%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT063-1 : 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 : n018.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 08:01:25 AM UTC 2026
% Result : Unsatisfiable 27.75s 7.51s
% Output : CNFRefutation 27.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 32
% Syntax : Number of clauses : 154 ( 48 unt; 52 nHn; 143 RR)
% Number of literals : 359 ( 43 equ; 152 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 109 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_1_46,axiom,
( ~ 'has$uimmunity'(X0,X1)
| 'has$uendowment'(X0)
| ~ 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$ualigned'(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_15_55,axiom,
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_15_56,axiom,
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(definition_4_57,axiom,
( ~ 'positional$uadvantage'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),tau)
| ~ 'robust$uposition'(X0) ) ).
cnf(definition_4_58,axiom,
( 'positional$uadvantage'(X0,X1)
| ~ greater(age(X0,X1),tau)
| ~ 'robust$uposition'(X0) ) ).
cnf(assumption_17_65,axiom,
( 'hazard$uof$umortality'(X0,X1) = mod1
| ~ 'positional$uadvantage'(X0,X1)
| 'is$ualigned'(X0,X1)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_17_66,axiom,
( 'hazard$uof$umortality'(X0,X1) = mod2
| 'positional$uadvantage'(X0,X1)
| ~ 'is$ualigned'(X0,X1)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_17_67,axiom,
( 'hazard$uof$umortality'(X0,X1) = high
| 'positional$uadvantage'(X0,X1)
| 'is$ualigned'(X0,X1)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_18d_71,axiom,
greater(high,mod2) ).
cnf(assumption_19_73,axiom,
greater(mod2,mod1) ).
cnf(theorem_9_74,negated_conjecture,
organization(sk3) ).
cnf(theorem_9_75,negated_conjecture,
'robust$uposition'(sk3) ).
cnf(theorem_9_76,negated_conjecture,
~ 'has$uendowment'(sk3) ).
cnf(theorem_9_77,negated_conjecture,
age(sk3,sk4) = zero ).
cnf(theorem_9_79,negated_conjecture,
greater(tau,zero) ).
cnf(theorem_9_80,negated_conjecture,
smaller(sigma,tau) ).
cnf(theorem_9_81,negated_conjecture,
'smaller$uor$uequal'(age(sk3,sk5),sigma) ).
cnf(theorem_9_82,negated_conjecture,
greater(age(sk3,sk6),sigma) ).
cnf(theorem_9_83,negated_conjecture,
'smaller$uor$uequal'(age(sk3,sk6),tau) ).
cnf(theorem_9_84,negated_conjecture,
greater(age(sk3,sk7),tau) ).
cnf(theorem_9_85,negated_conjecture,
( 'hazard$uof$umortality'(sk3,sk5) != 'hazard$uof$umortality'(sk3,sk4)
| ~ smaller('hazard$uof$umortality'(sk3,sk5),'hazard$uof$umortality'(sk3,sk6))
| ~ smaller('hazard$uof$umortality'(sk3,sk7),'hazard$uof$umortality'(sk3,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_greater_or_equal_4,axiom,
( X0 = X1
| greater(X0,X1)
| ~ 'greater$uor$uequal'(X0,X1) ) ).
cnf(definition_greater_or_equal_5,axiom,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(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(c6,plain,
( ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0)
| 'has$uendowment'(X0) ),
inference(clausification,[status(esa)],[assumption_1_46]) ).
cnf(c9,plain,
( ~ 'is$ualigned'(X0,X2)
| ~ dissimilar(X0,X1,X2)
| ~ 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[definition_2_49]) ).
cnf(c10,plain,
( dissimilar(X0,X2,X1)
| ~ 'is$ualigned'(X0,X2)
| ~ organization(X0)
| 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[definition_2_51]) ).
cnf(c12,plain,
( 'is$ualigned'(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(clausification,[status(esa)],[assumption_13_54]) ).
cnf(c13,plain,
( dissimilar(X0,X2,X1)
| age(X0,X2) != zero
| ~ organization(X0)
| ~ greater(age(X0,X1),sigma) ),
inference(clausification,[status(esa)],[assumption_15_55]) ).
cnf(c14,plain,
( greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(clausification,[status(esa)],[assumption_15_56]) ).
cnf(c15,plain,
( ~ 'positional$uadvantage'(X0,X1)
| ~ 'robust$uposition'(X0)
| ~ 'smaller$uor$uequal'(age(X0,X1),tau) ),
inference(clausification,[status(esa)],[definition_4_57]) ).
cnf(c16,plain,
( 'positional$uadvantage'(X0,X1)
| ~ 'robust$uposition'(X0)
| ~ greater(age(X0,X1),tau) ),
inference(clausification,[status(esa)],[definition_4_58]) ).
cnf(c22,plain,
( 'hazard$uof$umortality'(X0,X1) = mod1
| 'has$uimmunity'(X0,X1)
| ~ 'positional$uadvantage'(X0,X1)
| ~ organization(X0)
| 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_17_65]) ).
cnf(c23,plain,
( 'positional$uadvantage'(X0,X1)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0)
| ~ 'is$ualigned'(X0,X1)
| 'hazard$uof$umortality'(X0,X1) = mod2 ),
inference(clausification,[status(esa)],[assumption_17_66]) ).
cnf(c24,plain,
( 'has$uimmunity'(X0,X1)
| 'is$ualigned'(X0,X1)
| ~ organization(X0)
| 'hazard$uof$umortality'(X0,X1) = high
| 'positional$uadvantage'(X0,X1) ),
inference(clausification,[status(esa)],[assumption_17_67]) ).
cnf(c28,plain,
greater(high,mod2),
inference(clausification,[status(esa)],[assumption_18d_71]) ).
cnf(c30,plain,
greater(mod2,mod1),
inference(clausification,[status(esa)],[assumption_19_73]) ).
cnf(c31,plain,
organization(sk3),
inference(clausification,[status(esa)],[theorem_9_74]) ).
cnf(c32,plain,
'robust$uposition'(sk3),
inference(clausification,[status(esa)],[theorem_9_75]) ).
cnf(c33,plain,
~ 'has$uendowment'(sk3),
inference(clausification,[status(esa)],[theorem_9_76]) ).
cnf(c34,plain,
age(sk3,sk4) = zero,
inference(clausification,[status(esa)],[theorem_9_77]) ).
cnf(c36,plain,
greater(tau,zero),
inference(clausification,[status(esa)],[theorem_9_79]) ).
cnf(c37,plain,
smaller(sigma,tau),
inference(clausification,[status(esa)],[theorem_9_80]) ).
cnf(c38,plain,
'smaller$uor$uequal'(age(sk3,sk5),sigma),
inference(clausification,[status(esa)],[theorem_9_81]) ).
cnf(c39,plain,
greater(age(sk3,sk6),sigma),
inference(clausification,[status(esa)],[theorem_9_82]) ).
cnf(c40,plain,
'smaller$uor$uequal'(age(sk3,sk6),tau),
inference(clausification,[status(esa)],[theorem_9_83]) ).
cnf(c41,plain,
greater(age(sk3,sk7),tau),
inference(clausification,[status(esa)],[theorem_9_84]) ).
cnf(c42,plain,
( 'hazard$uof$umortality'(sk3,sk4) != 'hazard$uof$umortality'(sk3,sk5)
| ~ smaller('hazard$uof$umortality'(sk3,sk7),'hazard$uof$umortality'(sk3,sk5))
| ~ smaller('hazard$uof$umortality'(sk3,sk5),'hazard$uof$umortality'(sk3,sk6)) ),
inference(clausification,[status(esa)],[theorem_9_85]) ).
cnf(c43,plain,
( X1 = X0
| ~ 'smaller$uor$uequal'(X0,X1)
| smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_1]) ).
cnf(c44,plain,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_2]) ).
cnf(c46,plain,
( X1 = X0
| ~ 'greater$uor$uequal'(X0,X1)
| greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_greater_or_equal_4]) ).
cnf(c47,plain,
( 'greater$uor$uequal'(X0,X1)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_greater_or_equal_5]) ).
cnf(c49,plain,
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_7]) ).
cnf(c50,plain,
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_8]) ).
cnf(c51,plain,
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[meaning_postulate_greater_strict_9]) ).
cnf(c52,plain,
( greater(X2,X1)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[meaning_postulate_greater_transitive_10]) ).
cnf(d0,plain,
( ~ dissimilar(sk3,sk4,X0)
| greater(age(sk3,X0),sigma)
| ~ organization(sk3)
| zero != zero ),
inference(superposition,[status(thm)],[c34,c14]) ).
cnf(d1,plain,
( ~ dissimilar(sk3,sk4,X0)
| greater(age(sk3,X0),sigma)
| zero != zero ),
inference(resolution,[status(thm)],[c31,d0]) ).
cnf(d2,plain,
( ~ dissimilar(sk3,sk4,X0)
| greater(age(sk3,X0),sigma) ),
inference(equality_resolution,[status(thm)],[d1]) ).
cnf(d3,plain,
( ~ 'is$ualigned'(sk3,X0)
| 'is$ualigned'(sk3,X1)
| dissimilar(sk3,X0,X1) ),
inference(resolution,[status(thm)],[c10,c31]) ).
cnf(d4,plain,
( 'is$ualigned'(sk3,sk4)
| ~ organization(sk3)
| zero != zero ),
inference(superposition,[status(thm)],[c34,c12]) ).
cnf(d5,plain,
( 'is$ualigned'(sk3,sk4)
| zero != zero ),
inference(resolution,[status(thm)],[c31,d4]) ).
cnf(d6,plain,
'is$ualigned'(sk3,sk4),
inference(equality_resolution,[status(thm)],[d5]) ).
cnf(d7,plain,
( 'is$ualigned'(sk3,X0)
| dissimilar(sk3,sk4,X0) ),
inference(resolution,[status(thm)],[d6,d3]) ).
cnf(d8,plain,
( greater(age(sk3,X0),sigma)
| 'is$ualigned'(sk3,X0) ),
inference(resolution,[status(thm)],[d7,d2]) ).
cnf(d9,plain,
( smaller(age(sk3,sk5),sigma)
| sigma = age(sk3,sk5) ),
inference(resolution,[status(thm)],[c43,c38]) ).
cnf(d10,plain,
( smaller(age(sk3,sk5),sigma)
| 'is$ualigned'(sk3,sk5)
| greater(sigma,sigma) ),
inference(superposition,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
( ~ greater(sigma,age(sk3,X0))
| 'is$ualigned'(sk3,X0) ),
inference(resolution,[status(thm)],[d8,c51]) ).
cnf(d12,plain,
( smaller(age(sk3,sk5),sigma)
| 'is$ualigned'(sk3,sk5)
| ~ greater(sigma,sigma) ),
inference(superposition,[status(thm)],[d9,d11]) ).
cnf(d13,plain,
( smaller(age(sk3,sk5),sigma)
| 'is$ualigned'(sk3,sk5)
| smaller(age(sk3,sk5),sigma)
| 'is$ualigned'(sk3,sk5) ),
inference(resolution,[status(thm)],[d12,d10]) ).
cnf(d14,plain,
( dissimilar(sk3,sk4,X0)
| ~ greater(age(sk3,X0),sigma)
| ~ organization(sk3)
| zero != zero ),
inference(superposition,[status(thm)],[c34,c13]) ).
cnf(d15,plain,
( dissimilar(sk3,sk4,X0)
| ~ greater(age(sk3,X0),sigma)
| zero != zero ),
inference(resolution,[status(thm)],[c31,d14]) ).
cnf(d16,plain,
( dissimilar(sk3,sk4,X0)
| ~ greater(age(sk3,X0),sigma) ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( smaller(age(sk3,sk5),sigma)
| ~ 'positional$uadvantage'(sk3,sk5)
| ~ 'robust$uposition'(sk3)
| ~ 'smaller$uor$uequal'(sigma,tau) ),
inference(superposition,[status(thm)],[d9,c15]) ).
cnf(d18,plain,
( smaller(age(sk3,sk5),sigma)
| ~ 'positional$uadvantage'(sk3,sk5)
| ~ 'smaller$uor$uequal'(sigma,tau) ),
inference(resolution,[status(thm)],[c32,d17]) ).
cnf(d19,plain,
'smaller$uor$uequal'(sigma,tau),
inference(resolution,[status(thm)],[c44,c37]) ).
cnf(d20,plain,
( smaller(age(sk3,sk5),sigma)
| ~ 'positional$uadvantage'(sk3,sk5) ),
inference(resolution,[status(thm)],[d19,d18]) ).
cnf(d21,plain,
( 'positional$uadvantage'(sk3,sk7)
| ~ 'robust$uposition'(sk3) ),
inference(resolution,[status(thm)],[c16,c41]) ).
cnf(d22,plain,
'positional$uadvantage'(sk3,sk7),
inference(resolution,[status(thm)],[c32,d21]) ).
cnf(d23,plain,
( ~ 'positional$uadvantage'(sk3,X0)
| 'is$ualigned'(sk3,X0)
| 'has$uimmunity'(sk3,X0)
| 'hazard$uof$umortality'(sk3,X0) = mod1 ),
inference(resolution,[status(thm)],[c22,c31]) ).
cnf(d24,plain,
( ~ 'has$uimmunity'(sk3,X0)
| 'has$uendowment'(sk3) ),
inference(resolution,[status(thm)],[c6,c31]) ).
cnf(d25,plain,
~ 'has$uimmunity'(sk3,X0),
inference(resolution,[status(thm)],[c33,d24]) ).
cnf(d26,plain,
( ~ 'positional$uadvantage'(sk3,X0)
| 'is$ualigned'(sk3,X0)
| 'hazard$uof$umortality'(sk3,X0) = mod1 ),
inference(resolution,[status(thm)],[d25,d23]) ).
cnf(d27,plain,
( 'is$ualigned'(sk3,sk7)
| 'hazard$uof$umortality'(sk3,sk7) = mod1 ),
inference(resolution,[status(thm)],[d26,d22]) ).
cnf(d28,plain,
greater(tau,sigma),
inference(resolution,[status(thm)],[c49,c37]) ).
cnf(d29,plain,
( ~ greater(X0,tau)
| greater(X0,sigma) ),
inference(resolution,[status(thm)],[c52,d28]) ).
cnf(d30,plain,
greater(age(sk3,sk7),sigma),
inference(resolution,[status(thm)],[d29,c41]) ).
cnf(d31,plain,
dissimilar(sk3,sk4,sk7),
inference(resolution,[status(thm)],[d16,d30]) ).
cnf(d32,plain,
( ~ 'is$ualigned'(sk3,sk4)
| ~ 'is$ualigned'(sk3,sk7) ),
inference(resolution,[status(thm)],[d31,c9]) ).
cnf(d33,plain,
~ 'is$ualigned'(sk3,sk7),
inference(resolution,[status(thm)],[d6,d32]) ).
cnf(d34,plain,
'hazard$uof$umortality'(sk3,sk7) = mod1,
inference(resolution,[status(thm)],[d33,d27]) ).
cnf(d35,plain,
( 'positional$uadvantage'(sk3,X0)
| ~ 'is$ualigned'(sk3,X0)
| 'has$uimmunity'(sk3,X0)
| 'hazard$uof$umortality'(sk3,X0) = mod2 ),
inference(resolution,[status(thm)],[c23,c31]) ).
cnf(d36,plain,
( 'positional$uadvantage'(sk3,X0)
| ~ 'is$ualigned'(sk3,X0)
| 'hazard$uof$umortality'(sk3,X0) = mod2 ),
inference(resolution,[status(thm)],[d25,d35]) ).
cnf(d37,plain,
( 'positional$uadvantage'(sk3,sk4)
| 'hazard$uof$umortality'(sk3,sk4) = mod2 ),
inference(resolution,[status(thm)],[d6,d36]) ).
cnf(d38,plain,
( ~ 'positional$uadvantage'(sk3,sk4)
| ~ 'robust$uposition'(sk3)
| ~ 'smaller$uor$uequal'(zero,tau) ),
inference(superposition,[status(thm)],[c34,c15]) ).
cnf(d39,plain,
( ~ 'positional$uadvantage'(sk3,sk4)
| ~ 'smaller$uor$uequal'(zero,tau) ),
inference(resolution,[status(thm)],[c32,d38]) ).
cnf(d40,plain,
smaller(zero,tau),
inference(resolution,[status(thm)],[c50,c36]) ).
cnf(d41,plain,
'smaller$uor$uequal'(zero,tau),
inference(resolution,[status(thm)],[d40,c44]) ).
cnf(d42,plain,
~ 'positional$uadvantage'(sk3,sk4),
inference(resolution,[status(thm)],[d41,d39]) ).
cnf(d43,plain,
'hazard$uof$umortality'(sk3,sk4) = mod2,
inference(resolution,[status(thm)],[d42,d37]) ).
cnf(d44,plain,
( ~ smaller('hazard$uof$umortality'(sk3,sk7),'hazard$uof$umortality'(sk3,sk5))
| ~ smaller('hazard$uof$umortality'(sk3,sk5),'hazard$uof$umortality'(sk3,sk6))
| mod2 != 'hazard$uof$umortality'(sk3,sk5) ),
inference(demodulation,[status(thm)],[c42,d43]) ).
cnf(d45,plain,
( ~ smaller(mod1,'hazard$uof$umortality'(sk3,sk5))
| ~ smaller('hazard$uof$umortality'(sk3,sk5),'hazard$uof$umortality'(sk3,sk6))
| mod2 != 'hazard$uof$umortality'(sk3,sk5) ),
inference(demodulation,[status(thm)],[d44,d34]) ).
cnf(d46,plain,
( smaller(sigma,age(sk3,X0))
| 'is$ualigned'(sk3,X0) ),
inference(resolution,[status(thm)],[d8,c50]) ).
cnf(d47,plain,
( 'positional$uadvantage'(sk3,X0)
| 'hazard$uof$umortality'(sk3,X0) = mod2
| smaller(sigma,age(sk3,X0)) ),
inference(resolution,[status(thm)],[d46,d36]) ).
cnf(d48,plain,
( smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5)
| ~ smaller(mod1,'hazard$uof$umortality'(sk3,sk5))
| ~ smaller('hazard$uof$umortality'(sk3,sk5),'hazard$uof$umortality'(sk3,sk6))
| mod2 != mod2 ),
inference(superposition,[status(thm)],[d47,d45]) ).
cnf(d49,plain,
( ~ smaller(mod1,'hazard$uof$umortality'(sk3,sk5))
| ~ smaller('hazard$uof$umortality'(sk3,sk5),'hazard$uof$umortality'(sk3,sk6))
| smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5) ),
inference(equality_resolution,[status(thm)],[d48]) ).
cnf(d50,plain,
( smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5)
| ~ smaller(mod1,'hazard$uof$umortality'(sk3,sk5))
| smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5)
| ~ smaller(mod2,'hazard$uof$umortality'(sk3,sk6)) ),
inference(superposition,[status(thm)],[d47,d49]) ).
cnf(d51,plain,
( smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5)
| ~ smaller(mod2,'hazard$uof$umortality'(sk3,sk6))
| smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5)
| ~ smaller(mod1,mod2) ),
inference(superposition,[status(thm)],[d47,d50]) ).
cnf(d52,plain,
smaller(mod1,mod2),
inference(resolution,[status(thm)],[c50,c30]) ).
cnf(d53,plain,
( ~ smaller(mod2,'hazard$uof$umortality'(sk3,sk6))
| smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5) ),
inference(resolution,[status(thm)],[d52,d51]) ).
cnf(d54,plain,
( 'positional$uadvantage'(sk3,X0)
| 'is$ualigned'(sk3,X0)
| 'has$uimmunity'(sk3,X0)
| 'hazard$uof$umortality'(sk3,X0) = high ),
inference(resolution,[status(thm)],[c24,c31]) ).
cnf(d55,plain,
( 'positional$uadvantage'(sk3,X0)
| 'is$ualigned'(sk3,X0)
| 'hazard$uof$umortality'(sk3,X0) = high ),
inference(resolution,[status(thm)],[d25,d54]) ).
cnf(d56,plain,
( 'positional$uadvantage'(sk3,sk6)
| 'is$ualigned'(sk3,sk6)
| smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5)
| ~ smaller(mod2,high) ),
inference(superposition,[status(thm)],[d55,d53]) ).
cnf(d57,plain,
( ~ 'positional$uadvantage'(sk3,sk6)
| ~ 'robust$uposition'(sk3) ),
inference(resolution,[status(thm)],[c15,c40]) ).
cnf(d58,plain,
~ 'positional$uadvantage'(sk3,sk6),
inference(resolution,[status(thm)],[c32,d57]) ).
cnf(d59,plain,
( ~ smaller(mod2,high)
| smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5)
| 'is$ualigned'(sk3,sk6) ),
inference(resolution,[status(thm)],[d58,d56]) ).
cnf(d60,plain,
smaller(mod2,high),
inference(resolution,[status(thm)],[c50,c28]) ).
cnf(d61,plain,
( smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5)
| 'is$ualigned'(sk3,sk6) ),
inference(resolution,[status(thm)],[d60,d59]) ).
cnf(d62,plain,
dissimilar(sk3,sk4,sk6),
inference(resolution,[status(thm)],[d16,c39]) ).
cnf(d63,plain,
( ~ 'is$ualigned'(sk3,sk4)
| ~ 'is$ualigned'(sk3,sk6) ),
inference(resolution,[status(thm)],[d62,c9]) ).
cnf(d64,plain,
~ 'is$ualigned'(sk3,sk6),
inference(resolution,[status(thm)],[d6,d63]) ).
cnf(d65,plain,
( smaller(sigma,age(sk3,sk5))
| 'positional$uadvantage'(sk3,sk5) ),
inference(resolution,[status(thm)],[d64,d61]) ).
cnf(d66,plain,
( smaller(age(sk3,sk5),sigma)
| smaller(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d65,d20]) ).
cnf(d67,plain,
( greater(sigma,age(sk3,sk5))
| smaller(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d66,c49]) ).
cnf(d68,plain,
( 'greater$uor$uequal'(sigma,age(sk3,sk5))
| smaller(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d67,c47]) ).
cnf(d69,plain,
( greater(age(sk3,sk5),sigma)
| 'greater$uor$uequal'(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d68,c49]) ).
cnf(d70,plain,
( dissimilar(sk3,sk4,sk5)
| 'greater$uor$uequal'(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d69,d16]) ).
cnf(d71,plain,
( ~ 'is$ualigned'(sk3,sk4)
| ~ 'is$ualigned'(sk3,sk5)
| 'greater$uor$uequal'(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d70,c9]) ).
cnf(d72,plain,
( 'greater$uor$uequal'(sigma,age(sk3,sk5))
| ~ 'is$ualigned'(sk3,sk5) ),
inference(resolution,[status(thm)],[d6,d71]) ).
cnf(d73,plain,
( smaller(age(sk3,sk5),sigma)
| 'greater$uor$uequal'(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d72,d13]) ).
cnf(d74,plain,
( greater(sigma,age(sk3,sk5))
| 'greater$uor$uequal'(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d73,c49]) ).
cnf(d75,plain,
( 'greater$uor$uequal'(sigma,age(sk3,sk5))
| 'greater$uor$uequal'(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d74,c47]) ).
cnf(d76,plain,
( greater(sigma,age(sk3,sk5))
| age(sk3,sk5) = sigma ),
inference(resolution,[status(thm)],[d75,c46]) ).
cnf(d77,plain,
( ~ greater(X0,sigma)
| greater(X0,age(sk3,sk5))
| smaller(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d67,c52]) ).
cnf(d78,plain,
( smaller(sigma,age(sk3,sk5))
| greater(tau,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d77,d28]) ).
cnf(d79,plain,
( smaller(age(sk3,sk5),tau)
| smaller(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d78,c50]) ).
cnf(d80,plain,
( 'smaller$uor$uequal'(age(sk3,sk5),tau)
| smaller(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d79,c44]) ).
cnf(d81,plain,
( ~ 'positional$uadvantage'(sk3,sk5)
| ~ 'robust$uposition'(sk3)
| smaller(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d80,c15]) ).
cnf(d82,plain,
( smaller(sigma,age(sk3,sk5))
| ~ 'positional$uadvantage'(sk3,sk5) ),
inference(resolution,[status(thm)],[c32,d81]) ).
cnf(d83,plain,
( smaller(sigma,age(sk3,sk5))
| smaller(sigma,age(sk3,sk5)) ),
inference(resolution,[status(thm)],[d82,d65]) ).
cnf(d84,plain,
greater(age(sk3,sk5),sigma),
inference(resolution,[status(thm)],[d83,c49]) ).
cnf(d85,plain,
~ greater(sigma,age(sk3,sk5)),
inference(resolution,[status(thm)],[d84,c51]) ).
cnf(d86,plain,
age(sk3,sk5) = sigma,
inference(resolution,[status(thm)],[d85,d76]) ).
cnf(d87,plain,
greater(sigma,sigma),
inference(demodulation,[status(thm)],[d84,d86]) ).
cnf(d88,plain,
~ greater(sigma,sigma),
inference(demodulation,[status(thm)],[d85,d86]) ).
cnf(d89,plain,
$false,
inference(resolution,[status(thm)],[d88,d87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT063-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 % Computer : n018.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Sat Sep 26 00:13:05 UTC 2026
% 0.20/0.44 % CPUTime :
% 0.20/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 27.75/7.51 % SZS status Unsatisfiable for theBenchmark.p
% 27.75/7.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------