%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP222^1 : 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 : n025.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 09:29:50 AM UTC 2026
% Result : Theorem 0.51s 0.90s
% Output : Proof 0.51s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_summarya,type,
summarya: vEBT_VEBT ).
thf(ty_extend5688581933313929465d_enat,type,
extend5688581933313929465d_enat: extended_enat ).
thf(ty_vEBT_VEBT_elim_dead,type,
vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT ).
thf(sP1,plain,
( sP1
<=> ( ( vEBT_VEBT_elim_dead @ summarya @ extend5688581933313929465d_enat )
= summarya ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(conj_0,conjecture,
sP1 ).
thf(h0,negated_conjecture,
~ sP1,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(fact_1__C2_OIH_C_I2_J,axiom,
sP1 ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h0])],[fact_1__C2_OIH_C_I2_J,h0]) ).
thf(0,theorem,
sP1,
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP222^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.15/0.34 % Computer : n025.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Feb 26 07:57:57 EST 2026
% 0.15/0.34 % CPUTime :
% 0.51/0.90 % SZS status Theorem
% 0.51/0.90 % Mode: cade22sinegrackle2x6978
% 0.51/0.90 % Steps: 0
% 0.51/0.90 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------