TSTP Solution File: DAT060_1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : DAT060_1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 01:27:26 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    6 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   23 (   4 equ)
%            Maximal formula atoms :    2 (   3 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   16 (  16 fml;   0 var)
%            Number arithmetic     :    3 (   1 atm;   0 fun;   0 num;   2 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   8 usr;   7 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    5 (   0 sgn   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
tff(3,axiom,
    ! [X: $int,Y: $int,Z: array,U: data] :
      ( ( X = Y )
      | ( get(put(Z,Y,U),X) = get(Z,X) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/DAT004=0.ax',ax_19) ).

cnf('$$LESS-IS-IRREFLEXIVE',axiom,
    ~ $less(X,X) ).

tff(19,negated_conjecture,
    get(put('SKOLEMAAAO3.array','SKOLEMAAAO5.$int','SKOLEMAAAO2.data'),'SKOLEMAAAO4.$int') != get('SKOLEMAAAO3.array','SKOLEMAAAO4.$int'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_6) ).

tff(20,negated_conjecture,
    $less('SKOLEMAAAO4.$int','SKOLEMAAAO5.$int'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_lem_6) ).

tff(23,plain,
    'SKOLEMAAAO4.$int' = 'SKOLEMAAAO5.$int',
    inference('HYPERRESOLVE',[status(thm)],[19,3]) ).

cnf(25,plain,
    $false,
    inference('REWRITE',[status(thm)],[20,'$$LESS-IS-IRREFLEXIVE',23,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : DAT060_1 : TPTP v8.1.0. Released v5.5.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n015.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 18:06:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-01T18:06:28
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-01T18:06:28
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  #||
% 0.20/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  ||#
% 0.20/0.49  
% 0.20/0.49  ; Summary of computation:
% 0.20/0.49  ;        57 formulas have been input or derived (from 20 formulas).
% 0.20/0.49  ;        25 (44%) were retained.  Of these,
% 0.20/0.49  ;            4 (16%) were simplified or subsumed later,
% 0.20/0.49  ;           21 (84%) are still being kept.
% 0.20/0.49  ; 
% 0.20/0.49  ; Run time in seconds:
% 0.20/0.49  ;     0.002  11%   Read assertion file          (1 call)
% 0.20/0.49  ;     0.001   6%   Assert                       (6 calls)
% 0.20/0.49  ;     0.001   6%   Process new row              (42 calls)
% 0.20/0.49  ;     0.000   0%   Resolution                   (38 calls)
% 0.20/0.49  ;     0.001   6%   Paramodulation               (19 calls)
% 0.20/0.49  ;     0.000   0%   Factoring                    (5 calls)
% 0.20/0.49  ;     0.000   0%   Condensing                   (11 calls)
% 0.20/0.49  ;     0.000   0%   Forward subsumption          (11 calls)
% 0.20/0.49  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.20/0.49  ;     0.000   0%   Forward simplification       (42 calls)
% 0.20/0.49  ;     0.000   0%   Backward simplification      (25 calls)
% 0.20/0.49  ;     0.001   6%   Ordering                     (39 calls)
% 0.20/0.49  ;     0.000   0%   Sortal reasoning             (58 calls)
% 0.20/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.49  ;     0.012  67%   Other
% 0.20/0.49  ;     0.018        Total
% 0.20/0.49  ;     0.019        Real time
% 0.20/0.49  ; 
% 0.20/0.49  ; Term-hash-array has 40 terms in all.
% 0.20/0.49  ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.20/0.49  ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.20/0.49  ;  Retrieved 0 possibly forward subsuming rows in 11 calls.
% 0.20/0.49  ;  Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.20/0.49  ; Path-index has 40 entries (45 at peak, 49 added, 9 deleted).
% 0.20/0.49  ; Path-index has 111 nodes (127 at peak, 134 added, 23 deleted).
% 0.20/0.49  ; Trie-index has 40 entries (45 at peak, 49 added, 9 deleted).
% 0.20/0.49  ; Trie-index has 96 nodes (114 at peak, 122 added, 26 deleted).
% 0.20/0.49  ; Retrieved 23 generalization terms in 48 calls.
% 0.20/0.49  ; Retrieved 13 instance terms in 13 calls.
% 0.20/0.49  ; Retrieved 150 unifiable terms in 71 calls.
% 0.20/0.49  ; 
% 0.20/0.49  ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.20/0.49  ;     2 with value 0
% 0.20/0.49  ; The agenda of rows to process has 4 entries:
% 0.20/0.49  ;     1 with value 12              2 with value 14               1 with value 21
% 0.20/0.49  ; The agenda of input rows to give has 2 entries:
% 0.20/0.49  ;     1 with value 7               1 with value 18
% 0.20/0.49  ; The agenda of rows to give has 1 entry:
% 0.20/0.49  ;     1 with value (4 5)
% 0.20/0.49  Evaluation took:
% 0.20/0.49    0.019 seconds of real time
% 0.20/0.49    0.015542 seconds of user run time
% 0.20/0.49    0.003134 seconds of system run time
% 0.20/0.49    0 calls to %EVAL
% 0.20/0.49    0 page faults and
% 0.20/0.49    1,797,096 bytes consed.
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T18:06:28
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  * 
%------------------------------------------------------------------------------