%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : SYO883^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n012.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 03:24:17 PM UTC 2025
% Result : Unsatisfiable 6.83s 7.05s
% Output : Proof 6.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 5
% Syntax : Number of formulae : 6 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 3 ~; 1 |; 0 &; 30 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 6 con; 0-6 aty)
% Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% Comments :
%------------------------------------------------------------------------------
thf(ty_a,type,
a: $i ).
thf(ty_b,type,
b: $i ).
thf(ty_f,type,
f: $i > $i > $i > $i > $i > $i > $i ).
thf(ty_c,type,
c: $i ).
thf(sP1,plain,
( sP1
<=> ! [X1: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i] :
( ( ( X1 @ a @ b @ c @ c @ c @ c @ c @ c @ c )
= ( f @ b @ a @ c @ c @ c @ c ) )
=> ( ( X1 @ c @ a @ c @ c @ c @ c @ c @ c @ c )
!= ( f @ a @ c @ c @ c @ c @ c ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> $false ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(1,plain,
( ~ sP1
| sP2 ),
inference(all_rule,[status(thm)],[]) ).
thf(2,plain,
~ sP2,
inference(prop_rule,[status(thm)],[]) ).
thf(ax,axiom,
sP1 ).
thf(3,plain,
$false,
inference(prop_unsat,[status(thm)],[1,2,ax]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO883^1 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.12 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Oct 9 01:32:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 6.83/7.05 % SZS status Unsatisfiable
% 6.83/7.05 % Mode: cade22grackle2xfee4
% 6.83/7.05 % Steps: 16008344
% 6.83/7.05 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------