TSTP Solution File: RNG089+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG089+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 20:40:45 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   8 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   0 equ;   6 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(47,axiom,
    ( ~ aIdeal0(X)
    | ~ aElementOf0(Y,X)
    | ~ aElement0(Z)
    | aElementOf0(sdtasdt0(Z,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).

cnf(53,hypothesis,
    aIdeal0(xI),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).

cnf(54,hypothesis,
    aIdeal0(xJ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).

cnf(57,hypothesis,
    aElement0(xz),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__901) ).

cnf(58,hypothesis,
    aElementOf0(xk,xI),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__934) ).

cnf(59,hypothesis,
    aElementOf0(xl,xJ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__934) ).

cnf(66,negated_conjecture,
    ( ~ aElementOf0(sdtasdt0(xz,xk),xI)
    | ~ aElementOf0(sdtasdt0(xz,xl),xJ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(103,plain,
    aElementOf0(sdtasdt0(xz,xl),xJ),
    inference('HYPERRESOLVE',[status(thm)],[47,54,59,57]) ).

cnf(104,plain,
    ~ aElementOf0(sdtasdt0(xz,xk),xI),
    inference('REWRITE',[status(thm)],[66,103]) ).

cnf(110,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[47,53,58,57]),104]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG089+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon May 30 18:07:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T18:07:22
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-30T18:07:22
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  #||
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation
% See solution above
% 0.18/0.50  ||#
% 0.18/0.50  
% 0.18/0.50  ; Summary of computation:
% 0.18/0.50  ;       247 formulas have been input or derived (from 39 formulas).
% 0.18/0.50  ;       110 (45%) were retained.  Of these,
% 0.18/0.50  ;            1 ( 1%) were simplified or subsumed later,
% 0.18/0.50  ;          109 (99%) are still being kept.
% 0.18/0.50  ; 
% 0.18/0.50  ; Run time in seconds:
% 0.18/0.50  ;     0.007  18%   Read assertion file          (1 call)
% 0.18/0.50  ;     0.002   5%   Assert                       (30 calls)
% 0.18/0.50  ;     0.006  15%   Process new row              (218 calls)
% 0.18/0.50  ;     0.004  10%   Resolution                   (76 calls)
% 0.18/0.50  ;     0.000   0%   Paramodulation               (38 calls)
% 0.18/0.50  ;     0.000   0%   Condensing                   (50 calls)
% 0.18/0.50  ;     0.000   0%   Forward subsumption          (50 calls)
% 0.18/0.50  ;     0.001   2%   Backward subsumption         (50 calls)
% 0.18/0.50  ;     0.000   0%   Clause clause subsumption    (25 calls)
% 0.18/0.50  ;     0.002   5%   Forward simplification       (218 calls)
% 0.18/0.50  ;     0.000   0%   Backward simplification      (110 calls)
% 0.18/0.50  ;     0.000   0%   Ordering                     (48 calls)
% 0.18/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.50  ;     0.018  45%   Other
% 0.18/0.50  ;     0.040        Total
% 0.18/0.50  ;     0.041        Real time
% 0.18/0.50  ; 
% 0.18/0.50  ; Term-hash-array has 214 terms in all.
% 0.18/0.50  ; Feature-vector-row-index has 49 entries (50 at peak, 50 added, 1 deleted).
% 0.18/0.50  ; Feature-vector-row-index has 170 nodes (183 at peak, 183 added, 13 deleted).
% 0.18/0.50  ;  Retrieved 17 possibly forward subsuming rows in 50 calls.
% 0.18/0.50  ;  Retrieved 8 possibly backward subsumed rows in 50 calls.
% 0.18/0.50  ; Path-index has 225 entries (225 at peak, 227 added, 2 deleted).
% 0.18/0.50  ; Path-index has 483 nodes (483 at peak, 485 added, 2 deleted).
% 0.18/0.50  ; Trie-index has 225 entries (225 at peak, 227 added, 2 deleted).
% 0.18/0.50  ; Trie-index has 541 nodes (541 at peak, 544 added, 3 deleted).
% 0.18/0.50  ; Retrieved 141 generalization terms in 383 calls.
% 0.18/0.50  ; Retrieved 59 instance terms in 59 calls.
% 0.18/0.50  ; Retrieved 2,499 unifiable terms in 375 calls.
% 0.18/0.50  ; 
% 0.18/0.50  ; The agenda of rows to process has 29 entries:
% 0.18/0.50  ;    17 with value 8              12 with value 11
% 0.18/0.50  ; The agenda of input rows to give has 29 entries:
% 0.18/0.50  ;     1 with value 7               2 with value 23               5 with value 32
% 0.18/0.50  ;     1 with value 17              4 with value 24               1 with value 40
% 0.18/0.50  ;     1 with value 18              5 with value 25               1 with value 41
% 0.18/0.50  ;     4 with value 21              1 with value 26               1 with value 42
% 0.18/0.50  ;     1 with value 22              1 with value 31
% 0.18/0.50  ; The agenda of rows to give has 42 entries:
% 0.18/0.50  ;     2 with value (4 4)           5 with value (4 7)            7 with value (4 10)
% 0.18/0.50  ;     3 with value (4 6)          19 with value (4 8)            6 with value (4 11)
% 0.18/0.50  Evaluation took:
% 0.18/0.50    0.041 seconds of real time
% 0.18/0.50    0.037996 seconds of user run time
% 0.18/0.50    0.003365 seconds of system run time
% 0.18/0.50    0 calls to %EVAL
% 0.18/0.50    0 page faults and
% 0.18/0.50    3,071,128 bytes consed.
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T18:07:22
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  * 
%------------------------------------------------------------------------------