TSTP Solution File: SET614^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SET614^5 : 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 : n023.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 04:54:28 EDT 2022
% Result : Theorem 0.19s 0.35s
% Output : Proof 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_eigen__2,type,
eigen__2: a > $o ).
thf(ty_eigen__1,type,
eigen__1: a > $o ).
thf(ty_eigen__0,type,
eigen__0: a > $o ).
thf(ty_eigen__3,type,
eigen__3: a ).
thf(sP1,plain,
( sP1
<=> ( eigen__2 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__1 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( eigen__0 @ eigen__3 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(cBOOL_PROP_88_pme,conjecture,
! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
~ ( ~ ( ( X1 @ X4 )
=> ( X2 @ X4 ) )
=> ( X3 @ X4 ) ) )
= ( ^ [X4: a] :
~ ( ( X1 @ X4 )
=> ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ^ [X4: a] :
~ ( ~ ( ( X1 @ X4 )
=> ( X2 @ X4 ) )
=> ( X3 @ X4 ) ) )
= ( ^ [X4: a] :
~ ( ( X1 @ X4 )
=> ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_88_pme]) ).
thf(h1,assumption,
~ ! [X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
~ ( ~ ( ( eigen__0 @ X3 )
=> ( X1 @ X3 ) )
=> ( X2 @ X3 ) ) )
= ( ^ [X3: a] :
~ ( ( eigen__0 @ X3 )
=> ( ~ ( X1 @ X3 )
=> ( X2 @ X3 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ! [X1: a > $o] :
( ( ^ [X2: a] :
~ ( ~ ( ( eigen__0 @ X2 )
=> ( eigen__1 @ X2 ) )
=> ( X1 @ X2 ) ) )
= ( ^ [X2: a] :
~ ( ( eigen__0 @ X2 )
=> ( ~ ( eigen__1 @ X2 )
=> ( X1 @ X2 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
( ^ [X1: a] :
~ ( ~ ( ( eigen__0 @ X1 )
=> ( eigen__1 @ X1 ) )
=> ( eigen__2 @ X1 ) ) )
!= ( ^ [X1: a] :
~ ( ( eigen__0 @ X1 )
=> ( ~ ( eigen__1 @ X1 )
=> ( eigen__2 @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ ! [X1: a] :
( ( ~ ( ~ ( ( eigen__0 @ X1 )
=> ( eigen__1 @ X1 ) )
=> ( eigen__2 @ X1 ) ) )
= ( ~ ( ( eigen__0 @ X1 )
=> ( ~ ( eigen__1 @ X1 )
=> ( eigen__2 @ X1 ) ) ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
( ~ ( ~ ( sP3
=> sP2 )
=> sP1 ) )
!= ( ~ ( sP3
=> ( ~ sP2
=> sP1 ) ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( ~ ( sP3
=> sP2 )
=> sP1 ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( sP3
=> ( ~ sP2
=> sP1 ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
( ~ ( sP3
=> sP2 )
=> sP1 ),
introduced(assumption,[]) ).
thf(h9,assumption,
( sP3
=> ( ~ sP2
=> sP1 ) ),
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( sP3
=> sP2 ),
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h12,assumption,
sP3,
introduced(assumption,[]) ).
thf(h13,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h14,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h15,assumption,
( ~ sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h14,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h12,h14]) ).
thf(h16,assumption,
sP2,
introduced(assumption,[]) ).
thf(h17,assumption,
sP1,
introduced(assumption,[]) ).
thf(2,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h16,h13]) ).
thf(3,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h17,h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0])],[h17,h11]) ).
thf(4,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h16]),tab_imp(discharge,[h17])],[h15,2,3,h16,h17]) ).
thf(5,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h7,1,4,h14,h15]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h11,h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h12,h13])],[h10,5,h12,h13]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h7,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h10,h11])],[h6,6,h10,h11]) ).
thf(h18,assumption,
( sP3
=> sP2 ),
introduced(assumption,[]) ).
thf(h19,assumption,
~ ( ~ sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(8,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h11,h12,h19,h14,h18,h8,h9,h5,h4,h3,h2,h1,h0])],[h12,h14]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h19,h14,h18,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h13,h11])],[h19,8,h13,h11]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h18,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h12,h19])],[h9,9,h12,h19]) ).
thf(11,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h11,h12,h19,h16,h18,h8,h9,h5,h4,h3,h2,h1,h0])],[h16,h13]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h19,h16,h18,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h13,h11])],[h19,11,h13,h11]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h18,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h12,h19])],[h9,12,h12,h19]) ).
thf(14,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h18,h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h16])],[h18,10,13,h14,h16]) ).
thf(15,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h13,h11,h12,h19,h17,h8,h9,h5,h4,h3,h2,h1,h0])],[h17,h11]) ).
thf(16,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h19,h17,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h13,h11])],[h19,15,h13,h11]) ).
thf(17,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h8,h9,h5,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h12,h19])],[h9,16,h12,h19]) ).
thf(18,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h9,h5,h4,h3,h2,h1,h0]),tab_imp(discharge,[h18]),tab_imp(discharge,[h17])],[h8,14,17,h18,h17]) ).
thf(19,plain,
$false,
inference(tab_be,[status(thm),assumptions([h5,h4,h3,h2,h1,h0]),tab_be(discharge,[h6,h7]),tab_be(discharge,[h8,h9])],[h5,7,18,h6,h7,h8,h9]) ).
thf(20,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__3)],[h4,19,h5]) ).
thf(21,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h3,h2,h1,h0]),tab_fe(discharge,[h4])],[h3,20,h4]) ).
thf(22,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h2,h1,h0]),tab_negall(discharge,[h3]),tab_negall(eigenvar,eigen__2)],[h2,21,h3]) ).
thf(23,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,22,h2]) ).
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 > $o,X3: a > $o] :
( ( ^ [X4: a] :
~ ( ~ ( ( X1 @ X4 )
=> ( X2 @ X4 ) )
=> ( X3 @ X4 ) ) )
= ( ^ [X4: a] :
~ ( ( X1 @ X4 )
=> ( ~ ( X2 @ X4 )
=> ( X3 @ X4 ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[24,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET614^5 : 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
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 05:34:40 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.35 % SZS status Theorem
% 0.19/0.35 % Mode: mode213
% 0.19/0.35 % Inferences: 0
% 0.19/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------