%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : CSR152^3 : TPTP v9.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n019.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 01:22:57 PM UTC 2025
% Result : Theorem 61.37s 61.06s
% Output : Proof 61.37s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_lEntity_THFTYPE_i,type,
lEntity_THFTYPE_i: $i ).
thf(ty_instance_THFTYPE_IiioI,type,
instance_THFTYPE_IiioI: $i > $i > $o ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_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(sP1,plain,
( sP1
<=> ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ ~ $false ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( knows_THFTYPE_IiooI @ lChris_THFTYPE_i @ sP6 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> $false ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( sP2 = sP6 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ( ~ sP8 ) = sP6 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(con,conjecture,
sP7 ).
thf(h0,negated_conjecture,
~ sP7,
inference(assume_negation,[status(cth)],[con]) ).
thf(h1,assumption,
instance_THFTYPE_IiioI @ eigen__0 @ lEntity_THFTYPE_i,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP1
| ~ sP5
| sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP2
| sP1 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( sP9
| sP2
| sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
~ sP8,
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( sP10
| sP8
| ~ sP6 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP3
| sP7
| ~ sP10
| sP8 ),
inference(mating_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP4
| sP7
| ~ sP9
| sP8 ),
inference(mating_rule,[status(thm)],[]) ).
thf(ax_002,axiom,
sP4 ).
thf(ax_001,axiom,
sP5 ).
thf(ax,axiom,
sP3 ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,6,7,h0,ax_002,ax_001,ax]) ).
thf(ax1165,axiom,
~ ! [X1: $i] :
~ ( instance_THFTYPE_IiioI @ X1 @ lEntity_THFTYPE_i ) ).
thf(9,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[ax1165,8,h1]) ).
thf(0,theorem,
sP7,
inference(contra,[status(thm),contra(discharge,[h0])],[9,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : CSR152^3 : TPTP v9.2.0. Released v5.3.0.
% 0.04/0.15 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 8 16:56:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 61.37/61.06 % SZS status Theorem
% 61.37/61.06 % Mode: cade22sinegrackle2x78f3
% 61.37/61.06 % Steps: 2592
% 61.37/61.06 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------