%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT044+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 : Sun Sep 27 08:01:20 AM UTC 2026
% Result : Theorem 17.89s 2.73s
% Output : CNFRefutation 17.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 9 unt; 0 def)
% Number of atoms : 51 ( 8 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 44 ( 15 ~; 12 |; 8 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 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 : 32 ( 5 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_5,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( 'internal$ufriction'(X0,X2) = 'internal$ufriction'(X0,X1)
& 'stock$uof$uknowledge'(X0,X2) = 'stock$uof$uknowledge'(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) )
& ( ( greater('internal$ufriction'(X0,X2),'internal$ufriction'(X0,X1))
& 'smaller$uor$uequal'('stock$uof$uknowledge'(X0,X2),'stock$uof$uknowledge'(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( 'smaller$uor$uequal'('internal$ufriction'(X0,X2),'internal$ufriction'(X0,X1))
& greater('stock$uof$uknowledge'(X0,X2),'stock$uof$uknowledge'(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ) ) ) ).
fof(assumption_7,axiom,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater('stock$uof$uknowledge'(X0,X2),'stock$uof$uknowledge'(X0,X1)) ) ).
fof(assumption_9,axiom,
! [X0,X1,X2] :
( organization(X0)
=> 'internal$ufriction'(X0,X2) = 'internal$ufriction'(X0,X1) ) ).
fof(definition_smaller_or_equal,axiom,
! [X0,X1] :
( 'smaller$uor$uequal'(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ) ).
fof(lemma_3,conjecture,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(capability(X0,X2),capability(X0,X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(capability(X0,X2),capability(X0,X1)) ),
inference(negate_conjecture,[status(cth)],[lemma_3]) ).
cnf(c0,plain,
( greater(capability(X0,X1),capability(X0,X2))
| ~ 'smaller$uor$uequal'('internal$ufriction'(X0,X1),'internal$ufriction'(X0,X2))
| ~ greater('stock$uof$uknowledge'(X0,X1),'stock$uof$uknowledge'(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_5]) ).
cnf(c3,plain,
( greater('stock$uof$uknowledge'(X0,X1),'stock$uof$uknowledge'(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_7]) ).
cnf(c4,plain,
( 'internal$ufriction'(X0,X1) = 'internal$ufriction'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_9]) ).
cnf(c7,plain,
( X0 != X1
| 'smaller$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal]) ).
cnf(c16,plain,
organization(sK22),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c17,plain,
greater(age(sK22,sK24),age(sK22,sK23)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c18,plain,
~ greater(capability(sK22,sK24),capability(sK22,sK23)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'smaller$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c7]) ).
cnf(d1,plain,
( greater('stock$uof$uknowledge'(sK22,sK24),'stock$uof$uknowledge'(sK22,sK23))
| ~ organization(sK22) ),
inference(resolution,[status(thm)],[c3,c17]) ).
cnf(d2,plain,
greater('stock$uof$uknowledge'(sK22,sK24),'stock$uof$uknowledge'(sK22,sK23)),
inference(resolution,[status(thm)],[c16,d1]) ).
cnf(d3,plain,
( greater(capability(sK22,sK24),capability(sK22,sK23))
| ~ 'smaller$uor$uequal'('internal$ufriction'(sK22,sK24),'internal$ufriction'(sK22,sK23))
| ~ organization(sK22) ),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
( greater(capability(sK22,sK24),capability(sK22,sK23))
| ~ 'smaller$uor$uequal'('internal$ufriction'(sK22,sK24),'internal$ufriction'(sK22,sK23)) ),
inference(resolution,[status(thm)],[c16,d3]) ).
cnf(d5,plain,
~ 'smaller$uor$uequal'('internal$ufriction'(sK22,sK24),'internal$ufriction'(sK22,sK23)),
inference(resolution,[status(thm)],[c18,d4]) ).
cnf(d6,plain,
'internal$ufriction'(sK22,X0) = 'internal$ufriction'(sK22,X1),
inference(resolution,[status(thm)],[c4,c16]) ).
cnf(d7,plain,
~ 'smaller$uor$uequal'('internal$ufriction'(sK22,X0),'internal$ufriction'(sK22,sK23)),
inference(superposition,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT044+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.40 % Computer : n001.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sat Sep 26 00:15:12 UTC 2026
% 0.15/0.40 % CPUTime :
% 0.15/0.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.89/2.73 % SZS status Theorem for theBenchmark.p
% 17.89/2.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------