TSTP Solution File: MGT009-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n018.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 22:18:49 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   47 (  17 unt;   0 nHn;  47 RR)
%            Number of literals    :  183 (   0 equ; 142 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :   87 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp5_1,axiom,
    ( ~ organization(A,B)
    | inertia(A,sk1(B,A),B) ) ).

cnf(a3_FOL_3,hypothesis,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ reorganization_free(A,B,B)
    | ~ reorganization_free(C,D,D)
    | ~ reproducibility(A,E,B)
    | ~ reproducibility(C,F,D)
    | ~ inertia(A,G,B)
    | ~ inertia(C,H,D)
    | ~ greater(H,G)
    | greater(F,E) ) ).

cnf(a5_FOL_4,hypothesis,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ class(A,E,B)
    | ~ class(C,E,D)
    | ~ size(A,F,B)
    | ~ size(C,G,D)
    | ~ inertia(A,H,B)
    | ~ inertia(C,I,D)
    | ~ greater(G,F)
    | greater(I,H) ) ).

cnf(t9_FOL_5,negated_conjecture,
    organization(sk2,sk9) ).

cnf(t9_FOL_6,negated_conjecture,
    organization(sk3,sk10) ).

cnf(t9_FOL_7,negated_conjecture,
    reorganization_free(sk2,sk9,sk9) ).

cnf(t9_FOL_8,negated_conjecture,
    reorganization_free(sk3,sk10,sk10) ).

cnf(t9_FOL_9,negated_conjecture,
    class(sk2,sk4,sk9) ).

cnf(t9_FOL_10,negated_conjecture,
    class(sk3,sk4,sk10) ).

cnf(t9_FOL_11,negated_conjecture,
    reproducibility(sk2,sk5,sk9) ).

cnf(t9_FOL_12,negated_conjecture,
    reproducibility(sk3,sk6,sk10) ).

cnf(t9_FOL_13,negated_conjecture,
    size(sk2,sk7,sk9) ).

cnf(t9_FOL_14,negated_conjecture,
    size(sk3,sk8,sk10) ).

cnf(t9_FOL_15,negated_conjecture,
    greater(sk8,sk7) ).

cnf(t9_FOL_16,negated_conjecture,
    ~ greater(sk6,sk5) ).

cnf(refute_0_0,plain,
    ( ~ organization(sk2,sk9)
    | inertia(sk2,sk1(sk9,sk2),sk9) ),
    inference(subst,[],[mp5_1:[bind(A,$fot(sk2)),bind(B,$fot(sk9))]]) ).

cnf(refute_0_1,plain,
    inertia(sk2,sk1(sk9,sk2),sk9),
    inference(resolve,[$cnf( organization(sk2,sk9) )],[t9_FOL_5,refute_0_0]) ).

cnf(refute_0_2,plain,
    ( ~ greater(X_399,X_398)
    | ~ inertia(X_394,X_399,X_395)
    | ~ inertia(sk2,X_398,sk9)
    | ~ organization(X_394,X_395)
    | ~ organization(sk2,sk9)
    | ~ reorganization_free(X_394,X_395,X_395)
    | ~ reorganization_free(sk2,sk9,sk9)
    | ~ reproducibility(X_394,X_397,X_395)
    | ~ reproducibility(sk2,sk5,sk9)
    | greater(X_397,sk5) ),
    inference(subst,[],[a3_FOL_3:[bind(A,$fot(sk2)),bind(B,$fot(sk9)),bind(C,$fot(X_394)),bind(D,$fot(X_395)),bind(E,$fot(sk5)),bind(F,$fot(X_397)),bind(G,$fot(X_398)),bind(H,$fot(X_399))]]) ).

cnf(refute_0_3,plain,
    ( ~ greater(X_399,X_398)
    | ~ inertia(X_394,X_399,X_395)
    | ~ inertia(sk2,X_398,sk9)
    | ~ organization(X_394,X_395)
    | ~ organization(sk2,sk9)
    | ~ reorganization_free(X_394,X_395,X_395)
    | ~ reorganization_free(sk2,sk9,sk9)
    | ~ reproducibility(X_394,X_397,X_395)
    | greater(X_397,sk5) ),
    inference(resolve,[$cnf( reproducibility(sk2,sk5,sk9) )],[t9_FOL_11,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( ~ greater(X_399,X_398)
    | ~ inertia(X_394,X_399,X_395)
    | ~ inertia(sk2,X_398,sk9)
    | ~ organization(X_394,X_395)
    | ~ reorganization_free(X_394,X_395,X_395)
    | ~ reorganization_free(sk2,sk9,sk9)
    | ~ reproducibility(X_394,X_397,X_395)
    | greater(X_397,sk5) ),
    inference(resolve,[$cnf( organization(sk2,sk9) )],[t9_FOL_5,refute_0_3]) ).

cnf(refute_0_5,plain,
    ( ~ greater(X_399,X_398)
    | ~ inertia(X_394,X_399,X_395)
    | ~ inertia(sk2,X_398,sk9)
    | ~ organization(X_394,X_395)
    | ~ reorganization_free(X_394,X_395,X_395)
    | ~ reproducibility(X_394,X_397,X_395)
    | greater(X_397,sk5) ),
    inference(resolve,[$cnf( reorganization_free(sk2,sk9,sk9) )],[t9_FOL_7,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ greater(X_419,X_418)
    | ~ inertia(sk2,X_418,sk9)
    | ~ inertia(sk3,X_419,sk10)
    | ~ organization(sk3,sk10)
    | ~ reorganization_free(sk3,sk10,sk10)
    | ~ reproducibility(sk3,sk6,sk10)
    | greater(sk6,sk5) ),
    inference(subst,[],[refute_0_5:[bind(X_394,$fot(sk3)),bind(X_395,$fot(sk10)),bind(X_397,$fot(sk6)),bind(X_398,$fot(X_418)),bind(X_399,$fot(X_419))]]) ).

cnf(refute_0_7,plain,
    ( ~ greater(X_419,X_418)
    | ~ inertia(sk2,X_418,sk9)
    | ~ inertia(sk3,X_419,sk10)
    | ~ organization(sk3,sk10)
    | ~ reorganization_free(sk3,sk10,sk10)
    | greater(sk6,sk5) ),
    inference(resolve,[$cnf( reproducibility(sk3,sk6,sk10) )],[t9_FOL_12,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ greater(X_419,X_418)
    | ~ inertia(sk2,X_418,sk9)
    | ~ inertia(sk3,X_419,sk10)
    | ~ reorganization_free(sk3,sk10,sk10)
    | greater(sk6,sk5) ),
    inference(resolve,[$cnf( organization(sk3,sk10) )],[t9_FOL_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( ~ greater(X_419,X_418)
    | ~ inertia(sk2,X_418,sk9)
    | ~ inertia(sk3,X_419,sk10)
    | greater(sk6,sk5) ),
    inference(resolve,[$cnf( reorganization_free(sk3,sk10,sk10) )],[t9_FOL_8,refute_0_8]) ).

cnf(refute_0_10,plain,
    ( ~ greater(X_419,X_418)
    | ~ inertia(sk2,X_418,sk9)
    | ~ inertia(sk3,X_419,sk10) ),
    inference(resolve,[$cnf( greater(sk6,sk5) )],[refute_0_9,t9_FOL_16]) ).

cnf(refute_0_11,plain,
    ( ~ greater(X_421,sk1(sk9,sk2))
    | ~ inertia(sk2,sk1(sk9,sk2),sk9)
    | ~ inertia(sk3,X_421,sk10) ),
    inference(subst,[],[refute_0_10:[bind(X_418,$fot(sk1(sk9,sk2))),bind(X_419,$fot(X_421))]]) ).

cnf(refute_0_12,plain,
    ( ~ greater(X_421,sk1(sk9,sk2))
    | ~ inertia(sk3,X_421,sk10) ),
    inference(resolve,[$cnf( inertia(sk2,sk1(sk9,sk2),sk9) )],[refute_0_1,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ greater(sk1(sk10,sk3),sk1(sk9,sk2))
    | ~ inertia(sk3,sk1(sk10,sk3),sk10) ),
    inference(subst,[],[refute_0_12:[bind(X_421,$fot(sk1(sk10,sk3)))]]) ).

cnf(refute_0_14,plain,
    ( ~ organization(sk3,sk10)
    | inertia(sk3,sk1(sk10,sk3),sk10) ),
    inference(subst,[],[mp5_1:[bind(A,$fot(sk3)),bind(B,$fot(sk10))]]) ).

cnf(refute_0_15,plain,
    inertia(sk3,sk1(sk10,sk3),sk10),
    inference(resolve,[$cnf( organization(sk3,sk10) )],[t9_FOL_6,refute_0_14]) ).

cnf(refute_0_16,plain,
    ( ~ class(X_470,X_472,X_471)
    | ~ class(sk2,X_472,sk9)
    | ~ greater(X_474,sk7)
    | ~ inertia(X_470,X_476,X_471)
    | ~ inertia(sk2,X_475,sk9)
    | ~ organization(X_470,X_471)
    | ~ organization(sk2,sk9)
    | ~ size(X_470,X_474,X_471)
    | ~ size(sk2,sk7,sk9)
    | greater(X_476,X_475) ),
    inference(subst,[],[a5_FOL_4:[bind(A,$fot(sk2)),bind(B,$fot(sk9)),bind(C,$fot(X_470)),bind(D,$fot(X_471)),bind(E,$fot(X_472)),bind(F,$fot(sk7)),bind(G,$fot(X_474)),bind(H,$fot(X_475)),bind(I,$fot(X_476))]]) ).

cnf(refute_0_17,plain,
    ( ~ class(X_470,X_472,X_471)
    | ~ class(sk2,X_472,sk9)
    | ~ greater(X_474,sk7)
    | ~ inertia(X_470,X_476,X_471)
    | ~ inertia(sk2,X_475,sk9)
    | ~ organization(X_470,X_471)
    | ~ organization(sk2,sk9)
    | ~ size(X_470,X_474,X_471)
    | greater(X_476,X_475) ),
    inference(resolve,[$cnf( size(sk2,sk7,sk9) )],[t9_FOL_13,refute_0_16]) ).

cnf(refute_0_18,plain,
    ( ~ class(X_470,X_472,X_471)
    | ~ class(sk2,X_472,sk9)
    | ~ greater(X_474,sk7)
    | ~ inertia(X_470,X_476,X_471)
    | ~ inertia(sk2,X_475,sk9)
    | ~ organization(X_470,X_471)
    | ~ size(X_470,X_474,X_471)
    | greater(X_476,X_475) ),
    inference(resolve,[$cnf( organization(sk2,sk9) )],[t9_FOL_5,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ class(sk2,X_519,sk9)
    | ~ class(sk3,X_519,sk10)
    | ~ greater(sk8,sk7)
    | ~ inertia(sk2,X_521,sk9)
    | ~ inertia(sk3,X_522,sk10)
    | ~ organization(sk3,sk10)
    | ~ size(sk3,sk8,sk10)
    | greater(X_522,X_521) ),
    inference(subst,[],[refute_0_18:[bind(X_470,$fot(sk3)),bind(X_471,$fot(sk10)),bind(X_472,$fot(X_519)),bind(X_474,$fot(sk8)),bind(X_475,$fot(X_521)),bind(X_476,$fot(X_522))]]) ).

cnf(refute_0_20,plain,
    ( ~ class(sk2,X_519,sk9)
    | ~ class(sk3,X_519,sk10)
    | ~ greater(sk8,sk7)
    | ~ inertia(sk2,X_521,sk9)
    | ~ inertia(sk3,X_522,sk10)
    | ~ organization(sk3,sk10)
    | greater(X_522,X_521) ),
    inference(resolve,[$cnf( size(sk3,sk8,sk10) )],[t9_FOL_14,refute_0_19]) ).

cnf(refute_0_21,plain,
    ( ~ class(sk2,X_519,sk9)
    | ~ class(sk3,X_519,sk10)
    | ~ inertia(sk2,X_521,sk9)
    | ~ inertia(sk3,X_522,sk10)
    | ~ organization(sk3,sk10)
    | greater(X_522,X_521) ),
    inference(resolve,[$cnf( greater(sk8,sk7) )],[t9_FOL_15,refute_0_20]) ).

cnf(refute_0_22,plain,
    ( ~ class(sk2,X_519,sk9)
    | ~ class(sk3,X_519,sk10)
    | ~ inertia(sk2,X_521,sk9)
    | ~ inertia(sk3,X_522,sk10)
    | greater(X_522,X_521) ),
    inference(resolve,[$cnf( organization(sk3,sk10) )],[t9_FOL_6,refute_0_21]) ).

cnf(refute_0_23,plain,
    ( ~ class(sk2,X_523,sk9)
    | ~ class(sk3,X_523,sk10)
    | ~ inertia(sk2,X_524,sk9)
    | ~ inertia(sk3,sk1(sk10,sk3),sk10)
    | greater(sk1(sk10,sk3),X_524) ),
    inference(subst,[],[refute_0_22:[bind(X_519,$fot(X_523)),bind(X_521,$fot(X_524)),bind(X_522,$fot(sk1(sk10,sk3)))]]) ).

cnf(refute_0_24,plain,
    ( ~ class(sk2,X_523,sk9)
    | ~ class(sk3,X_523,sk10)
    | ~ inertia(sk2,X_524,sk9)
    | greater(sk1(sk10,sk3),X_524) ),
    inference(resolve,[$cnf( inertia(sk3,sk1(sk10,sk3),sk10) )],[refute_0_15,refute_0_23]) ).

cnf(refute_0_25,plain,
    ( ~ class(sk2,X_526,sk9)
    | ~ class(sk3,X_526,sk10)
    | ~ inertia(sk2,sk1(sk9,sk2),sk9)
    | greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
    inference(subst,[],[refute_0_24:[bind(X_523,$fot(X_526)),bind(X_524,$fot(sk1(sk9,sk2)))]]) ).

cnf(refute_0_26,plain,
    ( ~ class(sk2,X_526,sk9)
    | ~ class(sk3,X_526,sk10)
    | greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
    inference(resolve,[$cnf( inertia(sk2,sk1(sk9,sk2),sk9) )],[refute_0_1,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( ~ class(sk2,sk4,sk9)
    | ~ class(sk3,sk4,sk10)
    | greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
    inference(subst,[],[refute_0_26:[bind(X_526,$fot(sk4))]]) ).

cnf(refute_0_28,plain,
    ( ~ class(sk2,sk4,sk9)
    | greater(sk1(sk10,sk3),sk1(sk9,sk2)) ),
    inference(resolve,[$cnf( class(sk3,sk4,sk10) )],[t9_FOL_10,refute_0_27]) ).

cnf(refute_0_29,plain,
    greater(sk1(sk10,sk3),sk1(sk9,sk2)),
    inference(resolve,[$cnf( class(sk2,sk4,sk9) )],[t9_FOL_9,refute_0_28]) ).

cnf(refute_0_30,plain,
    ~ inertia(sk3,sk1(sk10,sk3),sk10),
    inference(resolve,[$cnf( greater(sk1(sk10,sk3),sk1(sk9,sk2)) )],[refute_0_29,refute_0_13]) ).

cnf(refute_0_31,plain,
    $false,
    inference(resolve,[$cnf( inertia(sk3,sk1(sk10,sk3),sk10) )],[refute_0_15,refute_0_30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT009-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 12:31:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.48  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  
% 0.20/0.48  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.48  
%------------------------------------------------------------------------------