%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : CSR130^1 : 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 : 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 01:22:47 PM UTC 2025
% Result : Theorem 0.21s 0.47s
% Output : Proof 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_holdsDuring_THFTYPE_IiooI,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(ty_lMary_THFTYPE_i,type,
lMary_THFTYPE_i: $i ).
thf(ty_likes_THFTYPE_IiioI,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(ty_lYearFn_THFTYPE_IiiI,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(ty_n2009_THFTYPE_i,type,
n2009_THFTYPE_i: $i ).
thf(ty_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= ( ~ ( ~ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
=> ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
=> ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ~ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
=> ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( ~ sP1 ) = ( ~ sP5 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i,X2: $i] : ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ! [X1: $i > $i > $o] :
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
=> ! [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> $false ),
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
<=> ( sP12 = ( ~ sP5 ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ sP12 ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ sP1 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( sP12
=> ~ sP14 ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(con,conjecture,
~ sP10 ).
thf(h0,negated_conjecture,
sP10,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP16
| sP7
| ~ sP1
| sP11 ),
inference(mating_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP10
| ~ sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP6
| sP1 ),
inference(all_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP9
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP17
| ~ sP12
| ~ sP14 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP5
| sP17
| sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( sP13
| sP12
| ~ sP5 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( sP2
| sP14
| ~ sP5 ),
inference(prop_rule,[status(thm)],[]) ).
thf(9,plain,
( sP8
| sP1
| sP5 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP15
| sP3
| ~ sP13
| sP11 ),
inference(mating_rule,[status(thm)],[]) ).
thf(11,plain,
( ~ sP4
| sP3
| ~ sP2
| sP11 ),
inference(mating_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP16
| sP3
| ~ sP8
| sP11 ),
inference(mating_rule,[status(thm)],[]) ).
thf(13,plain,
( ~ sP10
| ~ sP3 ),
inference(all_rule,[status(thm)],[]) ).
thf(14,plain,
~ sP11,
inference(prop_rule,[status(thm)],[]) ).
thf(ax_007,axiom,
sP16 ).
thf(ax_004,axiom,
sP4 ).
thf(ax_002,axiom,
sP15 ).
thf(15,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,h0,ax_007,ax_004,ax_002]) ).
thf(0,theorem,
~ sP10,
inference(contra,[status(thm),contra(discharge,[h0])],[15,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR130^1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n023.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 16:57:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.21/0.47 % SZS status Theorem
% 0.21/0.47 % Mode: cade22grackle2xfee4
% 0.21/0.47 % Steps: 1091
% 0.21/0.47 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------