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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n021.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   : Theorem 0.18s 0.48s
% 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; 0-1 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ observational_period(X)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers)
    | environment('SKOLEMAAAO1'(X))
    | selection_favors(efficient_producers,first_movers,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy) ).

cnf(2,axiom,
    ( ~ observational_period(X)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers)
    | in_environment(X,'SKOLEMAAAO1'(X))
    | selection_favors(efficient_producers,first_movers,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy) ).

cnf(3,axiom,
    ( ~ observational_period(X)
    | ~ propagation_strategy(first_movers)
    | ~ propagation_strategy(efficient_producers)
    | ~ selection_favors(efficient_producers,first_movers,end_time('SKOLEMAAAO1'(X)))
    | selection_favors(efficient_producers,first_movers,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy) ).

cnf(4,axiom,
    ( ~ observational_period(X)
    | ~ slow_change(X)
    | ~ environment(Y)
    | ~ in_environment(X,Y)
    | in_environment(Y,'SKOLEMAAAO2'(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point) ).

cnf(5,axiom,
    ( ~ observational_period(X)
    | ~ slow_change(X)
    | ~ environment(Y)
    | ~ in_environment(X,Y)
    | greater('SKOLEMAAAO2'(Y),critical_point(Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point) ).

cnf(6,axiom,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1) ).

cnf(7,axiom,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2) ).

cnf(8,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) ).

cnf(9,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) ).

cnf(10,axiom,
    ( ~ environment(X)
    | greater_or_equal(critical_point(X),start_time(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point) ).

cnf(11,axiom,
    ( ~ greater(X,Y)
    | ~ greater(Y,Z)
    | greater(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).

cnf(12,axiom,
    ( ~ greater_or_equal(X,Y)
    | greater(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).

cnf(13,axiom,
    ( greater_or_equal(X,Y)
    | ~ greater(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).

cnf(14,axiom,
    ( greater_or_equal(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).

cnf(16,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) ).

cnf(17,negated_conjecture,
    observational_period('SKOLEMAAAO3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8) ).

cnf(18,negated_conjecture,
    slow_change('SKOLEMAAAO3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8) ).

cnf(19,negated_conjecture,
    ~ selection_favors(efficient_producers,first_movers,'SKOLEMAAAO3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8) ).

cnf(20,plain,
    ( ~ observational_period(X)
    | environment('SKOLEMAAAO1'(X))
    | selection_favors(efficient_producers,first_movers,X) ),
    inference('REWRITE',[status(thm)],[1,7,6]) ).

cnf(21,plain,
    ( ~ observational_period(X)
    | in_environment(X,'SKOLEMAAAO1'(X))
    | selection_favors(efficient_producers,first_movers,X) ),
    inference('REWRITE',[status(thm)],[2,7,6]) ).

cnf(22,plain,
    ( ~ observational_period(X)
    | ~ selection_favors(efficient_producers,first_movers,end_time('SKOLEMAAAO1'(X)))
    | selection_favors(efficient_producers,first_movers,X) ),
    inference('REWRITE',[status(thm)],[3,7,6]) ).

cnf(23,plain,
    greater_or_equal(X,X),
    inference('HYPERRESOLVE',[status(thm)],[14,theory(equality)]) ).

cnf(24,plain,
    environment('SKOLEMAAAO1'('SKOLEMAAAO3')),
    inference('UR-RESOLVE',[status(thm)],[20,17,19]) ).

cnf(25,plain,
    in_environment('SKOLEMAAAO3','SKOLEMAAAO1'('SKOLEMAAAO3')),
    inference('UR-RESOLVE',[status(thm)],[21,17,19]) ).

cnf(26,plain,
    ~ selection_favors(efficient_producers,first_movers,end_time('SKOLEMAAAO1'('SKOLEMAAAO3'))),
    inference('UR-RESOLVE',[status(thm)],[22,17,19]) ).

cnf(27,plain,
    greater_or_equal(critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')),start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))),
    inference('HYPERRESOLVE',[status(thm)],[10,24]) ).

cnf(28,plain,
    in_environment('SKOLEMAAAO1'('SKOLEMAAAO3'),'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))),
    inference('HYPERRESOLVE',[status(thm)],[4,25,17,18,24]) ).

cnf(29,plain,
    greater('SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3')),critical_point('SKOLEMAAAO1'('SKOLEMAAAO3'))),
    inference('HYPERRESOLVE',[status(thm)],[5,25,17,18,24]) ).

cnf(30,plain,
    greater_or_equal(end_time('SKOLEMAAAO1'('SKOLEMAAAO3')),'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))),
    inference('HYPERRESOLVE',[status(thm)],[9,28,24]) ).

cnf(31,plain,
    ( greater(critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')),start_time('SKOLEMAAAO1'('SKOLEMAAAO3')))
    | critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')) = start_time('SKOLEMAAAO1'('SKOLEMAAAO3')) ),
    inference('HYPERRESOLVE',[status(thm)],[12,27]) ).

cnf(32,plain,
    selection_favors(efficient_producers,first_movers,'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))),
    inference('HYPERRESOLVE',[status(thm)],[16,29,24,28]) ).

cnf(34,plain,
    ( greater(end_time('SKOLEMAAAO1'('SKOLEMAAAO3')),'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3')))
    | end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3')) ),
    inference('HYPERRESOLVE',[status(thm)],[12,30]) ).

cnf(35,plain,
    ( critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')) = start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | greater('SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3')),start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))) ),
    inference('HYPERRESOLVE',[status(thm)],[11,31,29]) ).

cnf(37,plain,
    ( end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | greater(end_time('SKOLEMAAAO1'('SKOLEMAAAO3')),critical_point('SKOLEMAAAO1'('SKOLEMAAAO3'))) ),
    inference('HYPERRESOLVE',[status(thm)],[11,34,29]) ).

cnf(39,plain,
    ( critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')) = start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | greater(end_time('SKOLEMAAAO1'('SKOLEMAAAO3')),start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))) ),
    inference('HYPERRESOLVE',[status(thm)],[11,35,34]) ).

cnf(40,plain,
    ( end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | greater_or_equal(end_time('SKOLEMAAAO1'('SKOLEMAAAO3')),critical_point('SKOLEMAAAO1'('SKOLEMAAAO3'))) ),
    inference('HYPERRESOLVE',[status(thm)],[13,37]) ).

cnf(44,plain,
    ( critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')) = start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | greater_or_equal(end_time('SKOLEMAAAO1'('SKOLEMAAAO3')),start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))) ),
    inference('HYPERRESOLVE',[status(thm)],[13,39]) ).

cnf(46,plain,
    ( critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')) = start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | in_environment('SKOLEMAAAO1'('SKOLEMAAAO3'),end_time('SKOLEMAAAO1'('SKOLEMAAAO3'))) ),
    inference('HYPERRESOLVE',[status(thm)],[8,44,24,23]) ).

cnf(47,plain,
    ( critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')) = start_time('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3')) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,46,24,37]),26]) ).

cnf(48,plain,
    critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')) = start_time('SKOLEMAAAO1'('SKOLEMAAAO3')),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[32,47,theory(equality)]),26]) ).

cnf(49,plain,
    ( ~ greater_or_equal(X,critical_point('SKOLEMAAAO1'('SKOLEMAAAO3')))
    | ~ greater_or_equal(end_time('SKOLEMAAAO1'('SKOLEMAAAO3')),X)
    | in_environment('SKOLEMAAAO1'('SKOLEMAAAO3'),X) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,48,theory(equality)]),24]) ).

cnf(51,plain,
    ( end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3'))
    | in_environment('SKOLEMAAAO1'('SKOLEMAAAO3'),end_time('SKOLEMAAAO1'('SKOLEMAAAO3'))) ),
    inference('HYPERRESOLVE',[status(thm)],[49,40,23]) ).

cnf(52,plain,
    end_time('SKOLEMAAAO1'('SKOLEMAAAO3')) = 'SKOLEMAAAO2'('SKOLEMAAAO1'('SKOLEMAAAO3')),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,51,24,37]),26]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : MGT039+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n021.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 07:51:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T07:51:08
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-09T07:51:08
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  #||
% 0.18/0.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48  % SZS output start Refutation
% See solution above
% 0.18/0.48  ||#
% 0.18/0.48  
% 0.18/0.48  ; Summary of computation:
% 0.18/0.48  ;       113 formulas have been input or derived (from 47 formulas).
% 0.18/0.48  ;        55 (49%) were retained.  Of these,
% 0.18/0.48  ;           25 (45%) were simplified or subsumed later,
% 0.18/0.48  ;           30 (55%) are still being kept.
% 0.18/0.48  ; 
% 0.18/0.48  ; Run time in seconds excluding printing time:
% 0.18/0.48  ;     0.002   7%   Read assertion file          (1 call)
% 0.18/0.48  ;     0.000   0%   Assert                       (12 calls)
% 0.18/0.48  ;     0.003  11%   Process new row              (98 calls)
% 0.18/0.48  ;     0.001   4%   Resolution                   (92 calls)
% 0.18/0.48  ;     0.001   4%   Paramodulation               (46 calls)
% 0.18/0.48  ;     0.000   0%   Factoring                    (15 calls)
% 0.18/0.48  ;     0.000   0%   Condensing                   (43 calls)
% 0.18/0.48  ;     0.002   7%   Forward subsumption          (43 calls)
% 0.18/0.48  ;     0.000   0%   Backward subsumption         (35 calls)
% 0.18/0.48  ;     0.000   0%   Clause clause subsumption    (20 calls)
% 0.18/0.48  ;     0.001   4%   Forward simplification       (87 calls)
% 0.18/0.48  ;     0.002   7%   Backward simplification      (55 calls)
% 0.18/0.48  ;     0.001   4%   Ordering                     (143 calls)
% 0.18/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.48  ;     0.014  52%   Other
% 0.18/0.48  ;     0.027        Total
% 0.18/0.48  ;     0.032        Real time
% 0.18/0.48  ; 
% 0.18/0.48  ; Term-hash-array has 70 terms in all.
% 0.18/0.48  ; Feature-vector-row-index has 16 entries (28 at peak, 35 added, 19 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 89 nodes (187 at peak, 257 added, 168 deleted).
% 0.18/0.49  ;  Retrieved 38 possibly forward subsuming rows in 43 calls.
% 0.18/0.49  ;  Retrieved 6 possibly backward subsumed rows in 35 calls.
% 0.18/0.49  ; Path-index has 56 entries (68 at peak, 84 added, 28 deleted).
% 0.18/0.49  ; Path-index has 135 nodes (147 at peak, 161 added, 26 deleted).
% 0.18/0.49  ; Trie-index has 56 entries (68 at peak, 84 added, 28 deleted).
% 0.18/0.49  ; Trie-index has 119 nodes (171 at peak, 210 added, 91 deleted).
% 0.18/0.49  ; Retrieved 50 generalization terms in 94 calls.
% 0.18/0.49  ; Retrieved 23 instance terms in 19 calls.
% 0.18/0.49  ; Retrieved 691 unifiable terms in 467 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.18/0.49  ;     6 with value 0
% 0.18/0.49  ; The agenda of rows to process has 1 entry:
% 0.18/0.49  ;     1 with value 32
% 0.18/0.49  ; The agenda of rows to give has 4 entries:
% 0.18/0.49  ;     1 with value (4 11)          1 with value (4 22)           1 with value (4 34)
% 0.18/0.49  ;     1 with value (4 12)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.032 seconds of real time
% 0.18/0.49    0.029968 seconds of user run time
% 0.18/0.49    0.001872 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    6,104,816 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T07:51:08
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------