%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT057-1 : 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 : n003.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 08:01:24 AM UTC 2026
% Result : Unsatisfiable 11.97s 3.16s
% Output : CNFRefutation 11.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of clauses : 44 ( 21 unt; 2 nHn; 42 RR)
% Number of literals : 82 ( 10 equ; 44 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_1_32,axiom,
( 'has$uimmunity'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),eta)
| ~ 'has$uendowment'(X0) ) ).
cnf(definition_1_33,axiom,
( ~ 'has$uimmunity'(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ 'has$uendowment'(X0) ) ).
cnf(assumption_2_38,axiom,
( 'hazard$uof$umortality'(X0,X1) = 'hazard$uof$umortality'(X0,X2)
| ~ 'has$uimmunity'(X0,X2)
| ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_3_39,axiom,
( greater('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1))
| 'has$uimmunity'(X0,X2)
| ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(theorem_6_40,negated_conjecture,
organization(sk2) ).
cnf(theorem_6_41,negated_conjecture,
'has$uendowment'(sk2) ).
cnf(theorem_6_42,negated_conjecture,
age(sk2,sk3) = zero ).
cnf(theorem_6_43,negated_conjecture,
'smaller$uor$uequal'(age(sk2,sk4),eta) ).
cnf(theorem_6_44,negated_conjecture,
greater(age(sk2,sk5),eta) ).
cnf(theorem_6_45,negated_conjecture,
greater(eta,zero) ).
cnf(theorem_6_46,negated_conjecture,
( 'hazard$uof$umortality'(sk2,sk4) != 'hazard$uof$umortality'(sk2,sk3)
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4)) ) ).
cnf(definition_smaller_or_equal_2,axiom,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ) ).
cnf(definition_smaller_8,axiom,
( smaller(X1,X0)
| ~ greater(X0,X1) ) ).
cnf(c1,plain,
( 'has$uimmunity'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),eta)
| ~ 'has$uendowment'(X0) ),
inference(clausification,[status(esa)],[definition_1_32]) ).
cnf(c2,plain,
( ~ 'has$uimmunity'(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ 'has$uendowment'(X0) ),
inference(clausification,[status(esa)],[definition_1_33]) ).
cnf(c7,plain,
( 'hazard$uof$umortality'(X0,X1) = 'hazard$uof$umortality'(X0,X2)
| ~ 'has$uimmunity'(X0,X2)
| ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_2_38]) ).
cnf(c8,plain,
( greater('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1))
| 'has$uimmunity'(X0,X2)
| ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_3_39]) ).
cnf(c9,plain,
organization(sk2),
inference(clausification,[status(esa)],[theorem_6_40]) ).
cnf(c10,plain,
'has$uendowment'(sk2),
inference(clausification,[status(esa)],[theorem_6_41]) ).
cnf(c11,plain,
age(sk2,sk3) = zero,
inference(clausification,[status(esa)],[theorem_6_42]) ).
cnf(c12,plain,
'smaller$uor$uequal'(age(sk2,sk4),eta),
inference(clausification,[status(esa)],[theorem_6_43]) ).
cnf(c13,plain,
greater(age(sk2,sk5),eta),
inference(clausification,[status(esa)],[theorem_6_44]) ).
cnf(c14,plain,
greater(eta,zero),
inference(clausification,[status(esa)],[theorem_6_45]) ).
cnf(c15,plain,
( 'hazard$uof$umortality'(sk2,sk4) != 'hazard$uof$umortality'(sk2,sk3)
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4)) ),
inference(clausification,[status(esa)],[theorem_6_46]) ).
cnf(c17,plain,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_2]) ).
cnf(c23,plain,
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_8]) ).
cnf(d0,plain,
( 'has$uimmunity'(sk2,sk3)
| ~ 'has$uendowment'(sk2)
| ~ 'smaller$uor$uequal'(zero,eta) ),
inference(superposition,[status(thm)],[c11,c1]) ).
cnf(d1,plain,
( 'has$uimmunity'(sk2,sk3)
| ~ 'smaller$uor$uequal'(zero,eta) ),
inference(resolution,[status(thm)],[c10,d0]) ).
cnf(d2,plain,
smaller(zero,eta),
inference(resolution,[status(thm)],[c23,c14]) ).
cnf(d3,plain,
'smaller$uor$uequal'(zero,eta),
inference(resolution,[status(thm)],[d2,c17]) ).
cnf(d4,plain,
'has$uimmunity'(sk2,sk3),
inference(resolution,[status(thm)],[d3,d1]) ).
cnf(d5,plain,
( 'has$uimmunity'(sk2,sk4)
| ~ 'has$uendowment'(sk2) ),
inference(resolution,[status(thm)],[c12,c1]) ).
cnf(d6,plain,
'has$uimmunity'(sk2,sk4),
inference(resolution,[status(thm)],[c10,d5]) ).
cnf(d7,plain,
( ~ 'has$uimmunity'(sk2,X0)
| ~ organization(sk2)
| 'hazard$uof$umortality'(sk2,X0) = 'hazard$uof$umortality'(sk2,sk4) ),
inference(resolution,[status(thm)],[d6,c7]) ).
cnf(d8,plain,
( ~ 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = 'hazard$uof$umortality'(sk2,sk4) ),
inference(resolution,[status(thm)],[c9,d7]) ).
cnf(d9,plain,
'hazard$uof$umortality'(sk2,sk3) = 'hazard$uof$umortality'(sk2,sk4),
inference(resolution,[status(thm)],[d8,d4]) ).
cnf(d10,plain,
( ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4))
| 'hazard$uof$umortality'(sk2,sk4) != 'hazard$uof$umortality'(sk2,sk4) ),
inference(demodulation,[status(thm)],[c15,d9]) ).
cnf(d11,plain,
~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4)),
inference(equality_resolution,[status(thm)],[d10]) ).
cnf(d12,plain,
( ~ 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk5)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[d11,c8]) ).
cnf(d13,plain,
( 'has$uimmunity'(sk2,sk5)
| ~ 'has$uimmunity'(sk2,sk4) ),
inference(resolution,[status(thm)],[c9,d12]) ).
cnf(d14,plain,
'has$uimmunity'(sk2,sk5),
inference(resolution,[status(thm)],[d6,d13]) ).
cnf(d15,plain,
( ~ 'has$uimmunity'(sk2,sk5)
| ~ 'has$uendowment'(sk2) ),
inference(resolution,[status(thm)],[c13,c2]) ).
cnf(d16,plain,
~ 'has$uimmunity'(sk2,sk5),
inference(resolution,[status(thm)],[c10,d15]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT057-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n003.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 00:11:54 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.97/3.16 % SZS status Unsatisfiable for theBenchmark.p
% 11.97/3.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------