TSTP Solution File: MGT006-1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : MGT006-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n020.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  : 300s
% DateTime : Wed Jul 27 13:05:57 EDT 2022

% Result   : Unsatisfiable 1.58s 2.13s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   19 (  14 unt;   0 nHn;  19 RR)
%            Number of literals    :   45 (   0 equ;  27 neg)
%            Maximal clause size   :   10 (   2 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   :   27 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ organization(A,B)
    | reproducibility(A,sk1(B,A),B) ),
    file('MGT006-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ 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('MGT006-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ 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('MGT006-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ 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('MGT006-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ greater(sk4,sk3)
    | ~ greater(sk6,sk5) ),
    file('MGT006-1.p',unknown),
    [] ).

cnf(7,axiom,
    organization(sk2,sk7),
    file('MGT006-1.p',unknown),
    [] ).

cnf(8,axiom,
    organization(sk2,sk8),
    file('MGT006-1.p',unknown),
    [] ).

cnf(9,axiom,
    reorganization_free(sk2,sk7,sk8),
    file('MGT006-1.p',unknown),
    [] ).

cnf(10,axiom,
    reliability(sk2,sk3,sk7),
    file('MGT006-1.p',unknown),
    [] ).

cnf(11,axiom,
    reliability(sk2,sk4,sk8),
    file('MGT006-1.p',unknown),
    [] ).

cnf(12,axiom,
    accountability(sk2,sk5,sk7),
    file('MGT006-1.p',unknown),
    [] ).

cnf(13,axiom,
    accountability(sk2,sk6,sk8),
    file('MGT006-1.p',unknown),
    [] ).

cnf(14,axiom,
    greater(sk8,sk7),
    file('MGT006-1.p',unknown),
    [] ).

cnf(15,plain,
    reproducibility(sk2,sk1(sk7,sk2),sk7),
    inference(hyper,[status(thm)],[7,1]),
    [iquote('hyper,7,1')] ).

cnf(16,plain,
    reproducibility(sk2,sk1(sk8,sk2),sk8),
    inference(hyper,[status(thm)],[8,1]),
    [iquote('hyper,8,1')] ).

cnf(17,plain,
    greater(sk1(sk8,sk2),sk1(sk7,sk2)),
    inference(hyper,[status(thm)],[16,5,7,8,9,15,14]),
    [iquote('hyper,16,5,7,8,9,15,14')] ).

cnf(18,plain,
    greater(sk6,sk5),
    inference(hyper,[status(thm)],[17,3,7,8,10,11,12,13,15,16]),
    [iquote('hyper,17,3,7,8,10,11,12,13,15,16')] ).

cnf(19,plain,
    greater(sk4,sk3),
    inference(hyper,[status(thm)],[17,2,7,8,10,11,12,13,15,16]),
    [iquote('hyper,17,2,7,8,10,11,12,13,15,16')] ).

cnf(20,plain,
    $false,
    inference(hyper,[status(thm)],[19,6,18]),
    [iquote('hyper,19,6,18')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT006-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n020.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  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 04:02:23 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.58/2.13  ----- Otter 3.3f, August 2004 -----
% 1.58/2.13  The process was started by sandbox2 on n020.cluster.edu,
% 1.58/2.13  Wed Jul 27 04:02:23 2022
% 1.58/2.13  The command was "./otter".  The process ID is 29785.
% 1.58/2.13  
% 1.58/2.13  set(prolog_style_variables).
% 1.58/2.13  set(auto).
% 1.58/2.13     dependent: set(auto1).
% 1.58/2.13     dependent: set(process_input).
% 1.58/2.13     dependent: clear(print_kept).
% 1.58/2.13     dependent: clear(print_new_demod).
% 1.58/2.13     dependent: clear(print_back_demod).
% 1.58/2.13     dependent: clear(print_back_sub).
% 1.58/2.13     dependent: set(control_memory).
% 1.58/2.13     dependent: assign(max_mem, 12000).
% 1.58/2.13     dependent: assign(pick_given_ratio, 4).
% 1.58/2.13     dependent: assign(stats_level, 1).
% 1.58/2.13     dependent: assign(max_seconds, 10800).
% 1.58/2.13  clear(print_given).
% 1.58/2.13  
% 1.58/2.13  list(usable).
% 1.58/2.13  0 [] -organization(A,B)|reproducibility(A,sk1(B,A),B).
% 1.58/2.13  0 [] -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).
% 1.58/2.13  0 [] -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).
% 1.58/2.13  0 [] -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(F,E)| -greater(H,G)|greater(J,I).
% 1.58/2.13  0 [] -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).
% 1.58/2.13  0 [] organization(sk2,sk7).
% 1.58/2.13  0 [] organization(sk2,sk8).
% 1.58/2.13  0 [] reorganization_free(sk2,sk7,sk8).
% 1.58/2.13  0 [] reliability(sk2,sk3,sk7).
% 1.58/2.13  0 [] reliability(sk2,sk4,sk8).
% 1.58/2.13  0 [] accountability(sk2,sk5,sk7).
% 1.58/2.13  0 [] accountability(sk2,sk6,sk8).
% 1.58/2.13  0 [] greater(sk8,sk7).
% 1.58/2.13  0 [] -greater(sk4,sk3)| -greater(sk6,sk5).
% 1.58/2.13  end_of_list.
% 1.58/2.13  
% 1.58/2.13  SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=11.
% 1.58/2.13  
% 1.58/2.13  This is a Horn set without equality.  The strategy will
% 1.58/2.13  be hyperresolution, with satellites in sos and nuclei
% 1.58/2.13  in usable.
% 1.58/2.13  
% 1.58/2.13     dependent: set(hyper_res).
% 1.58/2.13     dependent: clear(order_hyper).
% 1.58/2.13  
% 1.58/2.13  ------------> process usable:
% 1.58/2.13  ** KEPT (pick-wt=9): 1 [] -organization(A,B)|reproducibility(A,sk1(B,A),B).
% 1.58/2.13  ** KEPT (pick-wt=36): 2 [] -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).
% 1.58/2.13  ** KEPT (pick-wt=36): 3 [] -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).
% 1.58/2.13  ** KEPT (pick-wt=39): 4 [] -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(F,E)| -greater(H,G)|greater(J,I).
% 1.58/2.13  ** KEPT (pick-wt=24): 5 [] -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).
% 1.58/2.13  ** KEPT (pick-wt=6): 6 [] -greater(sk4,sk3)| -greater(sk6,sk5).
% 1.58/2.13  
% 1.58/2.13  ------------> process sos:
% 1.58/2.13  ** KEPT (pick-wt=3): 7 [] organization(sk2,sk7).
% 1.58/2.13  ** KEPT (pick-wt=3): 8 [] organization(sk2,sk8).
% 1.58/2.13  ** KEPT (pick-wt=4): 9 [] reorganization_free(sk2,sk7,sk8).
% 1.58/2.13  ** KEPT (pick-wt=4): 10 [] reliability(sk2,sk3,sk7).
% 1.58/2.13  ** KEPT (pick-wt=4): 11 [] reliability(sk2,sk4,sk8).
% 1.58/2.13  ** KEPT (pick-wt=4): 12 [] accountability(sk2,sk5,sk7).
% 1.58/2.13  ** KEPT (pick-wt=4): 13 [] accountability(sk2,sk6,sk8).
% 1.58/2.13  ** KEPT (pick-wt=3): 14 [] greater(sk8,sk7).
% 1.58/2.13  
% 1.58/2.13  ======= end of input processing =======
% 1.58/2.13  
% 1.58/2.13  =========== start of search ===========
% 1.58/2.13  
% 1.58/2.13  -------- PROOF -------- 
% 1.58/2.13  
% 1.58/2.13  -----> EMPTY CLAUSE at   0.00 sec ----> 20 [hyper,19,6,18] $F.
% 1.58/2.13  
% 1.58/2.13  Length of proof is 5.  Level of proof is 3.
% 1.58/2.13  
% 1.58/2.13  ---------------- PROOF ----------------
% 1.58/2.13  % SZS status Unsatisfiable
% 1.58/2.13  % SZS output start Refutation
% See solution above
% 1.58/2.13  ------------ end of proof -------------
% 1.58/2.13  
% 1.58/2.13  
% 1.58/2.13  Search stopped by max_proofs option.
% 1.58/2.13  
% 1.58/2.13  
% 1.58/2.13  Search stopped by max_proofs option.
% 1.58/2.13  
% 1.58/2.13  ============ end of search ============
% 1.58/2.13  
% 1.58/2.13  -------------- statistics -------------
% 1.58/2.13  clauses given                 13
% 1.58/2.13  clauses generated              6
% 1.58/2.13  clauses kept                  19
% 1.58/2.13  clauses forward subsumed       0
% 1.58/2.13  clauses back subsumed          0
% 1.58/2.13  Kbytes malloced              976
% 1.58/2.13  
% 1.58/2.13  ----------- times (seconds) -----------
% 1.58/2.13  user CPU time          0.00          (0 hr, 0 min, 0 sec)
% 1.58/2.13  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.58/2.13  wall-clock time        2             (0 hr, 0 min, 2 sec)
% 1.58/2.13  
% 1.58/2.13  That finishes the proof of the theorem.
% 1.58/2.13  
% 1.58/2.13  Process 29785 finished Wed Jul 27 04:02:25 2022
% 1.58/2.13  Otter interrupted
% 1.58/2.13  PROOF FOUND
%------------------------------------------------------------------------------