TSTP Solution File: ARI621_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ARI621_1 : TPTP v8.1.0. Released v5.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 22:09:41 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$PRODUCT')

% Comments : 
%------------------------------------------------------------------------------
tff(14,negated_conjecture,
    ! [X: $int] :
      ( ~ pow2(X)
      | ( X = 1 )
      | ( $product(2,'SKOLEMAAAV1.$int'(X)) = X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_pow_of_2_10) ).

tff(15,negated_conjecture,
    ! [X: $int] :
      ( ~ pow2(X)
      | ( X = 1 )
      | pow2('SKOLEMAAAV1.$int'(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_pow_of_2_10) ).

tff(18,negated_conjecture,
    pow2(12),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_pow_of_2_10) ).

tff(20,plain,
    pow2('SKOLEMAAAV1.$int'(12)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,18]),theory(equality)]) ).

tff(21,plain,
    'SKOLEMAAAV1.$int'(12) = 6,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,18]),'CODE-FOR-$$PRODUCT',theory(equality)]) ).

tff(22,plain,
    pow2(6),
    inference('REWRITE',[status(thm)],[20,21,theory(equality)]) ).

tff(25,plain,
    pow2('SKOLEMAAAV1.$int'(6)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,22]),theory(equality)]) ).

tff(26,plain,
    'SKOLEMAAAV1.$int'(6) = 3,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,22]),'CODE-FOR-$$PRODUCT',theory(equality)]) ).

tff(27,plain,
    pow2(3),
    inference('REWRITE',[status(thm)],[25,26,theory(equality)]) ).

cnf(35,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[14,27]),'CODE-FOR-$$PRODUCT',theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ARI621_1 : TPTP v8.1.0. Released v5.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 13:50:47 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T13:50:47
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-17T13:50:47
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        60 formulas have been input or derived (from 24 formulas).
% 0.20/0.51  ;        35 (58%) were retained.  Of these,
% 0.20/0.51  ;            4 (11%) were simplified or subsumed later,
% 0.20/0.51  ;           31 (89%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.001   3%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (1 call)
% 0.20/0.51  ;     0.002   6%   Process new row              (56 calls)
% 0.20/0.51  ;     0.003  10%   Resolution                   (46 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (23 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (4 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (13 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.20/0.51  ;     0.001   3%   Backward subsumption         (13 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (56 calls)
% 0.20/0.51  ;     0.001   3%   Backward simplification      (35 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (8 calls)
% 0.20/0.51  ;     0.001   3%   Sortal reasoning             (205 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.021  68%   Other
% 0.20/0.51  ;     0.031        Total
% 0.20/0.51  ;     0.033        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 42 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 36 nodes (36 at peak, 36 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 13 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.20/0.51  ; Path-index has 48 entries (48 at peak, 56 added, 8 deleted).
% 0.20/0.51  ; Path-index has 78 nodes (78 at peak, 86 added, 8 deleted).
% 0.20/0.51  ; Trie-index has 48 entries (48 at peak, 56 added, 8 deleted).
% 0.20/0.51  ; Trie-index has 63 nodes (63 at peak, 71 added, 8 deleted).
% 0.20/0.51  ; Retrieved 17 generalization terms in 40 calls.
% 0.20/0.51  ; Retrieved 21 instance terms in 21 calls.
% 0.20/0.51  ; Retrieved 279 unifiable terms in 139 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 1 entry:
% 0.20/0.51  ;     1 with value 16
% 0.20/0.51  ; The agenda of rows to give has 7 entries:
% 0.20/0.51  ;     1 with value (4 5)           1 with value (4 7)            1 with value (4 9)
% 0.20/0.51  ;     1 with value (4 6)           3 with value (4 8)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.034 seconds of real time
% 0.20/0.51    0.026683 seconds of user run time
% 0.20/0.51    0.006909 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    2,039,272 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T13:50:47
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------