%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT055-1 : 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 : 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 40.38s 6.06s
% Output : CNFRefutation 40.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 27
% Syntax : Number of clauses : 109 ( 33 unt; 31 nHn; 93 RR)
% Number of literals : 251 ( 24 equ; 114 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 115 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_1_39,axiom,
( 'has$uimmunity'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),eta)
| ~ 'has$uendowment'(X0) ) ).
cnf(definition_1_40,axiom,
( ~ 'has$uimmunity'(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ 'has$uendowment'(X0) ) ).
cnf(assumption_2_45,axiom,
( 'hazard$uof$umortality'(X0,X1) = 'hazard$uof$umortality'(X0,X2)
| ~ 'has$uimmunity'(X0,X2)
| ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_3_46,axiom,
( greater('hazard$uof$umortality'(X0,X2),'hazard$uof$umortality'(X0,X1))
| 'has$uimmunity'(X0,X2)
| ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(definition_2_49,axiom,
( ~ 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ) ).
cnf(definition_2_51,axiom,
( dissimilar(X0,X1,X2)
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_13_54,axiom,
( 'is$ualigned'(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_14_55,axiom,
( greater(capability(X0,X1),capability(X0,X2))
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_15_56,axiom,
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_15_57,axiom,
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_16_58,axiom,
( greater('hazard$uof$umortality'(X0,X1),'hazard$uof$umortality'(X0,X2))
| ~ greater(capability(X0,X2),capability(X0,X1))
| 'has$uimmunity'(X0,X2)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(lemma_8_59,negated_conjecture,
organization(sk2) ).
cnf(lemma_8_60,negated_conjecture,
'has$uendowment'(sk2) ).
cnf(lemma_8_61,negated_conjecture,
age(sk2,sk3) = zero ).
cnf(lemma_8_62,negated_conjecture,
'smaller$uor$uequal'(age(sk2,sk4),eta) ).
cnf(lemma_8_63,negated_conjecture,
greater(age(sk2,sk5),eta) ).
cnf(lemma_8_64,negated_conjecture,
'smaller$uor$uequal'(age(sk2,sk5),sigma) ).
cnf(lemma_8_65,negated_conjecture,
greater(age(sk2,sk6),sigma) ).
cnf(lemma_8_66,negated_conjecture,
greater(sigma,eta) ).
cnf(lemma_8_67,negated_conjecture,
greater(eta,zero) ).
cnf(lemma_8_68,negated_conjecture,
( 'hazard$uof$umortality'(sk2,sk4) != 'hazard$uof$umortality'(sk2,sk3)
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4))
| ~ greater('hazard$uof$umortality'(sk2,sk6),'hazard$uof$umortality'(sk2,sk5)) ) ).
cnf(definition_smaller_or_equal_1,axiom,
( X0 = X1
| smaller(X0,X1)
| ~ 'smaller$uor$uequal'(X0,X1) ) ).
cnf(definition_smaller_or_equal_2,axiom,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ) ).
cnf(definition_smaller_7,axiom,
( greater(X1,X0)
| ~ smaller(X0,X1) ) ).
cnf(definition_smaller_8,axiom,
( smaller(X1,X0)
| ~ greater(X0,X1) ) ).
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(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_39]) ).
cnf(c2,plain,
( ~ 'has$uimmunity'(X0,X1)
| ~ 'has$uendowment'(X0)
| ~ greater(age(X0,X1),eta) ),
inference(clausification,[status(esa)],[definition_1_40]) ).
cnf(c6,plain,
( 'hazard$uof$umortality'(X0,X1) = 'hazard$uof$umortality'(X0,X2)
| ~ 'has$uimmunity'(X0,X2)
| ~ organization(X0)
| ~ 'has$uimmunity'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_2_45]) ).
cnf(c7,plain,
( greater('hazard$uof$umortality'(X0,X1),'hazard$uof$umortality'(X0,X2))
| ~ 'has$uimmunity'(X0,X2)
| ~ organization(X0)
| 'has$uimmunity'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_3_46]) ).
cnf(c10,plain,
( ~ 'is$ualigned'(X0,X2)
| ~ dissimilar(X0,X1,X2)
| ~ 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[definition_2_49]) ).
cnf(c11,plain,
( dissimilar(X0,X2,X1)
| ~ 'is$ualigned'(X0,X2)
| ~ organization(X0)
| 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[definition_2_51]) ).
cnf(c13,plain,
( 'is$ualigned'(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(clausification,[status(esa)],[assumption_13_54]) ).
cnf(c14,plain,
( greater(capability(X0,X2),capability(X0,X1))
| ~ 'is$ualigned'(X0,X2)
| ~ organization(X0)
| 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_14_55]) ).
cnf(c15,plain,
( dissimilar(X0,X2,X1)
| age(X0,X2) != zero
| ~ organization(X0)
| ~ greater(age(X0,X1),sigma) ),
inference(clausification,[status(esa)],[assumption_15_56]) ).
cnf(c16,plain,
( greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(clausification,[status(esa)],[assumption_15_57]) ).
cnf(c17,plain,
( ~ organization(X0)
| 'has$uimmunity'(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1))
| greater('hazard$uof$umortality'(X0,X1),'hazard$uof$umortality'(X0,X2))
| 'has$uimmunity'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_16_58]) ).
cnf(c18,plain,
organization(sk2),
inference(clausification,[status(esa)],[lemma_8_59]) ).
cnf(c19,plain,
'has$uendowment'(sk2),
inference(clausification,[status(esa)],[lemma_8_60]) ).
cnf(c20,plain,
age(sk2,sk3) = zero,
inference(clausification,[status(esa)],[lemma_8_61]) ).
cnf(c21,plain,
'smaller$uor$uequal'(age(sk2,sk4),eta),
inference(clausification,[status(esa)],[lemma_8_62]) ).
cnf(c22,plain,
greater(age(sk2,sk5),eta),
inference(clausification,[status(esa)],[lemma_8_63]) ).
cnf(c23,plain,
'smaller$uor$uequal'(age(sk2,sk5),sigma),
inference(clausification,[status(esa)],[lemma_8_64]) ).
cnf(c24,plain,
greater(age(sk2,sk6),sigma),
inference(clausification,[status(esa)],[lemma_8_65]) ).
cnf(c25,plain,
greater(sigma,eta),
inference(clausification,[status(esa)],[lemma_8_66]) ).
cnf(c26,plain,
greater(eta,zero),
inference(clausification,[status(esa)],[lemma_8_67]) ).
cnf(c27,plain,
( 'hazard$uof$umortality'(sk2,sk3) != 'hazard$uof$umortality'(sk2,sk4)
| ~ greater('hazard$uof$umortality'(sk2,sk6),'hazard$uof$umortality'(sk2,sk5))
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4)) ),
inference(clausification,[status(esa)],[lemma_8_68]) ).
cnf(c28,plain,
( X1 = X0
| ~ 'smaller$uor$uequal'(X0,X1)
| smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_1]) ).
cnf(c29,plain,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_2]) ).
cnf(c34,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_7]) ).
cnf(c35,plain,
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_8]) ).
cnf(c36,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[meaning_postulate_greater_strict_9]) ).
cnf(c37,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$uimmunity'(sk2,X0) ),
inference(resolution,[status(thm)],[c2,c19]) ).
cnf(d1,plain,
( ~ greater(capability(sk2,X1),capability(sk2,X0))
| greater('hazard$uof$umortality'(sk2,X0),'hazard$uof$umortality'(sk2,X1))
| 'has$uimmunity'(sk2,X1)
| 'has$uimmunity'(sk2,X0) ),
inference(resolution,[status(thm)],[c17,c18]) ).
cnf(d2,plain,
( dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma)
| ~ organization(sk2)
| zero != zero ),
inference(superposition,[status(thm)],[c20,c15]) ).
cnf(d3,plain,
( dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma)
| zero != zero ),
inference(resolution,[status(thm)],[c18,d2]) ).
cnf(d4,plain,
( dissimilar(sk2,sk3,X0)
| ~ greater(age(sk2,X0),sigma) ),
inference(equality_resolution,[status(thm)],[d3]) ).
cnf(d5,plain,
dissimilar(sk2,sk3,sk6),
inference(resolution,[status(thm)],[d4,c24]) ).
cnf(d6,plain,
( ~ 'is$ualigned'(sk2,sk3)
| ~ 'is$ualigned'(sk2,sk6) ),
inference(resolution,[status(thm)],[d5,c10]) ).
cnf(d7,plain,
( 'is$ualigned'(sk2,sk3)
| ~ organization(sk2)
| zero != zero ),
inference(superposition,[status(thm)],[c20,c13]) ).
cnf(d8,plain,
( 'is$ualigned'(sk2,sk3)
| zero != zero ),
inference(resolution,[status(thm)],[c18,d7]) ).
cnf(d9,plain,
'is$ualigned'(sk2,sk3),
inference(equality_resolution,[status(thm)],[d8]) ).
cnf(d10,plain,
~ 'is$ualigned'(sk2,sk6),
inference(resolution,[status(thm)],[d9,d6]) ).
cnf(d11,plain,
( ~ 'is$ualigned'(sk2,X0)
| 'is$ualigned'(sk2,X1)
| greater(capability(sk2,X0),capability(sk2,X1)) ),
inference(resolution,[status(thm)],[c14,c18]) ).
cnf(d12,plain,
( ~ 'is$ualigned'(sk2,X0)
| 'is$ualigned'(sk2,X1)
| dissimilar(sk2,X0,X1) ),
inference(resolution,[status(thm)],[c11,c18]) ).
cnf(d13,plain,
( 'is$ualigned'(sk2,X0)
| dissimilar(sk2,sk3,X0) ),
inference(resolution,[status(thm)],[d9,d12]) ).
cnf(d14,plain,
( ~ dissimilar(sk2,sk3,X0)
| greater(age(sk2,X0),sigma)
| ~ organization(sk2)
| zero != zero ),
inference(superposition,[status(thm)],[c20,c16]) ).
cnf(d15,plain,
( ~ dissimilar(sk2,sk3,X0)
| greater(age(sk2,X0),sigma)
| zero != zero ),
inference(resolution,[status(thm)],[c18,d14]) ).
cnf(d16,plain,
( ~ dissimilar(sk2,sk3,X0)
| greater(age(sk2,X0),sigma) ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( 'is$ualigned'(sk2,X0)
| greater(age(sk2,X0),sigma) ),
inference(resolution,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
( ~ greater(sigma,age(sk2,X0))
| 'is$ualigned'(sk2,X0) ),
inference(resolution,[status(thm)],[d17,c36]) ).
cnf(d19,plain,
( smaller(age(sk2,sk5),sigma)
| sigma = age(sk2,sk5) ),
inference(resolution,[status(thm)],[c28,c23]) ).
cnf(d20,plain,
( smaller(age(sk2,sk5),sigma)
| 'is$ualigned'(sk2,sk5)
| greater(sigma,sigma) ),
inference(superposition,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
( smaller(age(sk2,sk5),sigma)
| 'is$ualigned'(sk2,sk5)
| ~ greater(sigma,sigma) ),
inference(superposition,[status(thm)],[d19,d18]) ).
cnf(d22,plain,
( smaller(age(sk2,sk5),sigma)
| 'is$ualigned'(sk2,sk5)
| smaller(age(sk2,sk5),sigma)
| 'is$ualigned'(sk2,sk5) ),
inference(resolution,[status(thm)],[d21,d20]) ).
cnf(d23,plain,
( 'is$ualigned'(sk2,X0)
| greater(capability(sk2,sk5),capability(sk2,X0))
| smaller(age(sk2,sk5),sigma) ),
inference(resolution,[status(thm)],[d22,d11]) ).
cnf(d24,plain,
( smaller(capability(sk2,X0),capability(sk2,sk5))
| smaller(age(sk2,sk5),sigma)
| 'is$ualigned'(sk2,X0) ),
inference(resolution,[status(thm)],[d23,c35]) ).
cnf(d25,plain,
( smaller(capability(sk2,sk6),capability(sk2,sk5))
| smaller(age(sk2,sk5),sigma) ),
inference(resolution,[status(thm)],[d24,d10]) ).
cnf(d26,plain,
( greater(sigma,age(sk2,sk5))
| smaller(capability(sk2,sk6),capability(sk2,sk5)) ),
inference(resolution,[status(thm)],[d25,c34]) ).
cnf(d27,plain,
( 'is$ualigned'(sk2,sk5)
| smaller(capability(sk2,sk6),capability(sk2,sk5)) ),
inference(resolution,[status(thm)],[d26,d18]) ).
cnf(d28,plain,
( 'is$ualigned'(sk2,X0)
| greater(capability(sk2,sk5),capability(sk2,X0))
| smaller(capability(sk2,sk6),capability(sk2,sk5)) ),
inference(resolution,[status(thm)],[d27,d11]) ).
cnf(d29,plain,
( smaller(capability(sk2,X0),capability(sk2,sk5))
| smaller(capability(sk2,sk6),capability(sk2,sk5))
| 'is$ualigned'(sk2,X0) ),
inference(resolution,[status(thm)],[d28,c35]) ).
cnf(d30,plain,
( smaller(capability(sk2,sk6),capability(sk2,sk5))
| smaller(capability(sk2,sk6),capability(sk2,sk5)) ),
inference(resolution,[status(thm)],[d29,d10]) ).
cnf(d31,plain,
greater(capability(sk2,sk5),capability(sk2,sk6)),
inference(resolution,[status(thm)],[d30,c34]) ).
cnf(d32,plain,
( greater('hazard$uof$umortality'(sk2,sk6),'hazard$uof$umortality'(sk2,sk5))
| 'has$uimmunity'(sk2,sk6)
| 'has$uimmunity'(sk2,sk5) ),
inference(resolution,[status(thm)],[d31,d1]) ).
cnf(d33,plain,
( 'has$uimmunity'(sk2,X0)
| ~ 'smaller$uor$uequal'(age(sk2,X0),eta) ),
inference(resolution,[status(thm)],[c1,c19]) ).
cnf(d34,plain,
( 'has$uimmunity'(sk2,sk3)
| ~ 'smaller$uor$uequal'(zero,eta) ),
inference(superposition,[status(thm)],[c20,d33]) ).
cnf(d35,plain,
smaller(zero,eta),
inference(resolution,[status(thm)],[c35,c26]) ).
cnf(d36,plain,
'smaller$uor$uequal'(zero,eta),
inference(resolution,[status(thm)],[d35,c29]) ).
cnf(d37,plain,
'has$uimmunity'(sk2,sk3),
inference(resolution,[status(thm)],[d36,d34]) ).
cnf(d38,plain,
'has$uimmunity'(sk2,sk4),
inference(resolution,[status(thm)],[d33,c21]) ).
cnf(d39,plain,
( ~ 'has$uimmunity'(sk2,X1)
| ~ 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = 'hazard$uof$umortality'(sk2,X1) ),
inference(resolution,[status(thm)],[c6,c18]) ).
cnf(d40,plain,
( ~ 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = 'hazard$uof$umortality'(sk2,sk4) ),
inference(resolution,[status(thm)],[d39,d38]) ).
cnf(d41,plain,
'hazard$uof$umortality'(sk2,sk3) = 'hazard$uof$umortality'(sk2,sk4),
inference(resolution,[status(thm)],[d40,d37]) ).
cnf(d42,plain,
( ~ greater('hazard$uof$umortality'(sk2,sk6),'hazard$uof$umortality'(sk2,sk5))
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4)) ),
inference(resolution,[status(thm)],[d41,c27]) ).
cnf(d43,plain,
( greater('hazard$uof$umortality'(sk2,X0),'hazard$uof$umortality'(sk2,X1))
| ~ 'has$uimmunity'(sk2,X1)
| 'has$uimmunity'(sk2,X0) ),
inference(resolution,[status(thm)],[c7,c18]) ).
cnf(d44,plain,
( greater('hazard$uof$umortality'(sk2,X0),'hazard$uof$umortality'(sk2,sk4))
| 'has$uimmunity'(sk2,X0) ),
inference(resolution,[status(thm)],[d43,d38]) ).
cnf(d45,plain,
( ~ greater(age(sk2,X0),eta)
| greater('hazard$uof$umortality'(sk2,X0),'hazard$uof$umortality'(sk2,sk4)) ),
inference(resolution,[status(thm)],[d44,d0]) ).
cnf(d46,plain,
greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4)),
inference(resolution,[status(thm)],[d45,c22]) ).
cnf(d47,plain,
~ greater('hazard$uof$umortality'(sk2,sk6),'hazard$uof$umortality'(sk2,sk5)),
inference(resolution,[status(thm)],[d46,d42]) ).
cnf(d48,plain,
( 'has$uimmunity'(sk2,sk6)
| 'has$uimmunity'(sk2,sk5) ),
inference(resolution,[status(thm)],[d47,d32]) ).
cnf(d49,plain,
( ~ greater(age(sk2,sk5),eta)
| 'has$uimmunity'(sk2,sk6) ),
inference(resolution,[status(thm)],[d48,d0]) ).
cnf(d50,plain,
'has$uimmunity'(sk2,sk6),
inference(resolution,[status(thm)],[c22,d49]) ).
cnf(d51,plain,
~ greater(age(sk2,sk6),eta),
inference(resolution,[status(thm)],[d50,d0]) ).
cnf(d52,plain,
( ~ greater(sigma,X0)
| greater(age(sk2,sk6),X0) ),
inference(resolution,[status(thm)],[c37,c24]) ).
cnf(d53,plain,
greater(age(sk2,sk6),eta),
inference(resolution,[status(thm)],[d52,c25]) ).
cnf(d54,plain,
$false,
inference(resolution,[status(thm)],[d53,d51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 26 00:10:14 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 40.38/6.06 % SZS status Unsatisfiable for theBenchmark.p
% 40.38/6.06 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------