TSTP Solution File: SYN358^5 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYN358^5 : 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 : n016.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 11:43:06 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_p,type,
p: $o ).
thf(ty_eigen__1,type,
eigen__1: $i ).
thf(ty_eigen__0,type,
eigen__0: $i ).
thf(ty_cQ,type,
cQ: $i > $o ).
thf(sP1,plain,
( sP1
<=> ( cQ @ eigen__0 ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] :
( p
=> ~ ( cQ @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( p
=> ~ ( cQ @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] :
~ ( cQ @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> p ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( cQ @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(cX2109,conjecture,
( ( ~ sP2 )
= ( ~ ( sP5
=> sP4 ) ) ) ).
thf(h0,negated_conjecture,
( ~ sP2 )
!= ( ~ ( sP5
=> sP4 ) ),
inference(assume_negation,[status(cth)],[cX2109]) ).
thf(h1,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP5
=> sP4 ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP2,
introduced(assumption,[]) ).
thf(h4,assumption,
( sP5
=> sP4 ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ( sP5
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h6,assumption,
sP5,
introduced(assumption,[]) ).
thf(h7,assumption,
sP1,
introduced(assumption,[]) ).
thf(h8,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h9,assumption,
sP4,
introduced(assumption,[]) ).
thf(1,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h6,h7,h5,h1,h2,h0])],[h6,h8]) ).
thf(2,plain,
( ~ sP4
| ~ sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h9,h6,h7,h5,h1,h2,h0])],[2,h7,h9]) ).
thf(4,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[h2,1,3,h8,h9]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h5,h1,h2,h0]),tab_negimp(discharge,[h6,h7])],[h5,4,h6,h7]) ).
thf(6,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[h1,5,h5]) ).
thf(h10,assumption,
~ sP4,
introduced(assumption,[]) ).
thf(h11,assumption,
sP6,
introduced(assumption,[]) ).
thf(7,plain,
( ~ sP2
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP3
| ~ sP5
| ~ sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h11,h6,h10,h3,h4,h0])],[7,8,h3,h6,h11]) ).
thf(10,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h6,h10,h3,h4,h0]),tab_negall(discharge,[h11]),tab_negall(eigenvar,eigen__1)],[h10,9,h11]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h0]),tab_negimp(discharge,[h6,h10])],[h4,10,h6,h10]) ).
thf(12,plain,
$false,
inference(tab_be,[status(thm),assumptions([h0]),tab_be(discharge,[h1,h2]),tab_be(discharge,[h3,h4])],[h0,6,11,h1,h2,h3,h4]) ).
thf(0,theorem,
( ( ~ sP2 )
= ( ~ ( sP5
=> sP4 ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[12,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN358^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 06:37:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37 % SZS status Theorem
% 0.13/0.37 % Mode: mode213
% 0.13/0.37 % Inferences: 5
% 0.13/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------