%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO118^5 : 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 : n001.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 03:24:57 PM UTC 2025
% Result : Theorem 0.14s 0.35s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_p,type,
p: $o ).
thf(ty_q,type,
q: $o ).
thf(sP1,plain,
( sP1
<=> p ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(cPEIRCE,conjecture,
( ( ( sP1
=> q )
=> sP1 )
=> sP1 ) ).
thf(h0,negated_conjecture,
~ ( ( ( sP1
=> q )
=> sP1 )
=> sP1 ),
inference(assume_negation,[status(cth)],[cPEIRCE]) ).
thf(h1,assumption,
( ( sP1
=> q )
=> sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP1
=> q ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
~ q,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h4,h5,h3,h1,h2,h0])],[h4,h2]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h4,h5])],[h3,1,h4,h5]) ).
thf(3,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h4,h1,h2,h0])],[h4,h2]) ).
thf(4,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,2,3,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
=> q )
=> sP1 )
=> sP1 ),
inference(contra,[status(thm),contra(discharge,[h0])],[5,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO118^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Oct 9 00:49:53 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % SZS status Theorem
% 0.14/0.35 % Mode: mode213
% 0.14/0.35 % Inferences: 0
% 0.14/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------