TSTP Solution File: SEV241^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV241^5 : 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 : n019.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 18:05:31 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__1,type,
eigen__1: a > $o ).
thf(ty_eigen__0,type,
eigen__0: a ).
thf(ty_cU,type,
cU: a > $o ).
thf(ty_cW,type,
cW: a > $o ).
thf(sP1,plain,
( sP1
<=> ( eigen__1 = cU ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: a] :
( ( eigen__1 @ X1 )
= ( cW @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( eigen__1 @ eigen__0 )
= ( cU @ eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( eigen__1 = cW ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( eigen__1 @ eigen__0 )
= ( cW @ eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: a] :
( ( eigen__1 @ X1 )
= ( cU @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( cW @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( eigen__1 @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( cU @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(cX5201A_pme,conjecture,
! [X1: a] :
( ~ ( ( cU @ X1 )
=> ~ ( cW @ X1 ) )
=> ! [X2: a > $o] :
( ( ( X2 != cU )
=> ( X2 = cW ) )
=> ( X2 @ X1 ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: a] :
( ~ ( ( cU @ X1 )
=> ~ ( cW @ X1 ) )
=> ! [X2: a > $o] :
( ( ( X2 != cU )
=> ( X2 = cW ) )
=> ( X2 @ X1 ) ) ),
inference(assume_negation,[status(cth)],[cX5201A_pme]) ).
thf(h1,assumption,
~ ( ~ ( sP9
=> ~ sP7 )
=> ! [X1: a > $o] :
( ( ( X1 != cU )
=> ( X1 = cW ) )
=> ( X1 @ eigen__0 ) ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP9
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ ! [X1: a > $o] :
( ( ( X1 != cU )
=> ( X1 = cW ) )
=> ( X1 @ eigen__0 ) ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP9,
introduced(assumption,[]) ).
thf(h5,assumption,
sP7,
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( ( ~ sP1
=> sP4 )
=> sP8 ),
introduced(assumption,[]) ).
thf(h7,assumption,
( ~ sP1
=> sP4 ),
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h9,assumption,
sP1,
introduced(assumption,[]) ).
thf(h10,assumption,
sP4,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP3
| sP8
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP6
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP1
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h9,h7,h8,h6,h4,h5,h2,h3,h1,h0])],[1,2,3,h4,h9,h8]) ).
thf(5,plain,
( ~ sP5
| sP8
| ~ sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP2
| sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP4
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h10,h7,h8,h6,h4,h5,h2,h3,h1,h0])],[5,6,7,h5,h10,h8]) ).
thf(9,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h8,h6,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[h7,4,8,h9,h10]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,9,h7,h8]) ).
thf(11,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__1)],[h3,10,h6]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h2,h3,h1,h0]),tab_negimp(discharge,[h4,h5])],[h2,11,h4,h5]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,12,h2,h3]) ).
thf(14,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,13,h1]) ).
thf(0,theorem,
! [X1: a] :
( ~ ( ( cU @ X1 )
=> ~ ( cW @ X1 ) )
=> ! [X2: a > $o] :
( ( ( X2 != cU )
=> ( X2 = cW ) )
=> ( X2 @ X1 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[14,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SEV241^5 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n019.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 11:36:54 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: 23
% 0.12/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------