TSTP Solution File: MGT002-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT002-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 22:18:46 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of clauses : 43 ( 14 unt; 0 nHn; 43 RR)
% Number of literals : 149 ( 0 equ; 107 neg)
% Maximal clause size : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp3_1,axiom,
( ~ organization(A,B)
| reproducibility(A,sk1(B,A),B) ) ).
cnf(mp4_2,axiom,
( ~ reorganization_free(A,B,C)
| reorganization_free(A,B,B) ) ).
cnf(mp4_3,axiom,
( ~ reorganization_free(A,B,C)
| reorganization_free(A,C,C) ) ).
cnf(a3_FOL_4,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(F,E)
| greater(H,G) ) ).
cnf(a4_FOL_6,hypothesis,
( ~ organization(A,B)
| ~ organization(A,C)
| ~ reorganization_free(A,B,C)
| ~ reproducibility(A,D,B)
| ~ reproducibility(A,E,C)
| ~ greater(C,B)
| greater(E,D) ) ).
cnf(t2_FOL_7,negated_conjecture,
organization(sk2,sk5) ).
cnf(t2_FOL_8,negated_conjecture,
organization(sk2,sk6) ).
cnf(t2_FOL_9,negated_conjecture,
reorganization_free(sk2,sk5,sk6) ).
cnf(t2_FOL_10,negated_conjecture,
inertia(sk2,sk3,sk5) ).
cnf(t2_FOL_11,negated_conjecture,
inertia(sk2,sk4,sk6) ).
cnf(t2_FOL_12,negated_conjecture,
greater(sk6,sk5) ).
cnf(t2_FOL_13,negated_conjecture,
~ greater(sk4,sk3) ).
cnf(refute_0_0,plain,
( ~ organization(sk2,sk6)
| reproducibility(sk2,sk1(sk6,sk2),sk6) ),
inference(subst,[],[mp3_1:[bind(A,$fot(sk2)),bind(B,$fot(sk6))]]) ).
cnf(refute_0_1,plain,
reproducibility(sk2,sk1(sk6,sk2),sk6),
inference(resolve,[$cnf( organization(sk2,sk6) )],[t2_FOL_8,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ organization(sk2,sk5)
| reproducibility(sk2,sk1(sk5,sk2),sk5) ),
inference(subst,[],[mp3_1:[bind(A,$fot(sk2)),bind(B,$fot(sk5))]]) ).
cnf(refute_0_3,plain,
reproducibility(sk2,sk1(sk5,sk2),sk5),
inference(resolve,[$cnf( organization(sk2,sk5) )],[t2_FOL_7,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ greater(X_13,sk5)
| ~ organization(sk2,X_13)
| ~ organization(sk2,sk5)
| ~ reorganization_free(sk2,sk5,X_13)
| ~ reproducibility(sk2,X_15,X_13)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| greater(X_15,sk1(sk5,sk2)) ),
inference(subst,[],[a4_FOL_6:[bind(A,$fot(sk2)),bind(B,$fot(sk5)),bind(C,$fot(X_13)),bind(D,$fot(sk1(sk5,sk2))),bind(E,$fot(X_15))]]) ).
cnf(refute_0_5,plain,
( ~ greater(X_13,sk5)
| ~ organization(sk2,X_13)
| ~ organization(sk2,sk5)
| ~ reorganization_free(sk2,sk5,X_13)
| ~ reproducibility(sk2,X_15,X_13)
| greater(X_15,sk1(sk5,sk2)) ),
inference(resolve,[$cnf( reproducibility(sk2,sk1(sk5,sk2),sk5) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ greater(X_13,sk5)
| ~ organization(sk2,X_13)
| ~ reorganization_free(sk2,sk5,X_13)
| ~ reproducibility(sk2,X_15,X_13)
| greater(X_15,sk1(sk5,sk2)) ),
inference(resolve,[$cnf( organization(sk2,sk5) )],[t2_FOL_7,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ greater(sk6,sk5)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2)) ),
inference(subst,[],[refute_0_6:[bind(X_13,$fot(sk6)),bind(X_15,$fot(sk1(sk6,sk2)))]]) ).
cnf(refute_0_8,plain,
( ~ greater(sk6,sk5)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2)) ),
inference(resolve,[$cnf( reproducibility(sk2,sk1(sk6,sk2),sk6) )],[refute_0_1,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk5,sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2)) ),
inference(resolve,[$cnf( greater(sk6,sk5) )],[t2_FOL_12,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ reorganization_free(sk2,sk5,sk6)
| greater(sk1(sk6,sk2),sk1(sk5,sk2)) ),
inference(resolve,[$cnf( organization(sk2,sk6) )],[t2_FOL_8,refute_0_9]) ).
cnf(refute_0_11,plain,
greater(sk1(sk6,sk2),sk1(sk5,sk2)),
inference(resolve,[$cnf( reorganization_free(sk2,sk5,sk6) )],[t2_FOL_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ greater(X_125,sk1(sk5,sk2))
| ~ inertia(X_122,X_127,X_123)
| ~ inertia(sk2,X_126,sk5)
| ~ organization(X_122,X_123)
| ~ organization(sk2,sk5)
| ~ reorganization_free(X_122,X_123,X_123)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ reproducibility(X_122,X_125,X_123)
| ~ reproducibility(sk2,sk1(sk5,sk2),sk5)
| greater(X_127,X_126) ),
inference(subst,[],[a3_FOL_4:[bind(A,$fot(sk2)),bind(B,$fot(sk5)),bind(C,$fot(X_122)),bind(D,$fot(X_123)),bind(E,$fot(sk1(sk5,sk2))),bind(F,$fot(X_125)),bind(G,$fot(X_126)),bind(H,$fot(X_127))]]) ).
cnf(refute_0_13,plain,
( ~ greater(X_125,sk1(sk5,sk2))
| ~ inertia(X_122,X_127,X_123)
| ~ inertia(sk2,X_126,sk5)
| ~ organization(X_122,X_123)
| ~ organization(sk2,sk5)
| ~ reorganization_free(X_122,X_123,X_123)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ reproducibility(X_122,X_125,X_123)
| greater(X_127,X_126) ),
inference(resolve,[$cnf( reproducibility(sk2,sk1(sk5,sk2),sk5) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ greater(X_125,sk1(sk5,sk2))
| ~ inertia(X_122,X_127,X_123)
| ~ inertia(sk2,X_126,sk5)
| ~ organization(X_122,X_123)
| ~ reorganization_free(X_122,X_123,X_123)
| ~ reorganization_free(sk2,sk5,sk5)
| ~ reproducibility(X_122,X_125,X_123)
| greater(X_127,X_126) ),
inference(resolve,[$cnf( organization(sk2,sk5) )],[t2_FOL_7,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk5,sk5) ),
inference(subst,[],[mp4_2:[bind(A,$fot(sk2)),bind(B,$fot(sk5)),bind(C,$fot(sk6))]]) ).
cnf(refute_0_16,plain,
reorganization_free(sk2,sk5,sk5),
inference(resolve,[$cnf( reorganization_free(sk2,sk5,sk6) )],[t2_FOL_9,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ greater(X_125,sk1(sk5,sk2))
| ~ inertia(X_122,X_127,X_123)
| ~ inertia(sk2,X_126,sk5)
| ~ organization(X_122,X_123)
| ~ reorganization_free(X_122,X_123,X_123)
| ~ reproducibility(X_122,X_125,X_123)
| greater(X_127,X_126) ),
inference(resolve,[$cnf( reorganization_free(sk2,sk5,sk5) )],[refute_0_16,refute_0_14]) ).
cnf(refute_0_18,plain,
( ~ greater(sk1(sk6,sk2),sk1(sk5,sk2))
| ~ inertia(X_133,X_137,X_134)
| ~ inertia(sk2,X_136,sk5)
| ~ organization(X_133,X_134)
| ~ reorganization_free(X_133,X_134,X_134)
| ~ reproducibility(X_133,sk1(sk6,sk2),X_134)
| greater(X_137,X_136) ),
inference(subst,[],[refute_0_17:[bind(X_122,$fot(X_133)),bind(X_123,$fot(X_134)),bind(X_125,$fot(sk1(sk6,sk2))),bind(X_126,$fot(X_136)),bind(X_127,$fot(X_137))]]) ).
cnf(refute_0_19,plain,
( ~ inertia(X_133,X_137,X_134)
| ~ inertia(sk2,X_136,sk5)
| ~ organization(X_133,X_134)
| ~ reorganization_free(X_133,X_134,X_134)
| ~ reproducibility(X_133,sk1(sk6,sk2),X_134)
| greater(X_137,X_136) ),
inference(resolve,[$cnf( greater(sk1(sk6,sk2),sk1(sk5,sk2)) )],[refute_0_11,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ inertia(sk2,X_140,sk5)
| ~ inertia(sk2,X_141,sk6)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| ~ reproducibility(sk2,sk1(sk6,sk2),sk6)
| greater(X_141,X_140) ),
inference(subst,[],[refute_0_19:[bind(X_133,$fot(sk2)),bind(X_134,$fot(sk6)),bind(X_136,$fot(X_140)),bind(X_137,$fot(X_141))]]) ).
cnf(refute_0_21,plain,
( ~ inertia(sk2,X_140,sk5)
| ~ inertia(sk2,X_141,sk6)
| ~ organization(sk2,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| greater(X_141,X_140) ),
inference(resolve,[$cnf( reproducibility(sk2,sk1(sk6,sk2),sk6) )],[refute_0_1,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ inertia(sk2,X_140,sk5)
| ~ inertia(sk2,X_141,sk6)
| ~ reorganization_free(sk2,sk6,sk6)
| greater(X_141,X_140) ),
inference(resolve,[$cnf( organization(sk2,sk6) )],[t2_FOL_8,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ reorganization_free(sk2,sk5,sk6)
| reorganization_free(sk2,sk6,sk6) ),
inference(subst,[],[mp4_3:[bind(A,$fot(sk2)),bind(B,$fot(sk5)),bind(C,$fot(sk6))]]) ).
cnf(refute_0_24,plain,
reorganization_free(sk2,sk6,sk6),
inference(resolve,[$cnf( reorganization_free(sk2,sk5,sk6) )],[t2_FOL_9,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ inertia(sk2,X_140,sk5)
| ~ inertia(sk2,X_141,sk6)
| greater(X_141,X_140) ),
inference(resolve,[$cnf( reorganization_free(sk2,sk6,sk6) )],[refute_0_24,refute_0_22]) ).
cnf(refute_0_26,plain,
( ~ inertia(sk2,X_143,sk6)
| ~ inertia(sk2,sk3,sk5)
| greater(X_143,sk3) ),
inference(subst,[],[refute_0_25:[bind(X_140,$fot(sk3)),bind(X_141,$fot(X_143))]]) ).
cnf(refute_0_27,plain,
( ~ inertia(sk2,X_143,sk6)
| greater(X_143,sk3) ),
inference(resolve,[$cnf( inertia(sk2,sk3,sk5) )],[t2_FOL_10,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ inertia(sk2,sk4,sk6)
| greater(sk4,sk3) ),
inference(subst,[],[refute_0_27:[bind(X_143,$fot(sk4))]]) ).
cnf(refute_0_29,plain,
greater(sk4,sk3),
inference(resolve,[$cnf( inertia(sk2,sk4,sk6) )],[t2_FOL_11,refute_0_28]) ).
cnf(refute_0_30,plain,
$false,
inference(resolve,[$cnf( greater(sk4,sk3) )],[refute_0_29,t2_FOL_13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT002-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 12:06:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37
% 0.13/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38
%------------------------------------------------------------------------------