%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT050-1 : 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 04:48:20 PM UTC 2026
% Result : Unsatisfiable 1.33s 1.74s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 42 ( 15 unt; 6 nHn; 35 RR)
% Number of literals : 94 ( 13 equ; 45 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 : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 63 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_5_46,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_46) ).
cnf(assumption_10_50,axiom,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_50) ).
cnf(assumption_12_52,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_52) ).
cnf(theorem_3_55,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_55) ).
cnf(theorem_3_53,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_53) ).
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(definition_smaller_7,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
cnf(assumption_4_42,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_42) ).
cnf(assumption_6_49,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_49) ).
cnf(assumption_11_51,axiom,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_51) ).
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_3_56,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_56) ).
cnf(assumption_1_41,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_41) ).
cnf(theorem_3_54,negated_conjecture,
~ has_endowment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3_54) ).
cnf(c_0_14,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_46 ).
cnf(c_0_15,axiom,
( stock_of_knowledge(X1,X2) = stock_of_knowledge(X1,X3)
| ~ organization(X1) ),
assumption_10_50 ).
cnf(c_0_16,axiom,
( greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
assumption_12_52 ).
cnf(c_0_17,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
theorem_3_55 ).
cnf(c_0_18,negated_conjecture,
organization(sk1),
theorem_3_53 ).
cnf(c_0_19,plain,
( smaller(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ greater(internal_friction(X1,X2),internal_friction(X1,X3))
| ~ smaller_or_equal(stock_of_knowledge(X1,X2),stock_of_knowledge(X1,X4)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
greater(internal_friction(sk1,sk3),internal_friction(sk1,sk2)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
definition_smaller_or_equal_3 ).
cnf(c_0_22,negated_conjecture,
( smaller(capability(sk1,sk3),capability(sk1,sk2))
| ~ smaller_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_18])]) ).
cnf(c_0_23,plain,
smaller_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_24,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
definition_smaller_7 ).
cnf(c_0_25,negated_conjecture,
smaller(capability(sk1,sk3),capability(sk1,sk2)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_26,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_42 ).
cnf(c_0_27,negated_conjecture,
greater(capability(sk1,sk2),capability(sk1,sk3)),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
assumption_6_49 ).
cnf(c_0_29,axiom,
( external_ties(X1,X2) = external_ties(X1,X3)
| ~ organization(X1) ),
assumption_11_51 ).
cnf(c_0_30,negated_conjecture,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ greater_or_equal(position(sk1,sk2),position(sk1,sk3)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_18])]) ).
cnf(c_0_31,plain,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1) ),
inference(csr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
definition_greater_or_equal_6 ).
cnf(c_0_33,negated_conjecture,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3))
| ~ greater_or_equal(position(sk1,sk2),position(sk1,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18])]) ).
cnf(c_0_34,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( has_immunity(sk1,sk3)
| has_immunity(sk1,sk2)
| smaller(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
theorem_3_56 ).
cnf(c_0_37,axiom,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
assumption_1_41 ).
cnf(c_0_38,negated_conjecture,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_35]),c_0_36]) ).
cnf(c_0_39,negated_conjecture,
~ has_endowment(sk1),
theorem_3_54 ).
cnf(c_0_40,negated_conjecture,
has_immunity(sk1,sk3),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_18])]),c_0_39]) ).
cnf(c_0_41,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_40]),c_0_18])]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT050-1 : 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
% 0.17/0.33 % Computer : n007.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 23:30:23 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.33/1.74 % Version : CSE_E---1.7
% 1.33/1.74 % Problem : theBenchmark.p
% 1.33/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.33/1.74 % SZS output start CNFRefutation
% See solution above
% 1.33/1.74 % Total time : 1.373s
%------------------------------------------------------------------------------