TSTP Solution File: NUM789^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : NUM789^1 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n004.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 : 600s
% DateTime : Mon Jul 18 13:56:37 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : Proof 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_rat,type,
rat: $tType ).
thf(ty_is,type,
is: rat > rat > $o ).
thf(ty_less,type,
less: rat > rat > $o ).
thf(ty_x0,type,
x0: rat ).
thf(ty_y0,type,
y0: rat ).
thf(ty_more,type,
more: rat > rat > $o ).
thf(sP1,plain,
( sP1
<=> ! [X1: rat,X2: rat] :
~ ( ( ( is @ X1 @ X2 )
=> ~ ( more @ X1 @ X2 ) )
=> ( ( ( more @ X1 @ X2 )
=> ~ ( less @ X1 @ X2 ) )
=> ~ ( ( less @ X1 @ X2 )
=> ~ ( is @ X1 @ X2 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( more @ x0 @ y0 )
=> ~ ( less @ x0 @ y0 ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( sP2
=> ~ ( ( less @ x0 @ y0 )
=> ~ ( is @ x0 @ y0 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( is @ x0 @ y0 ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( sP4
=> ~ ( more @ x0 @ y0 ) )
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( more @ x0 @ y0 ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( less @ x0 @ y0 )
=> ~ sP4 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( less @ x0 @ y0 ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ! [X1: rat] :
~ ( ( ( is @ x0 @ X1 )
=> ~ ( more @ x0 @ X1 ) )
=> ( ( ( more @ x0 @ X1 )
=> ~ ( less @ x0 @ X1 ) )
=> ~ ( ( less @ x0 @ X1 )
=> ~ ( is @ x0 @ X1 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(satz81h,conjecture,
~ ( ~ sP6
=> sP4 ) ).
thf(h0,negated_conjecture,
( ~ sP6
=> sP4 ),
inference(assume_negation,[status(cth)],[satz81h]) ).
thf(h1,assumption,
sP6,
introduced(assumption,[]) ).
thf(h2,assumption,
sP4,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP2
| ~ sP6
| ~ sP8 ),
inference(prop_rule,[status(thm)],]) ).
thf(2,plain,
( sP3
| sP2 ),
inference(prop_rule,[status(thm)],]) ).
thf(3,plain,
( sP5
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(4,plain,
( ~ sP9
| ~ sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(5,plain,
( ~ sP1
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(l,axiom,
sP8 ).
thf(satz81b,axiom,
sP1 ).
thf(6,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,2,3,4,5,l,satz81b,h1]) ).
thf(7,plain,
( ~ sP7
| ~ sP8
| ~ sP4 ),
inference(prop_rule,[status(thm)],]) ).
thf(8,plain,
( sP3
| sP7 ),
inference(prop_rule,[status(thm)],]) ).
thf(9,plain,
( sP5
| ~ sP3 ),
inference(prop_rule,[status(thm)],]) ).
thf(10,plain,
( ~ sP9
| ~ sP5 ),
inference(all_rule,[status(thm)],]) ).
thf(11,plain,
( ~ sP1
| sP9 ),
inference(all_rule,[status(thm)],]) ).
thf(12,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h2,h0])],[7,8,9,10,11,l,satz81b,h2]) ).
thf(13,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[h0,6,12,h1,h2]) ).
thf(0,theorem,
~ ( ~ sP6
=> sP4 ),
inference(contra,[status(thm),contra(discharge,[h0])],[13,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM789^1 : TPTP v8.1.0. Released v3.7.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.32 % Computer : n004.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Tue Jul 5 15:57:23 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.13/0.36 % SZS status Theorem
% 0.13/0.36 % Mode: mode213
% 0.13/0.36 % Inferences: 127
% 0.13/0.36 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------