TSTP Solution File: SEV416^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEV416^5 : 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 : n024.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 18:06:17 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cG,type,
cG: $o ).
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_cB,type,
cB: $i > $o ).
thf(ty_cA,type,
cA: $i > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i] :
( ( cA @ X1 )
=> ( cB @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cA @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cA @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ( cA @ eigen__0 )
=> ( cB @ eigen__0 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( cB @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( cB @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP3
=> sP6 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cB @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> cG ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( sP2
=> sP5 ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ( cA @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(cDUAL_EG3_pme,conjecture,
( ( ~ ( ~ ( sP1
=> ~ sP1 )
=> sP9 )
=> ( sP1
=> sP9 ) )
=> ( sP1
=> sP9 ) ) ).
thf(h0,negated_conjecture,
~ ( ( ~ ( ~ ( sP1
=> ~ sP1 )
=> sP9 )
=> ( sP1
=> sP9 ) )
=> ( sP1
=> sP9 ) ),
inference(assume_negation,[status(cth)],[cDUAL_EG3_pme]) ).
thf(h1,assumption,
( ~ ( ~ ( sP1
=> ~ sP1 )
=> sP9 )
=> ( sP1
=> sP9 ) ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP1
=> sP9 ),
introduced(assumption,[]) ).
thf(h3,assumption,
( ~ ( sP1
=> ~ sP1 )
=> sP9 ),
introduced(assumption,[]) ).
thf(h4,assumption,
( sP1
=> sP9 ),
introduced(assumption,[]) ).
thf(h5,assumption,
( sP1
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h6,assumption,
sP9,
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h9,assumption,
sP11,
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h11,assumption,
sP1,
introduced(assumption,[]) ).
thf(h12,assumption,
~ sP9,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP1
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP4
| ~ sP11
| sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h12,h9,h10,h8,h7,h5,h3,h1,h2,h0])],[1,2,h9,h10,h11]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h10,h8,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h2,3,h11,h12]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h8,4,h9,h10]) ).
thf(6,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h7,h5,h3,h1,h2,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__0)],[h7,5,h8]) ).
thf(h13,assumption,
~ sP10,
introduced(assumption,[]) ).
thf(h14,assumption,
sP2,
introduced(assumption,[]) ).
thf(h15,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(7,plain,
( ~ sP1
| sP10 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP10
| ~ sP2
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h12,h14,h15,h13,h7,h5,h3,h1,h2,h0])],[7,8,h14,h15,h11]) ).
thf(10,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h14,h15,h13,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h2,9,h11,h12]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h13,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h14,h15])],[h13,10,h14,h15]) ).
thf(12,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h7,h5,h3,h1,h2,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__1)],[h7,11,h13]) ).
thf(13,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h3,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h7])],[h5,6,12,h7,h7]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h12,h6,h3,h1,h2,h0])],[h6,h12]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h3,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h2,14,h11,h12]) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h3,13,15,h5,h6]) ).
thf(h16,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(h17,assumption,
sP3,
introduced(assumption,[]) ).
thf(h18,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(17,plain,
( ~ sP1
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(18,plain,
( ~ sP7
| ~ sP3
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(19,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h12,h17,h18,h16,h7,h4,h1,h2,h0])],[17,18,h17,h18,h11]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h17,h18,h16,h7,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h2,19,h11,h12]) ).
thf(21,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h16,h7,h4,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h16,20,h17,h18]) ).
thf(22,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h7,h4,h1,h2,h0]),tab_negall(discharge,[h16]),tab_negall(eigenvar,eigen__2)],[h7,21,h16]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h11,h12,h6,h4,h1,h2,h0])],[h6,h12]) ).
thf(24,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h2,23,h11,h12]) ).
thf(25,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h6])],[h4,22,24,h7,h6]) ).
thf(26,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,16,25,h3,h4]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,26,h1,h2]) ).
thf(0,theorem,
( ( ~ ( ~ ( sP1
=> ~ sP1 )
=> sP9 )
=> ( sP1
=> sP9 ) )
=> ( sP1
=> sP9 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[27,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV416^5 : 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 : n024.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 17:05:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % Mode: mode213
% 0.12/0.37 % Inferences: 9
% 0.12/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------