TSTP Solution File: SYO104^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO104^5 : 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 : n021.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 19:30:19 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__2,type,
eigen__2: $i ).
thf(ty_cP,type,
cP: $i > $i > $o ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_y,type,
y: $i ).
thf(ty_eigen__3,type,
eigen__3: $i ).
thf(ty_cQ,type,
cQ: $i > $i > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i] :
~ ( ( cP @ X1 @ y )
=> ~ ( cQ @ X1 @ y ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cQ @ eigen__3 @ y ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cP @ eigen__3 @ y ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] : ( cP @ X1 @ y ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( cQ @ eigen__2 @ y ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( cP @ eigen__2 @ y )
=> ~ sP5 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( cP @ eigen__0 @ y ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( sP7
=> ~ ( cQ @ eigen__0 @ y ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: $i] : ( cQ @ X1 @ y ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(cTTTP2129,conjecture,
( sP1
= ( ~ ( sP4
=> ~ sP9 ) ) ) ).
thf(h0,negated_conjecture,
sP1
!= ( ~ ( sP4
=> ~ sP9 ) ),
inference(assume_negation,[status(cth)],[cTTTP2129]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP4
=> ~ sP9 ),
introduced(assumption,[]) ).
thf(h3,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
( sP4
=> ~ sP9 ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h6,assumption,
~ sP9,
introduced(assumption,[]) ).
thf(h7,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(1,plain,
( sP8
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP1
| ~ sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h5,h1,h2,h0])],[1,2,h1,h7]) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h1,h2,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__0)],[h5,3,h7]) ).
thf(h8,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(5,plain,
( sP6
| sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP1
| ~ sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h8,h6,h1,h2,h0])],[5,6,h1,h8]) ).
thf(8,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h1,h2,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__2)],[h6,7,h8]) ).
thf(9,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[h2,4,8,h5,h6]) ).
thf(h9,assumption,
( sP3
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h10,assumption,
~ sP3,
introduced(assumption,[]) ).
thf(h11,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h12,assumption,
sP4,
introduced(assumption,[]) ).
thf(h13,assumption,
sP9,
introduced(assumption,[]) ).
thf(10,plain,
( ~ sP4
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h12,h13,h10,h9,h3,h4,h0])],[10,h10,h12]) ).
thf(12,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h10,h9,h3,h4,h0]),tab_negimp(discharge,[h12,h13])],[h4,11,h12,h13]) ).
thf(13,plain,
( ~ sP9
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(14,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h12,h13,h11,h9,h3,h4,h0])],[13,h11,h13]) ).
thf(15,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h11,h9,h3,h4,h0]),tab_negimp(discharge,[h12,h13])],[h4,14,h12,h13]) ).
thf(16,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h3,h4,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h9,12,15,h10,h11]) ).
thf(17,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h3,h4,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__3)],[h3,16,h9]) ).
thf(18,plain,
$false,
inference(tab_be,[status(thm),assumptions([h0]),tab_be(discharge,[h1,h2]),tab_be(discharge,[h3,h4])],[h0,9,17,h1,h2,h3,h4]) ).
thf(0,theorem,
( sP1
= ( ~ ( sP4
=> ~ sP9 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[18,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO104^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 07:49:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % Mode: mode213
% 0.20/0.38 % Inferences: 30
% 0.20/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------