TSTP Solution File: SEU891^5 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SEU891^5 : 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 : n007.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 14:10:42 EDT 2022
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_b,type,
b: $tType ).
thf(ty_cS,type,
cS: b > $o ).
thf(ty_eigen__2,type,
eigen__2: b ).
thf(ty_eigen__1,type,
eigen__1: b ).
thf(ty_eigen__0,type,
eigen__0: a ).
thf(ty_cR,type,
cR: b > $o ).
thf(ty_cF,type,
cF: b > a ).
thf(sP1,plain,
( sP1
<=> ( ( ~ ( cR @ eigen__2 )
=> ( cS @ eigen__2 ) )
=> ( eigen__0
!= ( cF @ eigen__2 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( eigen__0
= ( cF @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ~ ( cR @ eigen__1 )
=> ( cS @ eigen__1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ ( cR @ eigen__2 )
=> ( cS @ eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( eigen__0
= ( cF @ eigen__2 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( sP3
=> ~ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( cR @ eigen__1 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: b] :
( ( ~ ( cR @ X1 )
=> ( cS @ X1 ) )
=> ( eigen__0
!= ( cF @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( cS @ eigen__2 ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(cTHM34B_pme,conjecture,
! [X1: a] :
( ( ! [X2: b] :
( ( cR @ X2 )
=> ( X1
!= ( cF @ X2 ) ) )
=> ~ ! [X2: b] :
( ( cS @ X2 )
=> ( X1
!= ( cF @ X2 ) ) ) )
=> ~ ! [X2: b] :
( ( ~ ( cR @ X2 )
=> ( cS @ X2 ) )
=> ( X1
!= ( cF @ X2 ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: a] :
( ( ! [X2: b] :
( ( cR @ X2 )
=> ( X1
!= ( cF @ X2 ) ) )
=> ~ ! [X2: b] :
( ( cS @ X2 )
=> ( X1
!= ( cF @ X2 ) ) ) )
=> ~ ! [X2: b] :
( ( ~ ( cR @ X2 )
=> ( cS @ X2 ) )
=> ( X1
!= ( cF @ X2 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM34B_pme]) ).
thf(h1,assumption,
~ ( ( ! [X1: b] :
( ( cR @ X1 )
=> ( eigen__0
!= ( cF @ X1 ) ) )
=> ~ ! [X1: b] :
( ( cS @ X1 )
=> ( eigen__0
!= ( cF @ X1 ) ) ) )
=> ~ sP8 ),
introduced(assumption,[]) ).
thf(h2,assumption,
( ! [X1: b] :
( ( cR @ X1 )
=> ( eigen__0
!= ( cF @ X1 ) ) )
=> ~ ! [X1: b] :
( ( cS @ X1 )
=> ( eigen__0
!= ( cF @ X1 ) ) ) ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP8,
introduced(assumption,[]) ).
thf(h4,assumption,
~ ! [X1: b] :
( ( cR @ X1 )
=> ( eigen__0
!= ( cF @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h5,assumption,
~ ! [X1: b] :
( ( cS @ X1 )
=> ( eigen__0
!= ( cF @ X1 ) ) ),
introduced(assumption,[]) ).
thf(h6,assumption,
~ ( sP7
=> ~ sP2 ),
introduced(assumption,[]) ).
thf(h7,assumption,
sP7,
introduced(assumption,[]) ).
thf(h8,assumption,
sP2,
introduced(assumption,[]) ).
thf(1,plain,
( sP3
| ~ sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP8
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP6
| ~ sP3
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h7,h8,h6,h4,h2,h3,h1,h0])],[1,2,3,h7,h8,h3]) ).
thf(5,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h6,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h7,h8])],[h6,4,h7,h8]) ).
thf(6,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h4,h2,h3,h1,h0]),tab_negall(discharge,[h6]),tab_negall(eigenvar,eigen__1)],[h4,5,h6]) ).
thf(h9,assumption,
~ ( sP9
=> ~ sP5 ),
introduced(assumption,[]) ).
thf(h10,assumption,
sP9,
introduced(assumption,[]) ).
thf(h11,assumption,
sP5,
introduced(assumption,[]) ).
thf(7,plain,
( sP4
| ~ sP9 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( ~ sP8
| sP1 ),
inference(all_rule,[status(thm)],]) ).
thf(9,plain,
( ~ sP1
| ~ sP4
| ~ sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h10,h11,h9,h5,h2,h3,h1,h0])],[7,8,9,h10,h11,h3]) ).
thf(11,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h9,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h10,h11])],[h9,10,h10,h11]) ).
thf(12,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h5,h2,h3,h1,h0]),tab_negall(discharge,[h9]),tab_negall(eigenvar,eigen__2)],[h5,11,h9]) ).
thf(13,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h2,h3,h1,h0]),tab_imp(discharge,[h4]),tab_imp(discharge,[h5])],[h2,6,12,h4,h5]) ).
thf(14,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,13,h2,h3]) ).
thf(15,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,14,h1]) ).
thf(0,theorem,
! [X1: a] :
( ( ! [X2: b] :
( ( cR @ X2 )
=> ( X1
!= ( cF @ X2 ) ) )
=> ~ ! [X2: b] :
( ( cS @ X2 )
=> ( X1
!= ( cF @ X2 ) ) ) )
=> ~ ! [X2: b] :
( ( ~ ( cR @ X2 )
=> ( cS @ X2 ) )
=> ( X1
!= ( cF @ X2 ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[15,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU891^5 : 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
% 0.13/0.34 % Computer : n007.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 : Mon Jun 20 05:20:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % Mode: mode213
% 0.20/0.38 % Inferences: 11
% 0.20/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------