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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG047+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 0.14s 0.49s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (  13 unt;   2 nHn;  17 RR)
%            Number of literals    :   27 (  13 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( ~ aNaturalNumber0(X)
    | ~ aNaturalNumber0(Y)
    | szszuzczcdt0(X) != szszuzczcdt0(Y)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEqu) ).

cnf(41,axiom,
    ( ~ aVector0(X)
    | aNaturalNumber0(aDimensionOf0(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDimNat) ).

cnf(43,axiom,
    ( ~ aVector0(X)
    | aDimensionOf0(X) = sz00
    | Y != sziznziztdt0(X)
    | aVector0(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).

cnf(44,axiom,
    ( ~ aVector0(X)
    | aDimensionOf0(X) = sz00
    | Y != sziznziztdt0(X)
    | szszuzczcdt0(aDimensionOf0(Y)) = aDimensionOf0(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefInit) ).

cnf(48,hypothesis,
    aVector0(xs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329) ).

cnf(49,hypothesis,
    aVector0(xt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329) ).

cnf(50,hypothesis,
    aDimensionOf0(xs) = aDimensionOf0(xt),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).

cnf(51,hypothesis,
    aDimensionOf0(xt) != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1329_01) ).

cnf(52,plain,
    aDimensionOf0(xs) != sz00,
    inference('REWRITE',[status(thm)],[51,50,theory(equality)]) ).

cnf(53,negated_conjecture,
    aDimensionOf0(sziznziztdt0(xs)) != aDimensionOf0(sziznziztdt0(xt)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(64,plain,
    aVector0(sziznziztdt0(xs)),
    inference('UR-RESOLVE',[status(thm)],[43,48,52,theory(equality)]) ).

cnf(65,plain,
    aVector0(sziznziztdt0(xt)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[43,49,theory(equality)]),52,50,theory(equality)]) ).

cnf(66,plain,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xs))) = aDimensionOf0(xs),
    inference('UR-RESOLVE',[status(thm)],[44,48,52,theory(equality)]) ).

cnf(67,plain,
    szszuzczcdt0(aDimensionOf0(sziznziztdt0(xt))) = aDimensionOf0(xs),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[44,49,theory(equality)]),52,50,theory(equality)]) ).

cnf(91,plain,
    aNaturalNumber0(aDimensionOf0(sziznziztdt0(xs))),
    inference('HYPERRESOLVE',[status(thm)],[41,64]) ).

cnf(97,plain,
    aNaturalNumber0(aDimensionOf0(sziznziztdt0(xt))),
    inference('HYPERRESOLVE',[status(thm)],[41,65]) ).

cnf(316,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,97,91,53]),66,67,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : RNG047+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10  % Command  : run-snark %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Mon May 30 21:04:42 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.14/0.37  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38  * 
% 0.14/0.38  * 
% 0.14/0.38  #<PACKAGE "SNARK-USER">
% 0.14/0.38  * 
% 0.14/0.38  SNARK-TPTP-OPTIONS
% 0.14/0.38  * 
% 0.14/0.38  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.38   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.38   (USE-FACTORING :POS)
% 0.14/0.38   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.38   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.38   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.38   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.38   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.38   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.38   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.38   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.38   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.38   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.38  * 
% 0.14/0.38  "."
% 0.14/0.38  * 
% 0.14/0.38  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T21:04:43
% 0.14/0.38  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-30T21:04:43
% 0.14/0.40  WARNING:
% 0.14/0.40     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.14/0.49  
% 0.14/0.49  
% 0.14/0.49  #||
% 0.14/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.49  % SZS output start Refutation
% See solution above
% 0.14/0.49  ||#
% 0.14/0.49  
% 0.14/0.49  ; Summary of computation:
% 0.14/0.49  ;      1172 formulas have been input or derived (from 68 formulas).
% 0.14/0.49  ;       316 (27%) were retained.  Of these,
% 0.14/0.49  ;           23 ( 7%) were simplified or subsumed later,
% 0.14/0.49  ;          293 (93%) are still being kept.
% 0.14/0.49  ; 
% 0.14/0.49  ; Run time in seconds excluding printing time:
% 0.14/0.49  ;     0.005   5%   Read assertion file          (1 call)
% 0.14/0.49  ;     0.001   1%   Assert                       (35 calls)
% 0.14/0.49  ;     0.012  11%   Process new row              (1,090 calls)
% 0.14/0.49  ;     0.027  25%   Resolution                   (134 calls)
% 0.14/0.49  ;     0.002   2%   Paramodulation               (67 calls)
% 0.14/0.49  ;     0.001   1%   Condensing                   (81 calls)
% 0.14/0.49  ;     0.003   3%   Forward subsumption          (81 calls)
% 0.14/0.49  ;     0.001   1%   Backward subsumption         (77 calls)
% 0.14/0.49  ;     0.000   0%   Clause clause subsumption    (59 calls)
% 0.14/0.49  ;     0.029  27%   Forward simplification       (1,089 calls)
% 0.14/0.49  ;     0.004   4%   Backward simplification      (313 calls)
% 0.14/0.49  ;     0.001   1%   Ordering                     (253 calls)
% 0.14/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.14/0.49  ;     0.001   1%   Purity testing               (1 call)
% 0.14/0.49  ;     0.021  19%   Other
% 0.14/0.49  ;     0.108        Total
% 0.14/0.49  ;     0.110        Real time
% 0.14/0.49  ; 
% 0.14/0.49  ; Term-hash-array has 672 terms in all.
% 0.14/0.49  ; Feature-vector-row-index has 76 entries (76 at peak, 77 added, 1 deleted).
% 0.14/0.49  ; Feature-vector-row-index has 512 nodes (512 at peak, 519 added, 7 deleted).
% 0.14/0.49  ;  Retrieved 49 possibly forward subsuming rows in 81 calls.
% 0.14/0.49  ;  Retrieved 10 possibly backward subsumed rows in 77 calls.
% 0.14/0.49  ; Path-index has 657 entries (657 at peak, 676 added, 19 deleted).
% 0.14/0.49  ; Path-index has 1,019 nodes (1,019 at peak, 1,044 added, 25 deleted).
% 0.14/0.49  ; Trie-index has 657 entries (657 at peak, 676 added, 19 deleted).
% 0.14/0.49  ; Trie-index has 3,348 nodes (3,348 at peak, 3,419 added, 71 deleted).
% 0.14/0.49  ; Retrieved 2,487 generalization terms in 7,353 calls.
% 0.14/0.49  ; Retrieved 235 instance terms in 235 calls.
% 0.14/0.49  ; Retrieved 32,568 unifiable terms in 5,682 calls.
% 0.14/0.49  ; 
% 0.14/0.49  ; The agenda of rows to process has 7 entries:
% 0.14/0.49  ;     1 with value 19              3 with value 25               2 with value 29
% 0.14/0.49  ;     1 with value 20
% 0.14/0.49  ; The agenda of rows to give has 226 entries:
% 0.14/0.49  ;     8 with value (4 10)         20 with value (4 17)          20 with value (4 29)
% 0.14/0.49  ;     4 with value (4 11)         10 with value (4 19)           1 with value (4 31)
% 0.14/0.49  ;    12 with value (4 12)          7 with value (4 20)          16 with value (4 32)
% 0.14/0.49  ;    24 with value (4 13)         30 with value (4 23)          13 with value (4 33)
% 0.14/0.49  ;    12 with value (4 14)          2 with value (4 24)           1 with value (4 39)
% 0.14/0.49  ;     6 with value (4 15)          8 with value (4 25)          16 with value (4 46)
% 0.14/0.49  ;     6 with value (4 16)         10 with value (4 28)
% 0.14/0.49  Evaluation took:
% 0.14/0.49    0.11 seconds of real time
% 0.14/0.49    0.092624 seconds of user run time
% 0.14/0.49    0.017993 seconds of system run time
% 0.14/0.49    0 calls to %EVAL
% 0.14/0.49    0 page faults and
% 0.14/0.49    10,711,896 bytes consed.
% 0.14/0.49  :PROOF-FOUND
% 0.14/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T21:04:43
% 0.14/0.49  :PROOF-FOUND
% 0.14/0.49  * 
%------------------------------------------------------------------------------