%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT045+1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 06:11:27 AM UTC 2026
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 33 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 29 ( 11 ~; 8 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_4,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(position(X,T),position(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(lemma_4_negated,plain,
~ ! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(position(X,T),position(X,T0)) ),
inference(negate_conjecture,[status(cth)],[lemma_4]) ).
cnf(14,plain,
organization(sK1),
inference(cnf,[status(esa)],[lemma_4_negated]) ).
cnf(l0,plain,
organization(sK1),
inference(instantiation,[status(thm)],[14]) ).
fof(assumption_8,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(external_ties(X,T),external_ties(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
cnf(13,plain,
( ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0)
| greater(external_ties(X0,X1),external_ties(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_8]) ).
cnf(l1,plain,
( ~ greater(age(sK1,sK3),age(sK1,sK2))
| ~ organization(sK1)
| greater(external_ties(sK1,sK3),external_ties(sK1,sK2)) ),
inference(instantiation,[status(thm)],[13]) ).
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/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
cnf(11,plain,
( ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ organization(X0)
| greater(position(X0,X1),position(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_6]) ).
cnf(l3,plain,
( ~ greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ~ organization(sK1)
| greater(position(sK1,sK3),position(sK1,sK2)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(16,plain,
~ greater(position(sK1,sK3),position(sK1,sK2)),
inference(cnf,[status(esa)],[lemma_4_negated]) ).
cnf(l5,plain,
~ greater(position(sK1,sK3),position(sK1,sK2)),
inference(instantiation,[status(thm)],[16]) ).
cnf(15,plain,
greater(age(sK1,sK3),age(sK1,sK2)),
inference(cnf,[status(esa)],[lemma_4_negated]) ).
cnf(l9,plain,
greater(age(sK1,sK3),age(sK1,sK2)),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l5,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT045+1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 13:09:05 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------