TSTP Solution File: SEV397^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV397^5 : 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 : n018.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 : Tue Jul 19 18:06:12 EDT 2022
% Result : Theorem 0.18s 0.35s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_cY,type,
cY: a > $o ).
thf(ty_eigen__0,type,
eigen__0: a ).
thf(ty_cZ,type,
cZ: a > $o ).
thf(ty_cX,type,
cX: a > $o ).
thf(sP1,plain,
( sP1
<=> ( cX @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cY @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cZ @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cTHM59_pme,conjecture,
! [X1: a] :
( ( ( ( cX @ X1 )
=> ~ ( cY @ X1 ) )
=> ( cZ @ X1 ) )
= ( ~ ( ( ~ ( cX @ X1 )
=> ( cZ @ X1 ) )
=> ~ ( ~ ( cY @ X1 )
=> ( cZ @ X1 ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: a] :
( ( ( ( cX @ X1 )
=> ~ ( cY @ X1 ) )
=> ( cZ @ X1 ) )
= ( ~ ( ( ~ ( cX @ X1 )
=> ( cZ @ X1 ) )
=> ~ ( ~ ( cY @ X1 )
=> ( cZ @ X1 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM59_pme]) ).
thf(h1,assumption,
( ( sP1
=> ~ sP2 )
=> sP3 )
!= ( ~ ( ( ~ sP1
=> sP3 )
=> ~ ( ~ sP2
=> sP3 ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
( ( sP1
=> ~ sP2 )
=> sP3 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( ( ~ sP1
=> sP3 )
=> ~ ( ~ sP2
=> sP3 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ ( ( sP1
=> ~ sP2 )
=> sP3 ),
introduced(assumption,[]) ).
thf(h5,assumption,
( ( ~ sP1
=> sP3 )
=> ~ ( ~ sP2
=> sP3 ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( sP1
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h7,assumption,
sP3,
introduced(assumption,[]) ).
thf(h8,assumption,
sP1,
introduced(assumption,[]) ).
thf(h9,assumption,
sP2,
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( ~ sP1
=> sP3 ),
introduced(assumption,[]) ).
thf(h11,assumption,
~ ( ~ sP2
=> sP3 ),
introduced(assumption,[]) ).
thf(h12,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h13,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h10,h8,h9,h6,h2,h3,h1,h0])],[h8,h12]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h8,h9,h6,h2,h3,h1,h0]),tab_negimp(discharge,[h12,h13])],[h10,1,h12,h13]) ).
thf(h14,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(3,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h13,h11,h8,h9,h6,h2,h3,h1,h0])],[h9,h14]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h8,h9,h6,h2,h3,h1,h0]),tab_negimp(discharge,[h14,h13])],[h11,3,h14,h13]) ).
thf(5,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h6,h2,h3,h1,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h3,2,4,h10,h11]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h2,h3,h1,h0]),tab_negimp(discharge,[h8,h9])],[h6,5,h8,h9]) ).
thf(7,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h13,h10,h7,h2,h3,h1,h0])],[h7,h13]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h7,h2,h3,h1,h0]),tab_negimp(discharge,[h12,h13])],[h10,7,h12,h13]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h13,h11,h7,h2,h3,h1,h0])],[h7,h13]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h7,h2,h3,h1,h0]),tab_negimp(discharge,[h14,h13])],[h11,9,h14,h13]) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h2,h3,h1,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h3,8,10,h10,h11]) ).
thf(12,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h3,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[h2,6,11,h6,h7]) ).
thf(h15,assumption,
( sP1
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h16,assumption,
( ~ sP1
=> sP3 ),
introduced(assumption,[]) ).
thf(h17,assumption,
( ~ sP2
=> sP3 ),
introduced(assumption,[]) ).
thf(13,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h8,h16,h17,h12,h15,h13,h4,h5,h1,h0])],[h8,h12]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h16,h17,h12,h15,h13,h4,h5,h1,h0])],[h7,h13]) ).
thf(15,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h16,h17,h12,h15,h13,h4,h5,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h7])],[h17,13,14,h9,h7]) ).
thf(16,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h7,h16,h17,h12,h15,h13,h4,h5,h1,h0])],[h7,h13]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h7,h16,h17,h12,h15,h13,h4,h5,h1,h0])],[h7,h13]) ).
thf(18,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h16,h17,h12,h15,h13,h4,h5,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h7])],[h17,16,17,h9,h7]) ).
thf(19,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h16,h17,h12,h15,h13,h4,h5,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h7])],[h16,15,18,h8,h7]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h15,h13,h4,h5,h1,h0]),tab_negimp(discharge,[h16,h17])],[h5,19,h16,h17]) ).
thf(21,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h8,h16,h17,h14,h15,h13,h4,h5,h1,h0])],[h9,h14]) ).
thf(22,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h8,h16,h17,h14,h15,h13,h4,h5,h1,h0])],[h7,h13]) ).
thf(23,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h16,h17,h14,h15,h13,h4,h5,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h7])],[h17,21,22,h9,h7]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h9,h7,h16,h17,h14,h15,h13,h4,h5,h1,h0])],[h7,h13]) ).
thf(25,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h7,h16,h17,h14,h15,h13,h4,h5,h1,h0])],[h7,h13]) ).
thf(26,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h16,h17,h14,h15,h13,h4,h5,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h7])],[h17,24,25,h9,h7]) ).
thf(27,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h16,h17,h14,h15,h13,h4,h5,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h7])],[h16,23,26,h8,h7]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h15,h13,h4,h5,h1,h0]),tab_negimp(discharge,[h16,h17])],[h5,27,h16,h17]) ).
thf(29,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h13,h4,h5,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h14])],[h15,20,28,h12,h14]) ).
thf(30,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h4,h5,h1,h0]),tab_negimp(discharge,[h15,h13])],[h4,29,h15,h13]) ).
thf(31,plain,
$false,
inference(tab_be,[status(thm),assumptions([h1,h0]),tab_be(discharge,[h2,h3]),tab_be(discharge,[h4,h5])],[h1,12,30,h2,h3,h4,h5]) ).
thf(32,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,31,h1]) ).
thf(0,theorem,
! [X1: a] :
( ( ( ( cX @ X1 )
=> ~ ( cY @ X1 ) )
=> ( cZ @ X1 ) )
= ( ~ ( ( ~ ( cX @ X1 )
=> ( cZ @ X1 ) )
=> ~ ( ~ ( cY @ X1 )
=> ( cZ @ X1 ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[32,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV397^5 : 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 : n018.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 : Tue Jun 28 02:07:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.35 % SZS status Theorem
% 0.18/0.35 % Mode: mode213
% 0.18/0.35 % Inferences: 0
% 0.18/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------