TSTP Solution File: DAT001_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : DAT001_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 01:27:07 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$$LESS')

% Comments : 
%------------------------------------------------------------------------------
tff(2,axiom,
    ! [X: $int] : sorted(mycons(X,nil)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_is_sorted) ).

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

tff(15,axiom,
    ! [X: $int,Y: $int,Z: list] :
      ( ~ $less(X,Y)
      | ~ sorted(mycons(Y,Z))
      | sorted(mycons(X,mycons(Y,Z))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',recursive_sort) ).

tff(16,negated_conjecture,
    ~ sorted(mycons(1,mycons(2,mycons(4,mycons(7,mycons(100,nil)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',check_list) ).

tff(17,plain,
    ! [X: $int,Y: $int] :
      ( ~ '$$$LESS'(X,Y)
      | sorted(mycons(X,mycons(Y,nil))) ),
    inference('HYPERRESOLVE',[status(thm)],[15,'SOLVE-$$LESS-BY-$$$LESS',2]) ).

tff(18,plain,
    ! [X: $int,Y: $int,Z: $int] :
      ( ~ '$$$LESS'(X,Y)
      | ~ '$$$LESS'(Z,X)
      | sorted(mycons(Z,mycons(X,mycons(Y,nil)))) ),
    inference('HYPERRESOLVE',[status(thm)],[15,17,'SOLVE-$$LESS-BY-$$$LESS']) ).

tff(19,plain,
    ! [X: $int,Y: $int,Z: $int,U: $int] :
      ( ~ '$$$LESS'(X,Y)
      | ~ '$$$LESS'(Z,X)
      | ~ '$$$LESS'(U,Z)
      | sorted(mycons(U,mycons(Z,mycons(X,mycons(Y,nil))))) ),
    inference('HYPERRESOLVE',[status(thm)],[15,18,'SOLVE-$$LESS-BY-$$$LESS']) ).

tff(20,plain,
    ! [X: $int,Y: $int,Z: $int,U: $int,V: $int] :
      ( ~ '$$$LESS'(X,Y)
      | ~ '$$$LESS'(Z,X)
      | ~ '$$$LESS'(U,Z)
      | ~ '$$$LESS'(V,U)
      | sorted(mycons(V,mycons(U,mycons(Z,mycons(X,mycons(Y,nil)))))) ),
    inference('HYPERRESOLVE',[status(thm)],[15,19,'SOLVE-$$LESS-BY-$$$LESS']) ).

cnf(21,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,20]),'CODE-FOR-$$$LESS']) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : DAT001_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n016.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  1 18:24:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T18:24:13
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-01T18:24:13
% 0.19/0.50  
% 0.19/0.50  
% 0.19/0.50  #||
% 0.19/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50  % SZS output start Refutation
% See solution above
% 0.19/0.50  ||#
% 0.19/0.50  
% 0.19/0.50  ; Summary of computation:
% 0.19/0.50  ;        34 formulas have been input or derived (from 21 formulas).
% 0.19/0.50  ;        21 (62%) were retained.  Of these,
% 0.19/0.50  ;           21 (100%) are still being kept.
% 0.19/0.50  ; 
% 0.19/0.50  ; Run time in seconds excluding printing time:
% 0.19/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.19/0.50  ;     0.001   4%   Assert                       (4 calls)
% 0.19/0.50  ;     0.001   4%   Process new row              (31 calls)
% 0.19/0.50  ;     0.000   0%   Resolution                   (40 calls)
% 0.19/0.50  ;     0.000   0%   Paramodulation               (20 calls)
% 0.19/0.50  ;     0.000   0%   Factoring                    (8 calls)
% 0.19/0.50  ;     0.002   7%   Condensing                   (13 calls)
% 0.19/0.50  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.19/0.50  ;     0.000   0%   Backward subsumption         (13 calls)
% 0.19/0.50  ;     0.002   7%   Forward simplification       (31 calls)
% 0.19/0.50  ;     0.000   0%   Backward simplification      (21 calls)
% 0.19/0.50  ;     0.001   4%   Sortal reasoning             (64 calls)
% 0.19/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.50  ;     0.020  71%   Other
% 0.19/0.50  ;     0.028        Total
% 0.19/0.50  ;     0.031        Real time
% 0.19/0.50  ; 
% 0.19/0.50  ; Term-hash-array has 37 terms in all.
% 0.19/0.50  ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.19/0.50  ; Feature-vector-row-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.19/0.50  ;  Retrieved 0 possibly forward subsuming rows in 13 calls.
% 0.19/0.50  ;  Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.19/0.50  ; Path-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 0.19/0.50  ; Path-index has 108 nodes (108 at peak, 108 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 0.19/0.50  ; Trie-index has 98 nodes (98 at peak, 98 added, 0 deleted).
% 0.19/0.50  ; Retrieved 13 generalization terms in 21 calls.
% 0.19/0.50  ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.50  ; Retrieved 65 unifiable terms in 87 calls.
% 0.19/0.50  ; 
% 0.19/0.50  ; The agenda of rows to process has 1 entry:
% 0.19/0.50  ;     1 with value 46
% 0.19/0.50  Evaluation took:
% 0.19/0.50    0.031 seconds of real time
% 0.19/0.50    0.025951 seconds of user run time
% 0.19/0.50    0.004966 seconds of system run time
% 0.19/0.50    0 calls to %EVAL
% 0.19/0.50    0 page faults and
% 0.19/0.50    2,353,992 bytes consed.
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T18:24:13
% 0.19/0.50  :PROOF-FOUND
% 0.19/0.50  * 
%------------------------------------------------------------------------------