TSTP Solution File: SEU995^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SEU995^5 : 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 : n017.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 17:38:06 EDT 2023
% Result : Theorem 20.17s 20.39s
% Output : Proof 20.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cU,type,
cU: $i ).
thf(ty_cV,type,
cV: $i ).
thf(sP1,plain,
( sP1
<=> ( cU = cV ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ^ [X1: $i] : X1 )
= ( ^ [X1: $i] : cV ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i > $i,X2: $i > $i] : ( X2 = X1 ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ! [X1: $i] : ( cV = X1 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( ^ [X1: $i] : cV )
= ( ^ [X1: $i] : X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( cV = cU ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ! [X1: ( $i > $i ) > ( $i > $i ) > $i > $i,X2: $i > $i,X3: $i > $i] :
( ( X1 @ X2 @ X3 )
= ( X1 @ X3 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: $i > $i] :
( X1
= ( ^ [X2: $i] : cV ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(cTHM24_pme,conjecture,
( ~ sP1
=> ~ sP7 ) ).
thf(h0,negated_conjecture,
~ ( ~ sP1
=> ~ sP7 ),
inference(assume_negation,[status(cth)],[cTHM24_pme]) ).
thf(h1,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h2,assumption,
sP7,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP4
| sP6 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP8
| sP2 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP2
| sP5 ),
inference(symeq,[status(thm)],]) ).
thf(4,plain,
( ~ sP5
| sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP3
| sP8 ),
inference(all_rule,[status(thm)],]) ).
thf(6,plain,
( ~ sP7
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(7,plain,
( ~ sP6
| sP1 ),
inference(symeq,[status(thm)],]) ).
thf(8,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h2,h0])],[1,2,3,4,5,6,7,h1,h2]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,8,h1,h2]) ).
thf(0,theorem,
( ~ sP1
=> ~ sP7 ),
inference(contra,[status(thm),contra(discharge,[h0])],[9,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU995^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.11/0.33 % Computer : n017.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Aug 23 15:11:38 EDT 2023
% 0.11/0.33 % CPUTime :
% 20.17/20.39 % SZS status Theorem
% 20.17/20.39 % Mode: cade22grackle2x798d
% 20.17/20.39 % Steps: 81
% 20.17/20.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------