%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT061-1 : 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 : n004.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 28.65s 6.77s
% Output : CNFRefutation 28.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 23
% Syntax : Number of clauses : 98 ( 30 unt; 30 nHn; 90 RR)
% Number of literals : 253 ( 28 equ; 107 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 76 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_1_39,axiom,
( ~ 'has$uimmunity'(X0,X1)
| 'has$uendowment'(X0)
| ~ organization(X0) ) ).
cnf(definition_2_42,axiom,
( ~ 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ) ).
cnf(definition_2_44,axiom,
( dissimilar(X0,X1,X2)
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_13_47,axiom,
( 'is$ualigned'(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_15_48,axiom,
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(assumption_15_49,axiom,
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ) ).
cnf(definition_3_50,axiom,
( 'positional$uadvantage'(X0,X1)
| ~ 'smaller$uor$uequal'(age(X0,X1),sigma)
| ~ 'fragile$uposition'(X0) ) ).
cnf(definition_3_51,axiom,
( ~ 'positional$uadvantage'(X0,X1)
| ~ greater(age(X0,X1),sigma)
| ~ 'fragile$uposition'(X0) ) ).
cnf(assumption_17_57,axiom,
( 'hazard$uof$umortality'(X0,X1) = low
| ~ 'positional$uadvantage'(X0,X1)
| ~ 'is$ualigned'(X0,X1)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_17_60,axiom,
( 'hazard$uof$umortality'(X0,X1) = high
| 'positional$uadvantage'(X0,X1)
| 'is$ualigned'(X0,X1)
| 'has$uimmunity'(X0,X1)
| ~ organization(X0) ) ).
cnf(assumption_18a_61,axiom,
greater(high,mod1) ).
cnf(assumption_18b_62,axiom,
greater(mod1,low) ).
cnf(theorem_7_66,negated_conjecture,
organization(sk2) ).
cnf(theorem_7_67,negated_conjecture,
'fragile$uposition'(sk2) ).
cnf(theorem_7_68,negated_conjecture,
~ 'has$uendowment'(sk2) ).
cnf(theorem_7_69,negated_conjecture,
age(sk2,sk3) = zero ).
cnf(theorem_7_70,negated_conjecture,
greater(sigma,zero) ).
cnf(theorem_7_71,negated_conjecture,
'smaller$uor$uequal'(age(sk2,sk4),sigma) ).
cnf(theorem_7_72,negated_conjecture,
greater(age(sk2,sk5),sigma) ).
cnf(theorem_7_73,negated_conjecture,
( 'hazard$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$uequal'(X0,X1)
| ~ smaller(X0,X1) ) ).
cnf(definition_smaller_8,axiom,
( smaller(X1,X0)
| ~ greater(X0,X1) ) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ) ).
cnf(c0,plain,
( ~ 'has$uimmunity'(X0,X1)
| ~ organization(X0)
| 'has$uendowment'(X0) ),
inference(clausification,[status(esa)],[assumption_1_39]) ).
cnf(c3,plain,
( ~ 'is$ualigned'(X0,X2)
| ~ dissimilar(X0,X1,X2)
| ~ 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[definition_2_42]) ).
cnf(c4,plain,
( dissimilar(X0,X2,X1)
| ~ 'is$ualigned'(X0,X2)
| ~ organization(X0)
| 'is$ualigned'(X0,X1) ),
inference(clausification,[status(esa)],[definition_2_44]) ).
cnf(c6,plain,
( 'is$ualigned'(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(clausification,[status(esa)],[assumption_13_47]) ).
cnf(c7,plain,
( dissimilar(X0,X2,X1)
| age(X0,X2) != zero
| ~ organization(X0)
| ~ greater(age(X0,X1),sigma) ),
inference(clausification,[status(esa)],[assumption_15_48]) ).
cnf(c8,plain,
( greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(clausification,[status(esa)],[assumption_15_49]) ).
cnf(c9,plain,
( 'positional$uadvantage'(X0,X1)
| ~ 'fragile$uposition'(X0)
| ~ 'smaller$uor$uequal'(age(X0,X1),sigma) ),
inference(clausification,[status(esa)],[definition_3_50]) ).
cnf(c10,plain,
( ~ 'positional$uadvantage'(X0,X1)
| ~ 'fragile$uposition'(X0)
| ~ greater(age(X0,X1),sigma) ),
inference(clausification,[status(esa)],[definition_3_51]) ).
cnf(c15,plain,
( ~ organization(X0)
| 'has$uimmunity'(X0,X1)
| ~ 'is$ualigned'(X0,X1)
| ~ 'positional$uadvantage'(X0,X1)
| 'hazard$uof$umortality'(X0,X1) = low ),
inference(clausification,[status(esa)],[assumption_17_57]) ).
cnf(c18,plain,
( ~ organization(X0)
| 'has$uimmunity'(X0,X1)
| 'is$ualigned'(X0,X1)
| 'positional$uadvantage'(X0,X1)
| 'hazard$uof$umortality'(X0,X1) = high ),
inference(clausification,[status(esa)],[assumption_17_60]) ).
cnf(c19,plain,
greater(high,mod1),
inference(clausification,[status(esa)],[assumption_18a_61]) ).
cnf(c20,plain,
greater(mod1,low),
inference(clausification,[status(esa)],[assumption_18b_62]) ).
cnf(c24,plain,
organization(sk2),
inference(clausification,[status(esa)],[theorem_7_66]) ).
cnf(c25,plain,
'fragile$uposition'(sk2),
inference(clausification,[status(esa)],[theorem_7_67]) ).
cnf(c26,plain,
~ 'has$uendowment'(sk2),
inference(clausification,[status(esa)],[theorem_7_68]) ).
cnf(c27,plain,
age(sk2,sk3) = zero,
inference(clausification,[status(esa)],[theorem_7_69]) ).
cnf(c28,plain,
greater(sigma,zero),
inference(clausification,[status(esa)],[theorem_7_70]) ).
cnf(c29,plain,
'smaller$uor$uequal'(age(sk2,sk4),sigma),
inference(clausification,[status(esa)],[theorem_7_71]) ).
cnf(c30,plain,
greater(age(sk2,sk5),sigma),
inference(clausification,[status(esa)],[theorem_7_72]) ).
cnf(c31,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_7_73]) ).
cnf(c33,plain,
( 'smaller$uor$uequal'(X0,X1)
| ~ smaller(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_or_equal_2]) ).
cnf(c39,plain,
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[definition_smaller_8]) ).
cnf(c41,plain,
( greater(X2,X1)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(clausification,[status(esa)],[meaning_postulate_greater_transitive_10]) ).
cnf(d0,plain,
( ~ 'positional$uadvantage'(sk2,X0)
| ~ 'is$ualigned'(sk2,X0)
| 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = low ),
inference(resolution,[status(thm)],[c15,c24]) ).
cnf(d1,plain,
( 'is$ualigned'(sk2,sk3)
| ~ organization(sk2)
| zero != zero ),
inference(superposition,[status(thm)],[c27,c6]) ).
cnf(d2,plain,
( 'is$ualigned'(sk2,sk3)
| zero != zero ),
inference(resolution,[status(thm)],[c24,d1]) ).
cnf(d3,plain,
'is$ualigned'(sk2,sk3),
inference(equality_resolution,[status(thm)],[d2]) ).
cnf(d4,plain,
( ~ 'positional$uadvantage'(sk2,sk3)
| 'has$uimmunity'(sk2,sk3)
| 'hazard$uof$umortality'(sk2,sk3) = low ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( 'positional$uadvantage'(sk2,sk3)
| ~ 'fragile$uposition'(sk2)
| ~ 'smaller$uor$uequal'(zero,sigma) ),
inference(superposition,[status(thm)],[c27,c9]) ).
cnf(d6,plain,
( 'positional$uadvantage'(sk2,sk3)
| ~ 'smaller$uor$uequal'(zero,sigma) ),
inference(resolution,[status(thm)],[c25,d5]) ).
cnf(d7,plain,
smaller(zero,sigma),
inference(resolution,[status(thm)],[c39,c28]) ).
cnf(d8,plain,
'smaller$uor$uequal'(zero,sigma),
inference(resolution,[status(thm)],[d7,c33]) ).
cnf(d9,plain,
'positional$uadvantage'(sk2,sk3),
inference(resolution,[status(thm)],[d8,d6]) ).
cnf(d10,plain,
( 'has$uimmunity'(sk2,sk3)
| 'hazard$uof$umortality'(sk2,sk3) = low ),
inference(resolution,[status(thm)],[d9,d4]) ).
cnf(d11,plain,
( 'has$uimmunity'(sk2,sk3)
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4))
| low != 'hazard$uof$umortality'(sk2,sk4) ),
inference(superposition,[status(thm)],[d10,c31]) ).
cnf(d12,plain,
( 'positional$uadvantage'(sk2,sk4)
| ~ 'fragile$uposition'(sk2) ),
inference(resolution,[status(thm)],[c29,c9]) ).
cnf(d13,plain,
'positional$uadvantage'(sk2,sk4),
inference(resolution,[status(thm)],[c25,d12]) ).
cnf(d14,plain,
( greater(age(sk2,X0),sigma)
| ~ dissimilar(sk2,sk3,X0)
| ~ organization(sk2)
| zero != zero ),
inference(superposition,[status(thm)],[c27,c8]) ).
cnf(d15,plain,
( greater(age(sk2,X0),sigma)
| ~ dissimilar(sk2,sk3,X0)
| zero != zero ),
inference(resolution,[status(thm)],[c24,d14]) ).
cnf(d16,plain,
( greater(age(sk2,X0),sigma)
| ~ dissimilar(sk2,sk3,X0) ),
inference(equality_resolution,[status(thm)],[d15]) ).
cnf(d17,plain,
( ~ 'is$ualigned'(sk2,X0)
| 'is$ualigned'(sk2,X1)
| dissimilar(sk2,X0,X1) ),
inference(resolution,[status(thm)],[c4,c24]) ).
cnf(d18,plain,
( 'is$ualigned'(sk2,X0)
| dissimilar(sk2,sk3,X0) ),
inference(resolution,[status(thm)],[d3,d17]) ).
cnf(d19,plain,
( greater(age(sk2,X0),sigma)
| 'is$ualigned'(sk2,X0) ),
inference(resolution,[status(thm)],[d18,d16]) ).
cnf(d20,plain,
( ~ 'positional$uadvantage'(sk2,X0)
| 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = low
| greater(age(sk2,X0),sigma) ),
inference(resolution,[status(thm)],[d19,d0]) ).
cnf(d21,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk4)
| 'hazard$uof$umortality'(sk2,sk4) = low ),
inference(resolution,[status(thm)],[d20,d13]) ).
cnf(d22,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk4)
| ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4))
| 'has$uimmunity'(sk2,sk3)
| low != low ),
inference(superposition,[status(thm)],[d21,d11]) ).
cnf(d23,plain,
( ~ greater('hazard$uof$umortality'(sk2,sk5),'hazard$uof$umortality'(sk2,sk4))
| greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk3) ),
inference(equality_resolution,[status(thm)],[d22]) ).
cnf(d24,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk4)
| greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk3)
| ~ greater('hazard$uof$umortality'(sk2,sk5),low) ),
inference(superposition,[status(thm)],[d21,d23]) ).
cnf(d25,plain,
( 'positional$uadvantage'(sk2,X0)
| 'is$ualigned'(sk2,X0)
| 'has$uimmunity'(sk2,X0)
| 'hazard$uof$umortality'(sk2,X0) = high ),
inference(resolution,[status(thm)],[c18,c24]) ).
cnf(d26,plain,
( 'positional$uadvantage'(sk2,sk5)
| 'is$ualigned'(sk2,sk5)
| 'has$uimmunity'(sk2,sk5)
| greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk3)
| ~ greater(high,low) ),
inference(superposition,[status(thm)],[d25,d24]) ).
cnf(d27,plain,
( ~ 'positional$uadvantage'(sk2,sk5)
| ~ 'fragile$uposition'(sk2) ),
inference(resolution,[status(thm)],[c30,c10]) ).
cnf(d28,plain,
~ 'positional$uadvantage'(sk2,sk5),
inference(resolution,[status(thm)],[c25,d27]) ).
cnf(d29,plain,
( ~ greater(high,low)
| greater(age(sk2,sk4),sigma)
| 'is$ualigned'(sk2,sk5)
| 'has$uimmunity'(sk2,sk5)
| 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk3) ),
inference(resolution,[status(thm)],[d28,d26]) ).
cnf(d30,plain,
( ~ greater(mod1,X0)
| greater(high,X0) ),
inference(resolution,[status(thm)],[c41,c19]) ).
cnf(d31,plain,
greater(high,low),
inference(resolution,[status(thm)],[d30,c20]) ).
cnf(d32,plain,
( greater(age(sk2,sk4),sigma)
| 'is$ualigned'(sk2,sk5)
| 'has$uimmunity'(sk2,sk5)
| 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk3) ),
inference(resolution,[status(thm)],[d31,d29]) ).
cnf(d33,plain,
( ~ greater(age(sk2,X0),sigma)
| dissimilar(sk2,sk3,X0)
| ~ organization(sk2)
| zero != zero ),
inference(superposition,[status(thm)],[c27,c7]) ).
cnf(d34,plain,
( ~ greater(age(sk2,X0),sigma)
| dissimilar(sk2,sk3,X0)
| zero != zero ),
inference(resolution,[status(thm)],[c24,d33]) ).
cnf(d35,plain,
( ~ greater(age(sk2,X0),sigma)
| dissimilar(sk2,sk3,X0) ),
inference(equality_resolution,[status(thm)],[d34]) ).
cnf(d36,plain,
dissimilar(sk2,sk3,sk5),
inference(resolution,[status(thm)],[d35,c30]) ).
cnf(d37,plain,
( ~ 'is$ualigned'(sk2,sk3)
| ~ 'is$ualigned'(sk2,sk5) ),
inference(resolution,[status(thm)],[d36,c3]) ).
cnf(d38,plain,
~ 'is$ualigned'(sk2,sk5),
inference(resolution,[status(thm)],[d3,d37]) ).
cnf(d39,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk5)
| 'has$uimmunity'(sk2,sk4)
| 'has$uimmunity'(sk2,sk3) ),
inference(resolution,[status(thm)],[d38,d32]) ).
cnf(d40,plain,
( 'has$uendowment'(sk2)
| ~ organization(sk2)
| greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk5)
| 'has$uimmunity'(sk2,sk4) ),
inference(resolution,[status(thm)],[d39,c0]) ).
cnf(d41,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uendowment'(sk2)
| 'has$uimmunity'(sk2,sk5)
| 'has$uimmunity'(sk2,sk4) ),
inference(resolution,[status(thm)],[c24,d40]) ).
cnf(d42,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk5)
| 'has$uimmunity'(sk2,sk4) ),
inference(resolution,[status(thm)],[c26,d41]) ).
cnf(d43,plain,
( 'has$uendowment'(sk2)
| ~ organization(sk2)
| greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk5) ),
inference(resolution,[status(thm)],[d42,c0]) ).
cnf(d44,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uendowment'(sk2)
| 'has$uimmunity'(sk2,sk5) ),
inference(resolution,[status(thm)],[c24,d43]) ).
cnf(d45,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uimmunity'(sk2,sk5) ),
inference(resolution,[status(thm)],[c26,d44]) ).
cnf(d46,plain,
( 'has$uendowment'(sk2)
| ~ organization(sk2)
| greater(age(sk2,sk4),sigma) ),
inference(resolution,[status(thm)],[d45,c0]) ).
cnf(d47,plain,
( greater(age(sk2,sk4),sigma)
| 'has$uendowment'(sk2) ),
inference(resolution,[status(thm)],[c24,d46]) ).
cnf(d48,plain,
greater(age(sk2,sk4),sigma),
inference(resolution,[status(thm)],[c26,d47]) ).
cnf(d49,plain,
( ~ 'positional$uadvantage'(sk2,sk4)
| ~ 'fragile$uposition'(sk2) ),
inference(resolution,[status(thm)],[d48,c10]) ).
cnf(d50,plain,
~ 'positional$uadvantage'(sk2,sk4),
inference(resolution,[status(thm)],[c25,d49]) ).
cnf(d51,plain,
$false,
inference(resolution,[status(thm)],[d13,d50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT061-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n004.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sat Sep 26 00:10:37 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.65/6.77 % SZS status Unsatisfiable for theBenchmark.p
% 28.65/6.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------