TSTP Solution File: DAT031_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : DAT031_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 01:27:16 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$$LESS')

% Comments : 
%------------------------------------------------------------------------------
tff(2,axiom,
    ! [X: $int,Y: collection] : in(X,add(X,Y)),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax2) ).

tff(4,axiom,
    ! [X: $int,Y: collection,Z: $int] :
      ( ~ in(X,Y)
      | in(X,add(Z,Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax4) ).

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

tff(22,negated_conjecture,
    'SKOLEMAAAV1.collection' = add(10,add(30,add(50,empty))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(23,negated_conjecture,
    ! [X: $int] :
      ( ~ $lesseq(20,X)
      | ~ $lesseq(X,40)
      | ~ in(X,'SKOLEMAAAV1.collection') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

tff(24,plain,
    ! [X: $int,Y: $int,Z: collection] : in(X,add(Y,add(X,Z))),
    inference('HYPERRESOLVE',[status(thm)],[4,2]) ).

tff(35,plain,
    in(30,'SKOLEMAAAV1.collection'),
    inference('PARAMODULATE',[status(thm)],[24,22,theory(equality)]) ).

cnf(39,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[23,35,'SOLVE-$$LESSEQ-BY-$$$LESS','SOLVE-$$LESSEQ-BY-$$$LESS']),'CODE-FOR-$$$LESS']) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : DAT031_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n029.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
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jul  1 17:43:39 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T17:43:39
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-01T17:43:39
% 0.21/0.52  
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        74 formulas have been input or derived (from 29 formulas).
% 0.21/0.52  ;        39 (53%) were retained.  Of these,
% 0.21/0.52  ;           39 (100%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.003   9%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.001   3%   Assert                       (6 calls)
% 0.21/0.52  ;     0.002   6%   Process new row              (64 calls)
% 0.21/0.52  ;     0.002   6%   Resolution                   (56 calls)
% 0.21/0.52  ;     0.000   0%   Paramodulation               (28 calls)
% 0.21/0.52  ;     0.000   0%   Factoring                    (4 calls)
% 0.21/0.52  ;     0.002   6%   Condensing                   (20 calls)
% 0.21/0.52  ;     0.000   0%   Forward subsumption          (20 calls)
% 0.21/0.52  ;     0.000   0%   Backward subsumption         (20 calls)
% 0.21/0.52  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.21/0.52  ;     0.000   0%   Forward simplification       (64 calls)
% 0.21/0.52  ;     0.001   3%   Backward simplification      (39 calls)
% 0.21/0.52  ;     0.000   0%   Ordering                     (12 calls)
% 0.21/0.52  ;     0.001   3%   Sortal reasoning             (111 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.022  65%   Other
% 0.21/0.52  ;     0.034        Total
% 0.21/0.52  ;     0.035        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 66 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 54 nodes (54 at peak, 54 added, 0 deleted).
% 0.21/0.52  ;  Retrieved 5 possibly forward subsuming rows in 20 calls.
% 0.21/0.52  ;  Retrieved 1 possibly backward subsumed row in 20 calls.
% 0.21/0.52  ; Path-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.21/0.52  ; Path-index has 155 nodes (155 at peak, 155 added, 0 deleted).
% 0.21/0.52  ; Trie-index has 73 entries (73 at peak, 73 added, 0 deleted).
% 0.21/0.52  ; Trie-index has 128 nodes (128 at peak, 128 added, 0 deleted).
% 0.21/0.52  ; Retrieved 42 generalization terms in 65 calls.
% 0.21/0.52  ; Retrieved 18 instance terms in 18 calls.
% 0.21/0.52  ; Retrieved 273 unifiable terms in 152 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of rows to process has 1 entry:
% 0.21/0.52  ;     1 with value 14
% 0.21/0.52  ; The agenda of rows to give has 10 entries:
% 0.21/0.52  ;     1 with value (4 10)          2 with value (4 13)           1 with value (4 17)
% 0.21/0.52  ;     1 with value (4 11)          2 with value (4 15)           2 with value (4 19)
% 0.21/0.52  ;     1 with value (4 12)
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.036 seconds of real time
% 0.21/0.52    0.030919 seconds of user run time
% 0.21/0.52    0.005122 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    2,120,576 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T17:43:39
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------