TSTP Solution File: SYO384^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO384^5 : 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 : n029.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 19:31:46 EDT 2022
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__6,type,
eigen__6: $i ).
thf(ty_cS,type,
cS: $i > $i > $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_eigen__4,type,
eigen__4: $i ).
thf(ty_eigen__5,type,
eigen__5: $i ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_cF,type,
cF: $i > $i > $o ).
thf(ty_cD,type,
cD: $i > $i > $i > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i] :
~ ! [X2: $i] :
~ ! [X3: $i,X4: $i] :
( ( cD @ X3 @ X4 @ X2 )
=> ! [X5: $i,X6: $i] :
( ~ ( ( cF @ X3 @ X5 )
=> ~ ( cF @ X4 @ X6 ) )
=> ( cD @ X5 @ X6 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
~ ! [X2: $i] :
~ ! [X3: $i] :
~ ! [X4: $i] :
( ( cS @ X3 @ X4 )
=> ( cD @ X4 @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
~ ( cF @ eigen__0 @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
~ ! [X2: $i] :
~ ! [X3: $i] :
( ( cS @ X2 @ X3 )
=> ( cD @ X3 @ eigen__2 @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i] :
~ ! [X2: $i,X3: $i] :
( ( cD @ X2 @ X3 @ X1 )
=> ! [X4: $i,X5: $i] :
( ~ ( ( cF @ X2 @ X4 )
=> ~ ( cF @ X3 @ X5 ) )
=> ( cD @ X4 @ X5 @ eigen__3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: $i] :
~ ! [X2: $i] :
~ ! [X3: $i] :
( ( cS @ X2 @ X3 )
=> ! [X4: $i] :
( ( cF @ X3 @ X4 )
=> ( cD @ X4 @ eigen__5 @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: $i] :
~ ! [X2: $i] :
~ ! [X3: $i] :
~ ! [X4: $i] :
( ( cS @ X3 @ X4 )
=> ! [X5: $i] :
( ( cF @ X4 @ X5 )
=> ( cD @ X5 @ X1 @ X2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i] :
~ ! [X2: $i] :
~ ( cF @ X1 @ X2 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(cTHM408,conjecture,
( ( ~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 )
=> ~ sP7 )
=> ( ~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 )
=> ~ sP7 ) ) ).
thf(h0,negated_conjecture,
~ ( ( ~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 )
=> ~ sP7 )
=> ( ~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 )
=> ~ sP7 ) ),
inference(assume_negation,[status(cth)],[cTHM408]) ).
thf(h1,assumption,
( ~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 )
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( ~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 )
=> ~ sP7 ),
introduced(assumption,[]) ).
thf(h3,assumption,
( ~ ( sP8
=> sP2 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(h5,assumption,
( sP8
=> sP2 ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h8,assumption,
sP2,
introduced(assumption,[]) ).
thf(h9,assumption,
sP3,
introduced(assumption,[]) ).
thf(h10,assumption,
~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h11,assumption,
sP7,
introduced(assumption,[]) ).
thf(h12,assumption,
~ ( sP8
=> sP2 ),
introduced(assumption,[]) ).
thf(h13,assumption,
sP1,
introduced(assumption,[]) ).
thf(h14,assumption,
sP8,
introduced(assumption,[]) ).
thf(h15,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h16,assumption,
! [X1: $i] :
~ ! [X2: $i] :
~ ! [X3: $i] :
( ( cS @ X2 @ X3 )
=> ( cD @ X3 @ eigen__1 @ X1 ) ),
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP8
| ~ sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h16,h14,h15,h12,h13,h10,h11,h9,h7,h5,h3,h1,h2,h0])],[1,h9,h14]) ).
thf(3,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h14,h15,h12,h13,h10,h11,h9,h7,h5,h3,h1,h2,h0]),tab_negall(discharge,[h16]),tab_negall(eigenvar,eigen__1)],[h15,2,h16]) ).
thf(4,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h13,h10,h11,h9,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h14,h15])],[h12,3,h14,h15]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h11,h9,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,4,h12,h13]) ).
thf(6,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h7,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h10,h11])],[h2,5,h10,h11]) ).
thf(7,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h7,h5,h3,h1,h2,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__0)],[h7,6,h9]) ).
thf(h17,assumption,
sP4,
introduced(assumption,[]) ).
thf(8,plain,
( ~ sP2
| ~ sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h17,h14,h15,h12,h13,h10,h11,h8,h5,h3,h1,h2,h0])],[8,h8,h17]) ).
thf(10,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h14,h15,h12,h13,h10,h11,h8,h5,h3,h1,h2,h0]),tab_negall(discharge,[h17]),tab_negall(eigenvar,eigen__2)],[h15,9,h17]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h13,h10,h11,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h14,h15])],[h12,10,h14,h15]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h11,h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,11,h12,h13]) ).
thf(13,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h8,h5,h3,h1,h2,h0]),tab_negimp(discharge,[h10,h11])],[h2,12,h10,h11]) ).
thf(14,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h5,h3,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[h5,7,13,h7,h8]) ).
thf(h18,assumption,
sP5,
introduced(assumption,[]) ).
thf(h19,assumption,
! [X1: $i] :
~ ! [X2: $i] :
~ ! [X3: $i] :
( ( cS @ X2 @ X3 )
=> ( cD @ X3 @ eigen__4 @ X1 ) ),
introduced(assumption,[]) ).
thf(15,plain,
( ~ sP1
| ~ sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(16,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h19,h14,h15,h12,h13,h10,h11,h18,h6,h3,h1,h2,h0])],[15,h18,h13]) ).
thf(17,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h14,h15,h12,h13,h10,h11,h18,h6,h3,h1,h2,h0]),tab_negall(discharge,[h19]),tab_negall(eigenvar,eigen__4)],[h15,16,h19]) ).
thf(18,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h13,h10,h11,h18,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h14,h15])],[h12,17,h14,h15]) ).
thf(19,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h11,h18,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,18,h12,h13]) ).
thf(20,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h18,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h10,h11])],[h2,19,h10,h11]) ).
thf(21,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h3,h1,h2,h0]),tab_negall(discharge,[h18]),tab_negall(eigenvar,eigen__3)],[h6,20,h18]) ).
thf(22,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h3,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h3,14,21,h5,h6]) ).
thf(h20,assumption,
sP6,
introduced(assumption,[]) ).
thf(h21,assumption,
! [X1: $i] :
~ ! [X2: $i] :
~ ! [X3: $i] :
( ( cS @ X2 @ X3 )
=> ( cD @ X3 @ eigen__6 @ X1 ) ),
introduced(assumption,[]) ).
thf(23,plain,
( ~ sP7
| ~ sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(24,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h21,h14,h15,h12,h13,h10,h11,h20,h4,h1,h2,h0])],[23,h20,h11]) ).
thf(25,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h14,h15,h12,h13,h10,h11,h20,h4,h1,h2,h0]),tab_negall(discharge,[h21]),tab_negall(eigenvar,eigen__6)],[h15,24,h21]) ).
thf(26,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h12,h13,h10,h11,h20,h4,h1,h2,h0]),tab_negimp(discharge,[h14,h15])],[h12,25,h14,h15]) ).
thf(27,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h11,h20,h4,h1,h2,h0]),tab_negimp(discharge,[h12,h13])],[h10,26,h12,h13]) ).
thf(28,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h20,h4,h1,h2,h0]),tab_negimp(discharge,[h10,h11])],[h2,27,h10,h11]) ).
thf(29,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h1,h2,h0]),tab_negall(discharge,[h20]),tab_negall(eigenvar,eigen__5)],[h4,28,h20]) ).
thf(30,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[h1,22,29,h3,h4]) ).
thf(31,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,30,h1,h2]) ).
thf(0,theorem,
( ( ~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 )
=> ~ sP7 )
=> ( ~ ( ~ ( sP8
=> sP2 )
=> ~ sP1 )
=> ~ sP7 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[31,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYO384^5 : 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 : n029.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 : Sat Jul 9 03:23:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % Mode: mode213
% 0.12/0.37 % Inferences: 20
% 0.12/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------