TSTP Solution File: MGT013-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 22:24:42 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   25 (  17 unt;   2 nHn;  25 RR)
%            Number of literals    :   50 (   7 equ;  28 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   24 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(mp6_1_18,axiom,
    ( ~ greater(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp6_1_18) ).

cnf(mp15_20,axiom,
    ( ~ organization(X,Y)
    | time(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp15_20) ).

cnf(mp16_21,axiom,
    ( ~ time(X)
    | ~ time(Y)
    | greater(X,Y)
    | X = Y
    | greater(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp16_21) ).

cnf(mp17_22,axiom,
    ( ~ reorganization_free(X,Y,Z)
    | reorganization_free(X,Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp17_22) ).

cnf(mp18_23,axiom,
    ( ~ organization(X,Y)
    | ~ organization(X,Z)
    | ~ complexity(X,U,Y)
    | ~ complexity(X,V,Z)
    | Y != Z
    | U = V ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp18_23) ).

cnf(t11_FOL_24,hypothesis,
    ( ~ organization(X,Y)
    | ~ organization(X,Z)
    | ~ reorganization_free(X,Y,Z)
    | ~ size(X,U,Y)
    | ~ size(X,V,Z)
    | ~ greater(Z,Y)
    | ~ greater(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_FOL_24) ).

cnf(t12_FOL_25,hypothesis,
    ( ~ organization(X,Y)
    | ~ organization(X,Z)
    | ~ reorganization_free(X,Y,Z)
    | ~ complexity(X,U,Y)
    | ~ complexity(X,V,Z)
    | ~ greater(Z,Y)
    | ~ greater(U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_FOL_25) ).

cnf(t13_FOL_26,negated_conjecture,
    organization(sk1,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_26) ).

cnf(t13_FOL_27,negated_conjecture,
    organization(sk1,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_27) ).

cnf(t13_FOL_28,negated_conjecture,
    reorganization_free(sk1,sk6,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_28) ).

cnf(t13_FOL_29,negated_conjecture,
    complexity(sk1,sk2,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_29) ).

cnf(t13_FOL_30,negated_conjecture,
    complexity(sk1,sk3,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_30) ).

cnf(t13_FOL_31,negated_conjecture,
    size(sk1,sk4,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_31) ).

cnf(t13_FOL_32,negated_conjecture,
    size(sk1,sk5,sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_32) ).

cnf(t13_FOL_33,negated_conjecture,
    greater(sk3,sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_33) ).

cnf(t13_FOL_34,negated_conjecture,
    greater(sk4,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_FOL_34) ).

cnf(18,plain,
    time(sk7),
    inference('HYPERRESOLVE',[status(thm)],[mp15_20,t13_FOL_27]) ).

cnf(19,plain,
    time(sk6),
    inference('HYPERRESOLVE',[status(thm)],[mp15_20,t13_FOL_26]) ).

cnf(22,plain,
    sk3 != sk2,
    inference('UR-RESOLVE',[status(thm)],[mp6_1_18,t13_FOL_33]) ).

cnf(25,plain,
    reorganization_free(sk1,sk7,sk6),
    inference('HYPERRESOLVE',[status(thm)],[mp17_22,t13_FOL_28]) ).

cnf(26,plain,
    ~ greater(sk7,sk6),
    inference('UR-RESOLVE',[status(thm)],[t11_FOL_24,t13_FOL_26,t13_FOL_27,t13_FOL_28,t13_FOL_31,t13_FOL_32,t13_FOL_34]) ).

cnf(27,plain,
    ( sk7 = sk6
    | greater(sk6,sk7) ),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[mp16_21,19,18]),26]) ).

cnf(28,plain,
    sk7 != sk6,
    inference('UR-RESOLVE',[status(thm)],[mp18_23,22,t13_FOL_27,t13_FOL_26,t13_FOL_30,t13_FOL_29]) ).

cnf(29,plain,
    greater(sk6,sk7),
    inference('REWRITE',[status(thm)],[27,28]) ).

cnf(32,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[t12_FOL_25,25,t13_FOL_27,t13_FOL_26,t13_FOL_30,t13_FOL_29,t13_FOL_33]),29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : MGT013-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n029.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 09:43:51 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  * 
% 0.18/0.46  #<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 2022-06-09T09:43:52
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-09T09:43:52
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/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  ;        55 formulas have been input or derived (from 27 formulas).
% 0.18/0.49  ;        32 (58%) were retained.  Of these,
% 0.18/0.49  ;            1 ( 3%) were simplified or subsumed later,
% 0.18/0.49  ;           31 (97%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.003   9%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.000   0%   Assert                       (17 calls)
% 0.18/0.49  ;     0.002   6%   Process new row              (48 calls)
% 0.18/0.49  ;     0.006  18%   Resolution                   (52 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (26 calls)
% 0.18/0.49  ;     0.001   3%   Condensing                   (9 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (9 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (48 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (32 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (4 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  ;     0.021  64%   Other
% 0.18/0.49  ;     0.033        Total
% 0.18/0.49  ;     0.036        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 39 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 8 entries (9 at peak, 9 added, 1 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 20 nodes (27 at peak, 27 added, 7 deleted).
% 0.18/0.49  ;  Retrieved 2 possibly forward subsuming rows in 9 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.18/0.49  ; Path-index has 46 entries (46 at peak, 47 added, 1 deleted).
% 0.18/0.49  ; Path-index has 81 nodes (81 at peak, 83 added, 2 deleted).
% 0.18/0.49  ; Trie-index has 46 entries (46 at peak, 47 added, 1 deleted).
% 0.18/0.49  ; Trie-index has 71 nodes (71 at peak, 73 added, 2 deleted).
% 0.18/0.49  ; Retrieved 15 generalization terms in 27 calls.
% 0.18/0.49  ; Retrieved 28 instance terms in 22 calls.
% 0.18/0.49  ; Retrieved 929 unifiable terms in 525 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 1 entry:
% 0.18/0.49  ;     1 with value 7
% 0.18/0.49  ; The agenda of rows to give has 4 entries:
% 0.18/0.49  ;     2 with value (4 6)           2 with value (4 7)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.036 seconds of real time
% 0.18/0.49    0.028792 seconds of user run time
% 0.18/0.49    0.006979 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    3,029,744 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T09:43:52
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------