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ),
inference(assume_negation,[status(cth)],[ex3]) ).
thf(h2,assumption,
~ ! [X1: $i] :
( ( rel @ eigen__0 @ X1 )
=> ( deletefile1 @ X1 ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP2
=> sP14 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP2,
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP14,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP12
| ~ sP35
| sP11 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP11
| sP42
| sP21 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP17
| ~ sP42
| sP38 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP13
| ~ sP21
| sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP34
| ~ sP35
| sP17 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP15
| ~ sP35
| ~ sP38 ),
inference(prop_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP24
| sP13 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP10
| sP12 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP33
| sP34 ),
inference(all_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP46
| sP15 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP39
| sP46
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP44
| sP33
| sP32 ),
inference(prop_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP37
| ~ sP49
| sP39 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
( ~ sP48
| ~ sP49
| sP44 ),
inference(prop_rule,[status(thm)],]) ).
thf(15,plain,
( sP28
| ~ sP25 ),
inference(prop_rule,[status(thm)],]) ).
thf(16,plain,
( sP28
| sP35 ),
inference(prop_rule,[status(thm)],]) ).
thf(17,plain,
( sP32
| ~ sP28 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__39]) ).
thf(18,plain,
( ~ sP8
| ~ sP32
| sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
( ~ sP6
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(20,plain,
( ~ sP24
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(21,plain,
( ~ sP20
| sP37 ),
inference(all_rule,[status(thm)],]) ).
thf(22,plain,
( ~ sP47
| sP48 ),
inference(all_rule,[status(thm)],]) ).
thf(23,plain,
( ~ sP45
| sP3
| sP47 ),
inference(prop_rule,[status(thm)],]) ).
thf(24,plain,
( ~ sP23
| ~ sP5
| sP45 ),
inference(prop_rule,[status(thm)],]) ).
thf(25,plain,
( sP22
| ~ sP16 ),
inference(prop_rule,[status(thm)],]) ).
thf(26,plain,
( sP22
| sP49 ),
inference(prop_rule,[status(thm)],]) ).
thf(27,plain,
( sP4
| ~ sP22 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__12]) ).
thf(28,plain,
( ~ sP7
| ~ sP4
| sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(29,plain,
( ~ sP31
| ~ sP5
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(30,plain,
( ~ sP27
| sP20 ),
inference(all_rule,[status(thm)],]) ).
thf(31,plain,
( ~ sP24
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(32,plain,
( ~ sP26
| sP23 ),
inference(all_rule,[status(thm)],]) ).
thf(33,plain,
( ~ sP30
| sP31 ),
inference(all_rule,[status(thm)],]) ).
thf(34,plain,
( ~ sP18
| ~ sP2
| sP41 ),
inference(prop_rule,[status(thm)],]) ).
thf(35,plain,
( ~ sP36
| sP18 ),
inference(all_rule,[status(thm)],]) ).
thf(36,plain,
( ~ sP27
| sP36 ),
inference(all_rule,[status(thm)],]) ).
thf(37,plain,
( ~ sP41
| sP30
| sP43 ),
inference(prop_rule,[status(thm)],]) ).
thf(38,plain,
( sP1
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(39,plain,
( sP1
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(40,plain,
( sP43
| ~ sP1 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3]) ).
thf(41,plain,
( ~ sP19
| ~ sP43
| sP14 ),
inference(prop_rule,[status(thm)],]) ).
thf(42,plain,
( ~ sP40
| sP26 ),
inference(all_rule,[status(thm)],]) ).
thf(43,plain,
( ~ sP24
| sP19 ),
inference(all_rule,[status(thm)],]) ).
thf(44,plain,
( ~ sP29
| sP24 ),
inference(all_rule,[status(thm)],]) ).
thf(ax3,axiom,
sP6 ).
thf(ax2,axiom,
sP40 ).
thf(ax1,axiom,
sP27 ).
thf(refl_axiom,axiom,
sP29 ).
thf(45,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h4,h5,h3,h2,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,h4,h5,ax3,ax2,ax1,refl_axiom]) ).
thf(46,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h2,h1,h0]),tab_negimp(discharge,[h4,h5])],[h3,45,h4,h5]) ).
thf(47,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__1)],[h2,46,h3]) ).
thf(48,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__0)],[h1,47,h2]) ).
thf(49,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[48,h0]) ).
thf(0,theorem,
! [X1: $i,X2: $i] :
( ( rel @ X1 @ X2 )
=> ( deletefile1 @ X2 ) ),
inference(contra,[status(thm),contra(discharge,[h1])],[48,h1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV436^4 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n011.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 05:03:41 EDT 2023
% 0.13/0.35 % CPUTime :
% 3.57/3.76 % SZS status Theorem
% 3.57/3.76 % Mode: cade22grackle2xfee4
% 3.57/3.76 % Steps: 42649
% 3.57/3.76 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------