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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 00:35:15 EDT 2022

% Result   : Theorem 0.53s 0.73s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')

% Comments : 
%------------------------------------------------------------------------------
tff(11,negated_conjecture,
    'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))) != 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum('fun_app$g'('of_nat$','n$'),1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture5) ).

tff(12,plain,
    'heronConf_interpretation$'('pair$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')),'pair$a'('n$','pair$b'('psi$','phi$')))) != 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'('cons$'('ticks$'('k_1$','n$'),'cons$'('timestamp$'('k_2$','n$','tau$'),'gamma$')))),'tESL_interpretation_stepwise$'('psi$','n$'))),'tESL_interpretation_stepwise$'('phi$','nat$'($sum(1,'fun_app$g'('of_nat$','n$'))))),
    inference('REWRITE',[status(thm)],[11,'CODE-FOR-$$SUM']) ).

tff(17,axiom,
    ! [X: 'A_constr_list$',Y: 'Nat$',Z: 'A_TESL_atomic_list$',U: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('pair$'(X,'pair$a'(Y,'pair$b'(Z,U)))) = 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'(X)),'tESL_interpretation_stepwise$'(Z,Y))),'tESL_interpretation_stepwise$'(U,'nat$'($sum('fun_app$g'('of_nat$',Y),1)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom8) ).

tff(18,plain,
    ! [X: 'A_constr_list$',Y: 'Nat$',Z: 'A_TESL_atomic_list$',U: 'A_TESL_atomic_list$'] : ( 'heronConf_interpretation$'('pair$'(X,'pair$a'(Y,'pair$b'(Z,U)))) = 'fun_app$e'('fun_app$f'('inf$','fun_app$e'('fun_app$f'('inf$','symbolic_run_interpretation$'(X)),'tESL_interpretation_stepwise$'(Z,Y))),'tESL_interpretation_stepwise$'(U,'nat$'($sum(1,'fun_app$g'('of_nat$',Y))))) ),
    inference('REWRITE',[status(thm)],[17,'CODE-FOR-$$SUM']) ).

cnf(19,plain,
    $false,
    inference('REWRITE',[status(thm)],[12,18,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.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 : Fri Jun  3 22:29:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T22:29:40
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-03T22:29:40
% 0.53/0.72  WARNING:
% 0.53/0.72     |irrefl$| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.53/0.72  WARNING:
% 0.53/0.72     |less_eq$a| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72  WARNING:
% 0.53/0.72     |less_eq$b| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.72  WARNING:
% 0.53/0.72     |less_eq$c| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.73  
% 0.53/0.73  
% 0.53/0.73  #||
% 0.53/0.73  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.73  % SZS output start Refutation
% See solution above
% 0.53/0.73  ||#
% 0.53/0.73  
% 0.53/0.73  ; Summary of computation:
% 0.53/0.73  ;      1280 formulas have been input or derived (from 1 formulas).
% 0.53/0.73  ;        19 ( 1%) were retained.  Of these,
% 0.53/0.73  ;            5 (26%) were simplified or subsumed later,
% 0.53/0.73  ;           14 (74%) are still being kept.
% 0.53/0.73  ; 
% 0.53/0.73  ; Run time in seconds excluding printing time:
% 0.53/0.73  ;     0.200  75%   Read assertion file          (1 call)
% 0.53/0.73  ;     0.041  15%   Assert                       (638 calls)
% 0.53/0.73  ;     0.001   0%   Process new row              (16 calls)
% 0.53/0.73  ;     0.000   0%   Condensing                   (12 calls)
% 0.53/0.73  ;     0.000   0%   Forward subsumption          (12 calls)
% 0.53/0.73  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.53/0.73  ;     0.001   0%   Forward simplification       (16 calls)
% 0.53/0.73  ;     0.001   0%   Backward simplification      (16 calls)
% 0.53/0.73  ;     0.000   0%   Ordering                     (6 calls)
% 0.53/0.73  ;     0.000   0%   Sortal reasoning             (323 calls)
% 0.53/0.73  ;     0.003   1%   Purity testing               (1 call)
% 0.53/0.73  ;     0.018   7%   Other
% 0.53/0.73  ;     0.265        Total
% 0.53/0.73  ;     0.267        Real time
% 0.53/0.73  ; 
% 0.53/0.73  ; Term-hash-array has 78 terms in all.
% 0.53/0.73  ; Feature-vector-row-index has 11 entries (12 at peak, 12 added, 1 deleted).
% 0.53/0.73  ; Feature-vector-row-index has 43 nodes (71 at peak, 71 added, 28 deleted).
% 0.53/0.73  ;  Retrieved 0 possibly forward subsuming rows in 12 calls.
% 0.53/0.73  ;  Retrieved 0 possibly backward subsumed rows in 12 calls.
% 0.53/0.73  ; Path-index has 50 entries (88 at peak, 88 added, 38 deleted).
% 0.53/0.73  ; Path-index has 596 nodes (756 at peak, 756 added, 160 deleted).
% 0.53/0.73  ; Trie-index has 50 entries (88 at peak, 88 added, 38 deleted).
% 0.53/0.73  ; Trie-index has 240 nodes (493 at peak, 493 added, 253 deleted).
% 0.53/0.73  ; Retrieved 0 generalization terms in 9 calls.
% 0.53/0.73  ; Retrieved 7 instance terms in 5 calls.
% 0.53/0.73  ; 
% 0.53/0.73  ; The agenda of input rows to process has 1260 entries:
% 0.53/0.73  ;  1260 with value 0
% 0.53/0.73  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.53/0.73  ;     1 with value 0
% 0.53/0.73  ; The agenda of input rows to give has 13 entries:
% 0.53/0.73  ;    10 with value 10              1 with value 28               1 with value 34
% 0.53/0.73  ;     1 with value 18
% 0.53/0.73  Evaluation took:
% 0.53/0.73    0.267 seconds of real time
% 0.53/0.73    0.257162 seconds of user run time
% 0.53/0.73    0.010166 seconds of system run time
% 0.53/0.73    [Run times include 0.005 seconds GC run time.]
% 0.53/0.73    0 calls to %EVAL
% 0.53/0.73    0 page faults and
% 0.53/0.73    19,106,496 bytes consed.
% 0.53/0.73  :PROOF-FOUND
% 0.53/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-03T22:29:40
% 0.53/0.73  :PROOF-FOUND
% 0.53/0.73  * 
%------------------------------------------------------------------------------