%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : SYO039^1 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n002.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 Oct 9 03:24:43 PM UTC 2025
% Result : Unsatisfiable 0.22s 0.38s
% Output : Proof 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 17
% Syntax : Number of formulae : 18 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 11 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 50 ( 16 ~; 10 |; 0 &; 16 @)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_h,type,
h: $o > $i ).
thf(sP1,plain,
( sP1
<=> ( $false = $false ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( ~ $false )
= ( ( h @ $false )
= ( h @ ~ $false ) ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( h @ ~ $false )
= ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> $false ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ( h @ sP4 )
= ( h @ sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ( ( h
@ ( ( h @ sP4 )
= ( h @ ~ sP4 ) ) )
= ( h @ sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( ( ( h @ sP4 )
= ( h @ ~ sP4 ) )
= sP4 ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ( ( h @ sP4 )
= ( h @ ~ sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(1,plain,
( sP2
| sP4
| ~ sP8 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
sP1,
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( sP3
| ~ sP2 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( sP5
| ~ sP1 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP8
| sP6
| ~ sP3
| ~ sP5 ),
inference(confrontation_rule,[status(thm)],[]) ).
thf(6,plain,
~ sP4,
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( sP7
| sP8
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( sP6
| ~ sP7 ),
inference(prop_rule,[status(thm)],[]) ).
thf('1_001',axiom,
~ sP6 ).
thf(9,plain,
$false,
inference(prop_unsat,[status(thm)],[1,2,3,4,5,6,7,8,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO039^1 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Oct 9 01:22:08 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.22/0.38 % SZS status Unsatisfiable
% 0.22/0.38 % Mode: mode213
% 0.22/0.38 % Inferences: 27
% 0.22/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------