%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 : Thu Sep 24 08:50:46 AM UTC 2026
% Result : Unsatisfiable 253.05s 253.36s
% Output : Proof 254.06s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_1,axiom,
( A = B
| smaller(A,B)
| ~ smaller_or_equal(A,B) ),
file('MGT001-0.ax',definition_smaller_or_equal_1) ).
cnf(definition_smaller_or_equal_2,axiom,
( smaller_or_equal(A,B)
| ~ smaller(A,B) ),
file('MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(definition_smaller_or_equal_3,axiom,
( smaller_or_equal(A,B)
| A != B ),
file('MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(definition_greater_or_equal_4,axiom,
( A = B
| greater(A,B)
| ~ greater_or_equal(A,B) ),
file('MGT001-0.ax',definition_greater_or_equal_4) ).
cnf(definition_greater_or_equal_5,axiom,
( greater_or_equal(A,B)
| ~ greater(A,B) ),
file('MGT001-0.ax',definition_greater_or_equal_5) ).
cnf(definition_greater_or_equal_6,axiom,
( greater_or_equal(A,B)
| A != B ),
file('MGT001-0.ax',definition_greater_or_equal_6) ).
cnf(definition_smaller_7,axiom,
( greater(B,A)
| ~ smaller(A,B) ),
file('MGT001-0.ax',definition_smaller_7) ).
cnf(definition_smaller_8,axiom,
( smaller(B,A)
| ~ greater(A,B) ),
file('MGT001-0.ax',definition_smaller_8) ).
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(B,A)
| ~ greater(A,B) ),
file('MGT001-0.ax',meaning_postulate_greater_strict_9) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(A,C)
| ~ greater(B,C)
| ~ greater(A,B) ),
file('MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
cnf(meaning_postulate_greater_comparable_11,axiom,
( greater(A,B)
| A = B
| smaller(A,B) ),
file('MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
cnf(definition_1_38,axiom,
( organization(A)
| ~ has_endowment(A) ),
file('theBenchmark.p',definition_1_38) ).
cnf(definition_1_39,axiom,
( has_immunity(A,B)
| ~ smaller_or_equal(age(A,B),eta)
| ~ has_endowment(A) ),
file('theBenchmark.p',definition_1_39) ).
cnf(definition_1_40,axiom,
( ~ has_immunity(A,B)
| ~ greater(age(A,B),eta)
| ~ has_endowment(A) ),
file('theBenchmark.p',definition_1_40) ).
cnf(definition_1_41,axiom,
( has_endowment(A)
| greater(age(A,sk1(A)),eta)
| smaller_or_equal(age(A,sk1(A)),eta)
| ~ organization(A) ),
file('theBenchmark.p',definition_1_41) ).
cnf(definition_1_42,axiom,
( has_endowment(A)
| has_immunity(A,sk1(A))
| smaller_or_equal(age(A,sk1(A)),eta)
| ~ organization(A) ),
file('theBenchmark.p',definition_1_42) ).
cnf(definition_1_43,axiom,
( has_endowment(A)
| greater(age(A,sk1(A)),eta)
| ~ has_immunity(A,sk1(A))
| ~ organization(A) ),
file('theBenchmark.p',definition_1_43) ).
cnf(definition_1_44,axiom,
( has_endowment(A)
| has_immunity(A,sk1(A))
| ~ has_immunity(A,sk1(A))
| ~ organization(A) ),
file('theBenchmark.p',definition_1_44) ).
cnf(assumption_2_45,axiom,
( hazard_of_mortality(A,B) = hazard_of_mortality(A,C)
| ~ has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('theBenchmark.p',assumption_2_45) ).
cnf(assumption_3_46,axiom,
( greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B))
| has_immunity(A,C)
| ~ has_immunity(A,B)
| ~ organization(A) ),
file('theBenchmark.p',assumption_3_46) ).
cnf(definition_2_47,axiom,
( organization(A)
| ~ dissimilar(A,B,C) ),
file('theBenchmark.p',definition_2_47) ).
cnf(definition_2_48,axiom,
( is_aligned(A,C)
| is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('theBenchmark.p',definition_2_48) ).
cnf(definition_2_49,axiom,
( ~ is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ dissimilar(A,B,C) ),
file('theBenchmark.p',definition_2_49) ).
cnf(definition_2_50,axiom,
( dissimilar(A,B,C)
| is_aligned(A,B)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('theBenchmark.p',definition_2_50) ).
cnf(definition_2_51,axiom,
( dissimilar(A,B,C)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('theBenchmark.p',definition_2_51) ).
cnf(definition_2_52,axiom,
( dissimilar(A,C,B)
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('theBenchmark.p',definition_2_52) ).
cnf(definition_2_53,axiom,
( dissimilar(A,C,B)
| is_aligned(A,B)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('theBenchmark.p',definition_2_53) ).
cnf(assumption_13_54,axiom,
( is_aligned(A,B)
| age(A,B) != zero
| ~ organization(A) ),
file('theBenchmark.p',assumption_13_54) ).
cnf(assumption_14_55,axiom,
( greater(capability(A,B),capability(A,C))
| is_aligned(A,C)
| ~ is_aligned(A,B)
| ~ organization(A) ),
file('theBenchmark.p',assumption_14_55) ).
cnf(assumption_15_56,axiom,
( dissimilar(A,B,C)
| ~ greater(age(A,C),sigma)
| age(A,B) != zero
| ~ organization(A) ),
file('theBenchmark.p',assumption_15_56) ).
cnf(assumption_15_57,axiom,
( greater(age(A,C),sigma)
| ~ dissimilar(A,B,C)
| age(A,B) != zero
| ~ organization(A) ),
file('theBenchmark.p',assumption_15_57) ).
cnf(assumption_16_58,axiom,
( greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C))
| ~ greater(capability(A,C),capability(A,B))
| has_immunity(A,C)
| has_immunity(A,B)
| ~ organization(A) ),
file('theBenchmark.p',assumption_16_58) ).
cnf(lemma_8_59,negated_conjecture,
organization(sk2),
file('theBenchmark.p',lemma_8_59) ).
cnf(lemma_8_60,negated_conjecture,
has_endowment(sk2),
file('theBenchmark.p',lemma_8_60) ).
cnf(lemma_8_61,negated_conjecture,
age(sk2,sk3) = zero,
file('theBenchmark.p',lemma_8_61) ).
cnf(lemma_8_62,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('theBenchmark.p',lemma_8_62) ).
cnf(lemma_8_63,negated_conjecture,
greater(age(sk2,sk5),eta),
file('theBenchmark.p',lemma_8_63) ).
cnf(lemma_8_64,negated_conjecture,
smaller_or_equal(age(sk2,sk5),sigma),
file('theBenchmark.p',lemma_8_64) ).
cnf(lemma_8_65,negated_conjecture,
greater(age(sk2,sk6),sigma),
file('theBenchmark.p',lemma_8_65) ).
cnf(lemma_8_66,negated_conjecture,
greater(sigma,eta),
file('theBenchmark.p',lemma_8_66) ).
cnf(lemma_8_67,negated_conjecture,
greater(eta,zero),
file('theBenchmark.p',lemma_8_67) ).
cnf(lemma_8_68,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
file('theBenchmark.p',lemma_8_68) ).
cnf(definition_1_44_true,plain,
$true,
inference(clause_is_true,[status(thm)],[definition_1_44]) ).
cnf(definition_2_50_true,plain,
$true,
inference(clause_is_true,[status(thm)],[definition_2_50]) ).
cnf(definition_2_53_true,plain,
$true,
inference(clause_is_true,[status(thm)],[definition_2_53]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( age(Eq_x_0,Eq_x_1) = age(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( sk1(Eq_x_0) = sk1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( hazard_of_mortality(Eq_x_0,Eq_x_1) = hazard_of_mortality(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( capability(Eq_x_0,Eq_x_1) = capability(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( smaller_or_equal(Eq_y_0,Eq_y_1)
| ~ smaller_or_equal(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_9,axiom,
( smaller(Eq_y_0,Eq_y_1)
| ~ smaller(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( greater_or_equal(Eq_y_0,Eq_y_1)
| ~ greater_or_equal(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( greater(Eq_y_0,Eq_y_1)
| ~ greater(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( has_endowment(Eq_y_0)
| ~ has_endowment(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( organization(Eq_y_0)
| ~ organization(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( has_immunity(Eq_y_0,Eq_y_1)
| ~ has_immunity(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( dissimilar(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ dissimilar(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( is_aligned(Eq_y_0,Eq_y_1)
| ~ is_aligned(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 19 16:20:34 UTC 2026
% 0.09/0.37 % CPUTime :
% 253.05/253.36 % SZS status Unsatisfiable for theBenchmark
% 253.05/253.36 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------