TSTP Solution File: RNG050+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG050+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 : Mon Jul 18 20:40:40 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;  10 RR)
%            Number of literals    :   16 (   6 equ;   6 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    aScalar0(sz0z00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).

cnf(32,axiom,
    ( ~ aScalar0(X)
    | sdtlseqdt0(X,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).

cnf(51,axiom,
    ( ~ aVector0(X)
    | ~ aVector0(Y)
    | aDimensionOf0(X) != aDimensionOf0(Y)
    | aDimensionOf0(Y) != sz00
    | sdtasasdt0(X,Y) = sz0z00 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).

cnf(53,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542) ).

cnf(55,negated_conjecture,
    ( aDimensionOf0(xs) = sz00
    | sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(56,negated_conjecture,
    ~ sdtlseqdt0(sz0z00,sdtasasdt0(xs,xs)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(57,plain,
    aDimensionOf0(xs) = sz00,
    inference('REWRITE',[status(thm)],[55,56]) ).

cnf(59,plain,
    sdtlseqdt0(sz0z00,sz0z00),
    inference('HYPERRESOLVE',[status(thm)],[32,8]) ).

cnf(72,plain,
    sdtasasdt0(xs,xs) = sz0z00,
    inference('HYPERRESOLVE',[status(thm)],[51,53,53,57,theory(equality)]) ).

cnf(73,plain,
    $false,
    inference('REWRITE',[status(thm)],[56,59,72,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : RNG050+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n017.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 : Mon May 30 14:59:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T14:59:25
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-30T14:59:25
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       134 formulas have been input or derived (from 46 formulas).
% 0.19/0.52  ;        73 (54%) were retained.  Of these,
% 0.19/0.52  ;            8 (11%) were simplified or subsumed later,
% 0.19/0.52  ;           65 (89%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.011  20%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.001   2%   Assert                       (39 calls)
% 0.19/0.52  ;     0.008  15%   Process new row              (99 calls)
% 0.19/0.52  ;     0.004   7%   Resolution                   (90 calls)
% 0.19/0.52  ;     0.001   2%   Paramodulation               (45 calls)
% 0.19/0.52  ;     0.000   0%   Condensing                   (53 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (53 calls)
% 0.19/0.52  ;     0.001   2%   Backward subsumption         (53 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (43 calls)
% 0.19/0.52  ;     0.003   6%   Forward simplification       (99 calls)
% 0.19/0.52  ;     0.000   0%   Backward simplification      (71 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (40 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.025  46%   Other
% 0.19/0.52  ;     0.054        Total
% 0.19/0.52  ;     0.055        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 160 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 50 entries (50 at peak, 53 added, 3 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 211 nodes (223 at peak, 236 added, 25 deleted).
% 0.19/0.52  ;  Retrieved 32 possibly forward subsuming rows in 53 calls.
% 0.19/0.52  ;  Retrieved 11 possibly backward subsumed rows in 53 calls.
% 0.19/0.52  ; Path-index has 159 entries (161 at peak, 166 added, 7 deleted).
% 0.19/0.52  ; Path-index has 409 nodes (411 at peak, 417 added, 8 deleted).
% 0.19/0.52  ; Trie-index has 159 entries (161 at peak, 166 added, 7 deleted).
% 0.19/0.52  ; Trie-index has 401 nodes (404 at peak, 413 added, 12 deleted).
% 0.19/0.52  ; Retrieved 55 generalization terms in 181 calls.
% 0.19/0.52  ; Retrieved 17 instance terms in 17 calls.
% 0.19/0.52  ; Retrieved 2,039 unifiable terms in 392 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.52  ;     1 with value 0
% 0.19/0.52  ; The agenda of rows to process has 2 entries:
% 0.19/0.52  ;     1 with value 24              1 with value 26
% 0.19/0.52  ; The agenda of input rows to give has 9 entries:
% 0.19/0.52  ;     2 with value 27              2 with value 33               1 with value 41
% 0.19/0.52  ;     2 with value 29              1 with value 39               1 with value 43
% 0.19/0.52  ; The agenda of rows to give has 12 entries:
% 0.19/0.52  ;     2 with value (4 5)           4 with value (4 7)            2 with value (4 16)
% 0.19/0.52  ;     1 with value (4 6)           3 with value (4 8)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.056 seconds of real time
% 0.19/0.52    0.048434 seconds of user run time
% 0.19/0.52    0.007153 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    3,041,376 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T14:59:25
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------