%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT056-1 : 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 : n007.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 04:48:22 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 59 ( 24 unt; 16 nHn; 53 RR)
% Number of literals : 115 ( 25 equ; 46 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
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_9_46,negated_conjecture,
greater(sigma,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_46) ).
cnf(definition_greater_or_equal_4,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).
cnf(lemma_9_45,negated_conjecture,
greater_or_equal(eta,sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_45) ).
cnf(definition_smaller_8,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(definition_1_32,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_32) ).
cnf(lemma_9_43,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_43) ).
cnf(lemma_9_41,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_41) ).
cnf(lemma_9_42,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_42) ).
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_2_38,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_38) ).
cnf(lemma_9_40,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_40) ).
cnf(assumption_3_39,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_39) ).
cnf(definition_1_33,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_33) ).
cnf(lemma_9_44,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9_44) ).
cnf(meaning_postulate_greater_comparable_11,axiom,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
cnf(lemma_9_47,negated_conjecture,
( ~ 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_9_47) ).
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_18,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
meaning_postulate_greater_transitive_10 ).
cnf(c_0_19,negated_conjecture,
greater(sigma,zero),
lemma_9_46 ).
cnf(c_0_20,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
definition_greater_or_equal_4 ).
cnf(c_0_21,negated_conjecture,
greater_or_equal(eta,sigma),
lemma_9_45 ).
cnf(c_0_22,negated_conjecture,
( greater(X1,zero)
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( sigma = eta
| greater(eta,sigma) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_24,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8 ).
cnf(c_0_25,negated_conjecture,
( sigma = eta
| greater(eta,zero) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
definition_1_32 ).
cnf(c_0_27,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
lemma_9_43 ).
cnf(c_0_28,negated_conjecture,
has_endowment(sk2),
lemma_9_41 ).
cnf(c_0_29,negated_conjecture,
age(sk2,sk3) = zero,
lemma_9_42 ).
cnf(c_0_30,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2 ).
cnf(c_0_31,negated_conjecture,
( sigma = eta
| smaller(zero,eta) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_32,axiom,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X2)
| ~ has_immunity(X1,X3) ),
assumption_2_38 ).
cnf(c_0_33,negated_conjecture,
has_immunity(sk2,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).
cnf(c_0_34,negated_conjecture,
organization(sk2),
lemma_9_40 ).
cnf(c_0_35,negated_conjecture,
( has_immunity(sk2,sk3)
| ~ smaller_or_equal(zero,eta) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_29]),c_0_28])]) ).
cnf(c_0_36,negated_conjecture,
( sigma = eta
| smaller_or_equal(zero,eta) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_37,axiom,
( has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_3_39 ).
cnf(c_0_38,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
definition_1_33 ).
cnf(c_0_39,negated_conjecture,
greater(age(sk2,sk5),eta),
lemma_9_44 ).
cnf(c_0_40,axiom,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
meaning_postulate_greater_comparable_11 ).
cnf(c_0_41,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_32,c_0_33]),c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
( sigma = eta
| has_immunity(sk2,sk3) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
lemma_9_47 ).
cnf(c_0_44,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_37,c_0_33]),c_0_34])]) ).
cnf(c_0_45,negated_conjecture,
~ has_immunity(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_28])]) ).
cnf(c_0_46,plain,
( X1 = X2
| greater(X1,X2)
| smaller_or_equal(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_40]) ).
cnf(c_0_47,axiom,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
meaning_postulate_greater_strict_9 ).
cnf(c_0_48,negated_conjecture,
( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4)
| sigma = eta ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( zero = eta
| has_immunity(sk2,sk3)
| greater(zero,eta) ),
inference(spm,[status(thm)],[c_0_35,c_0_46]) ).
cnf(c_0_51,negated_conjecture,
~ greater(zero,sigma),
inference(spm,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_52,negated_conjecture,
sigma = eta,
inference(sr,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4)
| zero = eta
| greater(zero,eta) ),
inference(spm,[status(thm)],[c_0_41,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
~ greater(zero,eta),
inference(rw,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
zero = eta,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_53,c_0_49]),c_0_54]) ).
cnf(c_0_56,negated_conjecture,
greater(eta,zero),
inference(rw,[status(thm)],[c_0_19,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
~ greater(eta,eta),
inference(rw,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_55]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT056-1 : 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
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:29:54 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------