TSTP Solution File: SYO132^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO132^5 : 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 : n003.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 : Fri Sep 1 04:45:22 EDT 2023
% Result : Theorem 0.18s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cS,type,
cS: $i > $o ).
thf(ty_cT,type,
cT: $i > $o ).
thf(ty_cX,type,
cX: $i ).
thf(ty_cP,type,
cP: ( $i > $o ) > $o ).
thf(sP1,plain,
( sP1
<=> ( cS = cT ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( cS @ cX ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ! [X1: $i] :
( ( cS @ X1 )
= ( cT @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( cP @ cT ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( cT @ cX ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( sP4
=> ~ sP2 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( sP2 = sP5 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( cP @ cS ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(cTHM503,conjecture,
( ~ ( ~ ( sP8
=> ~ sP5 )
=> ~ sP1 )
=> ~ sP6 ) ).
thf(h0,negated_conjecture,
~ ( ~ ( ~ ( sP8
=> ~ sP5 )
=> ~ sP1 )
=> ~ sP6 ),
inference(assume_negation,[status(cth)],[cTHM503]) ).
thf(h1,assumption,
~ ( ~ ( sP8
=> ~ sP5 )
=> ~ sP1 ),
introduced(assumption,[]) ).
thf(h2,assumption,
sP6,
introduced(assumption,[]) ).
thf(h3,assumption,
~ ( sP8
=> ~ sP5 ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP1,
introduced(assumption,[]) ).
thf(h5,assumption,
sP8,
introduced(assumption,[]) ).
thf(h6,assumption,
sP5,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP7
| sP2
| ~ sP5 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP3
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP8
| sP4
| ~ sP1 ),
inference(mating_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP6
| ~ sP4
| ~ sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP1
| sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h5,h6,h3,h4,h1,h2,h0])],[1,2,3,4,5,h5,h6,h4,h2]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[h3,6,h5,h6]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h1,7,h3,h4]) ).
thf(9,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,8,h1,h2]) ).
thf(0,theorem,
( ~ ( ~ ( sP8
=> ~ sP5 )
=> ~ sP1 )
=> ~ sP6 ),
inference(contra,[status(thm),contra(discharge,[h0])],[9,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO132^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Aug 26 00:46:53 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.37 % SZS status Theorem
% 0.18/0.37 % Mode: cade22grackle2xfee4
% 0.18/0.37 % Steps: 24
% 0.18/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------