%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT054-1 : 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 : 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 : 300s
% DateTime : Tue May 5 04:48:21 PM UTC 2026
% Result : Unsatisfiable 1.23s 1.68s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 19
% Syntax : Number of clauses : 57 ( 17 unt; 18 nHn; 47 RR)
% Number of literals : 137 ( 17 equ; 70 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 83 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_13_47,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_47) ).
cnf(theorem_5_54,negated_conjecture,
age(sk1,sk2) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_54) ).
cnf(theorem_5_52,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_52) ).
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_5_55,negated_conjecture,
smaller_or_equal(age(sk1,sk3),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_55) ).
cnf(assumption_15_50,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_50) ).
cnf(definition_2_40,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_40) ).
cnf(definition_2_44,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_44) ).
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(definition_2_42,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_42) ).
cnf(assumption_15_49,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_49) ).
cnf(assumption_16_51,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_51) ).
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(assumption_14_48,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_48) ).
cnf(theorem_5_56,negated_conjecture,
greater(age(sk1,sk4),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_56) ).
cnf(theorem_5_58,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_58) ).
cnf(assumption_1_38,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_38) ).
cnf(theorem_5_53,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5_53) ).
cnf(c_0_19,axiom,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
assumption_13_47 ).
cnf(c_0_20,negated_conjecture,
age(sk1,sk2) = zero,
theorem_5_54 ).
cnf(c_0_21,negated_conjecture,
organization(sk1),
theorem_5_52 ).
cnf(c_0_22,axiom,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
definition_smaller_or_equal_1 ).
cnf(c_0_23,negated_conjecture,
smaller_or_equal(age(sk1,sk3),sigma),
theorem_5_55 ).
cnf(c_0_24,axiom,
( greater(age(X1,X3),sigma)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ dissimilar(X1,X2,X3) ),
assumption_15_50 ).
cnf(c_0_25,axiom,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
definition_2_40 ).
cnf(c_0_26,axiom,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
definition_2_44 ).
cnf(c_0_27,negated_conjecture,
is_aligned(sk1,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_28,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
definition_smaller_7 ).
cnf(c_0_29,negated_conjecture,
( age(sk1,sk3) = sigma
| smaller(age(sk1,sk3),sigma) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_30,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
( is_aligned(sk1,X1)
| dissimilar(sk1,sk2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_21])]) ).
cnf(c_0_32,axiom,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
meaning_postulate_greater_strict_9 ).
cnf(c_0_33,negated_conjecture,
( age(sk1,sk3) = sigma
| greater(sigma,age(sk1,sk3)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( is_aligned(sk1,X1)
| greater(age(sk1,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_20])]) ).
cnf(c_0_35,negated_conjecture,
( age(sk1,sk3) = sigma
| ~ greater(age(sk1,sk3),sigma) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
( is_aligned(sk1,X1)
| ~ greater(sigma,age(sk1,X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
( age(sk1,sk3) = sigma
| is_aligned(sk1,sk3) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( is_aligned(sk1,sk3)
| ~ greater(sigma,sigma) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_39,axiom,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
definition_2_42 ).
cnf(c_0_40,axiom,
( dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero
| ~ greater(age(X1,X3),sigma) ),
assumption_15_49 ).
cnf(c_0_41,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_51 ).
cnf(c_0_42,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_43,axiom,
( is_aligned(X1,X3)
| greater(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
assumption_14_48 ).
cnf(c_0_44,negated_conjecture,
is_aligned(sk1,sk3),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_38]) ).
cnf(c_0_45,plain,
( age(X1,X2) != zero
| ~ is_aligned(X1,X3)
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_19]) ).
cnf(c_0_46,negated_conjecture,
greater(age(sk1,sk4),sigma),
theorem_5_56 ).
cnf(c_0_47,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_41,c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( is_aligned(sk1,X1)
| greater(capability(sk1,sk3),capability(sk1,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_21])]) ).
cnf(c_0_49,negated_conjecture,
( age(sk1,X1) != zero
| ~ is_aligned(sk1,sk4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_21])]) ).
cnf(c_0_50,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)),
theorem_5_58 ).
cnf(c_0_51,negated_conjecture,
( is_aligned(sk1,X1)
| has_immunity(sk1,X1)
| greater(hazard_of_mortality(sk1,X1),hazard_of_mortality(sk1,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_21])]) ).
cnf(c_0_52,negated_conjecture,
~ is_aligned(sk1,sk4),
inference(spm,[status(thm)],[c_0_49,c_0_20]) ).
cnf(c_0_53,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_1_38 ).
cnf(c_0_54,negated_conjecture,
has_immunity(sk1,sk4),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_55,negated_conjecture,
~ has_endowment(sk1),
theorem_5_53 ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_21])]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : MGT054-1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.09 % 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
% 0.11/0.30 % Computer : n019.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon May 4 23:30:44 EDT 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 % start to proof: theBenchmark
% 1.23/1.68 % Version : CSE_E---1.7
% 1.23/1.68 % Problem : theBenchmark.p
% 1.23/1.68 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.68 % SZS output start CNFRefutation
% See solution above
% 1.23/1.68 % Total time : 1.368s
%------------------------------------------------------------------------------