TSTP Solution File: MGT023+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 22:24:45 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   16 (   7 unt;   6 nHn;  16 RR)
%            Number of literals    :   39 (   7 equ;  18 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,hypothesis,
    ( ~ environment(X)
    | greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y))
    | ~ in_environment(X,Y)
    | subpopulations(first_movers,efficient_producers,X,'SKOLEMAAAV1'(X,Y))
    | Y = critical_point(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

cnf(2,hypothesis,
    ( ~ environment(X)
    | greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y))
    | ~ in_environment(X,Y)
    | greater('SKOLEMAAAV1'(X,Y),Y)
    | Y = critical_point(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

cnf(3,hypothesis,
    ( ~ environment(X)
    | greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y))
    | ~ in_environment(X,Y)
    | ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV1'(X,Y)),growth_rate(first_movers,'SKOLEMAAAV1'(X,Y)))
    | Y = critical_point(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).

cnf(4,hypothesis,
    ( ~ environment(X)
    | ~ stable(X)
    | in_environment(X,'SKOLEMAAAV2'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12) ).

cnf(5,hypothesis,
    ( ~ environment(X)
    | ~ stable(X)
    | ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV2'(X)),growth_rate(first_movers,'SKOLEMAAAV2'(X))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12) ).

cnf(6,hypothesis,
    ( ~ environment(X)
    | ~ stable(X)
    | ~ subpopulations(first_movers,efficient_producers,X,Y)
    | ~ greater(Y,'SKOLEMAAAV2'(X))
    | greater(growth_rate(efficient_producers,Y),growth_rate(first_movers,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12) ).

cnf(7,negated_conjecture,
    environment('SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5) ).

cnf(8,negated_conjecture,
    stable('SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5) ).

cnf(9,negated_conjecture,
    ~ in_environment('SKOLEMAAAV3',critical_point('SKOLEMAAAV3')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5) ).

cnf(10,plain,
    in_environment('SKOLEMAAAV3','SKOLEMAAAV2'('SKOLEMAAAV3')),
    inference('HYPERRESOLVE',[status(thm)],[4,7,8]) ).

cnf(11,plain,
    ~ greater(growth_rate(efficient_producers,'SKOLEMAAAV2'('SKOLEMAAAV3')),growth_rate(first_movers,'SKOLEMAAAV2'('SKOLEMAAAV3'))),
    inference('UR-RESOLVE',[status(thm)],[5,7,8]) ).

cnf(12,plain,
    ( greater('SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV2'('SKOLEMAAAV3')),'SKOLEMAAAV2'('SKOLEMAAAV3'))
    | 'SKOLEMAAAV2'('SKOLEMAAAV3') = critical_point('SKOLEMAAAV3') ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,10,7]),11]) ).

cnf(13,plain,
    ( subpopulations(first_movers,efficient_producers,'SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV2'('SKOLEMAAAV3')))
    | 'SKOLEMAAAV2'('SKOLEMAAAV3') = critical_point('SKOLEMAAAV3') ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,10,7]),11]) ).

cnf(14,plain,
    ( 'SKOLEMAAAV2'('SKOLEMAAAV3') = critical_point('SKOLEMAAAV3')
    | greater(growth_rate(efficient_producers,'SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV2'('SKOLEMAAAV3'))),growth_rate(first_movers,'SKOLEMAAAV1'('SKOLEMAAAV3','SKOLEMAAAV2'('SKOLEMAAAV3')))) ),
    inference('HYPERRESOLVE',[status(thm)],[6,13,7,8,12]) ).

cnf(15,plain,
    'SKOLEMAAAV2'('SKOLEMAAAV3') = critical_point('SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,14,7,10]),11]) ).

cnf(16,plain,
    $false,
    inference('REWRITE',[status(thm)],[10,9,15,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : MGT023+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun  9 09:40:40 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T09:40:40
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-09T09:40:40
% 0.21/0.51  
% 0.21/0.51  
% 0.21/0.51  #||
% 0.21/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51  % SZS output start Refutation
% See solution above
% 0.21/0.51  ||#
% 0.21/0.51  
% 0.21/0.51  ; Summary of computation:
% 0.21/0.51  ;        21 formulas have been input or derived (from 15 formulas).
% 0.21/0.51  ;        16 (76%) were retained.  Of these,
% 0.21/0.51  ;            5 (31%) were simplified or subsumed later,
% 0.21/0.51  ;           11 (69%) are still being kept.
% 0.21/0.51  ; 
% 0.21/0.51  ; Run time in seconds excluding printing time:
% 0.21/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.21/0.51  ;     0.000   0%   Assert                       (3 calls)
% 0.21/0.51  ;     0.001   3%   Process new row              (16 calls)
% 0.21/0.51  ;     0.002   7%   Resolution                   (28 calls)
% 0.21/0.51  ;     0.000   0%   Paramodulation               (14 calls)
% 0.21/0.51  ;     0.000   0%   Factoring                    (3 calls)
% 0.21/0.51  ;     0.000   0%   Condensing                   (9 calls)
% 0.21/0.51  ;     0.001   3%   Forward subsumption          (9 calls)
% 0.21/0.51  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.21/0.51  ;     0.000   0%   Forward simplification       (16 calls)
% 0.21/0.51  ;     0.000   0%   Backward simplification      (16 calls)
% 0.21/0.51  ;     0.000   0%   Ordering                     (18 calls)
% 0.21/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.51  ;     0.023  79%   Other
% 0.21/0.51  ;     0.029        Total
% 0.21/0.51  ;     0.032        Real time
% 0.21/0.51  ; 
% 0.21/0.51  ; Term-hash-array has 37 terms in all.
% 0.21/0.51  ; Feature-vector-row-index has 6 entries (9 at peak, 9 added, 3 deleted).
% 0.21/0.51  ; Feature-vector-row-index has 70 nodes (109 at peak, 109 added, 39 deleted).
% 0.21/0.51  ;  Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.21/0.51  ;  Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.21/0.51  ; Path-index has 30 entries (40 at peak, 40 added, 10 deleted).
% 0.21/0.51  ; Path-index has 107 nodes (125 at peak, 125 added, 18 deleted).
% 0.21/0.51  ; Trie-index has 30 entries (40 at peak, 40 added, 10 deleted).
% 0.21/0.51  ; Trie-index has 86 nodes (123 at peak, 123 added, 37 deleted).
% 0.21/0.51  ; Retrieved 4 generalization terms in 7 calls.
% 0.21/0.51  ; Retrieved 6 instance terms in 6 calls.
% 0.21/0.51  ; Retrieved 144 unifiable terms in 161 calls.
% 0.21/0.51  ; 
% 0.21/0.51  ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.21/0.51  ;     4 with value 0
% 0.21/0.51  ; The agenda of rows to give has 1 entry:
% 0.21/0.51  ;     1 with value (4 11)
% 0.21/0.51  Evaluation took:
% 0.21/0.51    0.033 seconds of real time
% 0.21/0.51    0.025821 seconds of user run time
% 0.21/0.51    0.006607 seconds of system run time
% 0.21/0.51    0 calls to %EVAL
% 0.21/0.51    0 page faults and
% 0.21/0.51    2,951,768 bytes consed.
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T09:40:40
% 0.21/0.51  :PROOF-FOUND
% 0.21/0.51  * 
%------------------------------------------------------------------------------