TSTP Solution File: MGT032+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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  : 600s
% DateTime : Sun Jul 17 22:25:09 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   8 unt;   0 nHn;  14 RR)
%            Number of literals    :   26 (   0 equ;  14 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ environment(X)
    | ~ subpopulations(Y,Z,X,U)
    | ~ greater(growth_rate(Z,U),growth_rate(Y,U))
    | selection_favors(Z,Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates) ).

cnf(2,hypothesis,
    ( ~ environment(X)
    | ~ stable(X)
    | in_environment(X,'SKOLEMAAAV1'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).

cnf(3,hypothesis,
    ( ~ environment(X)
    | ~ stable(X)
    | ~ subpopulations(first_movers,efficient_producers,X,Y)
    | ~ greater_or_equal(Y,'SKOLEMAAAV1'(X))
    | greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).

cnf(4,negated_conjecture,
    environment('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1) ).

cnf(5,negated_conjecture,
    stable('SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1) ).

cnf(6,negated_conjecture,
    ( ~ in_environment('SKOLEMAAAV2',X)
    | subpopulations(first_movers,efficient_producers,'SKOLEMAAAV2','SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1) ).

cnf(7,negated_conjecture,
    ( ~ in_environment('SKOLEMAAAV2',X)
    | greater_or_equal('SKOLEMAAAV3'(X),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1) ).

cnf(8,negated_conjecture,
    ( ~ in_environment('SKOLEMAAAV2',X)
    | ~ selection_favors(efficient_producers,first_movers,'SKOLEMAAAV3'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t1) ).

cnf(9,plain,
    in_environment('SKOLEMAAAV2','SKOLEMAAAV1'('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[2,4,5]) ).

cnf(10,plain,
    greater_or_equal('SKOLEMAAAV3'('SKOLEMAAAV1'('SKOLEMAAAV2')),'SKOLEMAAAV1'('SKOLEMAAAV2')),
    inference('HYPERRESOLVE',[status(thm)],[7,9]) ).

cnf(11,plain,
    ~ selection_favors(efficient_producers,first_movers,'SKOLEMAAAV3'('SKOLEMAAAV1'('SKOLEMAAAV2'))),
    inference('UR-RESOLVE',[status(thm)],[8,9]) ).

cnf(12,plain,
    subpopulations(first_movers,efficient_producers,'SKOLEMAAAV2','SKOLEMAAAV3'('SKOLEMAAAV1'('SKOLEMAAAV2'))),
    inference('HYPERRESOLVE',[status(thm)],[6,9]) ).

cnf(13,plain,
    greater(growth_rate(efficient_producers,'SKOLEMAAAV3'('SKOLEMAAAV1'('SKOLEMAAAV2'))),growth_rate(first_movers,'SKOLEMAAAV3'('SKOLEMAAAV1'('SKOLEMAAAV2')))),
    inference('HYPERRESOLVE',[status(thm)],[3,12,4,5,10]) ).

cnf(14,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,12,4,11]),13]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : MGT032+2 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 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  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 12:05:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T12:05:36
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-09T12:05:36
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        18 formulas have been input or derived (from 13 formulas).
% 0.20/0.50  ;        14 (78%) were retained.  Of these,
% 0.20/0.50  ;           14 (100%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   4%   Assert                       (3 calls)
% 0.20/0.50  ;     0.002   7%   Process new row              (15 calls)
% 0.20/0.50  ;     0.001   4%   Resolution                   (24 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (12 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (6 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (6 calls)
% 0.20/0.50  ;     0.000   0%   Forward simplification       (15 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (14 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.021  78%   Other
% 0.20/0.50  ;     0.027        Total
% 0.20/0.50  ;     0.030        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 30 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.20/0.50  ;  Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.20/0.50  ; Path-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.20/0.50  ; Path-index has 98 nodes (98 at peak, 98 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 33 entries (33 at peak, 33 added, 0 deleted).
% 0.20/0.50  ; Trie-index has 93 nodes (93 at peak, 93 added, 0 deleted).
% 0.20/0.50  ; Retrieved 2 generalization terms in 2 calls.
% 0.20/0.50  ; Retrieved 7 instance terms in 7 calls.
% 0.20/0.50  ; Retrieved 106 unifiable terms in 116 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to give has 1 entry:
% 0.20/0.50  ;     1 with value (4 18)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.031 seconds of real time
% 0.20/0.51    0.026612 seconds of user run time
% 0.20/0.51    0.003937 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,353,936 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T12:05:36
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------