%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO344^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n024.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 03:23:15 PM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cQ,type,
cQ: $i > $o ).
thf(ty_cC,type,
cC: $i ).
thf(ty_cD,type,
cD: $i ).
thf(sP1,plain,
( sP1
<=> ( cQ @ cC ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cC = cD ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cQ @ cD ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cTHM618,conjecture,
( ~ ( sP2
=> ~ sP1 )
=> sP3 ) ).
thf(h0,negated_conjecture,
~ ( ~ ( sP2
=> ~ sP1 )
=> sP3 ),
inference(assume_negation,[status(cth)],[cTHM618]) ).
thf(h1,assumption,
~ ( sP2
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h3,assumption,
sP2,
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP1
| sP3
| ~ sP2 ),
inference(mating_rule,[status(thm)],[]) ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h3,h4,h1,h2,h0])],[1,h3,h4,h2]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,2,h3,h4]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,3,h1,h2]) ).
thf(0,theorem,
( ~ ( sP2
=> ~ sP1 )
=> sP3 ),
inference(contra,[status(thm),contra(discharge,[h0])],[4,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO344^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n024.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 : Thu Oct 9 01:22:53 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % Mode: cade22grackle2xfee4
% 0.12/0.37 % Steps: 8
% 0.12/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------