%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : CSR153^3 : 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 : n015.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 01:22:58 PM UTC 2025
% Result : Theorem 0.41s 0.68s
% Output : Proof 0.41s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_lBill_THFTYPE_i,type,
lBill_THFTYPE_i: $i ).
thf(ty_eigen__4,type,
eigen__4: $i ).
thf(ty_lBob_THFTYPE_i,type,
lBob_THFTYPE_i: $i ).
thf(ty_lSue_THFTYPE_i,type,
lSue_THFTYPE_i: $i ).
thf(sP1,plain,
( sP1
<=> ( ( lBob_THFTYPE_i != lBill_THFTYPE_i )
=> ( lSue_THFTYPE_i = lBob_THFTYPE_i ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ~ sP1
=> ! [X1: $i,X2: $i] : ( X1 != X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( lBob_THFTYPE_i = lBill_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( lSue_THFTYPE_i = lBob_THFTYPE_i ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i,X2: $i] : ( X1 != X2 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> $false ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i] : ( eigen__4 != X1 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i > $i > $o] :
( ~ ( ( X1 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
=> ~ ( X1 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) )
=> ! [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(con,conjecture,
~ sP8 ).
thf(h0,negated_conjecture,
sP8,
inference(assume_negation,[status(cth)],[con]) ).
thf(h1,assumption,
lSue_THFTYPE_i != lBill_THFTYPE_i,
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP7
| sP6 ),
inference(all_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP5
| sP7 ),
inference(all_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP1
| sP3
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( ~ sP2
| sP1
| sP5 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP8
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(6,plain,
~ sP6,
inference(prop_rule,[status(thm)],[]) ).
thf(ax_004,axiom,
~ sP3 ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h2,h0])],[1,2,3,4,5,6,h0,ax_004,h2]) ).
thf(ax_002,axiom,
~ ( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
=> sP4 ) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[ax_002,7,h1,h2]) ).
thf(0,theorem,
~ sP8,
inference(contra,[status(thm),contra(discharge,[h0])],[8,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR153^3 : TPTP v9.2.0. Released v5.3.0.
% 0.04/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 8 16:54:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.41/0.68 % SZS status Theorem
% 0.41/0.68 % Mode: cade22sinegrackle2x6978
% 0.41/0.68 % Steps: 15125
% 0.41/0.68 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------