%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM520+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:40:50 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 5 unt; 2 def)
% Number of atoms : 29 ( 16 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 8 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,hypothesis,
~ ( xk = sz10
| xk = sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,hypothesis,
~ ( xk != sz10
& xk != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f210,plain,
( xk != sz10
& xk != sz00 ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f211,plain,
xk != sz00,
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f212,plain,
xk != sz10,
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f213,plain,
( xk = sz10
| xk = sz00 ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f214,plain,
( xk = sz10
| xk = sz00 ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f240,definition,
( sQ0_spl
<=> xk = sz00 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f241,plain,
( ~ sQ0_spl
| xk = sz00 ),
inference(component_clause,[status(thm)],[f240]) ).
fof(f243,definition,
( sQ1_spl
<=> xk = sz10 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ1_spl
| xk = sz10 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f214,f240,f243]) ).
fof(f323,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f211]) ).
fof(f324,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f244,f212]) ).
fof(f326,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f325]) ).
fof(f327,plain,
$false,
inference(sat_refutation,[status(thm)],[f246,f324,f326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM520+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n002.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 02:39:03 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.52 % Elapsed time: 0.060525 seconds
% 0.23/0.52 % CPU time: 0.160346 seconds
% 0.23/0.52 % Total memory used: 49.963 MB
% 0.23/0.52 % Net memory used: 49.886 MB
%------------------------------------------------------------------------------