%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT102+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 01:25:36 PM UTC 2026
% Result : Unsatisfiable 0.10s 5.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 9 unt; 2 def)
% Number of atoms : 56 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 51 ( 21 ~; 18 |; 8 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X,Y] :
( leq(X,Y)
<=> ( X = Y
| less(X,Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] :
( ( leq(Y,X)
& leq(X,Y) )
=> X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
less(v600,v700),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
( v600 != v700
& v0 != v700
& v0 != v600 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( less(v600,v700)
& less(v700,v600) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,plain,
! [X,Y] :
( ( ( X != Y
& ~ less(X,Y) )
| leq(X,Y) )
& ( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f41,plain,
( ! [X,Y] :
( ( X != Y
& ~ less(X,Y) )
| leq(X,Y) )
& ! [X,Y] :
( X = Y
| less(X,Y)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f43,plain,
! [X0,X1] :
( ~ less(X0,X1)
| leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f45,plain,
! [X,Y] :
( X = Y
| ~ leq(Y,X)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f120,plain,
less(v600,v700),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f123,plain,
v600 != v700,
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f124,plain,
less(v700,v600),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f139,plain,
leq(v700,v600),
inference(resolution,[status(thm)],[f43,f124]) ).
fof(f140,plain,
leq(v600,v700),
inference(resolution,[status(thm)],[f43,f120]) ).
fof(f147,definition,
( sQ1_spl
<=> v700 = v600 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( ~ sQ1_spl
| v700 = v600 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f156,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f123]) ).
fof(f157,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f156]) ).
fof(f167,plain,
( v700 = v600
| ~ leq(v700,v600) ),
inference(resolution,[status(thm)],[f46,f140]) ).
fof(f174,definition,
( sQ6_spl
<=> leq(v700,v600) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f176,plain,
( sQ6_spl
| ~ leq(v700,v600) ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f167,f174,f147]) ).
fof(f184,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f139]) ).
fof(f185,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f184]) ).
fof(f186,plain,
$false,
inference(sat_refutation,[status(thm)],[f157,f177,f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT102+1 : TPTP v9.3.1. Bugfixed v9.3.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n026.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Mon Sep 21 01:28:42 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.38 % Drodi V4.1.1
% 0.10/5.39 % Refutation found
% 0.10/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.41 % Elapsed time: 0.028195 seconds
% 0.15/5.41 % CPU time: 0.081775 seconds
% 0.15/5.41 % Total memory used: 3.136 MB
% 0.15/5.41 % Net memory used: 3.051 MB
%------------------------------------------------------------------------------