%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 : Tue Sep 8 06:11:28 AM UTC 2026
% Result : Theorem 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 28 ( 13 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 24 ( 9 ~; 6 |; 3 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 18 ( 2 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_6,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> position(X,T) = position(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_6) ).
fof(lemma_6_negated,plain,
~ ! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> position(X,T) = position(X,T0) ),
inference(negate_conjecture,[status(cth)],[lemma_6]) ).
cnf(14,plain,
organization(sK1),
inference(cnf,[status(esa)],[lemma_6_negated]) ).
cnf(l0,plain,
organization(sK1),
inference(instantiation,[status(thm)],[14]) ).
fof(assumption_6,plain,
! [X,T0,T] :
( organization(X)
=> ( ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) )
& ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_6) ).
cnf(12,plain,
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
inference(cnf,[status(esa)],[assumption_6]) ).
cnf(l1,plain,
( ~ organization(sK1)
| external_ties(sK1,sK3) != external_ties(sK1,sK2)
| position(sK1,sK3) = position(sK1,sK2) ),
inference(instantiation,[status(thm)],[12]) ).
fof(assumption_11,plain,
! [X,T0,T] :
( organization(X)
=> external_ties(X,T) = external_ties(X,T0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_11) ).
cnf(13,plain,
( ~ organization(X0)
| external_ties(X0,X1) = external_ties(X0,X2) ),
inference(cnf,[status(esa)],[assumption_11]) ).
cnf(l2,plain,
( ~ organization(sK1)
| external_ties(sK1,sK3) = external_ties(sK1,sK2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(16,plain,
position(sK1,sK3) != position(sK1,sK2),
inference(cnf,[status(esa)],[lemma_6_negated]) ).
cnf(l3,plain,
position(sK1,sK3) != position(sK1,sK2),
inference(instantiation,[status(thm)],[16]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT049+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 7 13:16:53 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % launching worker at depth: 1
% 0.10/0.37 % launching worker at depth: 3
% 0.10/0.37 % launching worker at depth: 2
% 0.10/0.37 % launching worker at depth: 4
% 0.10/0.37 % launching worker at depth: 5
% 0.10/0.37 % launching worker at depth: 6
% 0.10/0.37 % launching worker at depth: 7
% 0.10/0.37 % launching worker at depth: 8
% 0.10/0.38 % launching worker at depth: 9
% 0.10/0.38 % SZS status Theorem for theBenchmark
% 0.10/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------