TSTP Solution File: DAT093_1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : DAT093_1 : TPTP v8.1.0. Released v6.1.0.
% 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 01:27:36 EDT 2022

% Result   : Theorem 0.20s 0.55s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')

% Comments : 
%------------------------------------------------------------------------------
tff(29,axiom,
    length(nil) = 0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l) ).

tff(35,axiom,
    ! [X: list] : ( append(nil,X) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l_6) ).

tff(39,negated_conjecture,
    ! [X: list,Y: list] : ( length(append(X,Y)) = $sum(length(X),$sum(length(Y),1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c) ).

tff(40,plain,
    ! [X: list,Y: list] : ( length(append(X,Y)) = $sum(1,$sum(length(X),length(Y))) ),
    inference('REWRITE',[status(thm)],[39,'CODE-FOR-$$SUM']) ).

tff(55,plain,
    ! [X: list] : ( length(X) = $sum(1,length(X)) ),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[40,35,theory(equality)]),'CODE-FOR-$$SUM',29,theory(equality)]) ).

cnf(87,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[55,29,theory(equality)]),'CODE-FOR-$$SUM',theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : DAT093_1 : TPTP v8.1.0. Released v6.1.0.
% 0.06/0.13  % 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 20:13:38 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-01T20:13:38
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-01T20:13:38
% 0.20/0.55  
% 0.20/0.55  
% 0.20/0.55  #||
% 0.20/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.55  % SZS output start Refutation
% See solution above
% 0.20/0.55  ||#
% 0.20/0.55  
% 0.20/0.55  ; Summary of computation:
% 0.20/0.55  ;       319 formulas have been input or derived (from 48 formulas).
% 0.20/0.55  ;        87 (27%) were retained.  Of these,
% 0.20/0.55  ;           12 (14%) were simplified or subsumed later,
% 0.20/0.55  ;           75 (86%) are still being kept.
% 0.20/0.55  ; 
% 0.20/0.55  ; Run time in seconds excluding printing time:
% 0.20/0.55  ;     0.005   7%   Read assertion file          (1 call)
% 0.20/0.55  ;     0.002   3%   Assert                       (15 calls)
% 0.20/0.55  ;     0.012  17%   Process new row              (267 calls)
% 0.20/0.55  ;     0.004   6%   Resolution                   (94 calls)
% 0.20/0.55  ;     0.003   4%   Paramodulation               (47 calls)
% 0.20/0.55  ;     0.000   0%   Factoring                    (7 calls)
% 0.20/0.55  ;     0.001   1%   Condensing                   (59 calls)
% 0.20/0.55  ;     0.001   1%   Forward subsumption          (59 calls)
% 0.20/0.55  ;     0.001   1%   Backward subsumption         (51 calls)
% 0.20/0.55  ;     0.000   0%   Clause clause subsumption    (18 calls)
% 0.20/0.55  ;     0.005   7%   Forward simplification       (251 calls)
% 0.20/0.55  ;     0.000   0%   Backward simplification      (85 calls)
% 0.20/0.55  ;     0.008  11%   Ordering                     (744 calls)
% 0.20/0.55  ;     0.003   4%   Sortal reasoning             (834 calls)
% 0.20/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.55  ;     0.027  38%   Other
% 0.20/0.55  ;     0.072        Total
% 0.20/0.55  ;     0.074        Real time
% 0.20/0.55  ; 
% 0.20/0.55  ; Term-hash-array has 199 terms in all.
% 0.20/0.55  ; Feature-vector-row-index has 45 entries (45 at peak, 51 added, 6 deleted).
% 0.20/0.55  ; Feature-vector-row-index has 275 nodes (275 at peak, 320 added, 45 deleted).
% 0.20/0.55  ;  Retrieved 18 possibly forward subsuming rows in 59 calls.
% 0.20/0.55  ;  Retrieved 1 possibly backward subsumed row in 51 calls.
% 0.20/0.55  ; Path-index has 185 entries (186 at peak, 213 added, 28 deleted).
% 0.20/0.55  ; Path-index has 821 nodes (827 at peak, 877 added, 56 deleted).
% 0.20/0.55  ; Trie-index has 185 entries (186 at peak, 213 added, 28 deleted).
% 0.20/0.55  ; Trie-index has 636 nodes (647 at peak, 724 added, 88 deleted).
% 0.20/0.55  ; Retrieved 1,007 generalization terms in 1,399 calls.
% 0.20/0.55  ; Retrieved 61 instance terms in 41 calls.
% 0.20/0.55  ; Retrieved 1,640 unifiable terms in 339 calls.
% 0.20/0.55  ; 
% 0.20/0.55  ; The agenda of rows to process has 14 entries:
% 0.20/0.55  ;     2 with value 12              2 with value 18               1 with value 25
% 0.20/0.55  ;     1 with value 14              1 with value 19               1 with value 35
% 0.20/0.55  ;     2 with value 15              1 with value 20               1 with value 41
% 0.20/0.55  ;     1 with value 17              1 with value 23
% 0.20/0.55  ; The agenda of rows to give has 31 entries:
% 0.20/0.55  ;     1 with value (4 11)          2 with value (4 19)           3 with value (4 26)
% 0.20/0.55  ;     2 with value (4 12)          2 with value (4 20)           2 with value (4 27)
% 0.20/0.55  ;     3 with value (4 13)          1 with value (4 21)           1 with value (4 29)
% 0.20/0.55  ;     2 with value (4 14)          2 with value (4 22)           1 with value (4 31)
% 0.20/0.55  ;     2 with value (4 15)          2 with value (4 23)           2 with value (4 34)
% 0.20/0.55  ;     1 with value (4 17)          1 with value (4 24)           1 with value (4 46)
% 0.20/0.55  Evaluation took:
% 0.20/0.55    0.075 seconds of real time
% 0.20/0.55    0.067049 seconds of user run time
% 0.20/0.55    0.008126 seconds of system run time
% 0.20/0.55    0 calls to %EVAL
% 0.20/0.55    0 page faults and
% 0.20/0.55    3,402,144 bytes consed.
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-01T20:13:38
% 0.20/0.55  :PROOF-FOUND
% 0.20/0.55  * 
%------------------------------------------------------------------------------