TSTP Solution File: MGT046-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT046-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 : 600s
% DateTime : Sun Jul 17 22:19:51 EDT 2022
% Result : Unsatisfiable 5.36s 5.52s
% Output : CNFRefutation 5.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of clauses : 58 ( 19 unt; 8 nHn; 48 RR)
% Number of literals : 131 ( 17 equ; 62 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 61 ( 15 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_smaller_or_equal_3,axiom,
( A != B
| smaller_or_equal(A,B) ) ).
cnf(definition_greater_or_equal_5,axiom,
( ~ greater(A,B)
| greater_or_equal(A,B) ) ).
cnf(assumption_1_41,axiom,
( ~ organization(A)
| has_endowment(A)
| ~ has_immunity(A,B) ) ).
cnf(assumption_4_42,axiom,
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| ~ greater(capability(A,C),capability(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
cnf(assumption_5_45,axiom,
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) ) ).
cnf(assumption_6_48,axiom,
( ~ organization(A)
| ~ greater(external_ties(A,B),external_ties(A,C))
| greater(position(A,B),position(A,C)) ) ).
cnf(assumption_7_50,axiom,
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ) ).
cnf(assumption_8_51,axiom,
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(external_ties(A,B),external_ties(A,C)) ) ).
cnf(assumption_9_52,axiom,
( ~ organization(A)
| internal_friction(A,B) = internal_friction(A,C) ) ).
cnf(theorem_1_53,negated_conjecture,
organization(sk1) ).
cnf(theorem_1_54,negated_conjecture,
~ has_endowment(sk1) ).
cnf(theorem_1_55,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)) ).
cnf(theorem_1_56,negated_conjecture,
~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ).
cnf(refute_0_0,plain,
( ~ has_immunity(sk1,sk2)
| ~ organization(sk1)
| has_endowment(sk1) ),
inference(subst,[],[assumption_1_41:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ has_immunity(sk1,sk3)
| ~ organization(sk1)
| has_endowment(sk1) ),
inference(subst,[],[assumption_1_41:[bind(A,$fot(sk1)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_2,plain,
( ~ greater(position(sk1,sk3),position(sk1,sk2))
| greater_or_equal(position(sk1,sk3),position(sk1,sk2)) ),
inference(subst,[],[definition_greater_or_equal_5:[bind(A,$fot(position(sk1,sk3))),bind(B,$fot(position(sk1,sk2)))]]) ).
cnf(refute_0_3,plain,
( ~ greater(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,sk2)) ),
inference(subst,[],[assumption_6_48:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_4,plain,
( ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(subst,[],[assumption_8_51:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_5,plain,
( ~ organization(sk1)
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ),
inference(resolve,[$cnf( greater(age(sk1,sk3),age(sk1,sk2)) )],[theorem_1_55,refute_0_4]) ).
cnf(refute_0_6,plain,
greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(resolve,[$cnf( organization(sk1) )],[theorem_1_53,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ organization(sk1)
| greater(position(sk1,sk3),position(sk1,sk2)) ),
inference(resolve,[$cnf( greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) )],[refute_0_6,refute_0_3]) ).
cnf(refute_0_8,plain,
greater(position(sk1,sk3),position(sk1,sk2)),
inference(resolve,[$cnf( organization(sk1) )],[theorem_1_53,refute_0_7]) ).
cnf(refute_0_9,plain,
greater_or_equal(position(sk1,sk3),position(sk1,sk2)),
inference(resolve,[$cnf( greater(position(sk1,sk3),position(sk1,sk2)) )],[refute_0_8,refute_0_2]) ).
cnf(refute_0_10,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ greater_or_equal(position(sk1,sk3),position(sk1,sk2))
| ~ organization(sk1)
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(subst,[],[assumption_4_42:[bind(A,$fot(sk1)),bind(B,$fot(sk2)),bind(C,$fot(sk3))]]) ).
cnf(refute_0_11,plain,
( ~ greater(capability(sk1,sk3),capability(sk1,sk2))
| ~ organization(sk1)
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(resolve,[$cnf( greater_or_equal(position(sk1,sk3),position(sk1,sk2)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ greater(age(sk1,sk3),age(sk1,sk2))
| ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(subst,[],[assumption_7_50:[bind(A,$fot(sk1)),bind(B,$fot(sk3)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_13,plain,
( ~ organization(sk1)
| greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ),
inference(resolve,[$cnf( greater(age(sk1,sk3),age(sk1,sk2)) )],[theorem_1_55,refute_0_12]) ).
cnf(refute_0_14,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(resolve,[$cnf( organization(sk1) )],[theorem_1_53,refute_0_13]) ).
cnf(refute_0_15,plain,
( B != B
| smaller_or_equal(B,B) ),
inference(subst,[],[definition_smaller_or_equal_3:[bind(A,$fot(B))]]) ).
cnf(refute_0_16,plain,
B = B,
introduced(tautology,[refl,[$fot(B)]]) ).
cnf(refute_0_17,plain,
smaller_or_equal(B,B),
inference(resolve,[$cnf( $equal(B,B) )],[refute_0_16,refute_0_15]) ).
cnf(refute_0_18,plain,
smaller_or_equal(internal_friction(sk1,X_276),internal_friction(sk1,X_276)),
inference(subst,[],[refute_0_17:[bind(B,$fot(internal_friction(sk1,X_276)))]]) ).
cnf(refute_0_19,plain,
( ~ greater(stock_of_knowledge(sk1,X_272),stock_of_knowledge(sk1,X_273))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,X_272),internal_friction(sk1,X_273))
| greater(capability(sk1,X_272),capability(sk1,X_273)) ),
inference(subst,[],[assumption_5_45:[bind(A,$fot(sk1)),bind(B,$fot(X_272)),bind(C,$fot(X_273))]]) ).
cnf(refute_0_20,plain,
( ~ organization(sk1)
| internal_friction(sk1,X_16) = internal_friction(sk1,X_17) ),
inference(subst,[],[assumption_9_52:[bind(A,$fot(sk1)),bind(B,$fot(X_16)),bind(C,$fot(X_17))]]) ).
cnf(refute_0_21,plain,
internal_friction(sk1,X_16) = internal_friction(sk1,X_17),
inference(resolve,[$cnf( organization(sk1) )],[theorem_1_53,refute_0_20]) ).
cnf(refute_0_22,plain,
internal_friction(sk1,X_16) = internal_friction(sk1,X_272),
inference(subst,[],[refute_0_21:[bind(X_17,$fot(X_272))]]) ).
cnf(refute_0_23,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_24,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_25,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( internal_friction(sk1,X_16) != internal_friction(sk1,X_272)
| internal_friction(sk1,X_272) = internal_friction(sk1,X_16) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(internal_friction(sk1,X_16))),bind(Y,$fot(internal_friction(sk1,X_272)))]]) ).
cnf(refute_0_27,plain,
internal_friction(sk1,X_272) = internal_friction(sk1,X_16),
inference(resolve,[$cnf( $equal(internal_friction(sk1,X_16),internal_friction(sk1,X_272)) )],[refute_0_22,refute_0_26]) ).
cnf(refute_0_28,plain,
( internal_friction(sk1,X_272) != internal_friction(sk1,X_16)
| ~ smaller_or_equal(internal_friction(sk1,X_16),internal_friction(sk1,X_273))
| smaller_or_equal(internal_friction(sk1,X_272),internal_friction(sk1,X_273)) ),
introduced(tautology,[equality,[$cnf( ~ smaller_or_equal(internal_friction(sk1,X_272),internal_friction(sk1,X_273)) ),[0],$fot(internal_friction(sk1,X_16))]]) ).
cnf(refute_0_29,plain,
( ~ smaller_or_equal(internal_friction(sk1,X_16),internal_friction(sk1,X_273))
| smaller_or_equal(internal_friction(sk1,X_272),internal_friction(sk1,X_273)) ),
inference(resolve,[$cnf( $equal(internal_friction(sk1,X_272),internal_friction(sk1,X_16)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ greater(stock_of_knowledge(sk1,X_272),stock_of_knowledge(sk1,X_273))
| ~ organization(sk1)
| ~ smaller_or_equal(internal_friction(sk1,X_16),internal_friction(sk1,X_273))
| greater(capability(sk1,X_272),capability(sk1,X_273)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(sk1,X_272),internal_friction(sk1,X_273)) )],[refute_0_29,refute_0_19]) ).
cnf(refute_0_31,plain,
( ~ greater(stock_of_knowledge(sk1,X_272),stock_of_knowledge(sk1,X_273))
| ~ smaller_or_equal(internal_friction(sk1,X_16),internal_friction(sk1,X_273))
| greater(capability(sk1,X_272),capability(sk1,X_273)) ),
inference(resolve,[$cnf( organization(sk1) )],[theorem_1_53,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ greater(stock_of_knowledge(sk1,X_275),stock_of_knowledge(sk1,X_276))
| ~ smaller_or_equal(internal_friction(sk1,X_276),internal_friction(sk1,X_276))
| greater(capability(sk1,X_275),capability(sk1,X_276)) ),
inference(subst,[],[refute_0_31:[bind(X_16,$fot(X_276)),bind(X_272,$fot(X_275)),bind(X_273,$fot(X_276))]]) ).
cnf(refute_0_33,plain,
( ~ greater(stock_of_knowledge(sk1,X_275),stock_of_knowledge(sk1,X_276))
| greater(capability(sk1,X_275),capability(sk1,X_276)) ),
inference(resolve,[$cnf( smaller_or_equal(internal_friction(sk1,X_276),internal_friction(sk1,X_276)) )],[refute_0_18,refute_0_32]) ).
cnf(refute_0_34,plain,
( ~ greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(capability(sk1,sk3),capability(sk1,sk2)) ),
inference(subst,[],[refute_0_33:[bind(X_275,$fot(sk3)),bind(X_276,$fot(sk2))]]) ).
cnf(refute_0_35,plain,
greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(resolve,[$cnf( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) )],[refute_0_14,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ organization(sk1)
| has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(resolve,[$cnf( greater(capability(sk1,sk3),capability(sk1,sk2)) )],[refute_0_35,refute_0_11]) ).
cnf(refute_0_37,plain,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3)
| smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ),
inference(resolve,[$cnf( organization(sk1) )],[theorem_1_53,refute_0_36]) ).
cnf(refute_0_38,plain,
( has_immunity(sk1,sk2)
| has_immunity(sk1,sk3) ),
inference(resolve,[$cnf( smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) )],[refute_0_37,theorem_1_56]) ).
cnf(refute_0_39,plain,
( ~ organization(sk1)
| has_endowment(sk1)
| has_immunity(sk1,sk2) ),
inference(resolve,[$cnf( has_immunity(sk1,sk3) )],[refute_0_38,refute_0_1]) ).
cnf(refute_0_40,plain,
( has_endowment(sk1)
| has_immunity(sk1,sk2) ),
inference(resolve,[$cnf( organization(sk1) )],[theorem_1_53,refute_0_39]) ).
cnf(refute_0_41,plain,
has_immunity(sk1,sk2),
inference(resolve,[$cnf( has_endowment(sk1) )],[refute_0_40,theorem_1_54]) ).
cnf(refute_0_42,plain,
( ~ organization(sk1)
| has_endowment(sk1) ),
inference(resolve,[$cnf( has_immunity(sk1,sk2) )],[refute_0_41,refute_0_0]) ).
cnf(refute_0_43,plain,
has_endowment(sk1),
inference(resolve,[$cnf( organization(sk1) )],[theorem_1_53,refute_0_42]) ).
cnf(refute_0_44,plain,
$false,
inference(resolve,[$cnf( has_endowment(sk1) )],[refute_0_43,theorem_1_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT046-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 9 08:05:04 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.36/5.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.36/5.52
% 5.36/5.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.36/5.52
%------------------------------------------------------------------------------