TSTP Solution File: MGT016-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT016-1 : 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 22:18:51 EDT 2022
% Result : Unsatisfiable 0.21s 0.44s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 16
% Syntax : Number of clauses : 53 ( 18 unt; 13 nHn; 53 RR)
% Number of literals : 244 ( 0 equ; 183 neg)
% Maximal clause size : 13 ( 4 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 : 106 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp5_1,axiom,
( ~ organization(A,B)
| inertia(A,sk1(B,A),B) ) ).
cnf(a12_FOL_2,hypothesis,
( ~ organization(A,B)
| ~ organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,D)
| ~ complexity(A,F,B)
| ~ complexity(C,G,D)
| ~ inertia(A,H,B)
| ~ inertia(C,I,D)
| ~ greater(G,F)
| greater(I,H) ) ).
cnf(a14_FOL_3,hypothesis,
( ~ organization(A,B)
| ~ organization(C,B)
| organization(C,D)
| ~ class(A,E,B)
| ~ class(C,E,B)
| ~ reorganization(A,B,F)
| ~ reorganization(C,B,D)
| ~ reorganization_type(A,G,B)
| ~ reorganization_type(C,G,B)
| ~ inertia(A,H,B)
| ~ inertia(C,I,B)
| ~ greater(I,H)
| greater(F,D) ) ).
cnf(t16_FOL_4,negated_conjecture,
organization(sk2,sk8) ).
cnf(t16_FOL_5,negated_conjecture,
organization(sk3,sk8) ).
cnf(t16_FOL_6,negated_conjecture,
~ organization(sk3,sk10) ).
cnf(t16_FOL_7,negated_conjecture,
class(sk2,sk5,sk8) ).
cnf(t16_FOL_8,negated_conjecture,
class(sk3,sk5,sk8) ).
cnf(t16_FOL_9,negated_conjecture,
reorganization(sk2,sk8,sk9) ).
cnf(t16_FOL_10,negated_conjecture,
reorganization(sk3,sk8,sk10) ).
cnf(t16_FOL_11,negated_conjecture,
reorganization_type(sk2,sk4,sk8) ).
cnf(t16_FOL_12,negated_conjecture,
reorganization_type(sk3,sk4,sk8) ).
cnf(t16_FOL_13,negated_conjecture,
complexity(sk2,sk6,sk8) ).
cnf(t16_FOL_14,negated_conjecture,
complexity(sk3,sk7,sk8) ).
cnf(t16_FOL_15,negated_conjecture,
greater(sk7,sk6) ).
cnf(t16_FOL_16,negated_conjecture,
~ greater(sk9,sk10) ).
cnf(refute_0_0,plain,
( ~ organization(sk3,sk8)
| inertia(sk3,sk1(sk8,sk3),sk8) ),
inference(subst,[],[mp5_1:[bind(A,$fot(sk3)),bind(B,$fot(sk8))]]) ).
cnf(refute_0_1,plain,
inertia(sk3,sk1(sk8,sk3),sk8),
inference(resolve,[$cnf( organization(sk3,sk8) )],[t16_FOL_5,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ organization(sk2,sk8)
| inertia(sk2,sk1(sk8,sk2),sk8) ),
inference(subst,[],[mp5_1:[bind(A,$fot(sk2)),bind(B,$fot(sk8))]]) ).
cnf(refute_0_3,plain,
inertia(sk2,sk1(sk8,sk2),sk8),
inference(resolve,[$cnf( organization(sk2,sk8) )],[t16_FOL_4,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ class(X_214,X_216,X_215)
| ~ class(sk2,X_216,sk8)
| ~ complexity(X_214,X_218,X_215)
| ~ complexity(sk2,X_217,sk8)
| ~ greater(X_218,X_217)
| ~ inertia(X_214,X_220,X_215)
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ organization(X_214,X_215)
| ~ organization(sk2,sk8)
| greater(X_220,sk1(sk8,sk2)) ),
inference(subst,[],[a12_FOL_2:[bind(A,$fot(sk2)),bind(B,$fot(sk8)),bind(C,$fot(X_214)),bind(D,$fot(X_215)),bind(E,$fot(X_216)),bind(F,$fot(X_217)),bind(G,$fot(X_218)),bind(H,$fot(sk1(sk8,sk2))),bind(I,$fot(X_220))]]) ).
cnf(refute_0_5,plain,
( ~ class(X_214,X_216,X_215)
| ~ class(sk2,X_216,sk8)
| ~ complexity(X_214,X_218,X_215)
| ~ complexity(sk2,X_217,sk8)
| ~ greater(X_218,X_217)
| ~ inertia(X_214,X_220,X_215)
| ~ organization(X_214,X_215)
| ~ organization(sk2,sk8)
| greater(X_220,sk1(sk8,sk2)) ),
inference(resolve,[$cnf( inertia(sk2,sk1(sk8,sk2),sk8) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ class(X_214,X_216,X_215)
| ~ class(sk2,X_216,sk8)
| ~ complexity(X_214,X_218,X_215)
| ~ complexity(sk2,X_217,sk8)
| ~ greater(X_218,X_217)
| ~ inertia(X_214,X_220,X_215)
| ~ organization(X_214,X_215)
| greater(X_220,sk1(sk8,sk2)) ),
inference(resolve,[$cnf( organization(sk2,sk8) )],[t16_FOL_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ class(sk2,X_235,sk8)
| ~ class(sk3,X_235,sk8)
| ~ complexity(sk2,X_236,sk8)
| ~ complexity(sk3,X_237,sk8)
| ~ greater(X_237,X_236)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ organization(sk3,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(subst,[],[refute_0_6:[bind(X_214,$fot(sk3)),bind(X_215,$fot(sk8)),bind(X_216,$fot(X_235)),bind(X_217,$fot(X_236)),bind(X_218,$fot(X_237)),bind(X_220,$fot(sk1(sk8,sk3)))]]) ).
cnf(refute_0_8,plain,
( ~ class(sk2,X_235,sk8)
| ~ class(sk3,X_235,sk8)
| ~ complexity(sk2,X_236,sk8)
| ~ complexity(sk3,X_237,sk8)
| ~ greater(X_237,X_236)
| ~ organization(sk3,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(resolve,[$cnf( inertia(sk3,sk1(sk8,sk3),sk8) )],[refute_0_1,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ class(sk2,X_235,sk8)
| ~ class(sk3,X_235,sk8)
| ~ complexity(sk2,X_236,sk8)
| ~ complexity(sk3,X_237,sk8)
| ~ greater(X_237,X_236)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(resolve,[$cnf( organization(sk3,sk8) )],[t16_FOL_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ class(sk2,X_239,sk8)
| ~ class(sk3,X_239,sk8)
| ~ complexity(sk2,X_240,sk8)
| ~ complexity(sk3,sk7,sk8)
| ~ greater(sk7,X_240)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(subst,[],[refute_0_9:[bind(X_235,$fot(X_239)),bind(X_236,$fot(X_240)),bind(X_237,$fot(sk7))]]) ).
cnf(refute_0_11,plain,
( ~ class(sk2,X_239,sk8)
| ~ class(sk3,X_239,sk8)
| ~ complexity(sk2,X_240,sk8)
| ~ greater(sk7,X_240)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(resolve,[$cnf( complexity(sk3,sk7,sk8) )],[t16_FOL_14,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ class(sk2,X_242,sk8)
| ~ class(sk3,X_242,sk8)
| ~ complexity(sk2,sk6,sk8)
| ~ greater(sk7,sk6)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(subst,[],[refute_0_11:[bind(X_239,$fot(X_242)),bind(X_240,$fot(sk6))]]) ).
cnf(refute_0_13,plain,
( ~ class(sk2,X_242,sk8)
| ~ class(sk3,X_242,sk8)
| ~ greater(sk7,sk6)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(resolve,[$cnf( complexity(sk2,sk6,sk8) )],[t16_FOL_13,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ class(sk2,X_242,sk8)
| ~ class(sk3,X_242,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(resolve,[$cnf( greater(sk7,sk6) )],[t16_FOL_15,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ class(sk2,sk5,sk8)
| ~ class(sk3,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(subst,[],[refute_0_14:[bind(X_242,$fot(sk5))]]) ).
cnf(refute_0_16,plain,
( ~ class(sk2,sk5,sk8)
| greater(sk1(sk8,sk3),sk1(sk8,sk2)) ),
inference(resolve,[$cnf( class(sk3,sk5,sk8) )],[t16_FOL_8,refute_0_15]) ).
cnf(refute_0_17,plain,
greater(sk1(sk8,sk3),sk1(sk8,sk2)),
inference(resolve,[$cnf( class(sk2,sk5,sk8) )],[t16_FOL_7,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ class(X_324,X_328,sk8)
| ~ class(sk3,X_328,sk8)
| ~ greater(X_332,X_331)
| ~ inertia(X_324,X_331,sk8)
| ~ inertia(sk3,X_332,sk8)
| ~ organization(X_324,sk8)
| ~ organization(sk3,sk8)
| ~ reorganization(X_324,sk8,X_329)
| ~ reorganization(sk3,sk8,X_327)
| ~ reorganization_type(X_324,sk4,sk8)
| ~ reorganization_type(sk3,sk4,sk8)
| greater(X_329,X_327)
| organization(sk3,X_327) ),
inference(subst,[],[a14_FOL_3:[bind(A,$fot(X_324)),bind(B,$fot(sk8)),bind(C,$fot(sk3)),bind(D,$fot(X_327)),bind(E,$fot(X_328)),bind(F,$fot(X_329)),bind(G,$fot(sk4)),bind(H,$fot(X_331)),bind(I,$fot(X_332))]]) ).
cnf(refute_0_19,plain,
( ~ class(X_324,X_328,sk8)
| ~ class(sk3,X_328,sk8)
| ~ greater(X_332,X_331)
| ~ inertia(X_324,X_331,sk8)
| ~ inertia(sk3,X_332,sk8)
| ~ organization(X_324,sk8)
| ~ organization(sk3,sk8)
| ~ reorganization(X_324,sk8,X_329)
| ~ reorganization(sk3,sk8,X_327)
| ~ reorganization_type(X_324,sk4,sk8)
| greater(X_329,X_327)
| organization(sk3,X_327) ),
inference(resolve,[$cnf( reorganization_type(sk3,sk4,sk8) )],[t16_FOL_12,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ class(X_324,X_328,sk8)
| ~ class(sk3,X_328,sk8)
| ~ greater(X_332,X_331)
| ~ inertia(X_324,X_331,sk8)
| ~ inertia(sk3,X_332,sk8)
| ~ organization(X_324,sk8)
| ~ reorganization(X_324,sk8,X_329)
| ~ reorganization(sk3,sk8,X_327)
| ~ reorganization_type(X_324,sk4,sk8)
| greater(X_329,X_327)
| organization(sk3,X_327) ),
inference(resolve,[$cnf( organization(sk3,sk8) )],[t16_FOL_5,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ class(sk2,X_335,sk8)
| ~ class(sk3,X_335,sk8)
| ~ greater(X_338,sk1(sk8,sk2))
| ~ inertia(sk2,sk1(sk8,sk2),sk8)
| ~ inertia(sk3,X_338,sk8)
| ~ organization(sk2,sk8)
| ~ reorganization(sk2,sk8,X_336)
| ~ reorganization(sk3,sk8,X_334)
| ~ reorganization_type(sk2,sk4,sk8)
| greater(X_336,X_334)
| organization(sk3,X_334) ),
inference(subst,[],[refute_0_20:[bind(X_324,$fot(sk2)),bind(X_327,$fot(X_334)),bind(X_328,$fot(X_335)),bind(X_329,$fot(X_336)),bind(X_331,$fot(sk1(sk8,sk2))),bind(X_332,$fot(X_338))]]) ).
cnf(refute_0_22,plain,
( ~ class(sk2,X_335,sk8)
| ~ class(sk3,X_335,sk8)
| ~ greater(X_338,sk1(sk8,sk2))
| ~ inertia(sk3,X_338,sk8)
| ~ organization(sk2,sk8)
| ~ reorganization(sk2,sk8,X_336)
| ~ reorganization(sk3,sk8,X_334)
| ~ reorganization_type(sk2,sk4,sk8)
| greater(X_336,X_334)
| organization(sk3,X_334) ),
inference(resolve,[$cnf( inertia(sk2,sk1(sk8,sk2),sk8) )],[refute_0_3,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ class(sk2,X_335,sk8)
| ~ class(sk3,X_335,sk8)
| ~ greater(X_338,sk1(sk8,sk2))
| ~ inertia(sk3,X_338,sk8)
| ~ reorganization(sk2,sk8,X_336)
| ~ reorganization(sk3,sk8,X_334)
| ~ reorganization_type(sk2,sk4,sk8)
| greater(X_336,X_334)
| organization(sk3,X_334) ),
inference(resolve,[$cnf( organization(sk2,sk8) )],[t16_FOL_4,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ class(sk2,X_335,sk8)
| ~ class(sk3,X_335,sk8)
| ~ greater(X_338,sk1(sk8,sk2))
| ~ inertia(sk3,X_338,sk8)
| ~ reorganization(sk2,sk8,X_336)
| ~ reorganization(sk3,sk8,X_334)
| greater(X_336,X_334)
| organization(sk3,X_334) ),
inference(resolve,[$cnf( reorganization_type(sk2,sk4,sk8) )],[t16_FOL_11,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ class(sk2,X_340,sk8)
| ~ class(sk3,X_340,sk8)
| ~ greater(sk1(sk8,sk3),sk1(sk8,sk2))
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ reorganization(sk2,sk8,X_341)
| ~ reorganization(sk3,sk8,X_339)
| greater(X_341,X_339)
| organization(sk3,X_339) ),
inference(subst,[],[refute_0_24:[bind(X_334,$fot(X_339)),bind(X_335,$fot(X_340)),bind(X_336,$fot(X_341)),bind(X_338,$fot(sk1(sk8,sk3)))]]) ).
cnf(refute_0_26,plain,
( ~ class(sk2,X_340,sk8)
| ~ class(sk3,X_340,sk8)
| ~ inertia(sk3,sk1(sk8,sk3),sk8)
| ~ reorganization(sk2,sk8,X_341)
| ~ reorganization(sk3,sk8,X_339)
| greater(X_341,X_339)
| organization(sk3,X_339) ),
inference(resolve,[$cnf( greater(sk1(sk8,sk3),sk1(sk8,sk2)) )],[refute_0_17,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ class(sk2,X_340,sk8)
| ~ class(sk3,X_340,sk8)
| ~ reorganization(sk2,sk8,X_341)
| ~ reorganization(sk3,sk8,X_339)
| greater(X_341,X_339)
| organization(sk3,X_339) ),
inference(resolve,[$cnf( inertia(sk3,sk1(sk8,sk3),sk8) )],[refute_0_1,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ class(sk2,X_344,sk8)
| ~ class(sk3,X_344,sk8)
| ~ reorganization(sk2,sk8,X_345)
| ~ reorganization(sk3,sk8,sk10)
| greater(X_345,sk10)
| organization(sk3,sk10) ),
inference(subst,[],[refute_0_27:[bind(X_339,$fot(sk10)),bind(X_340,$fot(X_344)),bind(X_341,$fot(X_345))]]) ).
cnf(refute_0_29,plain,
( ~ class(sk2,X_344,sk8)
| ~ class(sk3,X_344,sk8)
| ~ reorganization(sk2,sk8,X_345)
| greater(X_345,sk10)
| organization(sk3,sk10) ),
inference(resolve,[$cnf( reorganization(sk3,sk8,sk10) )],[t16_FOL_10,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ class(sk2,X_344,sk8)
| ~ class(sk3,X_344,sk8)
| ~ reorganization(sk2,sk8,X_345)
| greater(X_345,sk10) ),
inference(resolve,[$cnf( organization(sk3,sk10) )],[refute_0_29,t16_FOL_6]) ).
cnf(refute_0_31,plain,
( ~ class(sk2,X_346,sk8)
| ~ class(sk3,X_346,sk8)
| ~ reorganization(sk2,sk8,sk9)
| greater(sk9,sk10) ),
inference(subst,[],[refute_0_30:[bind(X_344,$fot(X_346)),bind(X_345,$fot(sk9))]]) ).
cnf(refute_0_32,plain,
( ~ class(sk2,X_346,sk8)
| ~ class(sk3,X_346,sk8)
| greater(sk9,sk10) ),
inference(resolve,[$cnf( reorganization(sk2,sk8,sk9) )],[t16_FOL_9,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ class(sk2,X_346,sk8)
| ~ class(sk3,X_346,sk8) ),
inference(resolve,[$cnf( greater(sk9,sk10) )],[refute_0_32,t16_FOL_16]) ).
cnf(refute_0_34,plain,
( ~ class(sk2,sk5,sk8)
| ~ class(sk3,sk5,sk8) ),
inference(subst,[],[refute_0_33:[bind(X_346,$fot(sk5))]]) ).
cnf(refute_0_35,plain,
~ class(sk2,sk5,sk8),
inference(resolve,[$cnf( class(sk3,sk5,sk8) )],[t16_FOL_8,refute_0_34]) ).
cnf(refute_0_36,plain,
$false,
inference(resolve,[$cnf( class(sk2,sk5,sk8) )],[t16_FOL_7,refute_0_35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT016-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % 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 08:03:34 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44
% 0.21/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.45
%------------------------------------------------------------------------------