%------------------------------------------------------------------------------
% 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 : n006.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 : Unsatisfiable 12.65s 2.34s
% Output : CNFRefutation 12.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of clauses : 44 ( 22 unt; 6 nHn; 42 RR)
% Number of literals : 93 ( 17 equ; 44 neg)
% Maximal clause size : 6 ( 2 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 : 36 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_4_38,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_42,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_45,axiom,
( position(X0,X1) = position(X0,X2)
| 'external$uties'(X0,X1) != 'external$uties'(X0,X2)
| ~ organization(X0) ) ).
cnf(lemma_2_46,negated_conjecture,
organization(sk1) ).
cnf(lemma_2_47,negated_conjecture,
~ 'has$uimmunity'(sk1,sk2) ).
cnf(lemma_2_48,negated_conjecture,
~ 'has$uimmunity'(sk1,sk3) ).
cnf(lemma_2_49,negated_conjecture,
'stock$uof$uknowledge'(sk1,sk3) = 'stock$uof$uknowledge'(sk1,sk2) ).
cnf(lemma_2_50,negated_conjecture,
greater('internal$ufriction'(sk1,sk3),'internal$ufriction'(sk1,sk2)) ).
cnf(lemma_2_51,negated_conjecture,
'external$uties'(sk1,sk2) = 'external$uties'(sk1,sk3) ).
cnf(lemma_2_52,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,
( ~ greater(capability(X0,X2),capability(X0,X1))
| ~ 'greater$uor$uequal'(position(X0,X2),position(X0,X1))
| ~ organization(X0)
| smaller('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1))
| 'has$uimmunity'(X0,X2)
| 'has$uimmunity'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_4_38]) ).
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_42]) ).
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_45]) ).
cnf(c8,plain,
organization(sk1),
inference(clausification,[status(esa)],[lemma_2_46]) ).
cnf(c9,plain,
~ 'has$uimmunity'(sk1,sk2),
inference(clausification,[status(esa)],[lemma_2_47]) ).
cnf(c10,plain,
~ 'has$uimmunity'(sk1,sk3),
inference(clausification,[status(esa)],[lemma_2_48]) ).
cnf(c11,plain,
'stock$uof$uknowledge'(sk1,sk3) = 'stock$uof$uknowledge'(sk1,sk2),
inference(clausification,[status(esa)],[lemma_2_49]) ).
cnf(c12,plain,
greater('internal$ufriction'(sk1,sk3),'internal$ufriction'(sk1,sk2)),
inference(clausification,[status(esa)],[lemma_2_50]) ).
cnf(c13,plain,
'external$uties'(sk1,sk2) = 'external$uties'(sk1,sk3),
inference(clausification,[status(esa)],[lemma_2_51]) ).
cnf(c14,plain,
~ greater('hazard$uof$umortality'(sk1,sk3),'hazard$uof$umortality'(sk1,sk2)),
inference(clausification,[status(esa)],[lemma_2_52]) ).
cnf(c17,plain,
( 'smaller$uor$uequal'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_3]) ).
cnf(c20,plain,
( 'greater$uor$uequal'(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[definition_greater_or_equal_6]) ).
cnf(c21,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_7]) ).
cnf(d0,plain,
( ~ organization(sk1)
| position(sk1,X0) = position(sk1,sk3)
| 'external$uties'(sk1,X0) != 'external$uties'(sk1,sk2) ),
inference(superposition,[status(thm)],[c13,c7]) ).
cnf(d1,plain,
( 'external$uties'(sk1,X0) != 'external$uties'(sk1,sk2)
| position(sk1,X0) = position(sk1,sk3) ),
inference(resolution,[status(thm)],[c8,d0]) ).
cnf(d2,plain,
position(sk1,sk2) = position(sk1,sk3),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
'smaller$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c17]) ).
cnf(d4,plain,
( smaller(capability(sk1,sk3),capability(sk1,X0))
| ~ greater('internal$ufriction'(sk1,sk3),'internal$ufriction'(sk1,X0))
| ~ organization(sk1)
| ~ 'smaller$uor$uequal'('stock$uof$uknowledge'(sk1,sk2),'stock$uof$uknowledge'(sk1,X0)) ),
inference(superposition,[status(thm)],[c11,c4]) ).
cnf(d5,plain,
( ~ 'smaller$uor$uequal'('stock$uof$uknowledge'(sk1,sk2),'stock$uof$uknowledge'(sk1,X0))
| smaller(capability(sk1,sk3),capability(sk1,X0))
| ~ greater('internal$ufriction'(sk1,sk3),'internal$ufriction'(sk1,X0)) ),
inference(resolution,[status(thm)],[c8,d4]) ).
cnf(d6,plain,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ greater('internal$ufriction'(sk1,sk3),'internal$ufriction'(sk1,sk2)) ),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolution,[status(thm)],[c12,d6]) ).
cnf(d8,plain,
greater(capability(sk1,sk2),capability(sk1,sk3)),
inference(resolution,[status(thm)],[d7,c21]) ).
cnf(d9,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,sk2),position(sk1,sk3))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[d8,c0]) ).
cnf(d10,plain,
( smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3))
| 'has$uimmunity'(sk1,sk3)
| 'has$uimmunity'(sk1,sk2)
| ~ 'greater$uor$uequal'(position(sk1,sk2),position(sk1,sk2))
| ~ organization(sk1) ),
inference(demodulation,[status(thm)],[d9,d2]) ).
cnf(d11,plain,
( smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3))
| 'has$uimmunity'(sk1,sk3)
| 'has$uimmunity'(sk1,sk2)
| ~ 'greater$uor$uequal'(position(sk1,sk2),position(sk1,sk2)) ),
inference(resolution,[status(thm)],[c8,d10]) ).
cnf(d12,plain,
( smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3))
| 'has$uimmunity'(sk1,sk3)
| ~ 'greater$uor$uequal'(position(sk1,sk2),position(sk1,sk2)) ),
inference(resolution,[status(thm)],[c9,d11]) ).
cnf(d13,plain,
( smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3))
| ~ 'greater$uor$uequal'(position(sk1,sk2),position(sk1,sk2)) ),
inference(resolution,[status(thm)],[c10,d12]) ).
cnf(d14,plain,
'greater$uor$uequal'(X0,X0),
inference(equality_resolution,[status(thm)],[c20]) ).
cnf(d15,plain,
smaller('hazard$uof$umortality'(sk1,sk2),'hazard$uof$umortality'(sk1,sk3)),
inference(resolution,[status(thm)],[d14,d13]) ).
cnf(d16,plain,
greater('hazard$uof$umortality'(sk1,sk3),'hazard$uof$umortality'(sk1,sk2)),
inference(resolution,[status(thm)],[d15,c21]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[c14,d16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT043-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 00:08:10 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.65/2.34 % SZS status Unsatisfiable for theBenchmark.p
% 12.65/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------