%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT043+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 11.41s 2.19s
% Output : CNFRefutation 11.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 39 ( 15 unt; 0 def)
% Number of atoms : 116 ( 25 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 114 ( 37 ~; 38 |; 23 &)
% ( 3 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_4,axiom,
! [X0,X1,X2] :
( ( ~ 'has$uimmunity'(X0,X2)
& ~ 'has$uimmunity'(X0,X1)
& organization(X0) )
=> ( ( ( position(X0,X2) = position(X0,X1)
& capability(X0,X2) = capability(X0,X1) )
=> 'hazard$uof$umortality'(X0,X2) = 'hazard$uof$umortality'(X0,X1) )
& ( ( greater(position(X0,X2),position(X0,X1))
& 'greater$uor$uequal'(capability(X0,X2),capability(X0,X1)) )
=> smaller('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1)) )
& ( ( 'greater$uor$uequal'(position(X0,X2),position(X0,X1))
& greater(capability(X0,X2),capability(X0,X1)) )
=> smaller('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1)) ) ) ) ).
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_6,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( 'external$uties'(X0,X2) = 'external$uties'(X0,X1)
=> position(X0,X2) = position(X0,X1) )
& ( greater('external$uties'(X0,X2),'external$uties'(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) ) ) ) ).
fof(definition_smaller_or_equal,axiom,
! [X0,X1] :
( 'smaller$uor$uequal'(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ) ).
fof(definition_greater_or_equal,axiom,
! [X0,X1] :
( 'greater$uor$uequal'(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ) ).
fof(definition_smaller,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ) ).
fof(lemma_2,conjecture,
! [X0,X1,X2] :
( ( 'external$uties'(X0,X1) = 'external$uties'(X0,X2)
& greater('internal$ufriction'(X0,X2),'internal$ufriction'(X0,X1))
& 'stock$uof$uknowledge'(X0,X2) = 'stock$uof$uknowledge'(X0,X1)
& ~ 'has$uimmunity'(X0,X2)
& ~ 'has$uimmunity'(X0,X1)
& organization(X0) )
=> greater('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2] :
( ( 'external$uties'(X0,X1) = 'external$uties'(X0,X2)
& greater('internal$ufriction'(X0,X2),'internal$ufriction'(X0,X1))
& 'stock$uof$uknowledge'(X0,X2) = 'stock$uof$uknowledge'(X0,X1)
& ~ 'has$uimmunity'(X0,X2)
& ~ 'has$uimmunity'(X0,X1)
& organization(X0) )
=> greater('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1)) ),
inference(negate_conjecture,[status(cth)],[lemma_2]) ).
cnf(c0,plain,
( ~ 'greater$uor$uequal'(position(X0,X1),position(X0,X2))
| 'has$uimmunity'(X0,X1)
| smaller('hazard$uof$umortality'(X0,X1),'hazard$uof$umortality'(X0,X2))
| ~ organization(X0)
| 'has$uimmunity'(X0,X2)
| ~ greater(capability(X0,X1),capability(X0,X2)) ),
inference(clausification,[status(esa)],[assumption_4]) ).
cnf(c4,plain,
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater('internal$ufriction'(X0,X1),'internal$ufriction'(X0,X2))
| ~ 'smaller$uor$uequal'('stock$uof$uknowledge'(X0,X1),'stock$uof$uknowledge'(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_5]) ).
cnf(c7,plain,
( position(X0,X1) = position(X0,X2)
| 'external$uties'(X0,X1) != 'external$uties'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_6]) ).
cnf(c10,plain,
( X0 != X1
| 'smaller$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal]) ).
cnf(c13,plain,
( X0 != X1
| 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[definition_greater_or_equal]) ).
cnf(c14,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller]) ).
cnf(c19,plain,
organization(sK22),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c20,plain,
~ 'has$uimmunity'(sK22,sK23),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c21,plain,
~ 'has$uimmunity'(sK22,sK24),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c22,plain,
'stock$uof$uknowledge'(sK22,sK24) = 'stock$uof$uknowledge'(sK22,sK23),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c23,plain,
greater('internal$ufriction'(sK22,sK24),'internal$ufriction'(sK22,sK23)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c24,plain,
'external$uties'(sK22,sK23) = 'external$uties'(sK22,sK24),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c25,plain,
~ greater('hazard$uof$umortality'(sK22,sK24),'hazard$uof$umortality'(sK22,sK23)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ organization(sK22)
| position(sK22,sK24) = position(sK22,X0)
| 'external$uties'(sK22,sK23) != 'external$uties'(sK22,X0) ),
inference(superposition,[status(thm)],[c24,c7]) ).
cnf(d1,plain,
( 'external$uties'(sK22,sK23) != 'external$uties'(sK22,X0)
| position(sK22,sK24) = position(sK22,X0) ),
inference(resolution,[status(thm)],[c19,d0]) ).
cnf(d2,plain,
position(sK22,sK24) = position(sK22,sK23),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( smaller(capability(sK22,sK24),capability(sK22,X0))
| ~ greater('internal$ufriction'(sK22,sK24),'internal$ufriction'(sK22,X0))
| ~ organization(sK22)
| ~ 'smaller$uor$uequal'('stock$uof$uknowledge'(sK22,sK23),'stock$uof$uknowledge'(sK22,X0)) ),
inference(superposition,[status(thm)],[c22,c4]) ).
cnf(d4,plain,
( ~ 'smaller$uor$uequal'('stock$uof$uknowledge'(sK22,sK23),'stock$uof$uknowledge'(sK22,X0))
| smaller(capability(sK22,sK24),capability(sK22,X0))
| ~ greater('internal$ufriction'(sK22,sK24),'internal$ufriction'(sK22,X0)) ),
inference(resolution,[status(thm)],[c19,d3]) ).
cnf(d5,plain,
'smaller$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c10]) ).
cnf(d6,plain,
( smaller(capability(sK22,sK24),capability(sK22,sK23))
| ~ greater('internal$ufriction'(sK22,sK24),'internal$ufriction'(sK22,sK23)) ),
inference(resolution,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
smaller(capability(sK22,sK24),capability(sK22,sK23)),
inference(resolution,[status(thm)],[c23,d6]) ).
cnf(d8,plain,
greater(capability(sK22,sK23),capability(sK22,sK24)),
inference(resolution,[status(thm)],[d7,c14]) ).
cnf(d9,plain,
( smaller('hazard$uof$umortality'(sK22,sK23),'hazard$uof$umortality'(sK22,sK24))
| 'has$uimmunity'(sK22,sK23)
| 'has$uimmunity'(sK22,sK24)
| ~ 'greater$uor$uequal'(position(sK22,sK23),position(sK22,sK24))
| ~ organization(sK22) ),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
( smaller('hazard$uof$umortality'(sK22,sK23),'hazard$uof$umortality'(sK22,sK24))
| 'has$uimmunity'(sK22,sK24)
| 'has$uimmunity'(sK22,sK23)
| ~ 'greater$uor$uequal'(position(sK22,sK23),position(sK22,sK23))
| ~ organization(sK22) ),
inference(demodulation,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
( smaller('hazard$uof$umortality'(sK22,sK23),'hazard$uof$umortality'(sK22,sK24))
| 'has$uimmunity'(sK22,sK24)
| 'has$uimmunity'(sK22,sK23)
| ~ 'greater$uor$uequal'(position(sK22,sK23),position(sK22,sK23)) ),
inference(resolution,[status(thm)],[c19,d10]) ).
cnf(d12,plain,
( smaller('hazard$uof$umortality'(sK22,sK23),'hazard$uof$umortality'(sK22,sK24))
| 'has$uimmunity'(sK22,sK24)
| ~ 'greater$uor$uequal'(position(sK22,sK23),position(sK22,sK23)) ),
inference(resolution,[status(thm)],[c20,d11]) ).
cnf(d13,plain,
( smaller('hazard$uof$umortality'(sK22,sK23),'hazard$uof$umortality'(sK22,sK24))
| ~ 'greater$uor$uequal'(position(sK22,sK23),position(sK22,sK23)) ),
inference(resolution,[status(thm)],[c21,d12]) ).
cnf(d14,plain,
'greater$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c13]) ).
cnf(d15,plain,
smaller('hazard$uof$umortality'(sK22,sK23),'hazard$uof$umortality'(sK22,sK24)),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
greater('hazard$uof$umortality'(sK22,sK24),'hazard$uof$umortality'(sK22,sK23)),
inference(resolution,[status(thm)],[d15,c14]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[c25,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT043+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 00:06:23 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.41/2.19 % SZS status Theorem for theBenchmark.p
% 11.41/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------