TSTP Solution File: SET617^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SET617^5 : 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 : n007.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 04:54:30 EDT 2022
% Result : Theorem 0.12s 0.35s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_eigen__2,type,
eigen__2: a ).
thf(ty_eigen__1,type,
eigen__1: a ).
thf(ty_eigen__0,type,
eigen__0: a > $o ).
thf(sP1,plain,
( sP1
<=> ( eigen__0 @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__0 @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cBOOL_PROP_92_pme,conjecture,
! [X1: a > $o] :
~ ( ( ( ^ [X2: a] :
( ~ ( X1 @ X2 )
=> ~ ( $false
=> ( X1 @ X2 ) ) ) )
= X1 )
=> ( ( ^ [X2: a] :
( ( $false
=> ( X1 @ X2 ) )
=> ( X1 @ X2 ) ) )
!= X1 ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: a > $o] :
~ ( ( ( ^ [X2: a] :
( ~ ( X1 @ X2 )
=> ~ ( $false
=> ( X1 @ X2 ) ) ) )
= X1 )
=> ( ( ^ [X2: a] :
( ( $false
=> ( X1 @ X2 ) )
=> ( X1 @ X2 ) ) )
!= X1 ) ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_92_pme]) ).
thf(h1,assumption,
( ( ( ^ [X1: a] :
( ~ ( eigen__0 @ X1 )
=> ~ ( $false
=> ( eigen__0 @ X1 ) ) ) )
= eigen__0 )
=> ( ( ^ [X1: a] :
( ( $false
=> ( eigen__0 @ X1 ) )
=> ( eigen__0 @ X1 ) ) )
!= eigen__0 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
( ^ [X1: a] :
( ~ ( eigen__0 @ X1 )
=> ~ ( $false
=> ( eigen__0 @ X1 ) ) ) )
!= eigen__0,
introduced(assumption,[]) ).
thf(h3,assumption,
( ^ [X1: a] :
( ( $false
=> ( eigen__0 @ X1 ) )
=> ( eigen__0 @ X1 ) ) )
!= eigen__0,
introduced(assumption,[]) ).
thf(h4,assumption,
~ ! [X1: a] :
( ( ~ ( eigen__0 @ X1 )
=> ~ ( $false
=> ( eigen__0 @ X1 ) ) )
= ( eigen__0 @ X1 ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
( ~ sP2
=> ~ ( $false
=> sP2 ) )
!= sP2,
introduced(assumption,[]) ).
thf(h6,assumption,
( ~ sP2
=> ~ ( $false
=> sP2 ) ),
introduced(assumption,[]) ).
thf(h7,assumption,
sP2,
introduced(assumption,[]) ).
thf(h8,assumption,
~ ( ~ sP2
=> ~ ( $false
=> sP2 ) ),
introduced(assumption,[]) ).
thf(h9,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( $false
=> sP2 ),
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h6,h7,h5,h4,h2,h1,h0])],[h7,h7]) ).
thf(h11,assumption,
$false,
introduced(assumption,[]) ).
thf(2,plain,
$false,
inference(tab_false,[status(thm),assumptions([h11,h9,h10,h6,h7,h5,h4,h2,h1,h0])],[h11]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h6,h7,h5,h4,h2,h1,h0]),tab_negimp(discharge,[h11,h9])],[h10,2,h11,h9]) ).
thf(4,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h7,h5,h4,h2,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h10])],[h6,1,3,h7,h10]) ).
thf(h12,assumption,
( $false
=> sP2 ),
introduced(assumption,[]) ).
thf(h13,assumption,
~ $false,
introduced(assumption,[]) ).
thf(5,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h9,h12,h8,h9,h5,h4,h2,h1,h0])],[h9,h9]) ).
thf(6,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h7,h9,h12,h8,h9,h5,h4,h2,h1,h0])],[h7,h9]) ).
thf(7,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h12,h8,h9,h5,h4,h2,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h7])],[h12,5,6,h13,h7]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h9,h5,h4,h2,h1,h0]),tab_negimp(discharge,[h9,h12])],[h8,7,h9,h12]) ).
thf(9,plain,
$false,
inference(tab_be,[status(thm),assumptions([h5,h4,h2,h1,h0]),tab_be(discharge,[h6,h7]),tab_be(discharge,[h8,h9])],[h5,4,8,h6,h7,h8,h9]) ).
thf(10,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__1)],[h4,9,h5]) ).
thf(11,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h2,h1,h0]),tab_fe(discharge,[h4])],[h2,10,h4]) ).
thf(h14,assumption,
~ ! [X1: a] :
( ( ( $false
=> ( eigen__0 @ X1 ) )
=> ( eigen__0 @ X1 ) )
= ( eigen__0 @ X1 ) ),
introduced(assumption,[]) ).
thf(h15,assumption,
( ( $false
=> sP1 )
=> sP1 )
!= sP1,
introduced(assumption,[]) ).
thf(h16,assumption,
( ( $false
=> sP1 )
=> sP1 ),
introduced(assumption,[]) ).
thf(h17,assumption,
sP1,
introduced(assumption,[]) ).
thf(h18,assumption,
~ ( ( $false
=> sP1 )
=> sP1 ),
introduced(assumption,[]) ).
thf(h19,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h20,assumption,
~ ( $false
=> sP1 ),
introduced(assumption,[]) ).
thf(12,plain,
$false,
inference(tab_false,[status(thm),assumptions([h11,h19,h20,h16,h17,h15,h14,h3,h1,h0])],[h11]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h16,h17,h15,h14,h3,h1,h0]),tab_negimp(discharge,[h11,h19])],[h20,12,h11,h19]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h16,h17,h15,h14,h3,h1,h0])],[h17,h17]) ).
thf(15,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h16,h17,h15,h14,h3,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h17])],[h16,13,14,h20,h17]) ).
thf(h21,assumption,
( $false
=> sP1 ),
introduced(assumption,[]) ).
thf(16,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h21,h19,h18,h19,h15,h14,h3,h1,h0])],[h19,h19]) ).
thf(17,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h21,h19,h18,h19,h15,h14,h3,h1,h0])],[h17,h19]) ).
thf(18,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h19,h18,h19,h15,h14,h3,h1,h0]),tab_imp(discharge,[h13]),tab_imp(discharge,[h17])],[h21,16,17,h13,h17]) ).
thf(19,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h19,h15,h14,h3,h1,h0]),tab_negimp(discharge,[h21,h19])],[h18,18,h21,h19]) ).
thf(20,plain,
$false,
inference(tab_be,[status(thm),assumptions([h15,h14,h3,h1,h0]),tab_be(discharge,[h16,h17]),tab_be(discharge,[h18,h19])],[h15,15,19,h16,h17,h18,h19]) ).
thf(21,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h14,h3,h1,h0]),tab_negall(discharge,[h15]),tab_negall(eigenvar,eigen__2)],[h14,20,h15]) ).
thf(22,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h3,h1,h0]),tab_fe(discharge,[h14])],[h3,21,h14]) ).
thf(23,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h3])],[h1,11,22,h2,h3]) ).
thf(24,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,23,h1]) ).
thf(0,theorem,
! [X1: a > $o] :
~ ( ( ( ^ [X2: a] :
( ~ ( X1 @ X2 )
=> ~ ( $false
=> ( X1 @ X2 ) ) ) )
= X1 )
=> ( ( ^ [X2: a] :
( ( $false
=> ( X1 @ X2 ) )
=> ( X1 @ X2 ) ) )
!= X1 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[24,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SET617^5 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 22:48:47 EDT 2022
% 0.12/0.34 % 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
%------------------------------------------------------------------------------