TSTP Solution File: MGT006-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : MGT006-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 13:59:31 EDT 2009

% Result   : Unsatisfiable 2.7s
% Output   : Refutation 2.7s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   43 (  20 unt;   0 def)
%            Number of atoms       :  149 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  214 ( 108   ~; 106   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  106 (  14 sgn  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp3_1,plain,
    ! [A,B] :
      ( ~ organization(A,B)
      | reproducibility(A,sk1(B,A),B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171750528,plain,
    ( ~ organization(A,B)
    | reproducibility(A,sk1(B,A),B) ),
    inference(rewrite,[status(thm)],[mp3_1]),
    [] ).

fof(t6_FOL_7,plain,
    organization(sk2,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171840144,plain,
    organization(sk2,sk8),
    inference(rewrite,[status(thm)],[t6_FOL_7]),
    [] ).

cnf(201085616,plain,
    reproducibility(sk2,sk1(sk8,sk2),sk8),
    inference(resolution,[status(thm)],[171750528,171840144]),
    [] ).

fof(t6_FOL_13,plain,
    greater(sk8,sk7),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171871376,plain,
    greater(sk8,sk7),
    inference(rewrite,[status(thm)],[t6_FOL_13]),
    [] ).

fof(t6_FOL_8,plain,
    reorganization_free(sk2,sk7,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171844656,plain,
    reorganization_free(sk2,sk7,sk8),
    inference(rewrite,[status(thm)],[t6_FOL_8]),
    [] ).

fof(a4_FOL_5,plain,
    ! [A,B,C,D,E] :
      ( ~ 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) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171827088,plain,
    ( ~ 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) ),
    inference(rewrite,[status(thm)],[a4_FOL_5]),
    [] ).

cnf(201190272,plain,
    ( ~ organization(sk2,A)
    | ~ reorganization_free(sk2,A,sk8)
    | ~ reproducibility(sk2,B,A)
    | ~ reproducibility(sk2,C,sk8)
    | ~ greater(sk8,A)
    | greater(C,B) ),
    inference(resolution,[status(thm)],[171827088,171840144]),
    [] ).

fof(t6_FOL_6,plain,
    organization(sk2,sk7),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171831880,plain,
    organization(sk2,sk7),
    inference(rewrite,[status(thm)],[t6_FOL_6]),
    [] ).

cnf(201232304,plain,
    ( ~ reproducibility(sk2,A,sk7)
    | ~ reproducibility(sk2,B,sk8)
    | greater(B,A) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171871376,171844656,201190272,171831880]),
    [] ).

cnf(200843232,plain,
    reproducibility(sk2,sk1(sk7,sk2),sk7),
    inference(resolution,[status(thm)],[171750528,171831880]),
    [] ).

cnf(202121512,plain,
    ( ~ reproducibility(sk2,A,sk8)
    | greater(A,sk1(sk7,sk2)) ),
    inference(resolution,[status(thm)],[201232304,200843232]),
    [] ).

cnf(202525776,plain,
    greater(sk1(sk8,sk2),sk1(sk7,sk2)),
    inference(resolution,[status(thm)],[201085616,202121512]),
    [] ).

fof(a2_FOL_2,plain,
    ! [A,B,C,D,E,F,G,H,I,J] :
      ( ~ organization(A,B)
      | ~ organization(C,D)
      | ~ reliability(A,E,B)
      | ~ reliability(C,F,D)
      | ~ accountability(A,G,B)
      | ~ accountability(C,H,D)
      | ~ reproducibility(A,I,B)
      | ~ reproducibility(C,J,D)
      | ~ greater(J,I)
      | greater(F,E) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171799336,plain,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ reliability(A,E,B)
    | ~ reliability(C,F,D)
    | ~ accountability(A,G,B)
    | ~ accountability(C,H,D)
    | ~ reproducibility(A,I,B)
    | ~ reproducibility(C,J,D)
    | ~ greater(J,I)
    | greater(F,E) ),
    inference(rewrite,[status(thm)],[a2_FOL_2]),
    [] ).

fof(t6_FOL_9,plain,
    reliability(sk2,sk3,sk7),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171849640,plain,
    reliability(sk2,sk3,sk7),
    inference(rewrite,[status(thm)],[t6_FOL_9]),
    [] ).

cnf(218095912,plain,
    ( ~ organization(A,B)
    | ~ reliability(A,C,B)
    | ~ accountability(sk2,D,sk7)
    | ~ accountability(A,E,B)
    | ~ reproducibility(sk2,F,sk7)
    | ~ reproducibility(A,G,B)
    | ~ greater(G,F)
    | greater(C,sk3) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171831880,171799336,171849640]),
    [] ).

fof(t6_FOL_11,plain,
    accountability(sk2,sk5,sk7),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171862544,plain,
    accountability(sk2,sk5,sk7),
    inference(rewrite,[status(thm)],[t6_FOL_11]),
    [] ).

cnf(219314248,plain,
    ( ~ organization(A,B)
    | ~ reliability(A,C,B)
    | ~ accountability(A,D,B)
    | ~ reproducibility(sk2,E,sk7)
    | ~ reproducibility(A,F,B)
    | ~ greater(F,E)
    | greater(C,sk3) ),
    inference(resolution,[status(thm)],[218095912,171862544]),
    [] ).

cnf(223616040,plain,
    ( ~ organization(A,B)
    | ~ reliability(A,C,B)
    | ~ accountability(A,D,B)
    | ~ reproducibility(A,E,B)
    | ~ greater(E,sk1(sk7,sk2))
    | greater(C,sk3) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171831880,219314248,171750528]),
    [] ).

cnf(223648920,plain,
    ( ~ organization(A,B)
    | ~ reliability(A,C,B)
    | ~ accountability(A,D,B)
    | ~ greater(sk1(B,A),sk1(sk7,sk2))
    | greater(C,sk3) ),
    inference(resolution,[status(thm)],[223616040,171750528]),
    [] ).

fof(t6_FOL_10,plain,
    reliability(sk2,sk4,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171853816,plain,
    reliability(sk2,sk4,sk8),
    inference(rewrite,[status(thm)],[t6_FOL_10]),
    [] ).

cnf(223661920,plain,
    ( ~ accountability(sk2,A,sk8)
    | greater(sk4,sk3) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[202525776,171840144,223648920,171853816]),
    [] ).

fof(t6_FOL_12,plain,
    accountability(sk2,sk6,sk8),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171866816,plain,
    accountability(sk2,sk6,sk8),
    inference(rewrite,[status(thm)],[t6_FOL_12]),
    [] ).

fof(a2_FOL_3,plain,
    ! [A,B,C,D,E,F,G,H,I,J] :
      ( ~ organization(A,B)
      | ~ organization(C,D)
      | ~ reliability(A,E,B)
      | ~ reliability(C,F,D)
      | ~ accountability(A,G,B)
      | ~ accountability(C,H,D)
      | ~ reproducibility(A,I,B)
      | ~ reproducibility(C,J,D)
      | ~ greater(J,I)
      | greater(H,G) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171809040,plain,
    ( ~ organization(A,B)
    | ~ organization(C,D)
    | ~ reliability(A,E,B)
    | ~ reliability(C,F,D)
    | ~ accountability(A,G,B)
    | ~ accountability(C,H,D)
    | ~ reproducibility(A,I,B)
    | ~ reproducibility(C,J,D)
    | ~ greater(J,I)
    | greater(H,G) ),
    inference(rewrite,[status(thm)],[a2_FOL_3]),
    [] ).

cnf(218156256,plain,
    ( ~ organization(A,B)
    | ~ reliability(A,C,B)
    | ~ accountability(sk2,D,sk7)
    | ~ accountability(A,E,B)
    | ~ reproducibility(sk2,F,sk7)
    | ~ reproducibility(A,G,B)
    | ~ greater(G,F)
    | greater(E,D) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171831880,171809040,171849640]),
    [] ).

cnf(219392136,plain,
    ( ~ organization(A,B)
    | ~ reliability(A,C,B)
    | ~ accountability(A,D,B)
    | ~ reproducibility(sk2,E,sk7)
    | ~ reproducibility(A,F,B)
    | ~ greater(F,E)
    | greater(D,sk5) ),
    inference(resolution,[status(thm)],[218156256,171862544]),
    [] ).

cnf(223817472,plain,
    ( ~ organization(A,B)
    | ~ reliability(A,C,B)
    | ~ accountability(A,D,B)
    | ~ reproducibility(A,E,B)
    | ~ greater(E,sk1(sk7,sk2))
    | greater(D,sk5) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[171831880,219392136,171750528]),
    [] ).

cnf(223833904,plain,
    ( ~ organization(A,B)
    | ~ reliability(A,C,B)
    | ~ accountability(A,D,B)
    | ~ greater(sk1(B,A),sk1(sk7,sk2))
    | greater(D,sk5) ),
    inference(resolution,[status(thm)],[223817472,171750528]),
    [] ).

cnf(223849448,plain,
    ( ~ accountability(sk2,A,sk8)
    | greater(A,sk5) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[202525776,171840144,223833904,171853816]),
    [] ).

fof(t6_FOL_14,plain,
    ( ~ greater(sk4,sk3)
    | ~ greater(sk6,sk5) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),
    [] ).

cnf(171878096,plain,
    ( ~ greater(sk4,sk3)
    | ~ greater(sk6,sk5) ),
    inference(rewrite,[status(thm)],[t6_FOL_14]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[223661920,171866816,223849448,171878096]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 seconds
% START OF PROOF SEQUENCE
% fof(mp3_1,plain,(~organization(A,B)|reproducibility(A,sk1(B,A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171750528,plain,(~organization(A,B)|reproducibility(A,sk1(B,A),B)),inference(rewrite,[status(thm)],[mp3_1]),[]).
% 
% fof(t6_FOL_7,plain,(organization(sk2,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171840144,plain,(organization(sk2,sk8)),inference(rewrite,[status(thm)],[t6_FOL_7]),[]).
% 
% cnf(201085616,plain,(reproducibility(sk2,sk1(sk8,sk2),sk8)),inference(resolution,[status(thm)],[171750528,171840144]),[]).
% 
% fof(t6_FOL_13,plain,(greater(sk8,sk7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171871376,plain,(greater(sk8,sk7)),inference(rewrite,[status(thm)],[t6_FOL_13]),[]).
% 
% fof(t6_FOL_8,plain,(reorganization_free(sk2,sk7,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171844656,plain,(reorganization_free(sk2,sk7,sk8)),inference(rewrite,[status(thm)],[t6_FOL_8]),[]).
% 
% fof(a4_FOL_5,plain,(~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)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171827088,plain,(~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)),inference(rewrite,[status(thm)],[a4_FOL_5]),[]).
% 
% cnf(201190272,plain,(~organization(sk2,A)|~reorganization_free(sk2,A,sk8)|~reproducibility(sk2,B,A)|~reproducibility(sk2,C,sk8)|~greater(sk8,A)|greater(C,B)),inference(resolution,[status(thm)],[171827088,171840144]),[]).
% 
% fof(t6_FOL_6,plain,(organization(sk2,sk7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171831880,plain,(organization(sk2,sk7)),inference(rewrite,[status(thm)],[t6_FOL_6]),[]).
% 
% cnf(201232304,plain,(~reproducibility(sk2,A,sk7)|~reproducibility(sk2,B,sk8)|greater(B,A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171871376,171844656,201190272,171831880]),[]).
% 
% cnf(200843232,plain,(reproducibility(sk2,sk1(sk7,sk2),sk7)),inference(resolution,[status(thm)],[171750528,171831880]),[]).
% 
% cnf(202121512,plain,(~reproducibility(sk2,A,sk8)|greater(A,sk1(sk7,sk2))),inference(resolution,[status(thm)],[201232304,200843232]),[]).
% 
% cnf(202525776,plain,(greater(sk1(sk8,sk2),sk1(sk7,sk2))),inference(resolution,[status(thm)],[201085616,202121512]),[]).
% 
% fof(a2_FOL_2,plain,(~organization(A,B)|~organization(C,D)|~reliability(A,E,B)|~reliability(C,F,D)|~accountability(A,G,B)|~accountability(C,H,D)|~reproducibility(A,I,B)|~reproducibility(C,J,D)|~greater(J,I)|greater(F,E)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171799336,plain,(~organization(A,B)|~organization(C,D)|~reliability(A,E,B)|~reliability(C,F,D)|~accountability(A,G,B)|~accountability(C,H,D)|~reproducibility(A,I,B)|~reproducibility(C,J,D)|~greater(J,I)|greater(F,E)),inference(rewrite,[status(thm)],[a2_FOL_2]),[]).
% 
% fof(t6_FOL_9,plain,(reliability(sk2,sk3,sk7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171849640,plain,(reliability(sk2,sk3,sk7)),inference(rewrite,[status(thm)],[t6_FOL_9]),[]).
% 
% cnf(218095912,plain,(~organization(A,B)|~reliability(A,C,B)|~accountability(sk2,D,sk7)|~accountability(A,E,B)|~reproducibility(sk2,F,sk7)|~reproducibility(A,G,B)|~greater(G,F)|greater(C,sk3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171831880,171799336,171849640]),[]).
% 
% fof(t6_FOL_11,plain,(accountability(sk2,sk5,sk7)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171862544,plain,(accountability(sk2,sk5,sk7)),inference(rewrite,[status(thm)],[t6_FOL_11]),[]).
% 
% cnf(219314248,plain,(~organization(A,B)|~reliability(A,C,B)|~accountability(A,D,B)|~reproducibility(sk2,E,sk7)|~reproducibility(A,F,B)|~greater(F,E)|greater(C,sk3)),inference(resolution,[status(thm)],[218095912,171862544]),[]).
% 
% cnf(223616040,plain,(~organization(A,B)|~reliability(A,C,B)|~accountability(A,D,B)|~reproducibility(A,E,B)|~greater(E,sk1(sk7,sk2))|greater(C,sk3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171831880,219314248,171750528]),[]).
% 
% cnf(223648920,plain,(~organization(A,B)|~reliability(A,C,B)|~accountability(A,D,B)|~greater(sk1(B,A),sk1(sk7,sk2))|greater(C,sk3)),inference(resolution,[status(thm)],[223616040,171750528]),[]).
% 
% fof(t6_FOL_10,plain,(reliability(sk2,sk4,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171853816,plain,(reliability(sk2,sk4,sk8)),inference(rewrite,[status(thm)],[t6_FOL_10]),[]).
% 
% cnf(223661920,plain,(~accountability(sk2,A,sk8)|greater(sk4,sk3)),inference(forward_subsumption_resolution__resolution,[status(thm)],[202525776,171840144,223648920,171853816]),[]).
% 
% fof(t6_FOL_12,plain,(accountability(sk2,sk6,sk8)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171866816,plain,(accountability(sk2,sk6,sk8)),inference(rewrite,[status(thm)],[t6_FOL_12]),[]).
% 
% fof(a2_FOL_3,plain,(~organization(A,B)|~organization(C,D)|~reliability(A,E,B)|~reliability(C,F,D)|~accountability(A,G,B)|~accountability(C,H,D)|~reproducibility(A,I,B)|~reproducibility(C,J,D)|~greater(J,I)|greater(H,G)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171809040,plain,(~organization(A,B)|~organization(C,D)|~reliability(A,E,B)|~reliability(C,F,D)|~accountability(A,G,B)|~accountability(C,H,D)|~reproducibility(A,I,B)|~reproducibility(C,J,D)|~greater(J,I)|greater(H,G)),inference(rewrite,[status(thm)],[a2_FOL_3]),[]).
% 
% cnf(218156256,plain,(~organization(A,B)|~reliability(A,C,B)|~accountability(sk2,D,sk7)|~accountability(A,E,B)|~reproducibility(sk2,F,sk7)|~reproducibility(A,G,B)|~greater(G,F)|greater(E,D)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171831880,171809040,171849640]),[]).
% 
% cnf(219392136,plain,(~organization(A,B)|~reliability(A,C,B)|~accountability(A,D,B)|~reproducibility(sk2,E,sk7)|~reproducibility(A,F,B)|~greater(F,E)|greater(D,sk5)),inference(resolution,[status(thm)],[218156256,171862544]),[]).
% 
% cnf(223817472,plain,(~organization(A,B)|~reliability(A,C,B)|~accountability(A,D,B)|~reproducibility(A,E,B)|~greater(E,sk1(sk7,sk2))|greater(D,sk5)),inference(forward_subsumption_resolution__resolution,[status(thm)],[171831880,219392136,171750528]),[]).
% 
% cnf(223833904,plain,(~organization(A,B)|~reliability(A,C,B)|~accountability(A,D,B)|~greater(sk1(B,A),sk1(sk7,sk2))|greater(D,sk5)),inference(resolution,[status(thm)],[223817472,171750528]),[]).
% 
% cnf(223849448,plain,(~accountability(sk2,A,sk8)|greater(A,sk5)),inference(forward_subsumption_resolution__resolution,[status(thm)],[202525776,171840144,223833904,171853816]),[]).
% 
% fof(t6_FOL_14,plain,(~greater(sk4,sk3)|~greater(sk6,sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT006-1.tptp',unknown),[]).
% 
% cnf(171878096,plain,(~greater(sk4,sk3)|~greater(sk6,sk5)),inference(rewrite,[status(thm)],[t6_FOL_14]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[223661920,171866816,223849448,171878096]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------