TSTP Solution File: MGT036-3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT036-3 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   18 (   0 equ;  10 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp_symmetry_of_subpopulations_1,axiom,
    ( ~ environment(X)
    | ~ subpopulations(Y,Z,X,U)
    | subpopulations(Z,Y,X,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).

cnf(d2_2,hypothesis,
    ( ~ environment(X)
    | ~ subpopulations(Y,Z,X,U)
    | ~ greater_or_equal(growth_rate(Z,U),zero)
    | ~ greater(zero,growth_rate(Y,U))
    | outcompetes(Z,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_2) ).

cnf(a13_star_5,hypothesis,
    environment(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_5) ).

cnf(a13_star_6,hypothesis,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_6) ).

cnf(a13_star_7,hypothesis,
    greater_or_equal(growth_rate(first_movers,sk2),zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_7) ).

cnf(a13_star_8,hypothesis,
    greater(zero,growth_rate(efficient_producers,sk2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_8) ).

cnf(prove_t5_star_9,negated_conjecture,
    ( ~ environment(X)
    | ~ subpopulations(first_movers,efficient_producers,X,Y)
    | ~ outcompetes(first_movers,efficient_producers,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_star_9) ).

cnf(10,plain,
    ~ outcompetes(first_movers,efficient_producers,sk2),
    inference('UR-RESOLVE',[status(thm)],[prove_t5_star_9,a13_star_5,a13_star_6]) ).

cnf(11,plain,
    subpopulations(efficient_producers,first_movers,sk1,sk2),
    inference('HYPERRESOLVE',[status(thm)],[mp_symmetry_of_subpopulations_1,a13_star_5,a13_star_6]) ).

cnf(12,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[d2_2,10,a13_star_5,a13_star_7,a13_star_8]),11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : MGT036-3 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 10:13:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T10:13:04
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-09T10:13:04
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        13 formulas have been input or derived (from 11 formulas).
% 0.18/0.49  ;        12 (92%) were retained.  Of these,
% 0.18/0.49  ;           12 (100%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.000   0%   Assert                       (9 calls)
% 0.18/0.49  ;     0.001   4%   Process new row              (12 calls)
% 0.18/0.49  ;     0.001   4%   Resolution                   (20 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (10 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (5 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (5 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (5 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (12 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (12 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.022  85%   Other
% 0.18/0.49  ;     0.026        Total
% 0.18/0.49  ;     0.028        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 18 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 28 nodes (28 at peak, 28 added, 0 deleted).
% 0.18/0.49  ;  Retrieved 0 possibly forward subsuming rows in 5 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.18/0.49  ; Path-index has 23 entries (23 at peak, 23 added, 0 deleted).
% 0.18/0.49  ; Path-index has 64 nodes (64 at peak, 64 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 23 entries (23 at peak, 23 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 54 nodes (54 at peak, 54 added, 0 deleted).
% 0.18/0.49  ; Retrieved 1 generalization term in 4 calls.
% 0.18/0.49  ; Retrieved 6 instance terms in 6 calls.
% 0.18/0.49  ; Retrieved 105 unifiable terms in 90 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to give has 1 entry:
% 0.18/0.49  ;     1 with value (4 7)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.028 seconds of real time
% 0.18/0.49    0.02559 seconds of user run time
% 0.18/0.49    0.003028 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    1,887,064 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T10:13:05
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------