%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO370^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n019.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 03:25:26 PM UTC 2025
% Result : Theorem 0.22s 0.38s
% Output : Proof 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cP,type,
cP: ( $i > $o ) > $o ).
thf(ty_cA,type,
cA: $i > $o ).
thf(sP1,plain,
( sP1
<=> ( cP @ cA ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(cTRIVEXT3,conjecture,
( sP1
=> sP1 ) ).
thf(h0,negated_conjecture,
~ ( sP1
=> sP1 ),
inference(assume_negation,[status(cth)],[cTRIVEXT3]) ).
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_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,1,h1,h2]) ).
thf(0,theorem,
( sP1
=> sP1 ),
inference(contra,[status(thm),contra(discharge,[h0])],[2,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SYO370^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Oct 9 00:44:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.22/0.38 % SZS status Theorem
% 0.22/0.38 % Mode: mode213
% 0.22/0.38 % Inferences: 0
% 0.22/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------