TSTP Solution File: MGT022-2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT022-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (   8 unt;   3 nHn;  15 RR)
%            Number of literals    :   28 (   0 equ;  12 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp_constant_not_decrease_1,axiom,
    ( ~ constant(X)
    | ~ decreases(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_constant_not_decrease_1) ).

cnf(a6_2,hypothesis,
    ( ~ environment(X)
    | ~ subpopulations(Y,Z,X,U)
    | ~ greater(resilience(Z),resilience(Y))
    | ~ decreases(resources(X,U))
    | increases(difference(disbanding_rate(Y,U),disbanding_rate(Z,U))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_2) ).

cnf(a6_3,hypothesis,
    ( ~ environment(X)
    | ~ subpopulations(Y,Z,X,U)
    | ~ greater(resilience(Z),resilience(Y))
    | ~ constant(resources(X,U))
    | constant(difference(disbanding_rate(Y,U),disbanding_rate(Z,U))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_3) ).

cnf(a2_4,hypothesis,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_4) ).

cnf(prove_l4_5,negated_conjecture,
    environment(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_5) ).

cnf(prove_l4_6,negated_conjecture,
    subpopulations(first_movers,efficient_producers,sk1,sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_6) ).

cnf(prove_l4_7,negated_conjecture,
    ( decreases(resources(sk1,sk2))
    | constant(resources(sk1,sk2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_7) ).

cnf(prove_l4_8,negated_conjecture,
    ( decreases(resources(sk1,sk2))
    | decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_8) ).

cnf(prove_l4_9,negated_conjecture,
    ( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
    | constant(resources(sk1,sk2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l4_9) ).

cnf(11,plain,
    ( constant(resources(sk1,sk2))
    | increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
    inference('HYPERRESOLVE',[status(thm)],[a6_2,prove_l4_5,prove_l4_6,a2_4,prove_l4_7]) ).

cnf(13,plain,
    constant(resources(sk1,sk2)),
    inference('HYPERRESOLVE',[status(thm)],[prove_l4_9,11]) ).

cnf(14,plain,
    ~ decreases(resources(sk1,sk2)),
    inference('UR-RESOLVE',[status(thm)],[mp_constant_not_decrease_1,13]) ).

cnf(15,plain,
    decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
    inference('REWRITE',[status(thm)],[prove_l4_8,14]) ).

cnf(16,plain,
    constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
    inference('HYPERRESOLVE',[status(thm)],[a6_3,13,prove_l4_5,prove_l4_6,a2_4]) ).

cnf(17,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[mp_constant_not_decrease_1,15]),16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT022-2 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.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 07:47:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T07:47:53
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-09T07:47:53
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  #||
% 0.20/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  ||#
% 0.20/0.49  
% 0.20/0.49  ; Summary of computation:
% 0.20/0.49  ;        20 formulas have been input or derived (from 14 formulas).
% 0.20/0.49  ;        17 (85%) were retained.  Of these,
% 0.20/0.49  ;            6 (35%) were simplified or subsumed later,
% 0.20/0.49  ;           11 (65%) are still being kept.
% 0.20/0.49  ; 
% 0.20/0.49  ; Run time in seconds excluding printing time:
% 0.20/0.49  ;     0.003  10%   Read assertion file          (1 call)
% 0.20/0.49  ;     0.000   0%   Assert                       (10 calls)
% 0.20/0.49  ;     0.003  10%   Process new row              (20 calls)
% 0.20/0.49  ;     0.000   0%   Resolution                   (26 calls)
% 0.20/0.49  ;     0.000   0%   Paramodulation               (13 calls)
% 0.20/0.49  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.49  ;     0.000   0%   Condensing                   (9 calls)
% 0.20/0.49  ;     0.000   0%   Forward subsumption          (9 calls)
% 0.20/0.49  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.20/0.49  ;     0.001   3%   Forward simplification       (18 calls)
% 0.20/0.49  ;     0.000   0%   Backward simplification      (17 calls)
% 0.20/0.49  ;     0.000   0%   Ordering                     (4 calls)
% 0.20/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.49  ;     0.022  76%   Other
% 0.20/0.49  ;     0.029        Total
% 0.20/0.49  ;     0.031        Real time
% 0.20/0.49  ; 
% 0.20/0.49  ; Term-hash-array has 29 terms in all.
% 0.20/0.49  ; Feature-vector-row-index has 3 entries (9 at peak, 9 added, 6 deleted).
% 0.20/0.49  ; Feature-vector-row-index has 27 nodes (127 at peak, 127 added, 100 deleted).
% 0.20/0.49  ;  Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.20/0.49  ;  Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.20/0.49  ; Path-index has 32 entries (32 at peak, 33 added, 1 deleted).
% 0.20/0.49  ; Path-index has 128 nodes (128 at peak, 132 added, 4 deleted).
% 0.20/0.49  ; Trie-index has 32 entries (32 at peak, 33 added, 1 deleted).
% 0.20/0.49  ; Trie-index has 94 nodes (94 at peak, 99 added, 5 deleted).
% 0.20/0.49  ; Retrieved 2 generalization terms in 4 calls.
% 0.20/0.49  ; Retrieved 7 instance terms in 7 calls.
% 0.20/0.49  ; Retrieved 97 unifiable terms in 130 calls.
% 0.20/0.49  ; 
% 0.20/0.49  ; The agenda of rows to give has 2 entries:
% 0.20/0.49  ;     1 with value (4 9)           1 with value (4 14)
% 0.20/0.49  Evaluation took:
% 0.20/0.49    0.032 seconds of real time
% 0.20/0.49    0.025871 seconds of user run time
% 0.20/0.49    0.006002 seconds of system run time
% 0.20/0.49    0 calls to %EVAL
% 0.20/0.49    0 page faults and
% 0.20/0.49    2,489,368 bytes consed.
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-09T07:47:53
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  * 
%------------------------------------------------------------------------------