TSTP Solution File: MGT047-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT047-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 : 600s
% DateTime : Sun Jul 17 22:19:51 EDT 2022
% Result : Unsatisfiable 254.94s 255.16s
% Output : CNFRefutation 254.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 41
% Syntax : Number of clauses : 210 ( 34 unt; 91 nHn; 178 RR)
% Number of literals : 544 ( 180 equ; 195 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 133 ( 14 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_1,axiom,
( ~ smaller_or_equal(A,B)
| smaller(A,B)
| A = B ) ).
cnf(definition_smaller_or_equal_2,axiom,
( ~ smaller(A,B)
| smaller_or_equal(A,B) ) ).
cnf(definition_smaller_or_equal_3,axiom,
( A != B
| smaller_or_equal(A,B) ) ).
cnf(definition_greater_or_equal_5,axiom,
( ~ greater(A,B)
| greater_or_equal(A,B) ) ).
cnf(definition_smaller_7,axiom,
( ~ smaller(A,B)
| greater(B,A) ) ).
cnf(definition_smaller_8,axiom,
( ~ greater(A,B)
| smaller(B,A) ) ).
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(A,B)
| ~ greater(B,A) ) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( ~ greater(A,B)
| ~ greater(B,C)
| greater(A,C) ) ).
cnf(meaning_postulate_greater_comparable_11,axiom,
( smaller(A,B)
| A = B
| greater(A,B) ) ).
cnf(definition_1_42,axiom,
( ~ has_endowment(A)
| ~ smaller_or_equal(age(A,B),eta)
| has_immunity(A,B) ) ).
cnf(definition_1_43,axiom,
( ~ has_endowment(A)
| ~ greater(age(A,B),eta)
| ~ has_immunity(A,B) ) ).
cnf(assumption_2_48,axiom,
( ~ organization(A)
| ~ has_immunity(A,B)
| ~ has_immunity(A,C)
| hazard_of_mortality(A,B) = hazard_of_mortality(A,C) ) ).
cnf(assumption_3_49,axiom,
( ~ organization(A)
| ~ has_immunity(A,B)
| has_immunity(A,C)
| greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
cnf(assumption_4_50,axiom,
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| ~ greater(capability(A,C),capability(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
cnf(assumption_5_53,axiom,
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) ) ).
cnf(assumption_6_56,axiom,
( ~ organization(A)
| ~ greater(external_ties(A,B),external_ties(A,C))
| greater(position(A,B),position(A,C)) ) ).
cnf(assumption_7_58,axiom,
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) ).
cnf(assumption_8_59,axiom,
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(external_ties(A,B),external_ties(A,C)) ) ).
cnf(assumption_9_60,axiom,
( ~ organization(A)
| internal_friction(A,B) = internal_friction(A,C) ) ).
cnf(theorem_2_61,negated_conjecture,
organization(sk2) ).
cnf(theorem_2_62,negated_conjecture,
has_endowment(sk2) ).
cnf(theorem_2_63,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)) ).
cnf(theorem_2_64,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta) ).
cnf(theorem_2_65,negated_conjecture,
greater(age(sk2,sk5),eta) ).
cnf(theorem_2_66,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)) ).
cnf(theorem_2_67,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ) ).
cnf(refute_0_0,plain,
( ~ has_endowment(sk2)
| ~ smaller_or_equal(age(sk2,sk4),eta)
| has_immunity(sk2,sk4) ),
inference(subst,[],[definition_1_42:[bind(A,$fot(sk2)),bind(B,$fot(sk4))]]) ).
cnf(refute_0_1,plain,
( ~ has_endowment(sk2)
| has_immunity(sk2,sk4) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk4),eta) )],[theorem_2_64,refute_0_0]) ).
cnf(refute_0_2,plain,
has_immunity(sk2,sk4),
inference(resolve,[$cnf( has_endowment(sk2) )],[theorem_2_62,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ has_immunity(sk2,sk4)
| ~ organization(sk2)
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X_199) ),
inference(subst,[],[assumption_3_49:[bind(A,$fot(sk2)),bind(B,$fot(sk4)),bind(C,$fot(X_199))]]) ).
cnf(refute_0_4,plain,
( ~ organization(sk2)
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X_199) ),
inference(resolve,[$cnf( has_immunity(sk2,sk4) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X_199) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ has_immunity(sk2,X_193)
| ~ has_immunity(sk2,sk4)
| ~ organization(sk2)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X_193) ),
inference(subst,[],[assumption_2_48:[bind(A,$fot(sk2)),bind(B,$fot(sk4)),bind(C,$fot(X_193))]]) ).
cnf(refute_0_7,plain,
( ~ has_immunity(sk2,X_193)
| ~ organization(sk2)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X_193) ),
inference(resolve,[$cnf( has_immunity(sk2,sk4) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ has_immunity(sk2,X_193)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X_193) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ has_immunity(sk2,sk3)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(subst,[],[refute_0_8:[bind(X_193,$fot(sk3))]]) ).
cnf(refute_0_10,plain,
( ~ has_endowment(sk2)
| ~ smaller_or_equal(age(sk2,sk3),eta)
| has_immunity(sk2,sk3) ),
inference(subst,[],[definition_1_42:[bind(A,$fot(sk2)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_11,plain,
( ~ greater(age(sk2,sk4),eta)
| ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk4) ),
inference(subst,[],[definition_1_43:[bind(A,$fot(sk2)),bind(B,$fot(sk4))]]) ).
cnf(refute_0_12,plain,
( ~ smaller(age(sk2,sk3),age(sk2,sk4))
| greater(age(sk2,sk4),age(sk2,sk3)) ),
inference(subst,[],[definition_smaller_7:[bind(A,$fot(age(sk2,sk3))),bind(B,$fot(age(sk2,sk4)))]]) ).
cnf(refute_0_13,plain,
( ~ smaller_or_equal(age(sk2,sk3),age(sk2,sk4))
| age(sk2,sk3) = age(sk2,sk4)
| smaller(age(sk2,sk3),age(sk2,sk4)) ),
inference(subst,[],[definition_smaller_or_equal_1:[bind(A,$fot(age(sk2,sk3))),bind(B,$fot(age(sk2,sk4)))]]) ).
cnf(refute_0_14,plain,
( age(sk2,sk3) = age(sk2,sk4)
| smaller(age(sk2,sk3),age(sk2,sk4)) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk3),age(sk2,sk4)) )],[theorem_2_63,refute_0_13]) ).
cnf(refute_0_15,plain,
( age(sk2,sk3) = age(sk2,sk4)
| greater(age(sk2,sk4),age(sk2,sk3)) ),
inference(resolve,[$cnf( smaller(age(sk2,sk3),age(sk2,sk4)) )],[refute_0_14,refute_0_12]) ).
cnf(refute_0_16,plain,
( ~ greater(age(sk2,sk3),X_31)
| ~ greater(age(sk2,sk4),age(sk2,sk3))
| greater(age(sk2,sk4),X_31) ),
inference(subst,[],[meaning_postulate_greater_transitive_10:[bind(A,$fot(age(sk2,sk4))),bind(B,$fot(age(sk2,sk3))),bind(C,$fot(X_31))]]) ).
cnf(refute_0_17,plain,
( ~ greater(age(sk2,sk3),X_31)
| age(sk2,sk3) = age(sk2,sk4)
| greater(age(sk2,sk4),X_31) ),
inference(resolve,[$cnf( greater(age(sk2,sk4),age(sk2,sk3)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ greater(age(sk2,sk3),eta)
| age(sk2,sk3) = age(sk2,sk4)
| greater(age(sk2,sk4),eta) ),
inference(subst,[],[refute_0_17:[bind(X_31,$fot(eta))]]) ).
cnf(refute_0_19,plain,
( ~ smaller(X_23,X_24)
| smaller_or_equal(X_23,X_24) ),
inference(subst,[],[definition_smaller_or_equal_2:[bind(A,$fot(X_23)),bind(B,$fot(X_24))]]) ).
cnf(refute_0_20,plain,
( X_23 = X_24
| greater(X_23,X_24)
| smaller(X_23,X_24) ),
inference(subst,[],[meaning_postulate_greater_comparable_11:[bind(A,$fot(X_23)),bind(B,$fot(X_24))]]) ).
cnf(refute_0_21,plain,
( X_23 = X_24
| greater(X_23,X_24)
| smaller_or_equal(X_23,X_24) ),
inference(resolve,[$cnf( smaller(X_23,X_24) )],[refute_0_20,refute_0_19]) ).
cnf(refute_0_22,plain,
( age(A,B) = eta
| greater(age(A,B),eta)
| smaller_or_equal(age(A,B),eta) ),
inference(subst,[],[refute_0_21:[bind(X_23,$fot(age(A,B))),bind(X_24,$fot(eta))]]) ).
cnf(refute_0_23,plain,
( ~ has_endowment(A)
| age(A,B) = eta
| greater(age(A,B),eta)
| has_immunity(A,B) ),
inference(resolve,[$cnf( smaller_or_equal(age(A,B),eta) )],[refute_0_22,definition_1_42]) ).
cnf(refute_0_24,plain,
( ~ has_endowment(sk2)
| age(sk2,X_69) = eta
| greater(age(sk2,X_69),eta)
| has_immunity(sk2,X_69) ),
inference(subst,[],[refute_0_23:[bind(A,$fot(sk2)),bind(B,$fot(X_69))]]) ).
cnf(refute_0_25,plain,
( age(sk2,X_69) = eta
| greater(age(sk2,X_69),eta)
| has_immunity(sk2,X_69) ),
inference(resolve,[$cnf( has_endowment(sk2) )],[theorem_2_62,refute_0_24]) ).
cnf(refute_0_26,plain,
( age(sk2,sk3) = eta
| greater(age(sk2,sk3),eta)
| has_immunity(sk2,sk3) ),
inference(subst,[],[refute_0_25:[bind(X_69,$fot(sk3))]]) ).
cnf(refute_0_27,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| greater(age(sk2,sk4),eta)
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( greater(age(sk2,sk3),eta) )],[refute_0_26,refute_0_18]) ).
cnf(refute_0_28,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk4)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( greater(age(sk2,sk4),eta) )],[refute_0_27,refute_0_11]) ).
cnf(refute_0_29,plain,
( ~ has_immunity(sk2,sk4)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( has_endowment(sk2) )],[theorem_2_62,refute_0_28]) ).
cnf(refute_0_30,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( has_immunity(sk2,sk4) )],[refute_0_2,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ has_immunity(sk2,sk3)
| ~ organization(sk2)
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,X_199) ),
inference(subst,[],[assumption_3_49:[bind(A,$fot(sk2)),bind(B,$fot(sk3)),bind(C,$fot(X_199))]]) ).
cnf(refute_0_32,plain,
( ~ organization(sk2)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,X_199) ),
inference(resolve,[$cnf( has_immunity(sk2,sk3) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,X_199) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_32]) ).
cnf(refute_0_34,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6) ),
inference(subst,[],[refute_0_33:[bind(X_199,$fot(sk6))]]) ).
cnf(refute_0_35,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4)) ),
introduced(tautology,[equality,[$cnf( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4)) ),[1],$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_36,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4)) )],[refute_0_35,theorem_2_67]) ).
cnf(refute_0_37,plain,
( ~ smaller(X_23,X_24)
| greater(X_24,X_23) ),
inference(subst,[],[definition_smaller_7:[bind(A,$fot(X_23)),bind(B,$fot(X_24))]]) ).
cnf(refute_0_38,plain,
( X_23 = X_24
| greater(X_23,X_24)
| greater(X_24,X_23) ),
inference(resolve,[$cnf( smaller(X_23,X_24) )],[refute_0_20,refute_0_37]) ).
cnf(refute_0_39,plain,
( hazard_of_mortality(sk2,X_206) = X_205
| greater(X_205,hazard_of_mortality(sk2,X_206))
| greater(hazard_of_mortality(sk2,X_206),X_205) ),
inference(subst,[],[refute_0_38:[bind(X_23,$fot(hazard_of_mortality(sk2,X_206))),bind(X_24,$fot(X_205))]]) ).
cnf(refute_0_40,plain,
( ~ greater(A,hazard_of_mortality(sk2,X_200))
| ~ greater(hazard_of_mortality(sk2,X_200),hazard_of_mortality(sk2,sk4))
| greater(A,hazard_of_mortality(sk2,sk4)) ),
inference(subst,[],[meaning_postulate_greater_transitive_10:[bind(B,$fot(hazard_of_mortality(sk2,X_200))),bind(C,$fot(hazard_of_mortality(sk2,sk4)))]]) ).
cnf(refute_0_41,plain,
( greater(hazard_of_mortality(sk2,X_200),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X_200) ),
inference(subst,[],[refute_0_5:[bind(X_199,$fot(X_200))]]) ).
cnf(refute_0_42,plain,
( ~ greater(A,hazard_of_mortality(sk2,X_200))
| greater(A,hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X_200) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,X_200),hazard_of_mortality(sk2,sk4)) )],[refute_0_41,refute_0_40]) ).
cnf(refute_0_43,plain,
( ~ greater(X_205,hazard_of_mortality(sk2,X_206))
| greater(X_205,hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,X_206) ),
inference(subst,[],[refute_0_42:[bind(A,$fot(X_205)),bind(X_200,$fot(X_206))]]) ).
cnf(refute_0_44,plain,
( hazard_of_mortality(sk2,X_206) = X_205
| greater(X_205,hazard_of_mortality(sk2,sk4))
| greater(hazard_of_mortality(sk2,X_206),X_205)
| has_immunity(sk2,X_206) ),
inference(resolve,[$cnf( greater(X_205,hazard_of_mortality(sk2,X_206)) )],[refute_0_39,refute_0_43]) ).
cnf(refute_0_45,plain,
( hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3)
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk4))
| greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6) ),
inference(subst,[],[refute_0_44:[bind(X_205,$fot(hazard_of_mortality(sk2,sk3))),bind(X_206,$fot(sk6))]]) ).
cnf(refute_0_46,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3)
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) )],[refute_0_45,refute_0_36]) ).
cnf(refute_0_47,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk4))
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
introduced(tautology,[equality,[$cnf( greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk4)) ),[1],$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_48,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3)
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk4)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
~ greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)),
inference(subst,[],[meaning_postulate_greater_strict_9:[bind(A,$fot(hazard_of_mortality(sk2,sk3))),bind(B,$fot(hazard_of_mortality(sk2,sk3)))]]) ).
cnf(refute_0_50,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3)
| has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ greater(age(sk2,sk6),eta)
| ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk6) ),
inference(subst,[],[definition_1_43:[bind(A,$fot(sk2)),bind(B,$fot(sk6))]]) ).
cnf(refute_0_52,plain,
( ~ greater(X_29,age(sk2,sk5))
| ~ greater(age(sk2,sk5),eta)
| greater(X_29,eta) ),
inference(subst,[],[meaning_postulate_greater_transitive_10:[bind(A,$fot(X_29)),bind(B,$fot(age(sk2,sk5))),bind(C,$fot(eta))]]) ).
cnf(refute_0_53,plain,
( ~ greater(X_29,age(sk2,sk5))
| greater(X_29,eta) ),
inference(resolve,[$cnf( greater(age(sk2,sk5),eta) )],[theorem_2_65,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ greater(age(sk2,sk6),age(sk2,sk5))
| greater(age(sk2,sk6),eta) ),
inference(subst,[],[refute_0_53:[bind(X_29,$fot(age(sk2,sk6)))]]) ).
cnf(refute_0_55,plain,
greater(age(sk2,sk6),eta),
inference(resolve,[$cnf( greater(age(sk2,sk6),age(sk2,sk5)) )],[theorem_2_66,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(age(sk2,sk6),eta) )],[refute_0_55,refute_0_51]) ).
cnf(refute_0_57,plain,
~ has_immunity(sk2,sk6),
inference(resolve,[$cnf( has_endowment(sk2) )],[theorem_2_62,refute_0_56]) ).
cnf(refute_0_58,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( has_immunity(sk2,sk6) )],[refute_0_50,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
inference(subst,[],[definition_smaller_7:[bind(A,$fot(hazard_of_mortality(sk2,sk6))),bind(B,$fot(hazard_of_mortality(sk2,sk5)))]]) ).
cnf(refute_0_60,plain,
( ~ greater(position(sk2,sk6),position(sk2,sk5))
| greater_or_equal(position(sk2,sk6),position(sk2,sk5)) ),
inference(subst,[],[definition_greater_or_equal_5:[bind(A,$fot(position(sk2,sk6))),bind(B,$fot(position(sk2,sk5)))]]) ).
cnf(refute_0_61,plain,
( ~ greater(external_ties(sk2,sk6),external_ties(sk2,sk5))
| ~ organization(sk2)
| greater(position(sk2,sk6),position(sk2,sk5)) ),
inference(subst,[],[assumption_6_56:[bind(A,$fot(sk2)),bind(B,$fot(sk6)),bind(C,$fot(sk5))]]) ).
cnf(refute_0_62,plain,
( ~ greater(age(sk2,sk6),age(sk2,sk5))
| ~ organization(sk2)
| greater(external_ties(sk2,sk6),external_ties(sk2,sk5)) ),
inference(subst,[],[assumption_8_59:[bind(A,$fot(sk2)),bind(B,$fot(sk6)),bind(C,$fot(sk5))]]) ).
cnf(refute_0_63,plain,
( ~ organization(sk2)
| greater(external_ties(sk2,sk6),external_ties(sk2,sk5)) ),
inference(resolve,[$cnf( greater(age(sk2,sk6),age(sk2,sk5)) )],[theorem_2_66,refute_0_62]) ).
cnf(refute_0_64,plain,
greater(external_ties(sk2,sk6),external_ties(sk2,sk5)),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ organization(sk2)
| greater(position(sk2,sk6),position(sk2,sk5)) ),
inference(resolve,[$cnf( greater(external_ties(sk2,sk6),external_ties(sk2,sk5)) )],[refute_0_64,refute_0_61]) ).
cnf(refute_0_66,plain,
greater(position(sk2,sk6),position(sk2,sk5)),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_65]) ).
cnf(refute_0_67,plain,
greater_or_equal(position(sk2,sk6),position(sk2,sk5)),
inference(resolve,[$cnf( greater(position(sk2,sk6),position(sk2,sk5)) )],[refute_0_66,refute_0_60]) ).
cnf(refute_0_68,plain,
( ~ greater(capability(sk2,sk6),capability(sk2,sk5))
| ~ greater_or_equal(position(sk2,sk6),position(sk2,sk5))
| ~ organization(sk2)
| has_immunity(sk2,sk5)
| has_immunity(sk2,sk6)
| smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(subst,[],[assumption_4_50:[bind(A,$fot(sk2)),bind(B,$fot(sk5)),bind(C,$fot(sk6))]]) ).
cnf(refute_0_69,plain,
( ~ greater(capability(sk2,sk6),capability(sk2,sk5))
| ~ organization(sk2)
| has_immunity(sk2,sk5)
| has_immunity(sk2,sk6)
| smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(resolve,[$cnf( greater_or_equal(position(sk2,sk6),position(sk2,sk5)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( ~ greater(age(sk2,sk6),age(sk2,sk5))
| ~ organization(sk2)
| greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)) ),
inference(subst,[],[assumption_7_58:[bind(A,$fot(sk2)),bind(B,$fot(sk6)),bind(C,$fot(sk5))]]) ).
cnf(refute_0_71,plain,
( ~ organization(sk2)
| greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)) ),
inference(resolve,[$cnf( greater(age(sk2,sk6),age(sk2,sk5)) )],[theorem_2_66,refute_0_70]) ).
cnf(refute_0_72,plain,
greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_71]) ).
cnf(refute_0_73,plain,
( B != B
| smaller_or_equal(B,B) ),
inference(subst,[],[definition_smaller_or_equal_3:[bind(A,$fot(B))]]) ).
cnf(refute_0_74,plain,
B = B,
introduced(tautology,[refl,[$fot(B)]]) ).
cnf(refute_0_75,plain,
smaller_or_equal(B,B),
inference(resolve,[$cnf( $equal(B,B) )],[refute_0_74,refute_0_73]) ).
cnf(refute_0_76,plain,
smaller_or_equal(internal_friction(sk2,X_437),internal_friction(sk2,X_437)),
inference(subst,[],[refute_0_75:[bind(B,$fot(internal_friction(sk2,X_437)))]]) ).
cnf(refute_0_77,plain,
( ~ greater(stock_of_knowledge(sk2,X_433),stock_of_knowledge(sk2,X_434))
| ~ organization(sk2)
| ~ smaller_or_equal(internal_friction(sk2,X_433),internal_friction(sk2,X_434))
| greater(capability(sk2,X_433),capability(sk2,X_434)) ),
inference(subst,[],[assumption_5_53:[bind(A,$fot(sk2)),bind(B,$fot(X_433)),bind(C,$fot(X_434))]]) ).
cnf(refute_0_78,plain,
( ~ organization(sk2)
| internal_friction(sk2,X_15) = internal_friction(sk2,X_16) ),
inference(subst,[],[assumption_9_60:[bind(A,$fot(sk2)),bind(B,$fot(X_15)),bind(C,$fot(X_16))]]) ).
cnf(refute_0_79,plain,
internal_friction(sk2,X_15) = internal_friction(sk2,X_16),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_78]) ).
cnf(refute_0_80,plain,
internal_friction(sk2,X_15) = internal_friction(sk2,X_433),
inference(subst,[],[refute_0_79:[bind(X_16,$fot(X_433))]]) ).
cnf(refute_0_81,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_82,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_83,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
( internal_friction(sk2,X_15) != internal_friction(sk2,X_433)
| internal_friction(sk2,X_433) = internal_friction(sk2,X_15) ),
inference(subst,[],[refute_0_83:[bind(X,$fot(internal_friction(sk2,X_15))),bind(Y,$fot(internal_friction(sk2,X_433)))]]) ).
cnf(refute_0_85,plain,
internal_friction(sk2,X_433) = internal_friction(sk2,X_15),
inference(resolve,[$cnf( $equal(internal_friction(sk2,X_15),internal_friction(sk2,X_433)) )],[refute_0_80,refute_0_84]) ).
cnf(refute_0_86,plain,
( internal_friction(sk2,X_433) != internal_friction(sk2,X_15)
| ~ smaller_or_equal(internal_friction(sk2,X_15),internal_friction(sk2,X_434))
| smaller_or_equal(internal_friction(sk2,X_433),internal_friction(sk2,X_434)) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(internal_friction(sk2,X_433),internal_friction(sk2,X_434)) ),[0],$fot(internal_friction(sk2,X_15))]]) ).
cnf(refute_0_87,plain,
( ~ smaller_or_equal(internal_friction(sk2,X_15),internal_friction(sk2,X_434))
| smaller_or_equal(internal_friction(sk2,X_433),internal_friction(sk2,X_434)) ),
inference(resolve,[$cnf( $equal(internal_friction(sk2,X_433),internal_friction(sk2,X_15)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
( ~ greater(stock_of_knowledge(sk2,X_433),stock_of_knowledge(sk2,X_434))
| ~ organization(sk2)
| ~ smaller_or_equal(internal_friction(sk2,X_15),internal_friction(sk2,X_434))
| greater(capability(sk2,X_433),capability(sk2,X_434)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(sk2,X_433),internal_friction(sk2,X_434)) )],[refute_0_87,refute_0_77]) ).
cnf(refute_0_89,plain,
( ~ greater(stock_of_knowledge(sk2,X_433),stock_of_knowledge(sk2,X_434))
| ~ smaller_or_equal(internal_friction(sk2,X_15),internal_friction(sk2,X_434))
| greater(capability(sk2,X_433),capability(sk2,X_434)) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ greater(stock_of_knowledge(sk2,X_436),stock_of_knowledge(sk2,X_437))
| ~ smaller_or_equal(internal_friction(sk2,X_437),internal_friction(sk2,X_437))
| greater(capability(sk2,X_436),capability(sk2,X_437)) ),
inference(subst,[],[refute_0_89:[bind(X_15,$fot(X_437)),bind(X_433,$fot(X_436)),bind(X_434,$fot(X_437))]]) ).
cnf(refute_0_91,plain,
( ~ greater(stock_of_knowledge(sk2,X_436),stock_of_knowledge(sk2,X_437))
| greater(capability(sk2,X_436),capability(sk2,X_437)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(sk2,X_437),internal_friction(sk2,X_437)) )],[refute_0_76,refute_0_90]) ).
cnf(refute_0_92,plain,
( ~ greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5))
| greater(capability(sk2,sk6),capability(sk2,sk5)) ),
inference(subst,[],[refute_0_91:[bind(X_436,$fot(sk6)),bind(X_437,$fot(sk5))]]) ).
cnf(refute_0_93,plain,
greater(capability(sk2,sk6),capability(sk2,sk5)),
inference(resolve,[$cnf( greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)) )],[refute_0_72,refute_0_92]) ).
cnf(refute_0_94,plain,
( ~ organization(sk2)
| has_immunity(sk2,sk5)
| has_immunity(sk2,sk6)
| smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(resolve,[$cnf( greater(capability(sk2,sk6),capability(sk2,sk5)) )],[refute_0_93,refute_0_69]) ).
cnf(refute_0_95,plain,
( has_immunity(sk2,sk5)
| has_immunity(sk2,sk6)
| smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_94]) ).
cnf(refute_0_96,plain,
( ~ greater(age(sk2,sk5),eta)
| ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk5) ),
inference(subst,[],[definition_1_43:[bind(A,$fot(sk2)),bind(B,$fot(sk5))]]) ).
cnf(refute_0_97,plain,
( ~ has_endowment(sk2)
| ~ has_immunity(sk2,sk5) ),
inference(resolve,[$cnf( greater(age(sk2,sk5),eta) )],[theorem_2_65,refute_0_96]) ).
cnf(refute_0_98,plain,
~ has_immunity(sk2,sk5),
inference(resolve,[$cnf( has_endowment(sk2) )],[theorem_2_62,refute_0_97]) ).
cnf(refute_0_99,plain,
( has_immunity(sk2,sk6)
| smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(resolve,[$cnf( has_immunity(sk2,sk5) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
inference(resolve,[$cnf( has_immunity(sk2,sk6) )],[refute_0_99,refute_0_57]) ).
cnf(refute_0_101,plain,
greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)),
inference(resolve,[$cnf( smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) )],[refute_0_100,refute_0_59]) ).
cnf(refute_0_102,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) )],[refute_0_101,refute_0_58]) ).
cnf(refute_0_103,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( has_immunity(sk2,sk3) )],[refute_0_30,refute_0_9]) ).
cnf(refute_0_104,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(tautology,[equality,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) ),[1],$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_105,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_105,refute_0_102]) ).
cnf(refute_0_107,plain,
hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk3),
introduced(tautology,[refl,[$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_108,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_107,refute_0_106]) ).
cnf(refute_0_109,plain,
( hazard_of_mortality(sk2,sk6) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
introduced(tautology,[equality,[$cnf( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) ),[0],$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_110,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) )],[refute_0_34,refute_0_110]) ).
cnf(refute_0_112,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta
| has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_111,refute_0_49]) ).
cnf(refute_0_113,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk3) = eta ),
inference(resolve,[$cnf( has_immunity(sk2,sk6) )],[refute_0_112,refute_0_57]) ).
cnf(refute_0_114,plain,
( ~ smaller(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3))
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
inference(subst,[],[definition_smaller_7:[bind(A,$fot(hazard_of_mortality(sk2,sk3))),bind(B,$fot(hazard_of_mortality(sk2,sk3)))]]) ).
cnf(refute_0_115,plain,
( ~ greater(hazard_of_mortality(sk2,X_200),hazard_of_mortality(sk2,sk4))
| smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,X_200)) ),
inference(subst,[],[definition_smaller_8:[bind(A,$fot(hazard_of_mortality(sk2,X_200))),bind(B,$fot(hazard_of_mortality(sk2,sk4)))]]) ).
cnf(refute_0_116,plain,
( has_immunity(sk2,X_200)
| smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,X_200)) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,X_200),hazard_of_mortality(sk2,sk4)) )],[refute_0_41,refute_0_115]) ).
cnf(refute_0_117,plain,
( has_immunity(sk2,sk6)
| smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk6)) ),
inference(subst,[],[refute_0_116:[bind(X_200,$fot(sk6))]]) ).
cnf(refute_0_118,plain,
( ~ smaller(age(sk2,sk3),eta)
| smaller_or_equal(age(sk2,sk3),eta) ),
inference(subst,[],[definition_smaller_or_equal_2:[bind(A,$fot(age(sk2,sk3))),bind(B,$fot(eta))]]) ).
cnf(refute_0_119,plain,
( ~ greater(eta,age(sk2,sk3))
| smaller(age(sk2,sk3),eta) ),
inference(subst,[],[definition_smaller_8:[bind(A,$fot(eta)),bind(B,$fot(age(sk2,sk3)))]]) ).
cnf(refute_0_120,plain,
( ~ smaller(age(sk2,sk4),eta)
| greater(eta,age(sk2,sk4)) ),
inference(subst,[],[definition_smaller_7:[bind(A,$fot(age(sk2,sk4))),bind(B,$fot(eta))]]) ).
cnf(refute_0_121,plain,
( ~ smaller_or_equal(age(sk2,sk4),eta)
| age(sk2,sk4) = eta
| smaller(age(sk2,sk4),eta) ),
inference(subst,[],[definition_smaller_or_equal_1:[bind(A,$fot(age(sk2,sk4))),bind(B,$fot(eta))]]) ).
cnf(refute_0_122,plain,
( age(sk2,sk4) = eta
| smaller(age(sk2,sk4),eta) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk4),eta) )],[theorem_2_64,refute_0_121]) ).
cnf(refute_0_123,plain,
( age(sk2,sk4) = eta
| greater(eta,age(sk2,sk4)) ),
inference(resolve,[$cnf( smaller(age(sk2,sk4),eta) )],[refute_0_122,refute_0_120]) ).
cnf(refute_0_124,plain,
( ~ greater(X_29,age(sk2,sk4))
| ~ greater(age(sk2,sk4),age(sk2,sk3))
| greater(X_29,age(sk2,sk3)) ),
inference(subst,[],[meaning_postulate_greater_transitive_10:[bind(A,$fot(X_29)),bind(B,$fot(age(sk2,sk4))),bind(C,$fot(age(sk2,sk3)))]]) ).
cnf(refute_0_125,plain,
( ~ greater(X_29,age(sk2,sk4))
| age(sk2,sk3) = age(sk2,sk4)
| greater(X_29,age(sk2,sk3)) ),
inference(resolve,[$cnf( greater(age(sk2,sk4),age(sk2,sk3)) )],[refute_0_15,refute_0_124]) ).
cnf(refute_0_126,plain,
( ~ greater(eta,age(sk2,sk4))
| age(sk2,sk3) = age(sk2,sk4)
| greater(eta,age(sk2,sk3)) ),
inference(subst,[],[refute_0_125:[bind(X_29,$fot(eta))]]) ).
cnf(refute_0_127,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| greater(eta,age(sk2,sk3)) ),
inference(resolve,[$cnf( greater(eta,age(sk2,sk4)) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| smaller(age(sk2,sk3),eta) ),
inference(resolve,[$cnf( greater(eta,age(sk2,sk3)) )],[refute_0_127,refute_0_119]) ).
cnf(refute_0_129,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| smaller_or_equal(age(sk2,sk3),eta) ),
inference(resolve,[$cnf( smaller(age(sk2,sk3),eta) )],[refute_0_128,refute_0_118]) ).
cnf(refute_0_130,plain,
( ~ has_endowment(sk2)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk3),eta) )],[refute_0_129,refute_0_10]) ).
cnf(refute_0_131,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( has_endowment(sk2) )],[theorem_2_62,refute_0_130]) ).
cnf(refute_0_132,plain,
( ~ organization(sk2)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,X_199) ),
inference(resolve,[$cnf( has_immunity(sk2,sk3) )],[refute_0_131,refute_0_31]) ).
cnf(refute_0_133,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,X_199) ),
inference(resolve,[$cnf( organization(sk2) )],[theorem_2_61,refute_0_132]) ).
cnf(refute_0_134,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6) ),
inference(subst,[],[refute_0_133:[bind(X_199,$fot(sk6))]]) ).
cnf(refute_0_135,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( has_immunity(sk2,sk3) )],[refute_0_131,refute_0_9]) ).
cnf(refute_0_136,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_135,refute_0_104]) ).
cnf(refute_0_137,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_136,refute_0_102]) ).
cnf(refute_0_138,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_107,refute_0_137]) ).
cnf(refute_0_139,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) )],[refute_0_138,refute_0_109]) ).
cnf(refute_0_140,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) )],[refute_0_134,refute_0_139]) ).
cnf(refute_0_141,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_140,refute_0_49]) ).
cnf(refute_0_142,plain,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta ),
inference(resolve,[$cnf( has_immunity(sk2,sk6) )],[refute_0_141,refute_0_57]) ).
cnf(refute_0_143,plain,
( age(sk2,sk3) != age(sk2,sk4)
| age(sk2,sk4) = age(sk2,sk3) ),
inference(subst,[],[refute_0_83:[bind(X,$fot(age(sk2,sk3))),bind(Y,$fot(age(sk2,sk4)))]]) ).
cnf(refute_0_144,plain,
( age(sk2,sk4) = age(sk2,sk3)
| age(sk2,sk4) = eta ),
inference(resolve,[$cnf( $equal(age(sk2,sk3),age(sk2,sk4)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
( age(sk2,sk4) != age(sk2,sk3)
| ~ smaller_or_equal(age(sk2,sk4),eta)
| smaller_or_equal(age(sk2,sk3),eta) ),
introduced(tautology,[equality,[$cnf( smaller_or_equal(age(sk2,sk4),eta) ),[0],$fot(age(sk2,sk3))]]) ).
cnf(refute_0_146,plain,
( ~ smaller_or_equal(age(sk2,sk4),eta)
| age(sk2,sk4) = eta
| smaller_or_equal(age(sk2,sk3),eta) ),
inference(resolve,[$cnf( $equal(age(sk2,sk4),age(sk2,sk3)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( age(sk2,sk4) = eta
| smaller_or_equal(age(sk2,sk3),eta) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk4),eta) )],[theorem_2_64,refute_0_146]) ).
cnf(refute_0_148,plain,
( ~ has_endowment(sk2)
| age(sk2,sk4) = eta
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk3),eta) )],[refute_0_147,refute_0_10]) ).
cnf(refute_0_149,plain,
( age(sk2,sk4) = eta
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( has_endowment(sk2) )],[theorem_2_62,refute_0_148]) ).
cnf(refute_0_150,plain,
( age(sk2,sk4) = eta
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( has_immunity(sk2,sk3) )],[refute_0_149,refute_0_9]) ).
cnf(refute_0_151,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| age(sk2,sk4) = eta
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_150,refute_0_104]) ).
cnf(refute_0_152,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| age(sk2,sk4) = eta
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_151,refute_0_102]) ).
cnf(refute_0_153,plain,
( age(sk2,sk4) = eta
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_107,refute_0_152]) ).
cnf(refute_0_154,plain,
( hazard_of_mortality(sk2,sk6) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk6))
| smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) ),
introduced(tautology,[equality,[$cnf( smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk6)) ),[1],$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_155,plain,
( ~ smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk6))
| age(sk2,sk4) = eta
| smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( age(sk2,sk4) = eta
| has_immunity(sk2,sk6)
| smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk6)) )],[refute_0_117,refute_0_155]) ).
cnf(refute_0_157,plain,
( age(sk2,sk4) = eta
| smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( has_immunity(sk2,sk6) )],[refute_0_156,refute_0_57]) ).
cnf(refute_0_158,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))
| smaller(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
introduced(tautology,[equality,[$cnf( smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) ),[0],$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_159,plain,
( ~ smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3))
| age(sk2,sk4) = eta
| smaller(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_150,refute_0_158]) ).
cnf(refute_0_160,plain,
( age(sk2,sk4) = eta
| smaller(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_157,refute_0_159]) ).
cnf(refute_0_161,plain,
( age(sk2,sk4) = eta
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_160,refute_0_114]) ).
cnf(refute_0_162,plain,
age(sk2,sk4) = eta,
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_161,refute_0_49]) ).
cnf(refute_0_163,plain,
( age(sk2,sk3) != age(sk2,sk4)
| age(sk2,sk4) != eta
| age(sk2,sk3) = eta ),
introduced(tautology,[equality,[$cnf( ~ $equal(age(sk2,sk3),eta) ),[0],$fot(age(sk2,sk4))]]) ).
cnf(refute_0_164,plain,
( age(sk2,sk3) != age(sk2,sk4)
| age(sk2,sk3) = eta ),
inference(resolve,[$cnf( $equal(age(sk2,sk4),eta) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
age(sk2,sk3) = eta,
inference(resolve,[$cnf( $equal(age(sk2,sk3),age(sk2,sk4)) )],[refute_0_113,refute_0_164]) ).
cnf(refute_0_166,plain,
( age(sk2,sk3) != eta
| ~ smaller_or_equal(eta,eta)
| smaller_or_equal(age(sk2,sk3),eta) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(age(sk2,sk3),eta) ),[0],$fot(eta)]]) ).
cnf(refute_0_167,plain,
( ~ smaller_or_equal(eta,eta)
| smaller_or_equal(age(sk2,sk3),eta) ),
inference(resolve,[$cnf( $equal(age(sk2,sk3),eta) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( ~ has_endowment(sk2)
| ~ smaller_or_equal(eta,eta)
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( smaller_or_equal(age(sk2,sk3),eta) )],[refute_0_167,refute_0_10]) ).
cnf(refute_0_169,plain,
( ~ smaller_or_equal(eta,eta)
| has_immunity(sk2,sk3) ),
inference(resolve,[$cnf( has_endowment(sk2) )],[theorem_2_62,refute_0_168]) ).
cnf(refute_0_170,plain,
smaller_or_equal(eta,eta),
inference(subst,[],[refute_0_75:[bind(B,$fot(eta))]]) ).
cnf(refute_0_171,plain,
has_immunity(sk2,sk3),
inference(resolve,[$cnf( smaller_or_equal(eta,eta) )],[refute_0_170,refute_0_169]) ).
cnf(refute_0_172,plain,
hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3),
inference(resolve,[$cnf( has_immunity(sk2,sk3) )],[refute_0_171,refute_0_9]) ).
cnf(refute_0_173,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk4))
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk3)) ),
introduced(tautology,[equality,[$cnf( greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk4)) ),[1],$fot(hazard_of_mortality(sk2,sk3))]]) ).
cnf(refute_0_174,plain,
( ~ greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk4))
| greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,X_199) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,X_199),hazard_of_mortality(sk2,sk4)) )],[refute_0_5,refute_0_174]) ).
cnf(refute_0_176,plain,
( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6) ),
inference(subst,[],[refute_0_175:[bind(X_199,$fot(sk6))]]) ).
cnf(refute_0_177,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_172,refute_0_104]) ).
cnf(refute_0_178,plain,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk3)
| hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk4),hazard_of_mortality(sk2,sk3)) )],[refute_0_177,refute_0_102]) ).
cnf(refute_0_179,plain,
hazard_of_mortality(sk2,sk6) = hazard_of_mortality(sk2,sk3),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_107,refute_0_178]) ).
cnf(refute_0_180,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3))
| greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) )],[refute_0_179,refute_0_109]) ).
cnf(refute_0_181,plain,
( greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3))
| has_immunity(sk2,sk6) ),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk3)) )],[refute_0_176,refute_0_180]) ).
cnf(refute_0_182,plain,
has_immunity(sk2,sk6),
inference(resolve,[$cnf( greater(hazard_of_mortality(sk2,sk3),hazard_of_mortality(sk2,sk3)) )],[refute_0_181,refute_0_49]) ).
cnf(refute_0_183,plain,
$false,
inference(resolve,[$cnf( has_immunity(sk2,sk6) )],[refute_0_182,refute_0_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT047-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 9 11:40:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 254.94/255.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 254.94/255.16
% 254.94/255.16 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 254.94/255.16
%------------------------------------------------------------------------------