TSTP Solution File: SET608^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SET608^5 : 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 : n026.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 04:54:22 EDT 2022
% Result : Theorem 0.12s 0.36s
% 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 > $o ).
thf(ty_eigen__0,type,
eigen__0: a > $o ).
thf(sP1,plain,
( sP1
<=> ( eigen__1 @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__0 @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cBOOL_PROP_80_pme,conjecture,
! [X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( ( X1 @ X3 )
=> ~ ( X2 @ X3 ) )
=> ~ ( ( X1 @ X3 )
=> ( X2 @ X3 ) ) ) )
= X1 ) ).
thf(h0,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( ( X1 @ X3 )
=> ~ ( X2 @ X3 ) )
=> ~ ( ( X1 @ X3 )
=> ( X2 @ X3 ) ) ) )
= X1 ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_80_pme]) ).
thf(h1,assumption,
~ ! [X1: a > $o] :
( ( ^ [X2: a] :
( ( ( eigen__0 @ X2 )
=> ~ ( X1 @ X2 ) )
=> ~ ( ( eigen__0 @ X2 )
=> ( X1 @ X2 ) ) ) )
= eigen__0 ),
introduced(assumption,[]) ).
thf(h2,assumption,
( ^ [X1: a] :
( ( ( eigen__0 @ X1 )
=> ~ ( eigen__1 @ X1 ) )
=> ~ ( ( eigen__0 @ X1 )
=> ( eigen__1 @ X1 ) ) ) )
!= eigen__0,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ! [X1: a] :
( ( ( ( eigen__0 @ X1 )
=> ~ ( eigen__1 @ X1 ) )
=> ~ ( ( eigen__0 @ X1 )
=> ( eigen__1 @ X1 ) ) )
= ( eigen__0 @ X1 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
( ( sP2
=> ~ sP1 )
=> ~ ( sP2
=> sP1 ) )
!= sP2,
introduced(assumption,[]) ).
thf(h5,assumption,
( ( sP2
=> ~ sP1 )
=> ~ ( sP2
=> sP1 ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
sP2,
introduced(assumption,[]) ).
thf(h7,assumption,
~ ( ( sP2
=> ~ sP1 )
=> ~ ( sP2
=> sP1 ) ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h9,assumption,
~ ( sP2
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(h11,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h6,h11,h9,h5,h6,h4,h3,h2,h1,h0])],[h6,h6]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h6,h11])],[h9,1,h6,h11]) ).
thf(h12,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(3,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h6,h12,h10,h5,h6,h4,h3,h2,h1,h0])],[h6,h6]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h5,h6,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h6,h12])],[h10,3,h6,h12]) ).
thf(5,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h6,h4,h3,h2,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[h5,2,4,h9,h10]) ).
thf(h13,assumption,
( sP2
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h14,assumption,
( sP2
=> sP1 ),
introduced(assumption,[]) ).
thf(6,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h8,h13,h14,h7,h8,h4,h3,h2,h1,h0])],[h8,h8]) ).
thf(7,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h8,h13,h14,h7,h8,h4,h3,h2,h1,h0])],[h8,h8]) ).
thf(8,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h8,h13,h14,h7,h8,h4,h3,h2,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h11])],[h14,6,7,h8,h11]) ).
thf(9,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h12,h13,h14,h7,h8,h4,h3,h2,h1,h0])],[h8,h8]) ).
thf(10,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h12,h13,h14,h7,h8,h4,h3,h2,h1,h0])],[h11,h12]) ).
thf(11,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h12,h13,h14,h7,h8,h4,h3,h2,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h11])],[h14,9,10,h8,h11]) ).
thf(12,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h14,h7,h8,h4,h3,h2,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h12])],[h13,8,11,h8,h12]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h4,h3,h2,h1,h0]),tab_negimp(discharge,[h13,h14])],[h7,12,h13,h14]) ).
thf(14,plain,
$false,
inference(tab_be,[status(thm),assumptions([h4,h3,h2,h1,h0]),tab_be(discharge,[h5,h6]),tab_be(discharge,[h7,h8])],[h4,5,13,h5,h6,h7,h8]) ).
thf(15,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h2,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__2)],[h3,14,h4]) ).
thf(16,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h2,h1,h0]),tab_fe(discharge,[h3])],[h2,15,h3]) ).
thf(17,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h0]),tab_negall(discharge,[h2]),tab_negall(eigenvar,eigen__1)],[h1,16,h2]) ).
thf(18,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,17,h1]) ).
thf(0,theorem,
! [X1: a > $o,X2: a > $o] :
( ( ^ [X3: a] :
( ( ( X1 @ X3 )
=> ~ ( X2 @ X3 ) )
=> ~ ( ( X1 @ X3 )
=> ( X2 @ X3 ) ) ) )
= X1 ),
inference(contra,[status(thm),contra(discharge,[h0])],[18,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET608^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n026.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 01:27:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % SZS status Theorem
% 0.12/0.36 % Mode: mode213
% 0.12/0.36 % Inferences: 0
% 0.12/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------