%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP164^1 : 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 : 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 01:45:18 PM UTC 2025
% Result : Theorem 0.20s 0.45s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_product_unit,type,
product_unit: $tType ).
thf(ty_refine424419629nres_a,type,
refine424419629nres_a: $tType ).
thf(ty_refine119808503unit_a,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(ty_f,type,
f: product_unit > refine424419629nres_a ).
thf(ty_bot_bo658782032t_unit,type,
bot_bo658782032t_unit: refine787176636t_unit ).
thf(ty_bot_bo529555393nres_a,type,
bot_bo529555393nres_a: refine424419629nres_a ).
thf(sP1,plain,
( sP1
<=> ! [X1: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ bot_bo658782032t_unit @ X1 )
= bot_bo529555393nres_a ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(conj_0,conjecture,
sP2 ).
thf(h0,negated_conjecture,
~ sP2,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(1,plain,
( ~ sP1
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(fact_3_bind__SUCCEED,axiom,
sP1 ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h0])],[1,h0,fact_3_bind__SUCCEED]) ).
thf(0,theorem,
sP2,
inference(contra,[status(thm),contra(discharge,[h0])],[2,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP164^1 : TPTP v9.2.0. Released v7.5.0.
% 0.07/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 8 18:15:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 % Mode: cade22sinegrackle2x6978
% 0.20/0.45 % Steps: 378
% 0.20/0.45 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------