TSTP Solution File: RNG088+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:40:45 EDT 2022

% Result   : Theorem 0.19s 0.54s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;  10 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(54,hypothesis,
    ( ~ aElementOf0(X,xI)
    | ~ aElementOf0(Y,xI)
    | aElementOf0(sdtpldt0(X,Y),xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).

cnf(58,hypothesis,
    ( ~ aElementOf0(X,xJ)
    | ~ aElementOf0(Y,xJ)
    | aElementOf0(sdtpldt0(X,Y),xJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).

cnf(70,hypothesis,
    aElementOf0(xk,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).

cnf(71,hypothesis,
    aElementOf0(xl,xJ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).

cnf(73,hypothesis,
    aElementOf0(xm,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).

cnf(74,hypothesis,
    aElementOf0(xn,xJ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).

cnf(76,negated_conjecture,
    ( ~ aElementOf0(sdtpldt0(xk,xm),xI)
    | ~ aElementOf0(sdtpldt0(xl,xn),xJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(154,plain,
    aElementOf0(sdtpldt0(xk,xm),xI),
    inference('HYPERRESOLVE',[status(thm)],[54,70,73]) ).

cnf(155,plain,
    ~ aElementOf0(sdtpldt0(xl,xn),xJ),
    inference('REWRITE',[status(thm)],[76,154]) ).

cnf(160,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[58,71,74,155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon May 30 08:22:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.48  #<PACKAGE "SNARK-USER">
% 0.19/0.48  * 
% 0.19/0.48  SNARK-TPTP-OPTIONS
% 0.19/0.48  * 
% 0.19/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48   (USE-FACTORING :POS)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48  * 
% 0.19/0.48  "."
% 0.19/0.48  * 
% 0.19/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T08:22:59
% 0.19/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-05-30T08:22:59
% 0.19/0.54  
% 0.19/0.54  
% 0.19/0.54  #||
% 0.19/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54  % SZS output start Refutation
% See solution above
% 0.19/0.54  ||#
% 0.19/0.54  
% 0.19/0.54  ; Summary of computation:
% 0.19/0.54  ;       356 formulas have been input or derived (from 47 formulas).
% 0.19/0.54  ;       160 (45%) were retained.  Of these,
% 0.19/0.54  ;            1 ( 1%) were simplified or subsumed later,
% 0.19/0.54  ;          159 (99%) are still being kept.
% 0.19/0.54  ; 
% 0.19/0.54  ; Run time in seconds:
% 0.19/0.54  ;     0.008  12%   Read assertion file          (1 call)
% 0.19/0.54  ;     0.003   5%   Assert                       (29 calls)
% 0.19/0.54  ;     0.010  15%   Process new row              (322 calls)
% 0.19/0.54  ;     0.006   9%   Resolution                   (92 calls)
% 0.19/0.54  ;     0.000   0%   Paramodulation               (46 calls)
% 0.19/0.54  ;     0.002   3%   Condensing                   (54 calls)
% 0.19/0.54  ;     0.001   2%   Forward subsumption          (54 calls)
% 0.19/0.54  ;     0.002   3%   Backward subsumption         (54 calls)
% 0.19/0.54  ;     0.001   2%   Clause clause subsumption    (25 calls)
% 0.19/0.54  ;     0.003   5%   Forward simplification       (322 calls)
% 0.19/0.54  ;     0.002   3%   Backward simplification      (160 calls)
% 0.19/0.54  ;     0.000   0%   Ordering                     (58 calls)
% 0.19/0.54  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.19/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.54  ;     0.026  40%   Other
% 0.19/0.54  ;     0.065        Total
% 0.19/0.54  ;     0.065        Real time
% 0.19/0.54  ; 
% 0.19/0.54  ; Term-hash-array has 302 terms in all.
% 0.19/0.54  ; Feature-vector-row-index has 53 entries (54 at peak, 54 added, 1 deleted).
% 0.19/0.54  ; Feature-vector-row-index has 188 nodes (202 at peak, 202 added, 14 deleted).
% 0.19/0.54  ;  Retrieved 17 possibly forward subsuming rows in 54 calls.
% 0.19/0.54  ;  Retrieved 8 possibly backward subsumed rows in 54 calls.
% 0.19/0.54  ; Path-index has 317 entries (317 at peak, 319 added, 2 deleted).
% 0.19/0.54  ; Path-index has 526 nodes (526 at peak, 529 added, 3 deleted).
% 0.19/0.54  ; Trie-index has 317 entries (317 at peak, 319 added, 2 deleted).
% 0.19/0.54  ; Trie-index has 676 nodes (676 at peak, 681 added, 5 deleted).
% 0.19/0.54  ; Retrieved 192 generalization terms in 520 calls.
% 0.19/0.54  ; Retrieved 105 instance terms in 105 calls.
% 0.19/0.54  ; Retrieved 4,400 unifiable terms in 468 calls.
% 0.19/0.54  ; 
% 0.19/0.54  ; The agenda of rows to process has 34 entries:
% 0.19/0.54  ;     2 with value 5              32 with value 8
% 0.19/0.54  ; The agenda of input rows to give has 31 entries:
% 0.19/0.54  ;     2 with value 16              2 with value 23               5 with value 32
% 0.19/0.54  ;     2 with value 17              4 with value 24               1 with value 40
% 0.19/0.54  ;     1 with value 18              5 with value 25               1 with value 41
% 0.19/0.54  ;     4 with value 21              1 with value 26               1 with value 42
% 0.19/0.54  ;     1 with value 22              1 with value 31
% 0.19/0.54  ; The agenda of rows to give has 82 entries:
% 0.19/0.54  ;     8 with value (4 4)           5 with value (4 7)            7 with value (4 10)
% 0.19/0.54  ;     3 with value (4 6)          53 with value (4 8)            6 with value (4 11)
% 0.19/0.54  Evaluation took:
% 0.19/0.54    0.067 seconds of real time
% 0.19/0.54    0.057526 seconds of user run time
% 0.19/0.54    0.008782 seconds of system run time
% 0.19/0.54    0 calls to %EVAL
% 0.19/0.54    0 page faults and
% 0.19/0.54    3,456,016 bytes consed.
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T08:22:59
% 0.19/0.54  :PROOF-FOUND
% 0.19/0.54  * 
%------------------------------------------------------------------------------