%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT050-1 : 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 : n011.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 08:01:22 AM UTC 2026
% Result : Unsatisfiable 4.76s 2.71s
% Output : CNFRefutation 4.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of clauses : 54 ( 19 unt; 10 nHn; 43 RR)
% Number of literals : 121 ( 19 equ; 54 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 23 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_1_41,axiom,
( ~ 'has$uimmunity'(X0,X1)
| 'has$uendowment'(X0)
| ~ organization(X0) ) ).
cnf(assumption_4_42,axiom,
( 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))
| 'has$uimmunity'(X0,X2)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_5_46,axiom,
( 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) ) ).
cnf(assumption_6_49,axiom,
( position(X0,X1) = position(X0,X2)
| 'external$uties'(X0,X1) != 'external$uties'(X0,X2)
| ~ organization(X0) ) ).
cnf(assumption_10_50,axiom,
( 'stock$uof$uknowledge'(X0,X1) = 'stock$uof$uknowledge'(X0,X2)
| ~ organization(X0) ) ).
cnf(assumption_11_51,axiom,
( 'external$uties'(X0,X1) = 'external$uties'(X0,X2)
| ~ organization(X0) ) ).
cnf(assumption_12_52,axiom,
( greater('internal$ufriction'(X0,X1),'internal$ufriction'(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ) ).
cnf(theorem_3_53,negated_conjecture,
organization(sk1) ).
cnf(theorem_3_54,negated_conjecture,
~ 'has$uendowment'(sk1) ).
cnf(theorem_3_55,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)) ).
cnf(theorem_3_56,negated_conjecture,
~ greater('hazard$uof$umortality'(sk1,sk3),'hazard$uof$umortality'(sk1,sk2)) ).
cnf(definition_smaller_or_equal_3,axiom,
( 'smaller$uor$uequal'(X0,X1)
| X0 != X1 ) ).
cnf(definition_greater_or_equal_6,axiom,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ) ).
cnf(definition_smaller_7,axiom,
( greater(X1,X0)
| ~ smaller(X0,X1) ) ).
cnf(c0,plain,
( ~ 'has$uimmunity'(X0,X1)
| 'has$uendowment'(X0)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_1_41]) ).
cnf(c1,plain,
( ~ greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| 'has$uimmunity'(X0,X2)
| smaller('hazard$uof$umortality'(X0,X1),'hazard$uof$umortality'(X0,X2))
| 'has$uimmunity'(X0,X1)
| ~ 'greater$uor$uequal'(position(X0,X1),position(X0,X2)) ),
inference(clausification,[status(esa)],[assumption_4_42]) ).
cnf(c5,plain,
( smaller(capability(X0,X1),capability(X0,X2))
| ~ greater('internal$ufriction'(X0,X1),'internal$ufriction'(X0,X2))
| ~ 'smaller$uor$uequal'('stock$uof$uknowledge'(X0,X1),'stock$uof$uknowledge'(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_5_46]) ).
cnf(c8,plain,
( position(X0,X1) = position(X0,X2)
| 'external$uties'(X0,X1) != 'external$uties'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_6_49]) ).
cnf(c9,plain,
( 'stock$uof$uknowledge'(X0,X1) = 'stock$uof$uknowledge'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_10_50]) ).
cnf(c10,plain,
( 'external$uties'(X0,X1) = 'external$uties'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_11_51]) ).
cnf(c11,plain,
( greater('internal$ufriction'(X0,X1),'internal$ufriction'(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_12_52]) ).
cnf(c12,plain,
organization(sk1),
inference(clausification,[status(esa)],[theorem_3_53]) ).
cnf(c13,plain,
~ 'has$uendowment'(sk1),
inference(clausification,[status(esa)],[theorem_3_54]) ).
cnf(c14,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(clausification,[status(esa)],[theorem_3_55]) ).
cnf(c15,plain,
~ greater('hazard$uof$umortality'(sk1,sk3),'hazard$uof$umortality'(sk1,sk2)),
inference(clausification,[status(esa)],[theorem_3_56]) ).
cnf(c18,plain,
( 'smaller$uor$uequal'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_3]) ).
cnf(c21,plain,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[definition_greater_or_equal_6]) ).
cnf(c22,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_7]) ).
cnf(d0,plain,
'greater$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c21]) ).
cnf(d1,plain,
( greater('internal$ufriction'(sk1,sk3),'internal$ufriction'(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c11,c14]) ).
cnf(d2,plain,
greater('internal$ufriction'(sk1,sk3),'internal$ufriction'(sk1,sk2)),
inference(resolution,[status(thm)],[c12,d1]) ).
cnf(d3,plain,
'smaller$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c18]) ).
cnf(d4,plain,
'stock$uof$uknowledge'(sk1,X0) = 'stock$uof$uknowledge'(sk1,X1),
inference(resolution,[status(thm)],[c9,c12]) ).
cnf(d5,plain,
( smaller(capability(sk1,X0),capability(sk1,X2))
| ~ greater('internal$ufriction'(sk1,X0),'internal$ufriction'(sk1,X2))
| ~ organization(sk1)
| ~ 'smaller$uor$uequal'('stock$uof$uknowledge'(sk1,X1),'stock$uof$uknowledge'(sk1,X2)) ),
inference(superposition,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
( ~ 'smaller$uor$uequal'('stock$uof$uknowledge'(sk1,X2),'stock$uof$uknowledge'(sk1,X1))
| smaller(capability(sk1,X0),capability(sk1,X1))
| ~ greater('internal$ufriction'(sk1,X0),'internal$ufriction'(sk1,X1)) ),
inference(resolution,[status(thm)],[c12,d5]) ).
cnf(d7,plain,
( smaller(capability(sk1,X0),capability(sk1,X1))
| ~ greater('internal$ufriction'(sk1,X0),'internal$ufriction'(sk1,X1)) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
greater(capability(sk1,sk2),capability(sk1,sk3)),
inference(resolution,[status(thm)],[d8,c22]) ).
cnf(d10,plain,
( smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3))
| ~ 'greater$uor$uequal'(position(sk1,sk2),position(sk1,sk3))
| ~ organization(sk1)
| 'has$uimmunity'(sk1,sk2)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[d9,c1]) ).
cnf(d11,plain,
( smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3))
| ~ 'greater$uor$uequal'(position(sk1,sk2),position(sk1,sk3))
| 'has$uimmunity'(sk1,sk2)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[c12,d10]) ).
cnf(d12,plain,
'external$uties'(sk1,X0) = 'external$uties'(sk1,X1),
inference(resolution,[status(thm)],[c10,c12]) ).
cnf(d13,plain,
( ~ organization(sk1)
| position(sk1,X0) = position(sk1,X2)
| 'external$uties'(sk1,X1) != 'external$uties'(sk1,X2) ),
inference(superposition,[status(thm)],[d12,c8]) ).
cnf(d14,plain,
( 'external$uties'(sk1,X2) != 'external$uties'(sk1,X1)
| position(sk1,X0) = position(sk1,X1) ),
inference(resolution,[status(thm)],[c12,d13]) ).
cnf(d15,plain,
position(sk1,X0) = position(sk1,X1),
inference(resolution,[status(thm)],[d12,d14]) ).
cnf(d16,plain,
( smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3))
| 'has$uimmunity'(sk1,sk2)
| 'has$uimmunity'(sk1,sk3)
| ~ 'greater$uor$uequal'(position(sk1,X0),position(sk1,sk3)) ),
inference(superposition,[status(thm)],[d15,d11]) ).
cnf(d17,plain,
( smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3))
| 'has$uimmunity'(sk1,sk2)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[d16,d0]) ).
cnf(d18,plain,
( greater('hazard$uof$umortality'(sk1,sk3),'hazard$uof$umortality'(sk1,sk2))
| 'has$uimmunity'(sk1,sk2)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[d17,c22]) ).
cnf(d19,plain,
( 'has$uimmunity'(sk1,sk2)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[c15,d18]) ).
cnf(d20,plain,
( 'has$uendowment'(sk1)
| ~ organization(sk1)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[d19,c0]) ).
cnf(d21,plain,
( 'has$uendowment'(sk1)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[c12,d20]) ).
cnf(d22,plain,
'has$uimmunity'(sk1,sk3),
inference(resolution,[status(thm)],[c13,d21]) ).
cnf(d23,plain,
( 'has$uendowment'(sk1)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[d22,c0]) ).
cnf(d24,plain,
'has$uendowment'(sk1),
inference(resolution,[status(thm)],[c12,d23]) ).
cnf(d25,plain,
$false,
inference(resolution,[status(thm)],[c13,d24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT050-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.52 % Computer : n011.cluster.edu
% 0.10/0.52 % Model : x86_64 x86_64
% 0.10/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.52 % Memory : 8046.5625MB
% 0.10/0.52 % OS : Linux 6.8.0-71-generic
% 0.10/0.52 % CPULimit : 300
% 0.10/0.52 % WCLimit : 300
% 0.10/0.52 % DateTime : Sat Sep 26 00:09:44 UTC 2026
% 0.10/0.52 % CPUTime :
% 0.10/0.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.76/2.71 % SZS status Unsatisfiable for theBenchmark.p
% 4.76/2.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------