TSTP Solution File: SEV396^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEV396^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n032.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 : 300s
% DateTime : Thu Aug 31 19:34:27 EDT 2023
% Result : Theorem 0.14s 0.34s
% Output : Proof 0.14s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cS,type,
cS: $i > $o ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_cR,type,
cR: $i > $o ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(sP1,plain,
( sP1
<=> ( cS @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cS @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( cR @ eigen__0 )
=> sP1 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( ^ [X1: $i] :
~ ( ( cR @ X1 )
=> ~ ( cS @ X1 ) ) )
= cR ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( cR @ eigen__1 )
=> ~ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
( ( ~ ( ( cR @ X1 )
=> ~ ( cS @ X1 ) ) )
= ( cR @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( cR @ eigen__0 )
=> ~ sP1 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cR @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( cR @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( ~ sP5 = sP9 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: $i] :
( ( cR @ X1 )
=> ( cS @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(cTHM31_pme,conjecture,
sP11 = sP4 ).
thf(h0,negated_conjecture,
sP11 != sP4,
inference(assume_negation,[status(cth)],[cTHM31_pme]) ).
thf(h1,assumption,
sP11,
introduced(assumption,[]) ).
thf(h2,assumption,
sP4,
introduced(assumption,[]) ).
thf(h3,assumption,
~ sP11,
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(h6,assumption,
( ~ sP7 != sP8 ),
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(h8,assumption,
sP8,
introduced(assumption,[]) ).
thf(h9,assumption,
sP7,
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h11,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h11,h7,h8,h6,h5,h1,h2,h0])],[h8,h8]) ).
thf(2,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h7,h8,h6,h5,h1,h2,h0]),tab_negimp(discharge,[h8,h11])],[h7,1,h8,h11]) ).
thf(3,plain,
( ~ sP3
| ~ sP8
| sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP11
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP7
| ~ sP8
| ~ sP1 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h9,h10,h6,h5,h1,h2,h0])],[3,4,5,h1,h9,h10]) ).
thf(7,plain,
$false,
inference(tab_be,[status(thm),assumptions([h6,h5,h1,h2,h0]),tab_be(discharge,[h7,h8]),tab_be(discharge,[h9,h10])],[h6,2,6,h7,h8,h9,h10]) ).
thf(8,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h1,h2,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__0)],[h5,7,h6]) ).
thf(9,plain,
$false,
inference(tab_fe,[status(thm),assumptions([h1,h2,h0]),tab_fe(discharge,[h5])],[h2,8,h5]) ).
thf(h12,assumption,
~ ( sP9
=> sP2 ),
introduced(assumption,[]) ).
thf(h13,assumption,
sP9,
introduced(assumption,[]) ).
thf(h14,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(10,plain,
( sP5
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP10
| ~ sP5
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(12,plain,
( ~ sP6
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(13,plain,
( ~ sP4
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(14,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h13,h14,h12,h3,h4,h0])],[10,11,12,13,h13,h14,h4]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h3,h4,h0]),tab_negimp(discharge,[h13,h14])],[h12,14,h13,h14]) ).
thf(16,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h4,h0]),tab_negall(discharge,[h12]),tab_negall(eigenvar,eigen__1)],[h3,15,h12]) ).
thf(17,plain,
$false,
inference(tab_be,[status(thm),assumptions([h0]),tab_be(discharge,[h1,h2]),tab_be(discharge,[h3,h4])],[h0,9,16,h1,h2,h3,h4]) ).
thf(0,theorem,
sP11 = sP4,
inference(contra,[status(thm),contra(discharge,[h0])],[17,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV396^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.11/0.29 % Computer : n032.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Thu Aug 24 02:27:56 EDT 2023
% 0.11/0.29 % CPUTime :
% 0.14/0.34 % SZS status Theorem
% 0.14/0.34 % Mode: cade22grackle2xfee4
% 0.14/0.34 % Steps: 31
% 0.14/0.34 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------