%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT051-1 : 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 : n015.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 04:48:20 PM UTC 2026
% Result : Unsatisfiable 2.04s 1.97s
% Output : CNFRefutation 2.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of clauses : 82 ( 25 unt; 19 nHn; 72 RR)
% Number of literals : 179 ( 41 equ; 79 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
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(theorem_4_63,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_63) ).
cnf(definition_smaller_7,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
cnf(theorem_4_64,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_64) ).
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(assumption_12_60,axiom,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_60) ).
cnf(theorem_4_66,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_66) ).
cnf(theorem_4_61,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_61) ).
cnf(definition_smaller_8,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(assumption_5_54,axiom,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_54) ).
cnf(definition_1_42,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).
cnf(theorem_4_62,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_62) ).
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_10_58,axiom,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_58) ).
cnf(definition_smaller_or_equal_3,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(theorem_4_65,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_65) ).
cnf(assumption_2_48,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_48) ).
cnf(definition_1_43,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_43) ).
cnf(assumption_4_50,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_50) ).
cnf(assumption_6_57,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_57) ).
cnf(assumption_11_59,axiom,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_59) ).
cnf(assumption_3_49,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_49) ).
cnf(definition_greater_or_equal_6,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
cnf(theorem_4_67,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',theorem_4_67) ).
cnf(c_0_24,axiom,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
definition_smaller_or_equal_1 ).
cnf(c_0_25,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
theorem_4_63 ).
cnf(c_0_26,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
definition_smaller_7 ).
cnf(c_0_27,negated_conjecture,
( age(sk2,sk3) = age(sk2,sk4)
| smaller(age(sk2,sk3),age(sk2,sk4)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
theorem_4_64 ).
cnf(c_0_29,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
meaning_postulate_greater_transitive_10 ).
cnf(c_0_30,negated_conjecture,
( age(sk2,sk3) = age(sk2,sk4)
| greater(age(sk2,sk4),age(sk2,sk3)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,negated_conjecture,
( age(sk2,sk4) = eta
| smaller(age(sk2,sk4),eta) ),
inference(spm,[status(thm)],[c_0_24,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( age(sk2,sk3) = age(sk2,sk4)
| greater(X1,age(sk2,sk3))
| ~ greater(X1,age(sk2,sk4)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( age(sk2,sk4) = eta
| greater(eta,age(sk2,sk4)) ),
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_34,axiom,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
assumption_12_60 ).
cnf(c_0_35,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
theorem_4_66 ).
cnf(c_0_36,negated_conjecture,
organization(sk2),
theorem_4_61 ).
cnf(c_0_37,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8 ).
cnf(c_0_38,negated_conjecture,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| greater(eta,age(sk2,sk3)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,axiom,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X3))
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3)) ),
assumption_5_54 ).
cnf(c_0_40,negated_conjecture,
greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_41,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
definition_1_42 ).
cnf(c_0_42,negated_conjecture,
has_endowment(sk2),
theorem_4_62 ).
cnf(c_0_43,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2 ).
cnf(c_0_44,negated_conjecture,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| smaller(age(sk2,sk3),eta) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( smaller(capability(sk2,sk6),capability(sk2,sk5))
| ~ smaller_or_equal(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_36])]) ).
cnf(c_0_46,axiom,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
assumption_10_58 ).
cnf(c_0_47,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
definition_smaller_or_equal_3 ).
cnf(c_0_48,negated_conjecture,
greater(age(sk2,sk5),eta),
theorem_4_65 ).
cnf(c_0_49,axiom,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X2)
| ~ has_immunity(X1,X3) ),
assumption_2_48 ).
cnf(c_0_50,negated_conjecture,
has_immunity(sk2,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_28]),c_0_42])]) ).
cnf(c_0_51,negated_conjecture,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| smaller_or_equal(age(sk2,sk3),eta) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( smaller(capability(sk2,sk6),capability(sk2,sk5))
| ~ smaller_or_equal(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_36])]) ).
cnf(c_0_53,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( greater(X1,eta)
| ~ greater(X1,age(sk2,sk5)) ),
inference(spm,[status(thm)],[c_0_29,c_0_48]) ).
cnf(c_0_55,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_49,c_0_50]),c_0_36])]) ).
cnf(c_0_56,negated_conjecture,
( age(sk2,sk3) = age(sk2,sk4)
| age(sk2,sk4) = eta
| has_immunity(sk2,sk3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_51]),c_0_42])]) ).
cnf(c_0_57,negated_conjecture,
smaller(capability(sk2,sk6),capability(sk2,sk5)),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
definition_1_43 ).
cnf(c_0_59,negated_conjecture,
greater(age(sk2,sk6),eta),
inference(spm,[status(thm)],[c_0_54,c_0_35]) ).
cnf(c_0_60,negated_conjecture,
( age(sk2,sk3) = age(sk2,sk4)
| hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4)
| age(sk2,sk4) = eta ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_61,axiom,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2))
| ~ greater_or_equal(position(X1,X3),position(X1,X2)) ),
assumption_4_50 ).
cnf(c_0_62,negated_conjecture,
greater(capability(sk2,sk5),capability(sk2,sk6)),
inference(spm,[status(thm)],[c_0_26,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
~ has_immunity(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_48]),c_0_42])]) ).
cnf(c_0_64,negated_conjecture,
~ has_immunity(sk2,sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_42])]) ).
cnf(c_0_65,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
assumption_6_57 ).
cnf(c_0_66,axiom,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
assumption_11_59 ).
cnf(c_0_67,axiom,
( has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_3_49 ).
cnf(c_0_68,negated_conjecture,
( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4)
| age(sk2,sk4) = eta ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_60]),c_0_42]),c_0_28])]),c_0_55]) ).
cnf(c_0_69,negated_conjecture,
( smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater_or_equal(position(sk2,sk5),position(sk2,sk6)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_36])]),c_0_63]),c_0_64]) ).
cnf(c_0_70,plain,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1) ),
inference(csr,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
definition_greater_or_equal_6 ).
cnf(c_0_72,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) ),
theorem_4_67 ).
cnf(c_0_73,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_67,c_0_50]),c_0_36])]) ).
cnf(c_0_74,negated_conjecture,
( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4)
| smaller_or_equal(age(sk2,sk3),eta) ),
inference(spm,[status(thm)],[c_0_25,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater_or_equal(position(sk2,sk5),position(sk2,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_36])]) ).
cnf(c_0_76,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_63]) ).
cnf(c_0_78,negated_conjecture,
hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_74]),c_0_42])]),c_0_55]) ).
cnf(c_0_79,negated_conjecture,
smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,negated_conjecture,
~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_79]),c_0_80]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT051-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % 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
% 0.14/0.32 % Computer : n015.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 23:31:47 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 2.04/1.97 % Version : CSE_E---1.7
% 2.04/1.97 % Problem : theBenchmark.p
% 2.04/1.97 % SZS status Unsatisfiable for theBenchmark.p
% 2.04/1.97 % SZS output start CNFRefutation
% See solution above
% 2.04/1.97 % Total time : 1.371s
%------------------------------------------------------------------------------