%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 01:25:26 PM UTC 2026
% Result : Theorem 0.08s 0.36s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 6 unt; 3 def)
% Number of atoms : 71 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 27 ~; 23 |; 10 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 29 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) )
& ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(external_ties(X,T),external_ties(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(position(X,T),position(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> greater(position(X,T),position(X,T0)) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f31,plain,
! [X,T0,T] :
( ( ( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
! [X] :
( ( ! [T0,T] :
( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ! [T0,T] :
( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(position(X0,X1),position(X0,X2))
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
! [X,T0,T] :
( greater(external_ties(X,T),external_ties(X,T0))
| ~ greater(age(X,T),age(X,T0))
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f37,plain,
? [X,T0,T] :
( ~ greater(position(X,T),position(X,T0))
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f38,plain,
( ~ greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl))
& greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl))
& organization(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(T0,sK1_skl),skolemize(T,sK2_skl)],[f37]) ).
fof(f39,plain,
organization(sK0_skl),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
greater(age(sK0_skl,sK2_skl),age(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f41,plain,
~ greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl)),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f47,plain,
( greater(external_ties(sK0_skl,sK2_skl),external_ties(sK0_skl,sK1_skl))
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f36,f40]) ).
fof(f48,definition,
( sQ0_spl
<=> organization(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f50,plain,
( sQ0_spl
| ~ organization(sK0_skl) ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f51,definition,
( sQ1_spl
<=> greater(external_ties(sK0_skl,sK2_skl),external_ties(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( ~ sQ1_spl
| greater(external_ties(sK0_skl,sK2_skl),external_ties(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f47,f48,f51]) ).
fof(f55,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f50,f39]) ).
fof(f56,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f55]) ).
fof(f57,plain,
( ~ sQ1_spl
| greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl))
| ~ organization(sK0_skl) ),
inference(resolution,[status(thm)],[f52,f33]) ).
fof(f60,definition,
( sQ2_spl
<=> greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( ~ sQ2_spl
| greater(position(sK0_skl,sK2_skl),position(sK0_skl,sK1_skl)) ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( ~ sQ1_spl
| sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f48,f60,f51]) ).
fof(f64,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f41]) ).
fof(f65,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f64]) ).
fof(f66,plain,
$false,
inference(sat_refutation,[status(thm)],[f54,f56,f63,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:26:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.36 % Refutation found
% 0.08/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.39 % Elapsed time: 0.035302 seconds
% 0.08/0.39 % CPU time: 0.061592 seconds
% 0.08/0.39 % Total memory used: 5.024 MB
% 0.08/0.39 % Net memory used: 5.017 MB
%------------------------------------------------------------------------------