%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : MGT048+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 : 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 : Tue Sep 8 06:11:28 AM UTC 2026
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 7 unt; 0 def)
% Number of atoms : 53 ( 9 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 49 ( 17 ~; 15 |; 8 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 2 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_5,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_5) ).
fof(lemma_5_negated,plain,
~ ! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) ),
inference(negate_conjecture,[status(cth)],[lemma_5]) ).
cnf(16,plain,
organization(sK1),
inference(cnf,[status(esa)],[lemma_5_negated]) ).
cnf(l0,plain,
organization(sK1),
inference(instantiation,[status(thm)],[16]) ).
fof(assumption_5,plain,
! [X,T0,T] :
( organization(X)
=> ( ( ( greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0))
& greater(internal_friction(X,T),internal_friction(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( stock_of_knowledge(X,T) = stock_of_knowledge(X,T0)
& internal_friction(X,T) = internal_friction(X,T0) )
=> capability(X,T) = capability(X,T0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
cnf(12,plain,
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_5]) ).
cnf(l1,plain,
( ~ organization(sK1)
| ~ smaller_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ greater(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| smaller(capability(sK1,sK3),capability(sK1,sK2)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(18,plain,
~ smaller(capability(sK1,sK3),capability(sK1,sK2)),
inference(cnf,[status(esa)],[lemma_5_negated]) ).
cnf(l4,plain,
~ smaller(capability(sK1,sK3),capability(sK1,sK2)),
inference(instantiation,[status(thm)],[18]) ).
fof(definition_smaller_or_equal,plain,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( smaller(X,Y)
| X = Y ) ),
file('Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
cnf(2,plain,
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf,[status(esa)],[definition_smaller_or_equal]) ).
cnf(l2,plain,
( stock_of_knowledge(sK1,sK3) != stock_of_knowledge(sK1,sK2)
| smaller_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(assumption_10,plain,
! [X,T0,T] :
( organization(X)
=> stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10) ).
cnf(14,plain,
( ~ organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
inference(cnf,[status(esa)],[assumption_10]) ).
cnf(l7,plain,
( ~ organization(sK1)
| stock_of_knowledge(sK1,sK3) = stock_of_knowledge(sK1,sK2) ),
inference(instantiation,[status(thm)],[14]) ).
fof(assumption_12,plain,
! [X,T0,T] :
( ( organization(X)
& greater(age(X,T),age(X,T0)) )
=> greater(internal_friction(X,T),internal_friction(X,T0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12) ).
cnf(15,plain,
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
inference(cnf,[status(esa)],[assumption_12]) ).
cnf(l3,plain,
( ~ organization(sK1)
| ~ greater(age(sK1,sK3),age(sK1,sK2))
| greater(internal_friction(sK1,sK3),internal_friction(sK1,sK2)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(17,plain,
greater(age(sK1,sK3),age(sK1,sK2)),
inference(cnf,[status(esa)],[lemma_5_negated]) ).
cnf(l11,plain,
greater(age(sK1,sK3),age(sK1,sK2)),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l7,l3,l11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT048+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 : n026.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 13:17:12 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % launching worker at depth: 2
% 0.14/0.36 % launching worker at depth: 6
% 0.14/0.36 % launching worker at depth: 3
% 0.14/0.36 % launching worker at depth: 4
% 0.14/0.36 % launching worker at depth: 5
% 0.14/0.36 % launching worker at depth: 1
% 0.14/0.36 % launching worker at depth: 7
% 0.14/0.36 % launching worker at depth: 8
% 0.14/0.36 % launching worker at depth: 9
% 0.14/0.37 % launching worker at depth: 10
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------