TSTP Solution File: SYO128^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO128^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n004.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 : 600s
% DateTime : Thu Jul 21 19:30:26 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_p,type,
p: $o ).
thf(ty_q,type,
q: $o ).
thf(ty_r,type,
r: $o ).
thf(sP1,plain,
( sP1
<=> q ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> r ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> p ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cDISJ_BUG_2,conjecture,
( ~ ( sP3
=> ~ ( ~ sP1
=> sP2 ) )
=> ( ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ) ) ).
thf(h0,negated_conjecture,
~ ( ~ ( sP3
=> ~ ( ~ sP1
=> sP2 ) )
=> ( ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ) ),
inference(assume_negation,[status(cth)],[cDISJ_BUG_2]) ).
thf(h1,assumption,
~ ( sP3
=> ~ ( ~ sP1
=> sP2 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP3,
introduced(assumption,[]) ).
thf(h4,assumption,
( ~ sP1
=> sP2 ),
introduced(assumption,[]) ).
thf(h5,assumption,
sP1,
introduced(assumption,[]) ).
thf(h6,assumption,
sP2,
introduced(assumption,[]) ).
thf(h7,assumption,
( sP3
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h8,assumption,
( sP3
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h9,h7,h8,h5,h3,h4,h1,h2,h0])],[h3,h9]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h9,h7,h8,h5,h3,h4,h1,h2,h0])],[h3,h9]) ).
thf(3,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h11])],[h8,1,2,h9,h11]) ).
thf(4,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h10,h7,h8,h5,h3,h4,h1,h2,h0])],[h5,h10]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h7,h8,h5,h3,h4,h1,h2,h0])],[h5,h10]) ).
thf(6,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h7,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h11])],[h8,4,5,h9,h11]) ).
thf(7,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[h7,3,6,h9,h10]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h2,7,h7,h8]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h9,h7,h8,h6,h3,h4,h1,h2,h0])],[h3,h9]) ).
thf(10,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h9,h7,h8,h6,h3,h4,h1,h2,h0])],[h6,h11]) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h11])],[h8,9,10,h9,h11]) ).
thf(12,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h10,h7,h8,h6,h3,h4,h1,h2,h0])],[h3,h9]) ).
thf(13,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h10,h7,h8,h6,h3,h4,h1,h2,h0])],[h6,h11]) ).
thf(14,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h10,h7,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h11])],[h8,12,13,h9,h11]) ).
thf(15,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[h7,11,14,h9,h10]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h3,h4,h1,h2,h0]),tab_negimp(discharge,[h7,h8])],[h2,15,h7,h8]) ).
thf(17,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h4,8,16,h5,h6]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,17,h3,h4]) ).
thf(19,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,18,h1,h2]) ).
thf(0,theorem,
( ~ ( sP3
=> ~ ( ~ sP1
=> sP2 ) )
=> ( ( sP3
=> ~ sP1 )
=> ~ ( sP3
=> ~ sP2 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[19,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO128^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 18:53:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.35 % SZS status Theorem
% 0.12/0.35 % Mode: mode213
% 0.12/0.35 % Inferences: 0
% 0.12/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------