%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : CSR139^1 : 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 : n016.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 01:22:49 PM UTC 2025
% Result : Theorem 0.18s 0.48s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_lAnna_THFTYPE_i,type,
lAnna_THFTYPE_i: $i ).
thf(ty_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(ty_lMary_THFTYPE_i,type,
lMary_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(sP1,plain,
( sP1
<=> ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
( ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i )
=> ( ( ^ [X2: $i,X3: $i] : ~ $false )
= parent_THFTYPE_IiioI ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
( ( ~ $false )
= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i > $i > $o,X2: $i] :
( ~ ( ( X1 @ X2 @ lBill_THFTYPE_i )
=> ~ ( parent_THFTYPE_IiioI @ X2 @ lAnna_THFTYPE_i ) )
=> ( X1 = parent_THFTYPE_IiioI ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( ^ [X1: $i] : ~ $false )
= ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
( ( ^ [X2: $i] : ~ $false )
= ( parent_THFTYPE_IiioI @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( ~ $false ) = sP1 ) ),
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
<=> ! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ~ ( ( X2 @ X3 @ lBill_THFTYPE_i )
=> ~ ( X1 @ X3 @ lAnna_THFTYPE_i ) )
=> ( X2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> $false ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( ( ^ [X1: $i,X2: $i] : ~ sP10 )
= parent_THFTYPE_IiioI ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( sP8
=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(con,conjecture,
~ sP9 ).
thf(h0,negated_conjecture,
sP9,
inference(assume_negation,[status(cth)],[con]) ).
thf(1,plain,
( ~ sP7
| sP10
| sP1 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP3
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP5
| sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP6
| sP5 ),
inference(all_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP11
| sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP12
| ~ sP8
| sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP2
| sP12 ),
inference(all_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP4
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(9,plain,
( ~ sP9
| sP4 ),
inference(all_rule,[status(thm)],[]) ).
thf(10,plain,
~ sP10,
inference(prop_rule,[status(thm)],[]) ).
thf(ax_009,axiom,
~ sP1 ).
thf(ax_008,axiom,
sP8 ).
thf(11,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,6,7,8,9,10,h0,ax_009,ax_008]) ).
thf(0,theorem,
~ sP9,
inference(contra,[status(thm),contra(discharge,[h0])],[11,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CSR139^1 : TPTP v9.2.0. Released v4.1.0.
% 0.03/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.11/0.33 % Computer : n016.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 8 16:59:38 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 % Mode: cade22grackle2xfee4
% 0.18/0.48 % Steps: 660
% 0.18/0.48 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------