%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 7 unt; 2 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 7 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 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(f51,hypothesis,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
~ doDivides0(xr,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
~ doDivides0(xr,xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,plain,
( doDivides0(xr,xm)
| doDivides0(xr,xn) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f201,plain,
~ doDivides0(xr,xn),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f202,plain,
~ doDivides0(xr,xm),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f206,definition,
( sQ0_spl
<=> doDivides0(xr,xn) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( ~ sQ0_spl
| doDivides0(xr,xn) ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,definition,
( sQ1_spl
<=> doDivides0(xr,xm) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( ~ sQ1_spl
| doDivides0(xr,xm) ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f200,f206,f209]) ).
fof(f361,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f201]) ).
fof(f362,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f361]) ).
fof(f363,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f202]) ).
fof(f364,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f363]) ).
fof(f365,plain,
$false,
inference(sat_refutation,[status(thm)],[f212,f362,f364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM519+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 02:38:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.038221 seconds
% 0.09/0.41 % CPU time: 0.101643 seconds
% 0.09/0.41 % Total memory used: 23.284 MB
% 0.09/0.41 % Net memory used: 23.247 MB
%------------------------------------------------------------------------------