%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 : Fri Sep 25 02:11:50 PM UTC 2026
% Result : Theorem 22.32s 3.94s
% Output : Proof 22.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% Number of atoms : 45 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 43 ( 16 ~; 12 |; 9 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 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 : 39 ( 6 sgn 24 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,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',assumption_6) ).
fof(f6_nnf,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(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,T,T0] :
( ( ( 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(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c12,plain,
( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f8,conjecture,
! [X,T0,T] :
( ( greater(age(X,T),age(X,T0))
& organization(X) )
=> position(X,T) = position(X,T0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_6) ).
fof(f8_neg,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)],[f8]) ).
fof(f8_nnf,plain,
? [X,T0,T] :
( position(X,T) != position(X,T0)
& greater(age(X,T),age(X,T0))
& organization(X) ),
inference(nnf_transformation,[status(thm)],[f8_neg]) ).
fof(f8_sk,plain,
( position(sk0,sk2) != position(sk0,sk1)
& greater(age(sk0,sk2),age(sk0,sk1))
& organization(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f8_nnf]) ).
cnf(c14,plain,
organization(sk0),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p43,plain,
( position(sk0,X0) = position(sk0,X1)
| external_ties(sk0,X0) != external_ties(sk0,X1) ),
inference(resolution,[status(thm)],[c12,c14]) ).
fof(f7,axiom,
! [X,T0,T] :
( organization(X)
=> external_ties(X,T) = external_ties(X,T0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).
fof(f7_nnf,plain,
! [X,T0,T] :
( external_ties(X,T) = external_ties(X,T0)
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,T,T0] :
( external_ties(X,T) = external_ties(X,T0)
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c13,plain,
( external_ties(X0,X2) = external_ties(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p25,plain,
external_ties(sk0,X0) = external_ties(sk0,X1),
inference(resolution,[status(thm)],[c13,c14]) ).
cnf(p44,plain,
position(sk0,X0) = position(sk0,X1),
inference(resolution,[status(thm)],[p43,p25]) ).
cnf(c16,plain,
position(sk0,sk2) != position(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f8_sk]) ).
cnf(p45,plain,
$false,
inference(resolution,[status(thm)],[p44,c16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT049+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 01:12:33 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 22.32/3.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.32/3.94 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------