%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : CSR131^2 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -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 : 300s
% DateTime : Thu Oct 9 01:22:47 PM UTC 2025
% Result : Theorem 0.19s 0.49s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(ty_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(ty_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(ty_parent_THFTYPE_IiioI,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(ty_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(ty_lAnna_THFTYPE_i,type,
lAnna_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_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(sP1,plain,
( sP1
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] : ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> $false ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
= ( ~ ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
= ( ~ ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) )
= ( ~ ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( ( parent_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ sP8 ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ lBill_THFTYPE_i @ lAnna_THFTYPE_i ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP12 = ( ~ sP16 ) ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( sP14
= ( ~ ( ~ ( ~ ( sP12
=> ~ sP10 )
=> ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ~ ( ( parent_THFTYPE_IiioI @ X1 @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ) )
=> ! [X2: $i,X3: $i] : ( parent_THFTYPE_IiioI @ X2 @ X3 ) )
=> ! [X2: $i,X3: $i] : ( parent_THFTYPE_IiioI @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBen_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP15 ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ! [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 ) )
=> ! [X4: $i,X5: $i] : ( X2 @ X4 @ X5 ) )
=> ! [X4: $i,X5: $i] : ( X1 @ X4 @ X5 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ! [X1: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( ~ ( ~ ( sP12
=> ~ sP10 )
=> ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ) )
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( sP14
= ( ~ ( ~ sP4
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( ~ sP4
=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(sP27,plain,
( sP27
<=> ! [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 ) )
=> ! [X2: $i,X3: $i] : ( likes_THFTYPE_IiioI @ X2 @ X3 ) )
=> ! [X2: $i,X3: $i] : ( parent_THFTYPE_IiioI @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP27])]) ).
thf(sP28,plain,
( sP28
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP26 ) ),
introduced(definition,[new_symbols(definition,[sP28])]) ).
thf(sP29,plain,
( sP29
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP24 ) ),
introduced(definition,[new_symbols(definition,[sP29])]) ).
thf(sP30,plain,
( sP30
<=> ( ~ ( sP12
=> ~ sP10 )
=> ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP30])]) ).
thf(sP31,plain,
( sP31
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP20 ) ),
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 )
=> ~ ( parent_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) )
=> ! [X3: $i,X4: $i] : ( X1 @ X3 @ X4 ) )
=> ! [X3: $i,X4: $i] : ( parent_THFTYPE_IiioI @ X3 @ X4 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP32])]) ).
thf(sP33,plain,
( sP33
<=> ! [X1: $i,X2: $i] : ( parent_THFTYPE_IiioI @ X1 @ X2 ) ),
introduced(definition,[new_symbols(definition,[sP33])]) ).
thf(sP34,plain,
( sP34
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP16 ) ),
introduced(definition,[new_symbols(definition,[sP34])]) ).
thf(sP35,plain,
( sP35
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP10 ) ),
introduced(definition,[new_symbols(definition,[sP35])]) ).
thf(sP36,plain,
( sP36
<=> ( ( ~ sP20 ) = ( ~ sP16 ) ) ),
introduced(definition,[new_symbols(definition,[sP36])]) ).
thf(sP37,plain,
( sP37
<=> ( sP12
=> ~ sP10 ) ),
introduced(definition,[new_symbols(definition,[sP37])]) ).
thf(sP38,plain,
( sP38
<=> ( sP8 = ( ~ sP16 ) ) ),
introduced(definition,[new_symbols(definition,[sP38])]) ).
thf(sP39,plain,
( sP39
<=> ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
introduced(definition,[new_symbols(definition,[sP39])]) ).
thf(con,conjecture,
~ sP22 ).
thf(h0,negated_conjecture,
sP22,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP37
| ~ sP12
| ~ sP10 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP30
| sP37
| sP39 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP24
| sP30
| sP33 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( sP18
| ~ sP14
| sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP6
| sP29
| ~ sP18
| sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP23
| sP15 ),
inference(all_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP39
| sP23 ),
inference(all_rule,[status(thm)],[]) ).
thf(8,plain,
( sP13
| sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(9,plain,
( sP4
| ~ sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( sP26
| ~ sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(11,plain,
( sP25
| sP14
| ~ sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP6
| sP28
| ~ sP25
| sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP3
| sP20 ),
inference(all_rule,[status(thm)],[]) ).
thf(14,plain,
( ~ sP33
| sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(15,plain,
( sP17
| sP12
| ~ sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(16,plain,
( sP9
| sP10
| ~ sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(17,plain,
( sP38
| ~ sP8
| sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(18,plain,
( sP36
| ~ sP20
| ~ sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(19,plain,
( sP11
| ~ sP15
| ~ sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(20,plain,
( sP7
| ~ sP14
| sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(21,plain,
( sP7
| sP14
| ~ sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(22,plain,
~ sP5,
inference(prop_rule,[status(thm)],[]) ).
thf(23,plain,
( ~ sP1
| sP34
| ~ sP17
| sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(24,plain,
( ~ sP35
| sP34
| ~ sP9
| sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(25,plain,
( ~ sP2
| sP34
| ~ sP38
| sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(26,plain,
( ~ sP31
| sP34
| ~ sP36
| sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(27,plain,
( ~ sP21
| sP34
| ~ sP11
| sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(28,plain,
( ~ sP6
| sP34
| ~ sP7
| sP5 ),
inference(mating_rule,[status(thm)],[]) ).
thf(29,plain,
( ~ sP27
| ~ sP29 ),
inference(all_rule,[status(thm)],[]) ).
thf(30,plain,
( ~ sP32
| sP27 ),
inference(all_rule,[status(thm)],[]) ).
thf(31,plain,
( ~ sP19
| ~ sP28 ),
inference(all_rule,[status(thm)],[]) ).
thf(32,plain,
( ~ sP19
| ~ sP34 ),
inference(all_rule,[status(thm)],[]) ).
thf(33,plain,
( ~ sP32
| sP19 ),
inference(all_rule,[status(thm)],[]) ).
thf(34,plain,
( ~ sP22
| sP32 ),
inference(all_rule,[status(thm)],[]) ).
thf(ax_035,axiom,
sP6 ).
thf(ax_028,axiom,
sP21 ).
thf(ax_026,axiom,
sP31 ).
thf(ax_023,axiom,
sP2 ).
thf(ax_010,axiom,
sP35 ).
thf(ax_003,axiom,
sP1 ).
thf(35,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,h0,ax_035,ax_028,ax_026,ax_023,ax_010,ax_003]) ).
thf(0,theorem,
~ sP22,
inference(contra,[status(thm),contra(discharge,[h0])],[35,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : CSR131^2 : TPTP v9.2.0. Released v4.1.0.
% 0.08/0.13 % Command : lash -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 : 300
% 0.13/0.34 % DateTime : Wed Oct 8 17:09:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 % Mode: cade22sinegrackle2x6978
% 0.19/0.49 % Steps: 873
% 0.19/0.49 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------