%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT054-1 : 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 08:01:23 AM UTC 2026
% Result : Unsatisfiable 16.64s 2.55s
% Output : CNFRefutation 16.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 17
% Syntax : Number of clauses : 79 ( 21 unt; 26 nHn; 74 RR)
% Number of literals : 195 ( 29 equ; 95 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 66 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_1_38,axiom,
( ~ 'has$uimmunity'(X0,X1)
| 'has$uendowment'(X0)
| ~ organization(X0) ) ).
cnf(definition_2_42,axiom,
( ~ 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ) ).
cnf(definition_2_44,axiom,
( dissimilar(X0,X1,X2)
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_13_47,axiom,
( 'is$ualigned'(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_14_48,axiom,
( greater(capability(X0,X1),capability(X0,X2))
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_15_49,axiom,
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_15_50,axiom,
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_16_51,axiom,
( greater('hazard$uof$umortality'(X0,X1),'hazard$uof$umortality'(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| 'has$uimmunity'(X0,X2)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(theorem_5_52,negated_conjecture,
organization(sk1) ).
cnf(theorem_5_53,negated_conjecture,
~ 'has$uendowment'(sk1) ).
cnf(theorem_5_54,negated_conjecture,
age(sk1,sk2) = zero ).
cnf(theorem_5_55,negated_conjecture,
'smaller$uor$uequal'(age(sk1,sk3),sigma) ).
cnf(theorem_5_56,negated_conjecture,
greater(age(sk1,sk4),sigma) ).
cnf(theorem_5_58,negated_conjecture,
~ greater('hazard$uof$umortality'(sk1,sk4),'hazard$uof$umortality'(sk1,sk3)) ).
cnf(definition_smaller_or_equal_1,axiom,
( X0 = X1
| smaller(X0,X1)
| ~ 'smaller$uor$uequal'(X0,X1) ) ).
cnf(definition_smaller_7,axiom,
( greater(X1,X0)
| ~ smaller(X0,X1) ) ).
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ) ).
cnf(c0,plain,
( ~ 'has$uimmunity'(X0,X1)
| 'has$uendowment'(X0)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_1_38]) ).
cnf(c4,plain,
( ~ 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(clausification,[status(esa)],[definition_2_42]) ).
cnf(c6,plain,
( dissimilar(X0,X1,X2)
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[definition_2_44]) ).
cnf(c9,plain,
( 'is$ualigned'(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_13_47]) ).
cnf(c10,plain,
( greater(capability(X0,X1),capability(X0,X2))
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_14_48]) ).
cnf(c11,plain,
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_15_49]) ).
cnf(c12,plain,
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_15_50]) ).
cnf(c13,plain,
( 'has$uimmunity'(X0,X1)
| 'has$uimmunity'(X0,X2)
| greater('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1))
| ~ organization(X0)
| ~ greater(capability(X0,X1),capability(X0,X2)) ),
inference(clausification,[status(esa)],[assumption_16_51]) ).
cnf(c14,plain,
organization(sk1),
inference(clausification,[status(esa)],[theorem_5_52]) ).
cnf(c15,plain,
~ 'has$uendowment'(sk1),
inference(clausification,[status(esa)],[theorem_5_53]) ).
cnf(c16,plain,
age(sk1,sk2) = zero,
inference(clausification,[status(esa)],[theorem_5_54]) ).
cnf(c17,plain,
'smaller$uor$uequal'(age(sk1,sk3),sigma),
inference(clausification,[status(esa)],[theorem_5_55]) ).
cnf(c18,plain,
greater(age(sk1,sk4),sigma),
inference(clausification,[status(esa)],[theorem_5_56]) ).
cnf(c20,plain,
~ greater('hazard$uof$umortality'(sk1,sk4),'hazard$uof$umortality'(sk1,sk3)),
inference(clausification,[status(esa)],[theorem_5_58]) ).
cnf(c21,plain,
( X0 = X1
| smaller(X0,X1)
| ~ 'smaller$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_1]) ).
cnf(c27,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_7]) ).
cnf(c29,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[meaning_postulate_greater_strict_9]) ).
cnf(d0,plain,
( ~ 'is$ualigned'(X0,X2)
| 'is$ualigned'(X0,X1)
| ~ organization(X0)
| greater('hazard$uof$umortality'(X0,X1),'hazard$uof$umortality'(X0,X2))
| ~ organization(X0)
| 'has$uimmunity'(X0,X2)
| 'has$uimmunity'(X0,X1) ),
inference(resolution,[status(thm)],[c13,c10]) ).
cnf(d1,plain,
( 'is$ualigned'(sk1,sk4)
| ~ 'is$ualigned'(sk1,sk3)
| ~ organization(sk1)
| 'has$uimmunity'(sk1,sk4)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[d0,c20]) ).
cnf(d2,plain,
( 'is$ualigned'(sk1,sk4)
| ~ 'is$ualigned'(sk1,sk3)
| 'has$uimmunity'(sk1,sk4)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[c14,d1]) ).
cnf(d3,plain,
( dissimilar(sk1,sk2,X0)
| ~ greater(age(sk1,X0),sigma)
| ~ organization(sk1)
| zero != zero ),
inference(superposition,[status(thm)],[c16,c11]) ).
cnf(d4,plain,
( dissimilar(sk1,sk2,X0)
| ~ greater(age(sk1,X0),sigma)
| zero != zero ),
inference(resolution,[status(thm)],[c14,d3]) ).
cnf(d5,plain,
( dissimilar(sk1,sk2,X0)
| ~ greater(age(sk1,X0),sigma) ),
inference(equality_resolution,[status(thm)],[d4]) ).
cnf(d6,plain,
dissimilar(sk1,sk2,sk4),
inference(resolution,[status(thm)],[d5,c18]) ).
cnf(d7,plain,
( ~ 'is$ualigned'(sk1,sk4)
| ~ 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
( 'is$ualigned'(sk1,sk2)
| ~ organization(sk1)
| zero != zero ),
inference(superposition,[status(thm)],[c16,c9]) ).
cnf(d9,plain,
( 'is$ualigned'(sk1,sk2)
| zero != zero ),
inference(resolution,[status(thm)],[c14,d8]) ).
cnf(d10,plain,
'is$ualigned'(sk1,sk2),
inference(equality_resolution,[status(thm)],[d9]) ).
cnf(d11,plain,
~ 'is$ualigned'(sk1,sk4),
inference(resolution,[status(thm)],[d10,d7]) ).
cnf(d12,plain,
( ~ 'is$ualigned'(sk1,sk3)
| 'has$uimmunity'(sk1,sk4)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[d11,d2]) ).
cnf(d13,plain,
( ~ dissimilar(sk1,sk2,X0)
| greater(age(sk1,X0),sigma)
| ~ organization(sk1)
| zero != zero ),
inference(superposition,[status(thm)],[c16,c12]) ).
cnf(d14,plain,
( ~ dissimilar(sk1,sk2,X0)
| greater(age(sk1,X0),sigma)
| zero != zero ),
inference(resolution,[status(thm)],[c14,d13]) ).
cnf(d15,plain,
( ~ dissimilar(sk1,sk2,X0)
| greater(age(sk1,X0),sigma) ),
inference(equality_resolution,[status(thm)],[d14]) ).
cnf(d16,plain,
( smaller(age(sk1,sk3),sigma)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[c21,c17]) ).
cnf(d17,plain,
( greater(sigma,age(sk1,sk3))
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[d16,c27]) ).
cnf(d18,plain,
( ~ greater(sigma,age(sk1,X0))
| ~ dissimilar(sk1,sk2,X0) ),
inference(resolution,[status(thm)],[d15,c29]) ).
cnf(d19,plain,
( age(sk1,sk3) = sigma
| ~ dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( ~ 'is$ualigned'(sk1,sk2)
| 'is$ualigned'(sk1,sk3)
| ~ organization(sk1)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[d19,c6]) ).
cnf(d21,plain,
( 'is$ualigned'(sk1,sk3)
| ~ 'is$ualigned'(sk1,sk2)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[c14,d20]) ).
cnf(d22,plain,
( 'is$ualigned'(sk1,sk3)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[d10,d21]) ).
cnf(d23,plain,
( 'has$uimmunity'(sk1,sk4)
| 'has$uimmunity'(sk1,sk3)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[d22,d12]) ).
cnf(d24,plain,
( 'has$uendowment'(sk1)
| ~ organization(sk1)
| 'has$uimmunity'(sk1,sk3)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[d23,c0]) ).
cnf(d25,plain,
( 'has$uendowment'(sk1)
| 'has$uimmunity'(sk1,sk3)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[c14,d24]) ).
cnf(d26,plain,
( 'has$uimmunity'(sk1,sk3)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[c15,d25]) ).
cnf(d27,plain,
( 'has$uendowment'(sk1)
| ~ organization(sk1)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[d26,c0]) ).
cnf(d28,plain,
( 'has$uendowment'(sk1)
| age(sk1,sk3) = sigma ),
inference(resolution,[status(thm)],[c14,d27]) ).
cnf(d29,plain,
age(sk1,sk3) = sigma,
inference(resolution,[status(thm)],[c15,d28]) ).
cnf(d30,plain,
( ~ dissimilar(sk1,sk2,sk3)
| greater(sigma,sigma) ),
inference(superposition,[status(thm)],[d29,d15]) ).
cnf(d31,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ greater(sigma,sigma) ),
inference(superposition,[status(thm)],[d29,d18]) ).
cnf(d32,plain,
( dissimilar(sk1,sk2,sk3)
| ~ greater(sigma,sigma) ),
inference(superposition,[status(thm)],[d29,d5]) ).
cnf(d33,plain,
( ~ greater(sigma,sigma)
| ~ greater(sigma,sigma) ),
inference(resolution,[status(thm)],[d32,d31]) ).
cnf(d34,plain,
~ dissimilar(sk1,sk2,sk3),
inference(resolution,[status(thm)],[d33,d30]) ).
cnf(d35,plain,
( ~ 'is$ualigned'(sk1,sk2)
| 'is$ualigned'(sk1,sk3)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[d34,c6]) ).
cnf(d36,plain,
( 'is$ualigned'(sk1,sk3)
| ~ 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[c14,d35]) ).
cnf(d37,plain,
'is$ualigned'(sk1,sk3),
inference(resolution,[status(thm)],[d10,d36]) ).
cnf(d38,plain,
( 'has$uimmunity'(sk1,sk4)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[d37,d12]) ).
cnf(d39,plain,
( 'has$uendowment'(sk1)
| ~ organization(sk1)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[d38,c0]) ).
cnf(d40,plain,
( 'has$uendowment'(sk1)
| 'has$uimmunity'(sk1,sk3) ),
inference(resolution,[status(thm)],[c14,d39]) ).
cnf(d41,plain,
'has$uimmunity'(sk1,sk3),
inference(resolution,[status(thm)],[c15,d40]) ).
cnf(d42,plain,
( 'has$uendowment'(sk1)
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[d41,c0]) ).
cnf(d43,plain,
'has$uendowment'(sk1),
inference(resolution,[status(thm)],[c14,d42]) ).
cnf(d44,plain,
$false,
inference(resolution,[status(thm)],[c15,d43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT054-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % 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 00:09:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.64/2.55 % SZS status Unsatisfiable for theBenchmark.p
% 16.64/2.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------