%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : CSR133^1 : 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 : n001.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 01:24:01 PM UTC 2025
% Result : Theorem 16.94s 17.30s
% Output : Proof 16.94s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
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_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_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(ty_lSue_THFTYPE_i,type,
lSue_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(sP1,plain,
( sP1
<=> ! [X1: $i] :
( ( eigen__4 != X1 )
= ( @+[X2: $o] : X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> @+[X1: $o] : X1 ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( eigen__4 != eigen__4 )
= sP2 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( lMary_THFTYPE_i = lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= ( ~ ( ~ ( sP2
=> ( lAnna_THFTYPE_i = lAnna_THFTYPE_i ) )
=> ( ( ^ [X1: $i,X2: $i] : sP2 )
= ( ^ [X1: $i,X2: $i] : ( X1 != X2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP2
= ( eigen__4 != eigen__4 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $o] :
( ( ( eigen__4 != eigen__4 )
= X1 )
=> ( X1
= ( eigen__4 != eigen__4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ sP4
=> ~ sP2 )
=> ( ( ^ [X1: $i,X2: $i] : ( X1 != X2 ) )
= ( ^ [X1: $i,X2: $i] : sP2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ~ ( ~ sP4
=> ~ sP2 )
=> ( ( ^ [X1: $i,X2: $i] : ( X1 != X2 ) )
= ( ^ [X1: $i,X2: $i] : sP2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ! [X1: $i > $i > $o,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ( X2 = lAnna_THFTYPE_i ) )
=> ( X1
= ( ^ [X3: $i,X4: $i] : ( X3 != X4 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( n2009_THFTYPE_i = n2009_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( sP8
= ( ~ ( ~ ( sP2
=> ( lAnna_THFTYPE_i = lAnna_THFTYPE_i ) )
=> ( ( ^ [X1: $i,X2: $i] : sP2 )
= ( ^ [X1: $i,X2: $i] : ( X1 != X2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( eigen__4 = eigen__4 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i )
= ( ~ sP11 ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( lBill_THFTYPE_i = lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBen_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( ( ^ [X1: $i,X2: $i] : ( X1 != X2 ) )
= ( ^ [X1: $i,X2: $i] : sP2 ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( sP2
=> ( X1 = lAnna_THFTYPE_i ) )
=> ( ( ^ [X2: $i,X3: $i] : sP2 )
= ( ^ [X2: $i,X3: $i] : ( X2 != X3 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ( ^ [X1: $i] : ( eigen__4 != X1 ) )
= ( ^ [X1: $i] : sP2 ) ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( lAnna_THFTYPE_i = lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( ~ sP4
=> ~ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= ( ~ ( ~ ( sP2
=> sP22 )
=> ( ( ^ [X1: $i,X2: $i] : sP2 )
= ( ^ [X1: $i,X2: $i] : ( X1 != X2 ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP18 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ! [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 = X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ( lSue_THFTYPE_i = lSue_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ( X1 != lBill_THFTYPE_i )
=> ~ sP2 )
=> sP19 ) ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( sP4
=> sP17 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( sP3
=> sP7 ) ),
introduced(definition,[new_symbols(definition,[sP31])]) ).
thf(sP32,plain,
( sP32
<=> ! [X1: $i > $i > $o,X2: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ~ sP2 )
=> ( X1
= ( ^ [X3: $i,X4: $i] : sP2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> $false ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( ~ ( sP2
=> sP22 )
=> ( ( ^ [X1: $i,X2: $i] : sP2 )
= ( ^ [X1: $i,X2: $i] : ( X1 != X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ! [X1: $i] :
( ( lMary_THFTYPE_i = X1 )
=> ( X1 = lMary_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ! [X1: $i] :
( ( ^ [X2: $i] : ( X1 != X2 ) )
= ( ^ [X2: $i] : sP2 ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
= ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ! [X1: $o] : ~ X1 ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ( sP2
=> sP22 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(sP40,plain,
( sP40
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP8 ) ),
introduced(definition,[new_symbols(definition,[sP40])]) ).
thf(sP41,plain,
( sP41
<=> ! [X1: $i,X2: $i] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP41])]) ).
thf(sP42,plain,
( sP42
<=> ! [X1: $o,X2: $o] :
( ( X1 = X2 )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP42])]) ).
thf(sP43,plain,
( sP43
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP34 ) ),
introduced(definition,[new_symbols(definition,[sP43])]) ).
thf(con,conjecture,
~ sP26 ).
thf(h0,negated_conjecture,
sP26,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP23
| sP4
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP1
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP21
| sP1 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP11
| sP23
| sP19 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( sP16
| ~ sP18
| sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP36
| sP21 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP19
| sP36 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP25
| sP10
| ~ sP37
| ~ sP16 ),
inference(mating_rule,[status(thm)],[]) ).
thf(9,plain,
( sP14
| sP8
| ~ sP34 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP40
| sP43
| ~ sP37
| ~ sP14 ),
inference(mating_rule,[status(thm)],[]) ).
thf(11,plain,
( sP6
| sP18
| ~ sP34 ),
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP25
| sP43
| ~ sP37
| ~ sP6 ),
inference(mating_rule,[status(thm)],[]) ).
thf(13,plain,
( sP39
| ~ sP22 ),
inference(prop_rule,[status(thm)],[]) ).
thf(14,plain,
( sP34
| ~ sP39 ),
inference(prop_rule,[status(thm)],[]) ).
thf(15,plain,
( sP24
| ~ sP30
| ~ sP34 ),
inference(prop_rule,[status(thm)],[]) ).
thf(16,plain,
( ~ sP5
| sP43
| ~ sP37
| ~ sP24 ),
inference(mating_rule,[status(thm)],[]) ).
thf(17,plain,
( ~ sP28
| ~ sP10 ),
inference(all_rule,[status(thm)],[]) ).
thf(18,plain,
( ~ sP7
| ~ sP2
| ~ sP15 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( ~ sP31
| ~ sP3
| sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
( ~ sP9
| sP31 ),
inference(all_rule,[status(thm)],[]) ).
thf(21,plain,
( ~ sP42
| sP9 ),
inference(all_rule,[status(thm)],[]) ).
thf(22,plain,
sP15,
inference(prop_rule,[status(thm)],[]) ).
thf(23,plain,
( ~ sP20
| ~ sP43 ),
inference(all_rule,[status(thm)],[]) ).
thf(24,plain,
( ~ sP12
| sP20 ),
inference(all_rule,[status(thm)],[]) ).
thf(25,plain,
( ~ sP26
| sP12 ),
inference(all_rule,[status(thm)],[]) ).
thf(26,plain,
( ~ sP32
| sP28 ),
inference(all_rule,[status(thm)],[]) ).
thf(27,plain,
~ sP33,
inference(prop_rule,[status(thm)],[]) ).
thf(28,plain,
sP22,
inference(prop_rule,[status(thm)],[]) ).
thf(29,plain,
( ~ sP8
| sP30
| ~ sP27
| ~ sP17 ),
inference(mating_rule,[status(thm)],[]) ).
thf(30,plain,
sP27,
inference(prop_rule,[status(thm)],[]) ).
thf(31,plain,
( ~ sP29
| ~ sP4
| sP17 ),
inference(prop_rule,[status(thm)],[]) ).
thf(32,plain,
( ~ sP35
| sP29 ),
inference(all_rule,[status(thm)],[]) ).
thf(33,plain,
( ~ sP41
| sP35 ),
inference(all_rule,[status(thm)],[]) ).
thf(34,plain,
sP41,
inference(eq_sym,[status(thm)],[]) ).
thf(35,plain,
sP13,
inference(prop_rule,[status(thm)],[]) ).
thf(36,plain,
( sP37
| ~ sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(37,plain,
( ~ sP38
| sP33 ),
inference(all_rule,[status(thm)],[]) ).
thf(38,plain,
( sP2
| sP38 ),
inference(choice_rule,[status(thm)],[]) ).
thf(39,plain,
sP42,
inference(eq_sym,[status(thm)],[]) ).
thf(40,plain,
( ~ sP26
| sP32 ),
inference(all_rule,[status(thm)],[]) ).
thf(ax_009,axiom,
sP5 ).
thf(ax_008,axiom,
sP25 ).
thf(ax_003,axiom,
sP40 ).
thf(41,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([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,h0,ax_009,ax_008,ax_003]) ).
thf(0,theorem,
~ sP26,
inference(contra,[status(thm),contra(discharge,[h0])],[41,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR133^1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 8 17:11:23 EDT 2025
% 0.12/0.33 % CPUTime :
% 16.94/17.30 % SZS status Theorem
% 16.94/17.30 % Mode: mode473
% 16.94/17.30 % Inferences: 4631
% 16.94/17.30 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------