%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT057-1 : 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 1.28s 1.73s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 36 ( 20 unt; 3 nHn; 33 RR)
% Number of literals : 64 ( 8 equ; 31 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 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(theorem_6_45,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_45) ).
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(theorem_6_43,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_43) ).
cnf(theorem_6_41,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_41) ).
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(theorem_6_40,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_40) ).
cnf(theorem_6_42,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_42) ).
cnf(theorem_6_46,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',theorem_6_46) ).
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(theorem_6_44,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_6_44) ).
cnf(c_0_13,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8 ).
cnf(c_0_14,negated_conjecture,
greater(eta,zero),
theorem_6_45 ).
cnf(c_0_15,axiom,
( has_immunity(X1,X2)
| ~ has_endowment(X1)
| ~ smaller_or_equal(age(X1,X2),eta) ),
definition_1_32 ).
cnf(c_0_16,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
theorem_6_43 ).
cnf(c_0_17,negated_conjecture,
has_endowment(sk2),
theorem_6_41 ).
cnf(c_0_18,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2 ).
cnf(c_0_19,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,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_21,negated_conjecture,
has_immunity(sk2,sk4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).
cnf(c_0_22,negated_conjecture,
organization(sk2),
theorem_6_40 ).
cnf(c_0_23,negated_conjecture,
age(sk2,sk3) = zero,
theorem_6_42 ).
cnf(c_0_24,negated_conjecture,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,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_20,c_0_21]),c_0_22])]) ).
cnf(c_0_26,negated_conjecture,
has_immunity(sk2,sk3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_23]),c_0_17]),c_0_24])]) ).
cnf(c_0_27,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
theorem_6_46 ).
cnf(c_0_28,negated_conjecture,
hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,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_30,axiom,
( ~ has_endowment(X1)
| ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2) ),
definition_1_33 ).
cnf(c_0_31,negated_conjecture,
greater(age(sk2,sk5),eta),
theorem_6_44 ).
cnf(c_0_32,negated_conjecture,
~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28])]) ).
cnf(c_0_33,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_29,c_0_21]),c_0_22])]) ).
cnf(c_0_34,negated_conjecture,
~ has_immunity(sk2,sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_17])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT057-1 : 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
% 0.17/0.34 % Computer : n007.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 23:31:38 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.28/1.73 % Version : CSE_E---1.7
% 1.28/1.73 % Problem : theBenchmark.p
% 1.28/1.73 % SZS status Unsatisfiable for theBenchmark.p
% 1.28/1.73 % SZS output start CNFRefutation
% See solution above
% 1.28/1.73 % Total time : 1.375s
%------------------------------------------------------------------------------