TSTP Solution File: MGT039-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT039-1 : TPTP v8.1.0. Released v2.4.0.
% 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 22:25:33 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   44 (  17 unt;  15 nHn;  43 RR)
%            Number of literals    :  100 (  18 equ;  40 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :   10 (   8 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp3_favoured_trategy_20,axiom,
    ( ~ observational_period(X)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers)
    | environment(sk1(X))
    | selection_favors(efficient_producers,first_movers,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_20) ).

cnf(mp3_favoured_trategy_21,axiom,
    ( ~ observational_period(X)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers)
    | in_environment(X,sk1(X))
    | selection_favors(efficient_producers,first_movers,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_21) ).

cnf(mp3_favoured_trategy_22,axiom,
    ( ~ observational_period(X)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers)
    | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X)))
    | selection_favors(efficient_producers,first_movers,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_22) ).

cnf(mp4_critical_point_23,axiom,
    ( ~ observational_period(X)
    | ~ slow_change(X)
    | ~ environment(Y)
    | ~ in_environment(X,Y)
    | in_environment(Y,sk2(Y,X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_23) ).

cnf(mp4_critical_point_24,axiom,
    ( ~ observational_period(X)
    | ~ slow_change(X)
    | ~ environment(Y)
    | ~ in_environment(X,Y)
    | greater(sk2(Y,X),critical_point(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_24) ).

cnf(mp_organizational_sets1_25,axiom,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_25) ).

cnf(mp_organizational_sets2_26,axiom,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_26) ).

cnf(mp_time_in_environment_27,axiom,
    ( ~ environment(X)
    | ~ greater_or_equal(Y,start_time(X))
    | ~ greater_or_equal(end_time(X),Y)
    | in_environment(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_27) ).

cnf(mp_environment_end_point_28,axiom,
    ( ~ environment(X)
    | ~ in_environment(X,Y)
    | greater_or_equal(end_time(X),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_28) ).

cnf(mp_time_of_critical_point_29,axiom,
    ( ~ environment(X)
    | greater_or_equal(critical_point(X),start_time(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_29) ).

cnf(mp_greater_transitivity_30,axiom,
    ( ~ greater(X,Y)
    | ~ greater(Y,Z)
    | greater(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).

cnf(mp_greater_or_equal_31,axiom,
    ( ~ greater_or_equal(X,Y)
    | greater(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).

cnf(mp_greater_or_equal_32,axiom,
    ( ~ greater(X,Y)
    | greater_or_equal(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).

cnf(mp_greater_or_equal_33,axiom,
    ( X != Y
    | greater_or_equal(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).

cnf(l8_35,hypothesis,
    ( ~ environment(X)
    | ~ in_environment(X,Y)
    | ~ greater(Y,critical_point(X))
    | selection_favors(efficient_producers,first_movers,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_35) ).

cnf(prove_t8_36,negated_conjecture,
    observational_period(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_36) ).

cnf(prove_t8_37,negated_conjecture,
    slow_change(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_37) ).

cnf(prove_t8_38,negated_conjecture,
    ~ selection_favors(efficient_producers,first_movers,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_38) ).

cnf(20,plain,
    ( ~ observational_period(X)
    | environment(sk1(X))
    | selection_favors(efficient_producers,first_movers,X) ),
    inference('REWRITE',[status(thm)],[mp3_favoured_trategy_20,mp_organizational_sets2_26,mp_organizational_sets1_25]) ).

cnf(21,plain,
    ( ~ observational_period(X)
    | in_environment(X,sk1(X))
    | selection_favors(efficient_producers,first_movers,X) ),
    inference('REWRITE',[status(thm)],[mp3_favoured_trategy_21,mp_organizational_sets2_26,mp_organizational_sets1_25]) ).

cnf(22,plain,
    ( ~ observational_period(X)
    | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X)))
    | selection_favors(efficient_producers,first_movers,X) ),
    inference('REWRITE',[status(thm)],[mp3_favoured_trategy_22,mp_organizational_sets2_26,mp_organizational_sets1_25]) ).

cnf(23,plain,
    greater_or_equal(X,X),
    inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_33,theory(equality)]) ).

cnf(24,plain,
    environment(sk1(sk3)),
    inference('UR-RESOLVE',[status(thm)],[20,prove_t8_36,prove_t8_38]) ).

cnf(25,plain,
    in_environment(sk3,sk1(sk3)),
    inference('UR-RESOLVE',[status(thm)],[21,prove_t8_36,prove_t8_38]) ).

cnf(26,plain,
    ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
    inference('UR-RESOLVE',[status(thm)],[22,prove_t8_36,prove_t8_38]) ).

cnf(27,plain,
    greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))),
    inference('HYPERRESOLVE',[status(thm)],[mp_time_of_critical_point_29,24]) ).

cnf(28,plain,
    in_environment(sk1(sk3),sk2(sk1(sk3),sk3)),
    inference('HYPERRESOLVE',[status(thm)],[mp4_critical_point_23,25,prove_t8_36,prove_t8_37,24]) ).

cnf(29,plain,
    greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))),
    inference('HYPERRESOLVE',[status(thm)],[mp4_critical_point_24,25,prove_t8_36,prove_t8_37,24]) ).

cnf(30,plain,
    ( greater(critical_point(sk1(sk3)),start_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_31,27]) ).

cnf(31,plain,
    greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)),
    inference('HYPERRESOLVE',[status(thm)],[mp_environment_end_point_28,28,24]) ).

cnf(32,plain,
    selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)),
    inference('HYPERRESOLVE',[status(thm)],[l8_35,29,24,28]) ).

cnf(34,plain,
    ( greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_31,31]) ).

cnf(35,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) ),
    inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_30,30,29]) ).

cnf(38,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
    inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_30,34,29]) ).

cnf(39,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | greater(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
    inference('HYPERRESOLVE',[status(thm)],[mp_greater_transitivity_30,34,35]) ).

cnf(40,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
    inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_32,38]) ).

cnf(44,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
    inference('HYPERRESOLVE',[status(thm)],[mp_greater_or_equal_32,39]) ).

cnf(46,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | in_environment(sk1(sk3),end_time(sk1(sk3))) ),
    inference('HYPERRESOLVE',[status(thm)],[mp_time_in_environment_27,44,24,23]) ).

cnf(47,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[l8_35,46,24,38]),26]) ).

cnf(48,plain,
    critical_point(sk1(sk3)) = start_time(sk1(sk3)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[32,47,theory(equality)]),26]) ).

cnf(49,plain,
    ( ~ greater_or_equal(X,critical_point(sk1(sk3)))
    | ~ greater_or_equal(end_time(sk1(sk3)),X)
    | in_environment(sk1(sk3),X) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[mp_time_in_environment_27,48,theory(equality)]),24]) ).

cnf(51,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | in_environment(sk1(sk3),end_time(sk1(sk3))) ),
    inference('HYPERRESOLVE',[status(thm)],[49,40,23]) ).

cnf(52,plain,
    end_time(sk1(sk3)) = sk2(sk1(sk3),sk3),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[l8_35,51,24,38]),26]) ).

cnf(55,plain,
    $false,
    inference('REWRITE',[status(thm)],[32,26,52,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : MGT039-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jun  9 09:57:21 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:57:21
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-09T09:57:21
% 0.18/0.51  
% 0.18/0.51  
% 0.18/0.51  #||
% 0.18/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation
% See solution above
% 0.18/0.51  ||#
% 0.18/0.51  
% 0.18/0.51  ; Summary of computation:
% 0.18/0.51  ;       113 formulas have been input or derived (from 47 formulas).
% 0.18/0.51  ;        55 (49%) were retained.  Of these,
% 0.18/0.51  ;           25 (45%) were simplified or subsumed later,
% 0.18/0.51  ;           30 (55%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.004   9%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.001   2%   Assert                       (19 calls)
% 0.18/0.51  ;     0.006  13%   Process new row              (98 calls)
% 0.18/0.51  ;     0.003   7%   Resolution                   (92 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (46 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (15 calls)
% 0.18/0.51  ;     0.000   0%   Condensing                   (43 calls)
% 0.18/0.51  ;     0.003   7%   Forward subsumption          (43 calls)
% 0.18/0.51  ;     0.003   7%   Backward subsumption         (35 calls)
% 0.18/0.51  ;     0.000   0%   Clause clause subsumption    (20 calls)
% 0.18/0.51  ;     0.000   0%   Forward simplification       (87 calls)
% 0.18/0.51  ;     0.001   2%   Backward simplification      (55 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (128 calls)
% 0.18/0.51  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.51  ;     0.024  52%   Other
% 0.18/0.51  ;     0.046        Total
% 0.18/0.51  ;     0.053        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 70 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 16 entries (28 at peak, 35 added, 19 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 89 nodes (207 at peak, 270 added, 181 deleted).
% 0.18/0.51  ;  Retrieved 33 possibly forward subsuming rows in 43 calls.
% 0.18/0.51  ;  Retrieved 6 possibly backward subsumed rows in 35 calls.
% 0.18/0.51  ; Path-index has 56 entries (68 at peak, 84 added, 28 deleted).
% 0.18/0.51  ; Path-index has 156 nodes (174 at peak, 188 added, 32 deleted).
% 0.18/0.51  ; Trie-index has 56 entries (68 at peak, 84 added, 28 deleted).
% 0.18/0.51  ; Trie-index has 124 nodes (182 at peak, 221 added, 97 deleted).
% 0.18/0.51  ; Retrieved 50 generalization terms in 94 calls.
% 0.18/0.51  ; Retrieved 23 instance terms in 19 calls.
% 0.18/0.51  ; Retrieved 693 unifiable terms in 468 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.18/0.51  ;     6 with value 0
% 0.18/0.51  ; The agenda of rows to process has 1 entry:
% 0.18/0.51  ;     1 with value 33
% 0.18/0.51  ; The agenda of rows to give has 4 entries:
% 0.18/0.51  ;     1 with value (4 11)          1 with value (4 23)           1 with value (4 34)
% 0.18/0.51  ;     1 with value (4 12)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.053 seconds of real time
% 0.18/0.51    0.043177 seconds of user run time
% 0.18/0.51    0.010041 seconds of system run time
% 0.18/0.51    0 calls to %EVAL
% 0.18/0.51    0 page faults and
% 0.18/0.51    5,695,208 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:57:21
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------