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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : TIM028_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n001.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  : 300s
% DateTime : Tue May  5 07:17:36 PM UTC 2026

% Result   : Theorem 0.37s 0.58s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')

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

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

tff(15,axiom,
    ! [X: $int] :
      ( valid_day(X)
      | ~ $greater(X,0)
      | ~ $lesseq(X,31) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',trap_ax) ).

tff(29,axiom,
    calc_date(0,3,2024,ymd(2024,2,29)),
    file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',lemma_boundary_leap_mar0) ).

tff(147,negated_conjecture,
    ! [X: $int,Y: $int,Z: $int] :
      ( ~ calc_date($sum(1,-1),3,2024,ymd(X,Y,Z))
      | ( Y != 2 )
      | ( Z != 29 )
      | ~ valid_day(Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_zero) ).

tff(148,plain,
    ! [X: $int,Y: $int,Z: $int] :
      ( ~ calc_date(0,3,2024,ymd(X,Y,Z))
      | ( Y != 2 )
      | ( Z != 29 )
      | ~ valid_day(Z) ),
    inference('REWRITE',[status(thm)],[147,'CODE-FOR-$$SUM']) ).

tff(152,plain,
    ! [X: $int] :
      ( ~ '$$$LESS'(0,X)
      | '$$$LESS'(31,X)
      | valid_day(X) ),
    inference('HYPERRESOLVE',[status(thm)],[15,'SOLVE-$$GREATER-BY-$$$LESS','SOLVE-$$LESSEQ-BY-$$$LESS']) ).

tff(156,plain,
    ~ valid_day(29),
    inference('UR-RESOLVE',[status(thm)],[148,29,theory(equality),theory(equality)]) ).

cnf(207,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[156,152]),'CODE-FOR-$$$LESS']) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : TIM028_1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.12  % Command  : run-snark %s %d
% 0.16/0.34  % Computer : n001.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Mon May  4 18:27:03 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.28/0.45  * 
% 0.28/0.45  * 
% 0.28/0.46  #<PACKAGE "SNARK-USER">
% 0.28/0.46  * 
% 0.28/0.46  SNARK-TPTP-OPTIONS
% 0.28/0.46  * 
% 0.28/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.28/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.28/0.46   (USE-FACTORING :POS)
% 0.28/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.28/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.28/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.28/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.28/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.28/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.28/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.28/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.28/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.28/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.28/0.46  * 
% 0.28/0.46  "."
% 0.28/0.46  * 
% 0.28/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-04T18:27:03
% 0.28/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n001.cluster.edu at 2026-05-04T18:27:03
% 0.28/0.51  WARNING:
% 0.28/0.51     |calc_datetime| is a 9-ary relation that occurs only positively; disabling rows that contain it.
% 0.28/0.51  WARNING:
% 0.28/0.51     |normalize_time| is a 7-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.58  
% 0.37/0.58  
% 0.37/0.58  #||
% 0.37/0.58  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.58  % SZS output start Refutation
% See solution above
% 0.37/0.58  ||#
% 0.37/0.58  
% 0.37/0.58  ; Summary of computation:
% 0.37/0.58  ;       342 formulas have been input or derived (from 139 formulas).
% 0.37/0.58  ;       207 (61%) were retained.  Of these,
% 0.37/0.58  ;           33 (16%) were simplified or subsumed later,
% 0.37/0.58  ;          174 (84%) are still being kept.
% 0.37/0.58  ; 
% 0.37/0.58  ; Run time in seconds excluding printing time:
% 0.37/0.58  ;     0.025  21%   Read assertion file          (1 call)
% 0.37/0.58  ;     0.007   6%   Assert                       (88 calls)
% 0.37/0.58  ;     0.017  14%   Process new row              (277 calls)
% 0.37/0.58  ;     0.021  18%   Resolution                   (276 calls)
% 0.37/0.58  ;     0.001   1%   Paramodulation               (138 calls)
% 0.37/0.58  ;     0.000   0%   Factoring                    (8 calls)
% 0.37/0.58  ;     0.002   2%   Condensing                   (86 calls)
% 0.37/0.58  ;     0.003   3%   Forward subsumption          (86 calls)
% 0.37/0.58  ;     0.001   1%   Backward subsumption         (86 calls)
% 0.37/0.58  ;     0.001   1%   Clause clause subsumption    (21 calls)
% 0.37/0.58  ;     0.008   7%   Forward simplification       (275 calls)
% 0.37/0.58  ;     0.001   1%   Backward simplification      (174 calls)
% 0.37/0.58  ;     0.001   1%   Ordering                     (88 calls)
% 0.37/0.58  ;     0.006   5%   Sortal reasoning             (4,795 calls)
% 0.37/0.58  ;     0.001   1%   Purity testing               (1 call)
% 0.37/0.58  ;     0.023  19%   Other
% 0.37/0.58  ;     0.118        Total
% 0.37/0.58  ;     0.120        Real time
% 0.37/0.58  ; 
% 0.37/0.58  ; Term-hash-array has 392 terms in all.
% 0.37/0.58  ; Feature-vector-row-index has 86 entries (86 at peak, 86 added, 0 deleted).
% 0.37/0.58  ; Feature-vector-row-index has 708 nodes (708 at peak, 708 added, 0 deleted).
% 0.37/0.58  ;  Retrieved 17 possibly forward subsuming rows in 86 calls.
% 0.37/0.58  ;  Retrieved 9 possibly backward subsumed rows in 86 calls.
% 0.37/0.58  ; Path-index has 462 entries (462 at peak, 462 added, 0 deleted).
% 0.37/0.58  ; Path-index has 671 nodes (671 at peak, 671 added, 0 deleted).
% 0.37/0.58  ; Trie-index has 462 entries (462 at peak, 462 added, 0 deleted).
% 0.37/0.58  ; Trie-index has 847 nodes (847 at peak, 847 added, 0 deleted).
% 0.37/0.58  ; Retrieved 85 generalization terms in 264 calls.
% 0.37/0.58  ; Retrieved 87 instance terms in 87 calls.
% 0.37/0.58  ; Retrieved 14,970 unifiable terms in 3,259 calls.
% 0.37/0.58  ; 
% 0.37/0.58  ; The agenda of rows to process has 4 entries:
% 0.37/0.58  ;     2 with value 10              2 with value 14
% 0.37/0.58  ; The agenda of rows to give has 35 entries:
% 0.37/0.58  ;     3 with value (4 12)         19 with value (4 19)           2 with value (4 40)
% 0.37/0.58  ;     4 with value (4 16)          2 with value (4 21)           2 with value (4 49)
% 0.37/0.58  ;     1 with value (4 18)          1 with value (4 26)           1 with value (4 63)
% 0.37/0.58  Evaluation took:
% 0.37/0.58    0.12 seconds of real time
% 0.37/0.58    0.103266 seconds of user run time
% 0.37/0.58    0.016957 seconds of system run time
% 0.37/0.58    0 calls to %EVAL
% 0.37/0.58    0 page faults and
% 0.37/0.58    5,785,608 bytes consed.
% 0.37/0.58  :PROOF-FOUND
% 0.37/0.58  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2026-05-04T18:27:03
% 0.37/0.58  :PROOF-FOUND
% 0.37/0.58  * 
%------------------------------------------------------------------------------