TSTP Solution File: RNG080+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG080+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 20:40:44 EDT 2022

% Result   : Theorem 11.57s 11.78s
% Output   : Refutation 11.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of clauses     :   24 (  23 unt;   1 nHn;  24 RR)
%            Number of literals    :   28 (  19 equ;   5 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  13 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(52,axiom,
    ( ~ aVector0(X)
    | ~ aVector0(Y)
    | aDimensionOf0(X) != aDimensionOf0(Y)
    | aDimensionOf0(Y) = sz00
    | sdtasasdt0(X,Y) = sdtpldt0(sdtasasdt0(sziznziztdt0(X),sziznziztdt0(Y)),sdtasdt0(sdtlbdtrb0(X,aDimensionOf0(X)),sdtlbdtrb0(Y,aDimensionOf0(Y)))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSPN) ).

cnf(54,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).

cnf(55,hypothesis,
    aVector0(xt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678) ).

cnf(57,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1678_01) ).

cnf(58,hypothesis,
    aDimensionOf0(xs) != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1692) ).

cnf(62,hypothesis,
    xp = sziznziztdt0(xs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1709) ).

cnf(67,hypothesis,
    xq = sziznziztdt0(xt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1726) ).

cnf(69,hypothesis,
    xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).

cnf(71,hypothesis,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).

cnf(72,plain,
    xB = sdtlbdtrb0(xt,aDimensionOf0(xs)),
    inference('REWRITE',[status(thm)],[71,57,theory(equality)]) ).

cnf(74,hypothesis,
    xC = sdtasasdt0(xp,xp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).

cnf(76,hypothesis,
    xD = sdtasasdt0(xq,xq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).

cnf(78,hypothesis,
    xE = sdtasasdt0(xp,xq),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).

cnf(80,hypothesis,
    xF = sdtasdt0(xA,xA),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).

cnf(82,hypothesis,
    xG = sdtasdt0(xB,xB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).

cnf(84,hypothesis,
    xH = sdtasdt0(xA,xB),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).

cnf(95,hypothesis,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2733) ).

cnf(96,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(33830,plain,
    sdtasasdt0(xs,xs) = sdtpldt0(xC,xF),
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[52,54,54,58,theory(equality)]),80,69,74,62,theory(equality)]) ).

cnf(33831,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG))),
    inference('REWRITE',[status(thm)],[95,33830,theory(equality)]) ).

cnf(34383,plain,
    sdtasasdt0(xt,xt) = sdtpldt0(xD,xG),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[52,55,55,theory(equality)]),82,72,76,67,58,57,theory(equality)]) ).

cnf(34930,plain,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
    inference('REWRITE',[status(thm)],[33831,34383,theory(equality)]) ).

cnf(34932,plain,
    sdtasasdt0(xs,xt) = sdtpldt0(xE,xH),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[52,54,55,57]),84,72,69,78,67,62,58,57,theory(equality)]) ).

cnf(35478,plain,
    $false,
    inference('REWRITE',[status(thm)],[34930,96,34932,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : RNG080+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n023.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 20:03:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 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 2022-05-30T20:03:57
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-30T20:03:57
% 11.57/11.78  
% 11.57/11.78  
% 11.57/11.78  #||
% 11.57/11.78  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.57/11.78  % SZS output start Refutation
% See solution above
% 11.66/11.84  ||#
% 11.66/11.84  
% 11.66/11.84  ; Summary of computation:
% 11.66/11.84  ;     80778 formulas have been input or derived (from 94 formulas).
% 11.66/11.84  ;     35478 (44%) were retained.  Of these,
% 11.66/11.84  ;         3015 ( 8%) were simplified or subsumed later,
% 11.66/11.84  ;        32463 (92%) are still being kept.
% 11.66/11.84  ; 
% 11.66/11.84  ; Run time in seconds excluding printing time:
% 11.66/11.84  ;     0.014   0%   Read assertion file          (1 call)
% 11.66/11.84  ;     0.002   0%   Assert                       (59 calls)
% 11.66/11.84  ;     4.301  38%   Process new row              (80,741 calls)
% 11.66/11.84  ;     2.708  24%   Resolution                   (186 calls)
% 11.66/11.84  ;     0.003   0%   Paramodulation               (93 calls)
% 11.66/11.84  ;     0.003   0%   Condensing                   (238 calls)
% 11.66/11.84  ;     0.003   0%   Forward subsumption          (238 calls)
% 11.66/11.84  ;     0.002   0%   Backward subsumption         (159 calls)
% 11.66/11.84  ;     0.000   0%   Clause clause subsumption    (125 calls)
% 11.66/11.84  ;     3.006  27%   Forward simplification       (80,741 calls)
% 11.66/11.84  ;     0.863   8%   Backward simplification      (35,474 calls)
% 11.66/11.84  ;     0.160   1%   Ordering                     (35,248 calls)
% 11.66/11.84  ;     0.000   0%   Sortal reasoning             (32 calls)
% 11.66/11.84  ;     0.000   0%   Purity testing               (1 call)
% 11.66/11.84  ;     0.262   2%   Other
% 11.66/11.84  ;    11.327        Total
% 11.66/11.84  ;    11.389        Real time
% 11.66/11.85  ; 
% 11.66/11.85  ; Term-hash-array has 96,984 terms in all.
% 11.66/11.85  ; Feature-vector-row-index has 153 entries (153 at peak, 159 added, 6 deleted).
% 11.66/11.85  ; Feature-vector-row-index has 616 nodes (616 at peak, 660 added, 44 deleted).
% 11.66/11.85  ;  Retrieved 195 possibly forward subsuming rows in 238 calls.
% 11.66/11.85  ;  Retrieved 47 possibly backward subsumed rows in 159 calls.
% 11.66/11.85  ; Path-index has 90,304 entries (92,322 at peak, 98,824 added, 8,520 deleted).
% 11.66/11.85  ; Path-index has 2,080 nodes (2,084 at peak, 2,212 added, 132 deleted).
% 11.66/11.85  ; Trie-index has 90,304 entries (92,322 at peak, 98,824 added, 8,520 deleted).
% 11.66/11.85  ; Trie-index has 461,059 nodes (470,254 at peak, 502,395 added, 41,336 deleted).
% 11.66/11.85  ; Retrieved 245,785 generalization terms in 1,001,112 calls.
% 11.66/11.85  ; Retrieved 35,319 instance terms in 35,314 calls.
% 11.66/11.85  ; Retrieved 6,996,101 unifiable terms in 271,475 calls.
% 11.66/11.85  ; 
% 11.66/11.85  ; The agenda of rows to process has 3 entries:
% 11.66/11.85  ;     1 with value 31              2 with value 44
% 11.66/11.85  ; The agenda of rows to give has 32373 entries:
% 11.66/11.85  ;    17 with value (4 5)         142 with value (4 20)          52 with value (4 35)
% 11.66/11.85  ;    15 with value (4 6)          96 with value (4 21)         111 with value (4 36)
% 11.66/11.85  ;   263 with value (4 7)         186 with value (4 23)          42 with value (4 37)
% 11.66/11.85  ;    71 with value (4 8)       16927 with value (4 24)         216 with value (4 38)
% 11.66/11.85  ;    86 with value (4 9)          13 with value (4 25)          25 with value (4 39)
% 11.66/11.85  ;   186 with value (4 10)        914 with value (4 26)           6 with value (4 40)
% 11.66/11.85  ;   566 with value (4 11)        104 with value (4 27)          38 with value (4 41)
% 11.66/11.85  ;     2 with value (4 12)         83 with value (4 28)           8 with value (4 42)
% 11.66/11.85  ;  1177 with value (4 13)        562 with value (4 29)          30 with value (4 43)
% 11.66/11.85  ;    12 with value (4 14)        124 with value (4 30)           4 with value (4 44)
% 11.66/11.85  ;  3472 with value (4 15)        482 with value (4 31)          50 with value (4 45)
% 11.66/11.85  ;     4 with value (4 16)        193 with value (4 32)           2 with value (4 47)
% 11.66/11.85  ;  2603 with value (4 17)        108 with value (4 33)           2 with value (4 49)
% 11.66/11.85  ;  3252 with value (4 18)        112 with value (4 34)           1 with value (4 51)
% 11.66/11.85  ;    14 with value (4 19)
% 11.66/11.85  Evaluation took:
% 11.66/11.85    11.392 seconds of real time
% 11.66/11.85    10.618097 seconds of user run time
% 11.66/11.85    0.772823 seconds of system run time
% 11.66/11.85    [Run times include 2.472 seconds GC run time.]
% 11.66/11.85    0 calls to %EVAL
% 11.66/11.85    0 page faults and
% 11.66/11.85    921,863,400 bytes consed.
% 11.66/11.85  :PROOF-FOUND
% 11.66/11.85  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T20:04:08
% 11.66/11.85  :PROOF-FOUND
% 11.66/11.85  * 
%------------------------------------------------------------------------------