%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO076^5 : 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 : n028.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 03:24:52 PM UTC 2025
% Result : Theorem 0.15s 0.37s
% Output : Proof 0.15s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cP,type,
cP: $o ).
thf(ty_cQ,type,
cQ: $o ).
thf(sP1,plain,
( sP1
<=> cP ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> cQ ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cTHM114,conjecture,
( ~ ( sP1
=> ~ ( sP1
=> sP2 ) )
=> sP2 ) ).
thf(h0,negated_conjecture,
~ ( ~ ( sP1
=> ~ ( sP1
=> sP2 ) )
=> sP2 ),
inference(assume_negation,[status(cth)],[cTHM114]) ).
thf(h1,assumption,
~ ( sP1
=> ~ ( sP1
=> sP2 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h3,assumption,
sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
( sP1
=> sP2 ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h6,assumption,
sP2,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h5,h3,h4,h1,h2,h0])],[h3,h5]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h6,h3,h4,h1,h2,h0])],[h6,h2]) ).
thf(3,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h4,1,2,h5,h6]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,3,h3,h4]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,4,h1,h2]) ).
thf(0,theorem,
( ~ ( sP1
=> ~ ( sP1
=> sP2 ) )
=> sP2 ),
inference(contra,[status(thm),contra(discharge,[h0])],[5,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SYO076^5 : TPTP v9.2.0. Released v4.0.0.
% 0.09/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Oct 9 00:59:38 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % SZS status Theorem
% 0.15/0.37 % Mode: mode213
% 0.15/0.37 % Inferences: 0
% 0.15/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------