%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 01:25:27 PM UTC 2026
% Result : Theorem 0.14s 5.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 def)
% Number of atoms : 44 ( 19 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 16 ~; 12 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 40 ( 37 !; 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/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,T0,T] :
( organization(X)
=> external_ties(X,T) = external_ties(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> position(X,T) = position(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> 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(f34,plain,
! [X0,X1,X2] :
( position(X0,X1) = position(X0,X2)
| external_ties(X0,X1) != external_ties(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f35,plain,
! [X,T0,T] :
( external_ties(X,T) = external_ties(X,T0)
| ~ organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
! [X] :
( ! [T0,T] : external_ties(X,T) = external_ties(X,T0)
| ~ organization(X) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( external_ties(X0,X1) = external_ties(X0,X2)
| ~ organization(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,plain,
? [X,T0,T] :
( position(X,T) != position(X,T0)
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
( 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)],[f38]) ).
fof(f40,plain,
organization(sK0_skl),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f42,plain,
position(sK0_skl,sK2_skl) != position(sK0_skl,sK1_skl),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f52,plain,
! [X0,X1,X2] :
( position(X0,X1) = position(X0,X2)
| ~ organization(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f37]) ).
fof(f53,plain,
! [X0,X1] : position(sK0_skl,X0) = position(sK0_skl,X1),
inference(resolution,[status(thm)],[f52,f40]) ).
fof(f55,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f42,f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n026.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Mon Sep 21 01:26:42 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.38 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.43 % Elapsed time: 0.055133 seconds
% 0.14/5.43 % CPU time: 0.147391 seconds
% 0.14/5.43 % Total memory used: 80.142 MB
% 0.14/5.43 % Net memory used: 79.773 MB
%------------------------------------------------------------------------------