TSTP Solution File: DAT009_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : DAT009_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 : Sat Jul 16 01:27:10 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$$LESS')

% Comments : 
%------------------------------------------------------------------------------
tff(1,axiom,
    ! [X: array,Y: $int,Z: $int] : ( read(write(X,Y,Z),Y) = Z ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT001=0.ax',ax1) ).

tff(2,axiom,
    ! [X: $int,Y: $int,Z: array,U: $int] :
      ( ( X = Y )
      | ( read(write(Z,X,U),Y) = read(Z,Y) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT001=0.ax',ax2) ).

tff('SOLVE-$$GREATER-BY-$$$LESS',axiom,
    ! [X: 'NUMBER',Y: 'NUMBER'] :
      ( $greater(X,Y)
      | ~ '$$$LESS'(Y,X) ) ).

tff(15,negated_conjecture,
    ! [X: $int] : $greater(read('SKOLEMAAAV2.array',X),X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(16,negated_conjecture,
    'SKOLEMAAAV1.array' = write('SKOLEMAAAV2.array','SKOLEMAAAV3.$int',$sum('SKOLEMAAAV3.$int',3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(17,plain,
    'SKOLEMAAAV1.array' = write('SKOLEMAAAV2.array','SKOLEMAAAV3.$int',$sum(3,'SKOLEMAAAV3.$int')),
    inference('REWRITE',[status(thm)],[16,'CODE-FOR-$$SUM']) ).

tff(18,negated_conjecture,
    ~ $greater(read('SKOLEMAAAV1.array','SKOLEMAAAV4.$int'),'SKOLEMAAAV4.$int'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(19,plain,
    ~ '$$$LESS'(0,$sum(read('SKOLEMAAAV1.array','SKOLEMAAAV4.$int'),$product(-1,'SKOLEMAAAV4.$int'))),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[18,'SOLVE-$$GREATER-BY-$$$LESS']),'CODE-FOR-$$$LESS','CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).

tff(21,plain,
    read('SKOLEMAAAV1.array','SKOLEMAAAV3.$int') = $sum(3,'SKOLEMAAAV3.$int'),
    inference('PARAMODULATE',[status(thm)],[1,17,theory(equality)]) ).

tff(22,plain,
    ! [X: $int] :
      ( ( 'SKOLEMAAAV3.$int' = X )
      | ( read('SKOLEMAAAV1.array',X) = read('SKOLEMAAAV2.array',X) ) ),
    inference('PARAMODULATE',[status(thm)],[2,17,theory(equality)]) ).

tff(23,plain,
    ! [X: $int] :
      ( ( 'SKOLEMAAAV3.$int' = X )
      | $greater(read('SKOLEMAAAV1.array',X),X) ),
    inference('PARAMODULATE',[status(thm)],[15,22,theory(equality)]) ).

tff(25,plain,
    'SKOLEMAAAV3.$int' = 'SKOLEMAAAV4.$int',
    inference('HYPERRESOLVE',[status(thm)],[18,23]) ).

cnf(27,plain,
    $false,
    inference('REWRITE',[status(thm)],[19,'CODE-FOR-$$$LESS','CODE-FOR-$$SUM',21,25,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : DAT009_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n008.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 : Fri Jul  1 20:06:38 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 2022-07-01T20:06:38
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-01T20:06:38
% 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
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        50 formulas have been input or derived (from 23 formulas).
% 0.21/0.52  ;        27 (54%) were retained.  Of these,
% 0.21/0.52  ;            3 (11%) were simplified or subsumed later,
% 0.21/0.52  ;           24 (89%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.002   6%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.001   3%   Assert                       (3 calls)
% 0.21/0.52  ;     0.001   3%   Process new row              (42 calls)
% 0.21/0.52  ;     0.001   3%   Resolution                   (44 calls)
% 0.21/0.52  ;     0.000   0%   Paramodulation               (22 calls)
% 0.21/0.52  ;     0.000   0%   Factoring                    (7 calls)
% 0.21/0.52  ;     0.001   3%   Condensing                   (12 calls)
% 0.21/0.52  ;     0.000   0%   Forward subsumption          (12 calls)
% 0.21/0.52  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.21/0.52  ;     0.001   3%   Forward simplification       (42 calls)
% 0.21/0.52  ;     0.002   6%   Backward simplification      (26 calls)
% 0.21/0.52  ;     0.000   0%   Ordering                     (51 calls)
% 0.21/0.52  ;     0.000   0%   Sortal reasoning             (65 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.023  72%   Other
% 0.21/0.52  ;     0.032        Total
% 0.21/0.52  ;     0.035        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 41 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 40 nodes (40 at peak, 40 added, 0 deleted).
% 0.21/0.52  ;  Retrieved 1 possibly forward subsuming row in 12 calls.
% 0.21/0.52  ;  Retrieved 0 possibly backward subsumed rows in 12 calls.
% 0.21/0.52  ; Path-index has 43 entries (47 at peak, 50 added, 7 deleted).
% 0.21/0.52  ; Path-index has 129 nodes (133 at peak, 139 added, 10 deleted).
% 0.21/0.52  ; Trie-index has 43 entries (47 at peak, 50 added, 7 deleted).
% 0.21/0.52  ; Trie-index has 84 nodes (85 at peak, 89 added, 5 deleted).
% 0.21/0.52  ; Retrieved 22 generalization terms in 34 calls.
% 0.21/0.52  ; Retrieved 13 instance terms in 13 calls.
% 0.21/0.52  ; Retrieved 74 unifiable terms in 72 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of rows to process has 2 entries:
% 0.21/0.52  ;     2 with value 14
% 0.21/0.52  ; The agenda of input rows to give has 1 entry:
% 0.21/0.52  ;     1 with value 7
% 0.21/0.52  ; The agenda of rows to give has 2 entries:
% 0.21/0.52  ;     1 with value (4 7)           1 with value (4 18)
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.035 seconds of real time
% 0.21/0.52    0.02641 seconds of user run time
% 0.21/0.52    0.008277 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    2,448,008 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T20:06:38
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------