TSTP Solution File: MGT036+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT036+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 22:25:31 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   19 (  11 unt;   0 nHn;  17 RR)
%            Number of literals    :   38 (   0 equ;  20 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   26 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ environment(X)
    | ~ subpopulations(first_movers,efficient_producers,X,Y)
    | subpopulations(efficient_producers,first_movers,X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_FM_and_EP) ).

cnf(2,axiom,
    ( ~ environment(X)
    | ~ subpopulations(first_movers,efficient_producers,X,Y)
    | in_environment(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).

cnf(3,axiom,
    ( environment(X)
    | ~ greater(zero,growth_rate(Y,Z)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships) ).

cnf(5,axiom,
    ( ~ greater_or_equal(growth_rate(X,Y),zero)
    | ~ greater(zero,growth_rate(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships) ).

cnf(8,hypothesis,
    ( ~ environment(X)
    | ~ subpopulations(Y,Z,X,U)
    | greater_or_equal(growth_rate(Z,U),zero)
    | ~ outcompetes(Z,Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

cnf(9,hypothesis,
    ( ~ environment(X)
    | ~ subpopulations(Y,Z,X,U)
    | greater(zero,growth_rate(Y,U))
    | ~ outcompetes(Z,Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2) ).

cnf(10,hypothesis,
    ( ~ environment(X)
    | ~ in_environment(X,Y)
    | greater(zero,growth_rate(Z,Y))
    | ~ greater(resilience(U),resilience(Z))
    | ~ greater(zero,growth_rate(U,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12) ).

cnf(11,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

cnf(12,negated_conjecture,
    environment('SKOLEMAAAV1'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5) ).

cnf(13,negated_conjecture,
    subpopulations(first_movers,efficient_producers,'SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5) ).

cnf(14,negated_conjecture,
    outcompetes(first_movers,efficient_producers,'SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5) ).

cnf(15,plain,
    in_environment('SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[2,12,13]) ).

cnf(16,plain,
    subpopulations(efficient_producers,first_movers,'SKOLEMAAAV1','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[1,12,13]) ).

cnf(18,plain,
    greater(zero,growth_rate(efficient_producers,'SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[9,16,12,14]) ).

cnf(19,plain,
    greater_or_equal(growth_rate(first_movers,'SKOLEMAAAV2'),zero),
    inference('HYPERRESOLVE',[status(thm)],[8,16,12,14]) ).

cnf(20,plain,
    environment(X),
    inference('HYPERRESOLVE',[status(thm)],[3,18]) ).

cnf(27,plain,
    ( ~ in_environment(X,Y)
    | greater(zero,growth_rate(Z,Y))
    | ~ greater(resilience(U),resilience(Z))
    | ~ greater(zero,growth_rate(U,Y)) ),
    inference('REWRITE',[status(thm)],[10,20]) ).

cnf(30,plain,
    greater(zero,growth_rate(first_movers,'SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[27,15,11,18]) ).

cnf(31,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,19]),30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : MGT036+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 09:55:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:55:37
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-09T09:55:37
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        46 formulas have been input or derived (from 27 formulas).
% 0.19/0.50  ;        31 (67%) were retained.  Of these,
% 0.19/0.50  ;           11 (35%) were simplified or subsumed later,
% 0.19/0.50  ;           20 (65%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.002   6%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   3%   Assert                       (7 calls)
% 0.19/0.50  ;     0.000   0%   Process new row              (39 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (52 calls)
% 0.19/0.50  ;     0.003   9%   Paramodulation               (26 calls)
% 0.19/0.50  ;     0.000   0%   Condensing                   (18 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (18 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (18 calls)
% 0.19/0.50  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.19/0.50  ;     0.003   9%   Forward simplification       (37 calls)
% 0.19/0.50  ;     0.002   6%   Backward simplification      (31 calls)
% 0.19/0.50  ;     0.000   0%   Ordering                     (1 call)
% 0.19/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.023  68%   Other
% 0.19/0.50  ;     0.034        Total
% 0.19/0.50  ;     0.035        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 43 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 9 entries (11 at peak, 18 added, 9 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 51 nodes (68 at peak, 108 added, 57 deleted).
% 0.19/0.50  ;  Retrieved 2 possibly forward subsuming rows in 18 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 18 calls.
% 0.19/0.50  ; Path-index has 39 entries (44 at peak, 61 added, 22 deleted).
% 0.19/0.50  ; Path-index has 82 nodes (82 at peak, 92 added, 10 deleted).
% 0.19/0.50  ; Trie-index has 39 entries (44 at peak, 61 added, 22 deleted).
% 0.19/0.50  ; Trie-index has 76 nodes (76 at peak, 94 added, 18 deleted).
% 0.19/0.50  ; Retrieved 7 generalization terms in 37 calls.
% 0.19/0.50  ; Retrieved 14 instance terms in 12 calls.
% 0.19/0.50  ; Retrieved 464 unifiable terms in 251 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to give has 3 entries:
% 0.19/0.50  ;     1 with value (4 9)           2 with value (4 10)
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.035 seconds of real time
% 0.19/0.50    0.032361 seconds of user run time
% 0.19/0.50    0.003353 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,844,984 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:55:37
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------