%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT055-1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:21 PM UTC 2026
% Result : Unsatisfiable 23.37s 14.29s
% Output : CNFRefutation 23.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 28
% Syntax : Number of clauses : 87 ( 35 unt; 18 nHn; 76 RR)
% Number of literals : 189 ( 21 equ; 94 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 : 108 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_8,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(lemma_8_67,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_67) ).
cnf(definition_1_39,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_39) ).
cnf(lemma_8_62,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_62) ).
cnf(lemma_8_60,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_60) ).
cnf(definition_smaller_or_equal_2,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(assumption_13_54,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_54) ).
cnf(lemma_8_61,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_61) ).
cnf(lemma_8_59,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_59) ).
cnf(assumption_2_45,axiom,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X2)
| ~ has_immunity(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_45) ).
cnf(assumption_15_57,axiom,
( greater(age(X1,X3),sigma)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_57) ).
cnf(definition_2_47,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_47) ).
cnf(definition_2_51,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_51) ).
cnf(assumption_15_56,axiom,
( dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ greater(age(X1,X3),sigma) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_56) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
cnf(lemma_8_66,negated_conjecture,
greater(sigma,eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_66) ).
cnf(lemma_8_68,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_68) ).
cnf(assumption_3_46,axiom,
( has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_46) ).
cnf(definition_1_40,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_40) ).
cnf(lemma_8_63,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_63) ).
cnf(assumption_16_58,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16_58) ).
cnf(assumption_14_55,axiom,
( is_aligned(X1,X3)
| greater(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14_55) ).
cnf(lemma_8_65,negated_conjecture,
greater(age(sk2,sk6),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_65) ).
cnf(definition_smaller_or_equal_1,axiom,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).
cnf(lemma_8_64,negated_conjecture,
smaller_or_equal(age(sk2,sk5),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_8_64) ).
cnf(definition_2_49,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_49) ).
cnf(definition_smaller_7,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
cnf(c_0_28,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8 ).
cnf(c_0_29,negated_conjecture,
greater(eta,zero),
lemma_8_67 ).
cnf(c_0_30,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
definition_1_39 ).
cnf(c_0_31,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
lemma_8_62 ).
cnf(c_0_32,negated_conjecture,
has_endowment(sk2),
lemma_8_60 ).
cnf(c_0_33,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2 ).
cnf(c_0_34,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
assumption_13_54 ).
cnf(c_0_36,negated_conjecture,
age(sk2,sk3) = zero,
lemma_8_61 ).
cnf(c_0_37,negated_conjecture,
organization(sk2),
lemma_8_59 ).
cnf(c_0_38,axiom,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X2)
| ~ has_immunity(X1,X3) ),
assumption_2_45 ).
cnf(c_0_39,negated_conjecture,
has_immunity(sk2,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
cnf(c_0_40,negated_conjecture,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,axiom,
( greater(age(X1,X3),sigma)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
assumption_15_57 ).
cnf(c_0_42,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
definition_2_47 ).
cnf(c_0_43,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
definition_2_51 ).
cnf(c_0_44,negated_conjecture,
is_aligned(sk2,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_45,negated_conjecture,
( hazard_of_mortality(sk2,X1) = hazard_of_mortality(sk2,sk4)
| ~ has_immunity(sk2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_37])]) ).
cnf(c_0_46,negated_conjecture,
has_immunity(sk2,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_36]),c_0_32]),c_0_40])]) ).
cnf(c_0_47,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( is_aligned(sk2,X1)
| dissimilar(sk2,sk3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_37])]) ).
cnf(c_0_49,axiom,
( dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ greater(age(X1,X3),sigma) ),
assumption_15_56 ).
cnf(c_0_50,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
meaning_postulate_greater_transitive_10 ).
cnf(c_0_51,negated_conjecture,
greater(sigma,eta),
lemma_8_66 ).
cnf(c_0_52,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
lemma_8_68 ).
cnf(c_0_53,negated_conjecture,
hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_54,axiom,
( has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_3_46 ).
cnf(c_0_55,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
definition_1_40 ).
cnf(c_0_56,negated_conjecture,
greater(age(sk2,sk5),eta),
lemma_8_63 ).
cnf(c_0_57,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2)) ),
assumption_16_58 ).
cnf(c_0_58,axiom,
( is_aligned(X1,X3)
| greater(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
assumption_14_55 ).
cnf(c_0_59,negated_conjecture,
( is_aligned(sk2,X1)
| greater(age(sk2,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_36])]) ).
cnf(c_0_60,negated_conjecture,
( dissimilar(sk2,sk3,X1)
| ~ greater(age(sk2,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_36]),c_0_37])]) ).
cnf(c_0_61,negated_conjecture,
greater(age(sk2,sk6),sigma),
lemma_8_65 ).
cnf(c_0_62,negated_conjecture,
( greater(X1,eta)
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_63,axiom,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
definition_smaller_or_equal_1 ).
cnf(c_0_64,negated_conjecture,
smaller_or_equal(age(sk2,sk5),sigma),
lemma_8_64 ).
cnf(c_0_65,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_66,negated_conjecture,
( has_immunity(sk2,X1)
| greater(hazard_of_mortality(sk2,X1),hazard_of_mortality(sk2,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_39]),c_0_37])]) ).
cnf(c_0_67,negated_conjecture,
~ has_immunity(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_32])]) ).
cnf(c_0_68,plain,
( has_immunity(X1,X2)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2)) ),
inference(csr,[status(thm)],[c_0_57,c_0_54]) ).
cnf(c_0_69,negated_conjecture,
( is_aligned(sk2,X1)
| greater(capability(sk2,X2),capability(sk2,X1))
| greater(age(sk2,X2),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_37])]) ).
cnf(c_0_70,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
definition_2_49 ).
cnf(c_0_71,negated_conjecture,
dissimilar(sk2,sk3,sk6),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_72,negated_conjecture,
greater(age(sk2,sk6),eta),
inference(spm,[status(thm)],[c_0_62,c_0_61]) ).
cnf(c_0_73,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
definition_smaller_7 ).
cnf(c_0_74,negated_conjecture,
( age(sk2,sk5) = sigma
| smaller(age(sk2,sk5),sigma) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_75,negated_conjecture,
~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
cnf(c_0_76,negated_conjecture,
( is_aligned(sk2,X1)
| has_immunity(sk2,X1)
| greater(hazard_of_mortality(sk2,X1),hazard_of_mortality(sk2,X2))
| greater(age(sk2,X2),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_37])]) ).
cnf(c_0_77,negated_conjecture,
~ is_aligned(sk2,sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_44])]) ).
cnf(c_0_78,negated_conjecture,
~ has_immunity(sk2,sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_72]),c_0_32])]) ).
cnf(c_0_79,axiom,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
meaning_postulate_greater_strict_9 ).
cnf(c_0_80,negated_conjecture,
( age(sk2,sk5) = sigma
| greater(sigma,age(sk2,sk5)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
greater(age(sk2,sk5),sigma),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_82,negated_conjecture,
( age(sk2,sk5) = sigma
| ~ greater(age(sk2,sk5),sigma) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_83,negated_conjecture,
~ greater(sigma,age(sk2,sk5)),
inference(spm,[status(thm)],[c_0_79,c_0_81]) ).
cnf(c_0_84,negated_conjecture,
age(sk2,sk5) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_81])]) ).
cnf(c_0_85,negated_conjecture,
~ greater(sigma,sigma),
inference(rw,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_84]),c_0_85]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT055-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n029.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.32 % WCLimit : 300
% 0.16/0.32 % DateTime : Mon May 4 23:30:44 EDT 2026
% 0.16/0.32 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 23.37/14.29 % Version : CSE_E---1.7
% 23.37/14.29 % Problem : theBenchmark.p
% 23.37/14.29 % SZS status Unsatisfiable for theBenchmark.p
% 23.37/14.29 % SZS output start CNFRefutation
% See solution above
% 23.47/14.38 % Total time : 10.384s
%------------------------------------------------------------------------------