TSTP Solution File: SEV256^5 by Lash---1.13
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%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEV256^5 : 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 : n032.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 19:33:08 EDT 2023
% Result : Theorem 20.12s 20.39s
% Output : Proof 20.12s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $tType ).
thf(ty_cOPEN,type,
cOPEN: ( a > $o ) > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: ( a > $o ) > $o] :
( ! [X2: a > $o] :
( ( X1 @ X2 )
=> ( cOPEN @ X2 ) )
=> ( cOPEN
@ ^ [X2: a] :
~ ! [X3: a > $o] :
( ( X1 @ X3 )
=> ~ ( X3 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cOPEN
@ ^ [X1: a] : $false ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(cTHM625A_pme,conjecture,
( sP1
=> sP2 ) ).
thf(h0,negated_conjecture,
~ ( sP1
=> sP2 ),
inference(assume_negation,[status(cth)],[cTHM625A_pme]) ).
thf(h1,assumption,
sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP1
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h2,h0])],[1,h1,h2]) ).
thf(3,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,2,h1,h2]) ).
thf(0,theorem,
( sP1
=> sP2 ),
inference(contra,[status(thm),contra(discharge,[h0])],[3,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV256^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.09 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu Aug 24 02:42:56 EDT 2023
% 0.09/0.28 % CPUTime :
% 20.12/20.39 % SZS status Theorem
% 20.12/20.39 % Mode: cade22grackle2x798d
% 20.12/20.39 % Steps: 14
% 20.12/20.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------