TSTP Solution File: SYO212^5 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO212^5 : 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 : n013.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 : Thu Jul 21 19:30:54 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: $o ).
thf(ty_b,type,
b: $o ).
thf(ty_eigen__0,type,
eigen__0: $o > $o ).
thf(sP1,plain,
( sP1
<=> ( eigen__0 @ b ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( a
= ( ~ ( a
=> ~ b ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( a
=> ~ b ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( eigen__0 @ a ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( eigen__0 @ ~ sP3 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> b ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP6
= ( ~ sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> a ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(cEMB2,conjecture,
! [X1: $o > $o] :
( ~ ( ( X1 @ sP8 )
=> ~ ( X1 @ sP6 ) )
=> ( X1 @ ~ sP3 ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $o > $o] :
( ~ ( ( X1 @ sP8 )
=> ~ ( X1 @ sP6 ) )
=> ( X1 @ ~ sP3 ) ),
inference(assume_negation,[status(cth)],[cEMB2]) ).
thf(h1,assumption,
~ ( ~ ( sP4
=> ~ sP1 )
=> sP5 ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP4
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h4,assumption,
sP4,
introduced(assumption,[]) ).
thf(h5,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP3
| ~ sP8
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP3
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( sP2
| sP8
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( sP7
| ~ sP6
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( sP7
| sP6
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP4
| sP5
| ~ sP2 ),
inference(mating_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP1
| sP5
| ~ sP7 ),
inference(mating_rule,[status(thm)],]) ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h4,h5,h2,h3,h1,h0])],[1,2,3,4,5,6,7,h4,h5,h3]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h2,h3,h1,h0]),tab_negimp(discharge,[h4,h5])],[h2,8,h4,h5]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,9,h2,h3]) ).
thf(11,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,10,h1]) ).
thf(0,theorem,
! [X1: $o > $o] :
( ~ ( ( X1 @ sP8 )
=> ~ ( X1 @ sP6 ) )
=> ( X1 @ ~ sP3 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[11,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO212^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n013.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 : Fri Jul 8 20:05:59 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: 13
% 0.12/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------