%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT056-1 : 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 : n026.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 20.78s 8.16s
% Output : CNFRefutation 20.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 16
% Syntax : Number of clauses : 64 ( 25 unt; 13 nHn; 62 RR)
% Number of literals : 126 ( 26 equ; 57 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 41 ( 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(lemma_9_40,negated_conjecture,
organization(sk2) ).
cnf(lemma_9_41,negated_conjecture,
'has$uendowment'(sk2) ).
cnf(lemma_9_42,negated_conjecture,
age(sk2,sk3) = zero ).
cnf(lemma_9_43,negated_conjecture,
'smaller$uor$uequal'(age(sk2,sk4),eta) ).
cnf(lemma_9_44,negated_conjecture,
greater(age(sk2,sk5),eta) ).
cnf(lemma_9_45,negated_conjecture,
'greater$uor$uequal'(eta,sigma) ).
cnf(lemma_9_46,negated_conjecture,
greater(sigma,zero) ).
cnf(lemma_9_47,negated_conjecture,
( 'hazard$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$uequal'(X0,X1)
| ~ smaller(X0,X1) ) ).
cnf(definition_greater_or_equal_4,axiom,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(definition_smaller_8,axiom,
( smaller(X1,X0)
| ~ greater(X0,X1) ) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ) ).
cnf(c1,plain,
( 'has$uimmunity'(X0,X1)
| ~ '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$uimmunity'(X0,X1)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_3_39]) ).
cnf(c9,plain,
organization(sk2),
inference(clausification,[status(esa)],[lemma_9_40]) ).
cnf(c10,plain,
'has$uendowment'(sk2),
inference(clausification,[status(esa)],[lemma_9_41]) ).
cnf(c11,plain,
age(sk2,sk3) = zero,
inference(clausification,[status(esa)],[lemma_9_42]) ).
cnf(c12,plain,
'smaller$uor$uequal'(age(sk2,sk4),eta),
inference(clausification,[status(esa)],[lemma_9_43]) ).
cnf(c13,plain,
greater(age(sk2,sk5),eta),
inference(clausification,[status(esa)],[lemma_9_44]) ).
cnf(c14,plain,
'greater$uor$uequal'(eta,sigma),
inference(clausification,[status(esa)],[lemma_9_45]) ).
cnf(c15,plain,
greater(sigma,zero),
inference(clausification,[status(esa)],[lemma_9_46]) ).
cnf(c16,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)],[lemma_9_47]) ).
cnf(c18,plain,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_2]) ).
cnf(c20,plain,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ),
inference(clausification,[status(esa)],[definition_greater_or_equal_4]) ).
cnf(c24,plain,
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_8]) ).
cnf(c26,plain,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[meaning_postulate_greater_transitive_10]) ).
cnf(d0,plain,
( 'has$uimmunity'(sk2,sk4)
| ~ 'has$uendowment'(sk2) ),
inference(resolution,[status(thm)],[c12,c1]) ).
cnf(d1,plain,
'has$uimmunity'(sk2,sk4),
inference(resolution,[status(thm)],[c10,d0]) ).
cnf(d2,plain,
( ~ 'has$uimmunity'(sk2,X0)
| ~ organization(sk2)
| 'hazard$uof$umortality'(sk2,X0) = 'hazard$uof$umortality'(sk2,sk4) ),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
( ~ 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = 'hazard$uof$umortality'(sk2,sk4) ),
inference(resolution,[status(thm)],[c9,d2]) ).
cnf(d4,plain,
( 'has$uimmunity'(sk2,sk3)
| ~ 'has$uendowment'(sk2)
| ~ 'smaller$uor$uequal'(zero,eta) ),
inference(superposition,[status(thm)],[c11,c1]) ).
cnf(d5,plain,
( 'has$uimmunity'(sk2,sk3)
| ~ 'smaller$uor$uequal'(zero,eta) ),
inference(resolution,[status(thm)],[c10,d4]) ).
cnf(d6,plain,
( greater(eta,sigma)
| eta = sigma ),
inference(resolution,[status(thm)],[c20,c14]) ).
cnf(d7,plain,
( ~ greater(X0,sigma)
| greater(X0,zero) ),
inference(resolution,[status(thm)],[c26,c15]) ).
cnf(d8,plain,
( eta = sigma
| greater(eta,zero) ),
inference(resolution,[status(thm)],[d7,d6]) ).
cnf(d9,plain,
( smaller(zero,eta)
| eta = sigma ),
inference(resolution,[status(thm)],[d8,c24]) ).
cnf(d10,plain,
( 'smaller$uor$uequal'(zero,eta)
| eta = sigma ),
inference(resolution,[status(thm)],[d9,c18]) ).
cnf(d11,plain,
( 'has$uimmunity'(sk2,sk3)
| eta = sigma ),
inference(resolution,[status(thm)],[d10,d5]) ).
cnf(d12,plain,
( 'hazard$uof$umortality'(sk2,sk3) = 'hazard$uof$umortality'(sk2,sk4)
| eta = sigma ),
inference(resolution,[status(thm)],[d11,d3]) ).
cnf(d13,plain,
( eta = sigma
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4))
| 'hazard$uof$umortality'(sk2,sk4) != 'hazard$uof$umortality'(sk2,sk4) ),
inference(superposition,[status(thm)],[d12,c16]) ).
cnf(d14,plain,
( ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4))
| eta = sigma ),
inference(equality_resolution,[status(thm)],[d13]) ).
cnf(d15,plain,
( ~ 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk5)
| ~ organization(sk2)
| eta = sigma ),
inference(resolution,[status(thm)],[d14,c8]) ).
cnf(d16,plain,
( 'has$uimmunity'(sk2,sk5)
| ~ 'has$uimmunity'(sk2,sk4)
| eta = sigma ),
inference(resolution,[status(thm)],[c9,d15]) ).
cnf(d17,plain,
( 'has$uimmunity'(sk2,sk5)
| eta = sigma ),
inference(resolution,[status(thm)],[d1,d16]) ).
cnf(d18,plain,
( ~ 'has$uimmunity'(sk2,sk5)
| ~ 'has$uendowment'(sk2) ),
inference(resolution,[status(thm)],[c13,c2]) ).
cnf(d19,plain,
~ 'has$uimmunity'(sk2,sk5),
inference(resolution,[status(thm)],[c10,d18]) ).
cnf(d20,plain,
eta = sigma,
inference(resolution,[status(thm)],[d19,d17]) ).
cnf(d21,plain,
smaller(zero,sigma),
inference(resolution,[status(thm)],[c24,c15]) ).
cnf(d22,plain,
'smaller$uor$uequal'(zero,sigma),
inference(resolution,[status(thm)],[d21,c18]) ).
cnf(d23,plain,
'smaller$uor$uequal'(zero,eta),
inference(demodulation,[status(thm)],[d22,d20]) ).
cnf(d24,plain,
'has$uimmunity'(sk2,sk3),
inference(resolution,[status(thm)],[d23,d5]) ).
cnf(d25,plain,
'hazard$uof$umortality'(sk2,sk3) = 'hazard$uof$umortality'(sk2,sk4),
inference(resolution,[status(thm)],[d24,d3]) ).
cnf(d26,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)],[c16,d25]) ).
cnf(d27,plain,
~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4)),
inference(equality_resolution,[status(thm)],[d26]) ).
cnf(d28,plain,
( ~ 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk5)
| ~ organization(sk2) ),
inference(resolution,[status(thm)],[d27,c8]) ).
cnf(d29,plain,
( 'has$uimmunity'(sk2,sk5)
| ~ 'has$uimmunity'(sk2,sk4) ),
inference(resolution,[status(thm)],[c9,d28]) ).
cnf(d30,plain,
'has$uimmunity'(sk2,sk5),
inference(resolution,[status(thm)],[d1,d29]) ).
cnf(d31,plain,
$false,
inference(resolution,[status(thm)],[d19,d30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT056-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n026.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Sat Sep 26 00:13:15 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.78/8.16 % SZS status Unsatisfiable for theBenchmark.p
% 20.78/8.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------