%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO015^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n009.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 : Sat Feb 28 09:54:15 AM UTC 2026
% Result : Theorem 0.18s 0.35s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $o ).
thf(sP1,plain,
( sP1
<=> a ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(conj,conjecture,
( sP1 != ( ~ sP1 ) ) ).
thf(h0,negated_conjecture,
( sP1 = ( ~ sP1 ) ),
inference(assume_negation,[status(cth)],[conj]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h1,h2,h0])],[h1,h2]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h2,h1,h0])],[h1,h2]) ).
thf(3,plain,
$false,
inference(tab_bq,[status(thm),assumptions([h0]),tab_bq(discharge,[h1,h2]),tab_bq(discharge,[h2,h1])],[h0,1,2,h1,h2,h2,h1]) ).
thf(0,theorem,
( sP1 != ( ~ sP1 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO015^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Wed Feb 25 06:16:25 EST 2026
% 0.15/0.33 % CPUTime :
% 0.18/0.35 % SZS status Theorem
% 0.18/0.35 % Mode: cade22grackle2xfee4
% 0.18/0.35 % Steps: 0
% 0.18/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------