%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR132^1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n023.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 Oct 9 01:24:00 PM UTC 2025
% Result : Theorem 82.96s 83.14s
% Output : Proof 82.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 102
% Syntax : Number of formulae : 112 ( 20 unt; 0 typ; 6 def)
% Number of atoms : 364 ( 46 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 460 ( 174 ~; 65 |; 0 &; 127 @)
% ( 50 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 69 ( 66 usr; 64 con; 0-2 aty)
% ( 7 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 80 ( 60 ^; 20 !; 0 ?; 80 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(ty_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(ty_eigen__4,type,
eigen__4: $i ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(ty_lBen_THFTYPE_i,type,
lBen_THFTYPE_i: $i ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(ty_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
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] :
~ ( parent_THFTYPE_IiioI @ eigen__2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[eigen__3])]) ).
thf(eigendef_eigen__1,definition,
( eigen__1
= ( eps__0
@ ^ [X1: $i] :
~ ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__1])]) ).
thf(eigendef_eigen__6,definition,
( eigen__6
= ( eps__0
@ ^ [X1: $i] :
( ( ^ [X2: $i] : ~ $false )
!= ( ^ [X2: $i] : ~ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__6])]) ).
thf(eigendef_eigen__8,definition,
( eigen__8
= ( eps__0
@ ^ [X1: $i] :
( ( ~ $false ) != ( ~ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__8])]) ).
thf(eigendef_eigen__2,definition,
( eigen__2
= ( eps__0
@ ^ [X1: $i] :
~ ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[eigen__2])]) ).
thf(eigendef_eigen__4,definition,
( eigen__4
= ( eps__0
@ ^ [X1: $i] :
~ ( likes_THFTYPE_IiioI @ eigen__1 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[eigen__4])]) ).
thf(sP1,plain,
( sP1
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ X1 )
= ( ^ [X2: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ( likes_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ $false ) ) )
=> ( parent_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
( ( ^ [X2: $i] : ~ $false )
= ( ^ [X2: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( X2 @ X3 @ lBill_THFTYPE_i )
=> ~ ( X1 @ X3 @ lAnna_THFTYPE_i ) )
=> ( X2
= ( ^ [X4: $i,X5: $i] : ~ $false ) ) )
=> ( X1
= ( ^ [X4: $i,X5: $i] : ~ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( likes_THFTYPE_IiioI @ eigen__1 @ eigen__4 )
= ( ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i )
= ( ~ ( ~ ( ~ ( ~ $false
=> ~ ( likes_THFTYPE_IiioI @ eigen__2 @ lAnna_THFTYPE_i ) )
=> ( ( ^ [X1: $i,X2: $i] : ~ $false )
= ( ^ [X1: $i,X2: $i] : ~ $false ) ) )
=> ( likes_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ $false ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( n2009_THFTYPE_i = n2009_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i] : ( !! @ ( likes_THFTYPE_IiioI @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ( ^ [X1: $i] : ~ $false )
= ( ^ [X1: $i] : ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ eigen__1 @ X1 )
= ( ~ $false ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> $false ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( ~ ( ~ ( ~ ( ~ sP14
=> ~ ( likes_THFTYPE_IiioI @ eigen__2 @ lAnna_THFTYPE_i ) )
=> ( ( ^ [X1: $i,X2: $i] : ~ sP14 )
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) )
=> ( likes_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP10
= ( ~ ( ~ ( ~ sP16
=> ( likes_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) )
=> ( parent_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ~ sP14
=> ~ ( likes_THFTYPE_IiioI @ eigen__2 @ lAnna_THFTYPE_i ) )
=> ( ( ^ [X1: $i,X2: $i] : ~ sP14 )
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) )
=> ( likes_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( parent_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ! [X1: $i] : ( !! @ ( parent_THFTYPE_IiioI @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP11 ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( parent_THFTYPE_IiioI @ eigen__2 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( likes_THFTYPE_IiioI @ eigen__1 @ eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ! [X1: $i] :
( ( ~ sP14 ) = ( ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( !! @ ( parent_THFTYPE_IiioI @ eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [X1: $i > $i > $o,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) )
=> ( X1
= ( ^ [X3: $i,X4: $i] : ~ sP14 ) ) )
=> ( likes_THFTYPE_IiioI
= ( ^ [X3: $i,X4: $i] : ~ sP14 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP10 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( likes_THFTYPE_IiioI
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( ( ^ [X1: $i,X2: $i] : ~ sP14 )
= ( ^ [X1: $i,X2: $i] : ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ( ~ ( ~ sP14
=> ~ ( likes_THFTYPE_IiioI @ eigen__2 @ lAnna_THFTYPE_i ) )
=> sP31 ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( ( ~ sP11 )
= ( ~ ( ~ sP32
=> sP29 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: $i > $i > $o,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) )
=> ( X1
= ( ^ [X3: $i,X4: $i] : ~ sP14 ) ) )
=> sP19 ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( likes_THFTYPE_IiioI @ X1 @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ) )
=> sP29 )
=> sP19 ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( ~ sP32
=> sP29 ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( sP23 = ( ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( ~ sP16
=> sP29 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( sP10 = ( ~ sP37 ) ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ~ sP14
=> ~ ( likes_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ) )
=> sP31 )
=> sP29 ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ( ( ~ sP21 ) = ( ~ sP37 ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( ( likes_THFTYPE_IiioI @ eigen__1 )
= ( ^ [X1: $i] : ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(sP44,plain,
( sP44
<=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP44])]) ).
thf(sP45,plain,
( sP45
<=> ( !! @ ( likes_THFTYPE_IiioI @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP45])]) ).
thf(sP46,plain,
( sP46
<=> ! [X1: $i] :
( ( parent_THFTYPE_IiioI @ eigen__2 @ X1 )
= ( ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP46])]) ).
thf(sP47,plain,
( sP47
<=> ( ~ sP39
=> sP19 ) ),
introduced(definition,[new_symbols(definition,[sP47])]) ).
thf(sP48,plain,
( sP48
<=> ( ( parent_THFTYPE_IiioI @ eigen__2 )
= ( ^ [X1: $i] : ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP48])]) ).
thf(sP49,plain,
( sP49
<=> ( ( ~ sP14 ) = ( ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP49])]) ).
thf(sP50,plain,
( sP50
<=> ! [X1: $i] :
( ( parent_THFTYPE_IiioI @ X1 )
= ( ^ [X2: $i] : ~ sP14 ) ) ),
introduced(definition,[new_symbols(definition,[sP50])]) ).
thf(con,conjecture,
~ sP6 ).
thf(h1,negated_conjecture,
sP6,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP38
| sP23
| sP14 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
sP49,
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP46
| sP38 ),
inference(all_rule,[status(thm)],[]) ).
thf(4,plain,
( sP25
| ~ sP49 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__8]) ).
thf(5,plain,
( ~ sP48
| sP46 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( sP12
| ~ sP25 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP16
| ~ sP20
| ~ sP33 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP50
| sP48 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( sP4
| ~ sP12 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__6]) ).
thf(10,plain,
( ~ sP39
| sP16
| sP29 ),
inference(prop_rule,[status(thm)],[]) ).
thf(11,plain,
( sP31
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP19
| sP50 ),
inference(prop_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP7
| sP24
| sP14 ),
inference(prop_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP47
| sP39
| sP19 ),
inference(prop_rule,[status(thm)],[]) ).
thf(15,plain,
( sP32
| ~ sP31 ),
inference(prop_rule,[status(thm)],[]) ).
thf(16,plain,
( sP17
| ~ sP10
| sP47 ),
inference(prop_rule,[status(thm)],[]) ).
thf(17,plain,
( ~ sP13
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(18,plain,
( sP37
| ~ sP32 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( ~ sP43
| sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
( ~ sP28
| sP3
| ~ sP44
| ~ sP17 ),
inference(mating_rule,[status(thm)],[]) ).
thf(21,plain,
( sP40
| sP10
| ~ sP37 ),
inference(prop_rule,[status(thm)],[]) ).
thf(22,plain,
( sP15
| sP20
| ~ sP37 ),
inference(prop_rule,[status(thm)],[]) ).
thf(23,plain,
( sP34
| ~ sP11
| ~ sP37 ),
inference(prop_rule,[status(thm)],[]) ).
thf(24,plain,
( sP42
| ~ sP21
| ~ sP37 ),
inference(prop_rule,[status(thm)],[]) ).
thf(25,plain,
( sP8
| sP33
| ~ sP37 ),
inference(prop_rule,[status(thm)],[]) ).
thf(26,plain,
( ~ sP2
| sP43 ),
inference(all_rule,[status(thm)],[]) ).
thf(27,plain,
( ~ sP30
| sP18
| ~ sP44
| ~ sP8 ),
inference(mating_rule,[status(thm)],[]) ).
thf(28,plain,
( ~ sP1
| sP18
| ~ sP44
| ~ sP42 ),
inference(mating_rule,[status(thm)],[]) ).
thf(29,plain,
( ~ sP22
| sP18
| ~ sP44
| ~ sP34 ),
inference(mating_rule,[status(thm)],[]) ).
thf(30,plain,
( ~ sP5
| sP18
| ~ sP44
| ~ sP15 ),
inference(mating_rule,[status(thm)],[]) ).
thf(31,plain,
( ~ sP28
| sP18
| ~ sP44
| ~ sP40 ),
inference(mating_rule,[status(thm)],[]) ).
thf(32,plain,
( ~ sP36
| ~ sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(33,plain,
( ~ sP35
| sP36 ),
inference(all_rule,[status(thm)],[]) ).
thf(34,plain,
( ~ sP41
| ~ sP18 ),
inference(all_rule,[status(thm)],[]) ).
thf(35,plain,
( sP45
| ~ sP24 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__4]) ).
thf(36,plain,
~ sP14,
inference(prop_rule,[status(thm)],[]) ).
thf(37,plain,
( sP26
| ~ sP23 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__3]) ).
thf(38,plain,
( sP21
| ~ sP26 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__2]) ).
thf(39,plain,
( sP11
| ~ sP45 ),
inference(eigen_choice_rule,[status(thm),assumptions([h0])],[h0,eigendef_eigen__1]) ).
thf(40,plain,
sP9,
inference(prop_rule,[status(thm)],[]) ).
thf(41,plain,
( sP44
| ~ sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(42,plain,
( ~ sP29
| sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(43,plain,
( ~ sP27
| sP41 ),
inference(all_rule,[status(thm)],[]) ).
thf(44,plain,
( ~ sP6
| sP27 ),
inference(all_rule,[status(thm)],[]) ).
thf(45,plain,
( ~ sP6
| sP35 ),
inference(all_rule,[status(thm)],[]) ).
thf(ax_008,axiom,
sP28 ).
thf(ax_006,axiom,
sP5 ).
thf(ax_005,axiom,
sP22 ).
thf(ax_001,axiom,
sP1 ).
thf(ax,axiom,
sP30 ).
thf(46,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,h1,ax_008,ax_006,ax_005,ax_001,ax]) ).
thf(47,plain,
$false,
inference(eigenvar_choice,[status(thm),assumptions([h1]),eigenvar_choice(discharge,[h0])],[46,h0]) ).
thf(0,theorem,
~ sP6,
inference(contra,[status(thm),contra(discharge,[h1])],[46,h1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : CSR132^1 : TPTP v9.2.0. Released v4.1.0.
% 0.13/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 8 17:12:08 EDT 2025
% 0.15/0.36 % CPUTime :
% 82.96/83.14 % SZS status Theorem
% 82.96/83.14 % Mode: mode460
% 82.96/83.14 % Inferences: 140001
% 82.96/83.14 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------