%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT065-1 : 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 : n012.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 08:01:26 AM UTC 2026
% Result : Unsatisfiable 13.97s 27.34s
% Output : CNFRefutation 13.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of clauses : 85 ( 37 unt; 11 nHn; 82 RR)
% Number of literals : 173 ( 28 equ; 79 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_1_41,axiom,
( 'has$uimmunity'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),eta)
| ~ 'has$uendowment'(X0) ) ).
cnf(definition_1_42,axiom,
( ~ 'has$uimmunity'(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ 'has$uendowment'(X0) ) ).
cnf(definition_2_49,axiom,
( ~ 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ) ).
cnf(assumption_13_54,axiom,
( 'is$ualigned'(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_15_55,axiom,
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_17_57,axiom,
( 'hazard$uof$umortality'(X0,X1) = 'very$ulow'
| ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_17_59,axiom,
( 'hazard$uof$umortality'(X0,X1) = mod1
| ~ 'positional$uadvantage'(X0,X1)
| 'is$ualigned'(X0,X1)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_17_61,axiom,
( 'hazard$uof$umortality'(X0,X1) = high
| 'positional$uadvantage'(X0,X1)
| 'is$ualigned'(X0,X1)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_18a_62,axiom,
greater(high,mod1) ).
cnf(assumption_18b_63,axiom,
greater(mod1,low) ).
cnf(assumption_18c_64,axiom,
greater(low,'very$ulow') ).
cnf(theorem_11_67,negated_conjecture,
organization(sk2) ).
cnf(theorem_11_69,negated_conjecture,
'has$uendowment'(sk2) ).
cnf(theorem_11_70,negated_conjecture,
age(sk2,sk3) = zero ).
cnf(theorem_11_73,negated_conjecture,
greater(eta,zero) ).
cnf(theorem_11_76,negated_conjecture,
'smaller$uor$uequal'(age(sk2,sk4),eta) ).
cnf(theorem_11_77,negated_conjecture,
greater(age(sk2,sk5),sigma) ).
cnf(theorem_11_79,negated_conjecture,
greater(age(sk2,sk5),eta) ).
cnf(theorem_11_80,negated_conjecture,
( 'hazard$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$uequal'(X0,X1)
| ~ smaller(X0,X1) ) ).
cnf(definition_smaller_8,axiom,
( smaller(X1,X0)
| ~ greater(X0,X1) ) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ) ).
cnf(c1,plain,
( 'has$uimmunity'(X0,X1)
| ~ 'has$uendowment'(X0)
| ~ 'smaller$uor$uequal'(age(X0,X1),eta) ),
inference(clausification,[status(esa)],[definition_1_41]) ).
cnf(c2,plain,
( ~ 'has$uimmunity'(X0,X1)
| ~ 'has$uendowment'(X0)
| ~ greater(age(X0,X1),eta) ),
inference(clausification,[status(esa)],[definition_1_42]) ).
cnf(c8,plain,
( ~ 'is$ualigned'(X0,X2)
| ~ dissimilar(X0,X1,X2)
| ~ 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[definition_2_49]) ).
cnf(c11,plain,
( 'is$ualigned'(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(clausification,[status(esa)],[assumption_13_54]) ).
cnf(c12,plain,
( dissimilar(X0,X2,X1)
| age(X0,X2) != zero
| ~ organization(X0)
| ~ greater(age(X0,X1),sigma) ),
inference(clausification,[status(esa)],[assumption_15_55]) ).
cnf(c14,plain,
( 'hazard$uof$umortality'(X0,X1) = 'very$ulow'
| ~ organization(X0)
| ~ 'has$uimmunity'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_17_57]) ).
cnf(c16,plain,
( 'has$uimmunity'(X0,X1)
| ~ 'positional$uadvantage'(X0,X1)
| 'is$ualigned'(X0,X1)
| ~ organization(X0)
| 'hazard$uof$umortality'(X0,X1) = mod1 ),
inference(clausification,[status(esa)],[assumption_17_59]) ).
cnf(c18,plain,
( 'hazard$uof$umortality'(X0,X1) = high
| 'is$ualigned'(X0,X1)
| ~ organization(X0)
| 'positional$uadvantage'(X0,X1)
| 'has$uimmunity'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_17_61]) ).
cnf(c19,plain,
greater(high,mod1),
inference(clausification,[status(esa)],[assumption_18a_62]) ).
cnf(c20,plain,
greater(mod1,low),
inference(clausification,[status(esa)],[assumption_18b_63]) ).
cnf(c21,plain,
greater(low,'very$ulow'),
inference(clausification,[status(esa)],[assumption_18c_64]) ).
cnf(c24,plain,
organization(sk2),
inference(clausification,[status(esa)],[theorem_11_67]) ).
cnf(c26,plain,
'has$uendowment'(sk2),
inference(clausification,[status(esa)],[theorem_11_69]) ).
cnf(c27,plain,
age(sk2,sk3) = zero,
inference(clausification,[status(esa)],[theorem_11_70]) ).
cnf(c30,plain,
greater(eta,zero),
inference(clausification,[status(esa)],[theorem_11_73]) ).
cnf(c33,plain,
'smaller$uor$uequal'(age(sk2,sk4),eta),
inference(clausification,[status(esa)],[theorem_11_76]) ).
cnf(c34,plain,
greater(age(sk2,sk5),sigma),
inference(clausification,[status(esa)],[theorem_11_77]) ).
cnf(c36,plain,
greater(age(sk2,sk5),eta),
inference(clausification,[status(esa)],[theorem_11_79]) ).
cnf(c37,plain,
( 'hazard$uof$umortality'(sk2,sk3) != 'hazard$uof$umortality'(sk2,sk4)
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4)) ),
inference(clausification,[status(esa)],[theorem_11_80]) ).
cnf(c39,plain,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_2]) ).
cnf(c45,plain,
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_8]) ).
cnf(c47,plain,
( greater(X2,X1)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[meaning_postulate_greater_transitive_10]) ).
cnf(d0,plain,
( ~ greater(age(sk2,X0),eta)
| ~ 'has$uimmunity'(sk2,X0) ),
inference(resolution,[status(thm)],[c2,c26]) ).
cnf(d1,plain,
( ~ 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = 'very$ulow' ),
inference(resolution,[status(thm)],[c14,c24]) ).
cnf(d2,plain,
( 'has$uimmunity'(sk2,X0)
| ~ 'smaller$uor$uequal'(age(sk2,X0),eta) ),
inference(resolution,[status(thm)],[c1,c26]) ).
cnf(d3,plain,
( 'has$uimmunity'(sk2,sk3)
| ~ 'smaller$uor$uequal'(zero,eta) ),
inference(superposition,[status(thm)],[c27,d2]) ).
cnf(d4,plain,
smaller(zero,eta),
inference(resolution,[status(thm)],[c45,c30]) ).
cnf(d5,plain,
'smaller$uor$uequal'(zero,eta),
inference(resolution,[status(thm)],[d4,c39]) ).
cnf(d6,plain,
'has$uimmunity'(sk2,sk3),
inference(resolution,[status(thm)],[d5,d3]) ).
cnf(d7,plain,
'hazard$uof$umortality'(sk2,sk3) = 'very$ulow',
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
'has$uimmunity'(sk2,sk4),
inference(resolution,[status(thm)],[d2,c33]) ).
cnf(d9,plain,
'hazard$uof$umortality'(sk2,sk4) = 'very$ulow',
inference(resolution,[status(thm)],[d8,d1]) ).
cnf(d10,plain,
( ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4))
| 'hazard$uof$umortality'(sk2,sk3) != 'very$ulow' ),
inference(demodulation,[status(thm)],[c37,d9]) ).
cnf(d11,plain,
( ~ greater('hazard$uof$umortality'(sk2,sk5),'very$ulow')
| 'hazard$uof$umortality'(sk2,sk3) != 'very$ulow' ),
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( ~ greater('hazard$uof$umortality'(sk2,sk5),'very$ulow')
| 'very$ulow' != 'very$ulow' ),
inference(demodulation,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
~ greater('hazard$uof$umortality'(sk2,sk5),'very$ulow'),
inference(equality_resolution,[status(thm)],[d12]) ).
cnf(d14,plain,
( ~ 'positional$uadvantage'(sk2,X0)
| 'is$ualigned'(sk2,X0)
| 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = mod1 ),
inference(resolution,[status(thm)],[c16,c24]) ).
cnf(d15,plain,
( 'positional$uadvantage'(sk2,X0)
| 'is$ualigned'(sk2,X0)
| 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = high ),
inference(resolution,[status(thm)],[c18,c24]) ).
cnf(d16,plain,
( 'positional$uadvantage'(sk2,sk5)
| 'is$ualigned'(sk2,sk5)
| 'has$uimmunity'(sk2,sk5)
| ~ greater(high,'very$ulow') ),
inference(superposition,[status(thm)],[d15,d13]) ).
cnf(d17,plain,
( ~ greater(X0,low)
| greater(X0,'very$ulow') ),
inference(resolution,[status(thm)],[c47,c21]) ).
cnf(d18,plain,
( ~ greater(X0,mod1)
| greater(X0,low) ),
inference(resolution,[status(thm)],[c47,c20]) ).
cnf(d19,plain,
greater(high,low),
inference(resolution,[status(thm)],[d18,c19]) ).
cnf(d20,plain,
greater(high,'very$ulow'),
inference(resolution,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
( 'positional$uadvantage'(sk2,sk5)
| 'is$ualigned'(sk2,sk5)
| 'has$uimmunity'(sk2,sk5) ),
inference(resolution,[status(thm)],[d20,d16]) ).
cnf(d22,plain,
( dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma)
| ~ organization(sk2)
| zero != zero ),
inference(superposition,[status(thm)],[c27,c12]) ).
cnf(d23,plain,
( dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma)
| zero != zero ),
inference(resolution,[status(thm)],[c24,d22]) ).
cnf(d24,plain,
( dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma) ),
inference(equality_resolution,[status(thm)],[d23]) ).
cnf(d25,plain,
dissimilar(sk2,sk3,sk5),
inference(resolution,[status(thm)],[d24,c34]) ).
cnf(d26,plain,
( ~ 'is$ualigned'(sk2,sk3)
| ~ 'is$ualigned'(sk2,sk5) ),
inference(resolution,[status(thm)],[d25,c8]) ).
cnf(d27,plain,
( 'is$ualigned'(sk2,sk3)
| ~ organization(sk2)
| zero != zero ),
inference(superposition,[status(thm)],[c27,c11]) ).
cnf(d28,plain,
( 'is$ualigned'(sk2,sk3)
| zero != zero ),
inference(resolution,[status(thm)],[c24,d27]) ).
cnf(d29,plain,
'is$ualigned'(sk2,sk3),
inference(equality_resolution,[status(thm)],[d28]) ).
cnf(d30,plain,
~ 'is$ualigned'(sk2,sk5),
inference(resolution,[status(thm)],[d29,d26]) ).
cnf(d31,plain,
( 'positional$uadvantage'(sk2,sk5)
| 'has$uimmunity'(sk2,sk5) ),
inference(resolution,[status(thm)],[d30,d21]) ).
cnf(d32,plain,
( ~ greater(age(sk2,sk5),eta)
| 'positional$uadvantage'(sk2,sk5) ),
inference(resolution,[status(thm)],[d31,d0]) ).
cnf(d33,plain,
'positional$uadvantage'(sk2,sk5),
inference(resolution,[status(thm)],[c36,d32]) ).
cnf(d34,plain,
( 'is$ualigned'(sk2,sk5)
| 'has$uimmunity'(sk2,sk5)
| 'hazard$uof$umortality'(sk2,sk5) = mod1 ),
inference(resolution,[status(thm)],[d33,d14]) ).
cnf(d35,plain,
( 'has$uimmunity'(sk2,sk5)
| 'hazard$uof$umortality'(sk2,sk5) = mod1 ),
inference(resolution,[status(thm)],[d30,d34]) ).
cnf(d36,plain,
( 'has$uimmunity'(sk2,sk5)
| ~ greater(mod1,'very$ulow') ),
inference(superposition,[status(thm)],[d35,d13]) ).
cnf(d37,plain,
greater(mod1,'very$ulow'),
inference(resolution,[status(thm)],[d17,c20]) ).
cnf(d38,plain,
'has$uimmunity'(sk2,sk5),
inference(resolution,[status(thm)],[d37,d36]) ).
cnf(d39,plain,
~ greater(age(sk2,sk5),eta),
inference(resolution,[status(thm)],[d38,d0]) ).
cnf(d40,plain,
$false,
inference(resolution,[status(thm)],[c36,d39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT065-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/25.34 % Computer : n012.cluster.edu
% 0.03/25.34 % Model : x86_64 x86_64
% 0.03/25.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/25.34 % Memory : 8046.5625MB
% 0.03/25.34 % OS : Linux 6.8.0-71-generic
% 0.03/25.34 % CPULimit : 300
% 0.03/25.34 % WCLimit : 300
% 0.03/25.34 % DateTime : Sat Sep 26 00:11:16 UTC 2026
% 0.03/25.34 % CPUTime :
% 0.03/25.34 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.97/27.34 % SZS status Unsatisfiable for theBenchmark.p
% 13.97/27.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------