TSTP Solution File: ARI619_2 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ARI619_2 : TPTP v8.1.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 : Thu Jul 14 22:09:40 EDT 2022

% Result   : Theorem 0.34s 0.53s
% Output   : Refutation 0.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$PRODUCT')

% Comments : 
%------------------------------------------------------------------------------
tff(13,negated_conjecture,
    ! [X: $rat] :
      ( ~ pow2(X)
      | ( X = 1 )
      | $lesseq(2,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_pow_of_2_5) ).

tff(14,negated_conjecture,
    ! [X: $rat] :
      ( ~ pow2(X)
      | ( X = 1 )
      | ( $product(2,'SKOLEMAAAV1.$rat'(X)) = X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_pow_of_2_5) ).

tff(15,negated_conjecture,
    ! [X: $rat] :
      ( ~ pow2(X)
      | ( X = 1 )
      | pow2('SKOLEMAAAV1.$rat'(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_pow_of_2_5) ).

tff(18,negated_conjecture,
    pow2(5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_pow_of_2_5) ).

tff(20,plain,
    pow2('SKOLEMAAAV1.$rat'(5)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,18]),theory(equality)]) ).

tff(21,plain,
    'SKOLEMAAAV1.$rat'(5) = 5/2,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,18]),'CODE-FOR-$$PRODUCT',theory(equality)]) ).

tff(22,plain,
    pow2(5/2),
    inference('REWRITE',[status(thm)],[20,21,theory(equality)]) ).

tff(25,plain,
    pow2('SKOLEMAAAV1.$rat'(5/2)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,22]),theory(equality)]) ).

tff(26,plain,
    'SKOLEMAAAV1.$rat'(5/2) = 5/4,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,22]),'CODE-FOR-$$PRODUCT',theory(equality)]) ).

tff(27,plain,
    pow2(5/4),
    inference('REWRITE',[status(thm)],[25,26,theory(equality)]) ).

cnf(34,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,27]),'CODE-FOR-$$LESSEQ',theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI619_2 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jun 17 12:18:57 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T12:18:57
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-17T12:18:57
% 0.34/0.53  
% 0.34/0.53  
% 0.34/0.53  #||
% 0.34/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/0.53  % SZS output start Refutation
% See solution above
% 0.34/0.53  ||#
% 0.34/0.53  
% 0.34/0.53  ; Summary of computation:
% 0.34/0.53  ;        60 formulas have been input or derived (from 24 formulas).
% 0.34/0.53  ;        34 (57%) were retained.  Of these,
% 0.34/0.53  ;            4 (12%) were simplified or subsumed later,
% 0.34/0.53  ;           30 (88%) are still being kept.
% 0.34/0.53  ; 
% 0.34/0.53  ; Run time in seconds excluding printing time:
% 0.34/0.53  ;     0.001   3%   Read assertion file          (1 call)
% 0.34/0.53  ;     0.001   3%   Assert                       (1 call)
% 0.34/0.53  ;     0.004  13%   Process new row              (54 calls)
% 0.34/0.53  ;     0.002   7%   Resolution                   (46 calls)
% 0.34/0.53  ;     0.001   3%   Paramodulation               (23 calls)
% 0.34/0.53  ;     0.000   0%   Factoring                    (4 calls)
% 0.34/0.53  ;     0.000   0%   Condensing                   (13 calls)
% 0.34/0.53  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.34/0.53  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.34/0.53  ;     0.000   0%   Forward simplification       (54 calls)
% 0.34/0.53  ;     0.000   0%   Backward simplification      (34 calls)
% 0.34/0.53  ;     0.000   0%   Ordering                     (8 calls)
% 0.34/0.53  ;     0.000   0%   Sortal reasoning             (215 calls)
% 0.34/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.34/0.53  ;     0.021  70%   Other
% 0.34/0.53  ;     0.030        Total
% 0.34/0.53  ;     0.048        Real time
% 0.34/0.53  ; 
% 0.34/0.53  ; Term-hash-array has 40 terms in all.
% 0.34/0.53  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.34/0.53  ; Feature-vector-row-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.34/0.53  ;  Retrieved 0 possibly forward subsuming rows in 13 calls.
% 0.34/0.53  ;  Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.34/0.53  ; Path-index has 45 entries (45 at peak, 53 added, 8 deleted).
% 0.34/0.53  ; Path-index has 75 nodes (75 at peak, 83 added, 8 deleted).
% 0.34/0.53  ; Trie-index has 45 entries (45 at peak, 53 added, 8 deleted).
% 0.34/0.53  ; Trie-index has 60 nodes (60 at peak, 68 added, 8 deleted).
% 0.34/0.53  ; Retrieved 17 generalization terms in 37 calls.
% 0.34/0.53  ; Retrieved 20 instance terms in 20 calls.
% 0.34/0.53  ; Retrieved 279 unifiable terms in 139 calls.
% 0.34/0.53  ; 
% 0.34/0.53  ; The agenda of rows to process has 3 entries:
% 0.34/0.53  ;     1 with value 12              2 with value 16
% 0.34/0.53  ; The agenda of rows to give has 6 entries:
% 0.34/0.53  ;     1 with value (4 5)           1 with value (4 7)            1 with value (4 9)
% 0.34/0.53  ;     1 with value (4 6)           2 with value (4 8)
% 0.34/0.53  Evaluation took:
% 0.34/0.53    0.049 seconds of real time
% 0.34/0.53    0.028501 seconds of user run time
% 0.34/0.53    0.00483 seconds of system run time
% 0.34/0.53    0 calls to %EVAL
% 0.34/0.53    0 page faults and
% 0.34/0.53    2,107,960 bytes consed.
% 0.34/0.53  :PROOF-FOUND
% 0.34/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T12:18:57
% 0.34/0.53  :PROOF-FOUND
% 0.34/0.53  * 
%------------------------------------------------------------------------------