TSTP Solution File: SEU926^5 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEU926^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n031.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 : 300s
% DateTime : Thu Aug 31 17:37:55 EDT 2023
% Result : Theorem 0.21s 0.42s
% Output : Proof 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_eigen__0,type,
eigen__0: $i > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: ( $i > $i ) > $o] :
~ ! [X2: $i > $i] :
( ( X1 @ X2 )
=> ~ ( ( X1
@ ^ [X3: $i] : ( X2 @ ( X2 @ X3 ) ) )
=> ~ ! [X3: $i] :
( ( eigen__0 @ X3 )
=> ( eigen__0 @ ( X2 @ X3 ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> $false ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cTHM113,conjecture,
! [X1: $i > $o] :
~ ! [X2: ( $i > $i ) > $o] :
~ ! [X3: $i > $i] :
( ( X2 @ X3 )
=> ~ ( ( X2
@ ^ [X4: $i] : ( X3 @ ( X3 @ X4 ) ) )
=> ~ ! [X4: $i] :
( ( X1 @ X4 )
=> ( X1 @ ( X3 @ X4 ) ) ) ) ) ).
thf(h0,negated_conjecture,
~ ! [X1: $i > $o] :
~ ! [X2: ( $i > $i ) > $o] :
~ ! [X3: $i > $i] :
( ( X2 @ X3 )
=> ~ ( ( X2
@ ^ [X4: $i] : ( X3 @ ( X3 @ X4 ) ) )
=> ~ ! [X4: $i] :
( ( X1 @ X4 )
=> ( X1 @ ( X3 @ X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM113]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(1,plain,
~ sP2,
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP1
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,h1]) ).
thf(4,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,3,h1]) ).
thf(0,theorem,
! [X1: $i > $o] :
~ ! [X2: ( $i > $i ) > $o] :
~ ! [X3: $i > $i] :
( ( X2 @ X3 )
=> ~ ( ( X2
@ ^ [X4: $i] : ( X3 @ ( X3 @ X4 ) ) )
=> ~ ! [X4: $i] :
( ( X1 @ X4 )
=> ( X1 @ ( X3 @ X4 ) ) ) ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[4,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SEU926^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 18:05:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.42 % SZS status Theorem
% 0.21/0.42 % Mode: cade22grackle2xfee4
% 0.21/0.42 % Steps: 25
% 0.21/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------