%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP128^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n013.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 01:45:10 PM UTC 2025
% Result : Theorem 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_finite746615251te_a_c,type,
finite746615251te_a_c: ( a > c > c ) > $o ).
thf(ty_f1,type,
f1: a > c > c ).
thf(sP1,plain,
( sP1
<=> ( finite746615251te_a_c @ f1 ) ),
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_0_assms_I2_J,axiom,
sP1 ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h0])],[fact_0_assms_I2_J,h0]) ).
thf(0,theorem,
sP1,
inference(contra,[status(thm),contra(discharge,[h0])],[1,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : ITP128^1 : TPTP v9.2.0. Released v7.5.0.
% 0.02/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 8 18:36:08 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 % Mode: cade22sinegrackle2x6978
% 0.18/0.40 % Steps: 0
% 0.18/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------