TSTP Solution File: SYO146^5 by Lash---1.13
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- Process Solution
%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO146^5 : 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 : n001.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 04:45:28 EDT 2023
% Result : Theorem 0.20s 0.37s
% Output : Proof 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_cQ,type,
cQ: $i > $o ).
thf(ty_b,type,
b: $i ).
thf(ty_c,type,
c: $i ).
thf(ty_a,type,
a: $i ).
thf(ty_cP,type,
cP: $i > $i > $o ).
thf(sP1,plain,
( sP1
<=> ( ( cP @ a @ b )
=> ~ ( cP @ a @ c ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ! [X1: $i] : ( cP @ a @ X1 ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( cP @ a @ c ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( ~ sP2
=> ( cQ @ a ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ! [X1: $i] :
( ~ ! [X2: $i] : ( cP @ X1 @ X2 )
=> ( cQ @ X1 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( cQ @ a ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( cP @ a @ b ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(cDUP_EXPL_1,conjecture,
( sP5
=> ( sP1
=> sP6 ) ) ).
thf(h0,negated_conjecture,
~ ( sP5
=> ( sP1
=> sP6 ) ),
inference(assume_negation,[status(cth)],[cDUP_EXPL_1]) ).
thf(h1,assumption,
sP5,
introduced(assumption,[]) ).
thf(h2,assumption,
~ ( sP1
=> sP6 ),
introduced(assumption,[]) ).
thf(h3,assumption,
sP1,
introduced(assumption,[]) ).
thf(h4,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP2
| sP3 ),
inference(all_rule,[status(thm)],]) ).
thf(2,plain,
( ~ sP2
| sP7 ),
inference(all_rule,[status(thm)],]) ).
thf(3,plain,
( ~ sP4
| sP2
| sP6 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP5
| sP4 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP1
| ~ sP7
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h3,h4,h1,h2,h0])],[1,2,3,4,5,h1,h3,h4]) ).
thf(7,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[h2,6,h3,h4]) ).
thf(8,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[h0,7,h1,h2]) ).
thf(0,theorem,
( sP5
=> ( sP1
=> sP6 ) ),
inference(contra,[status(thm),contra(discharge,[h0])],[8,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO146^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.15/0.33 % Computer : n001.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Sat Aug 26 03:08:45 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.20/0.37 % SZS status Theorem
% 0.20/0.37 % Mode: cade22grackle2xfee4
% 0.20/0.37 % Steps: 22
% 0.20/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------