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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM539+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 14:11:29 EDT 2022

% Result   : Theorem 0.60s 0.84s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   16 (  13 unt;   1 nHn;  16 RR)
%            Number of literals    :   27 (   6 equ;  13 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | ~ aElementOf0(Z,Y)
    | aElementOf0(Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(40,axiom,
    aSet0(szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).

cnf(55,axiom,
    ( ~ aElementOf0(X,szNzAzT0)
    | ~ aElementOf0(Y,szNzAzT0)
    | ~ sdtlseqdt0(X,Y)
    | ~ sdtlseqdt0(Y,X)
    | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).

cnf(69,axiom,
    ( ~ aSubsetOf0(X,szNzAzT0)
    | X = slcrc0
    | Y != szmzizndt0(X)
    | ~ aElementOf0(Z,X)
    | sdtlseqdt0(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).

cnf(76,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).

cnf(77,hypothesis,
    aSubsetOf0(xT,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).

cnf(78,hypothesis,
    xS != slcrc0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).

cnf(79,hypothesis,
    xT != slcrc0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).

cnf(80,hypothesis,
    aElementOf0(szmzizndt0(xS),xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).

cnf(81,hypothesis,
    aElementOf0(szmzizndt0(xT),xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).

cnf(82,negated_conjecture,
    szmzizndt0(xS) != szmzizndt0(xT),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(98,plain,
    aElementOf0(szmzizndt0(xT),szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[9,40,76,81]) ).

cnf(99,plain,
    aElementOf0(szmzizndt0(xS),szNzAzT0),
    inference('HYPERRESOLVE',[status(thm)],[9,40,77,80]) ).

cnf(103,plain,
    sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
    inference('UR-RESOLVE',[status(thm)],[69,76,78,81,theory(equality)]) ).

cnf(104,plain,
    sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)),
    inference('UR-RESOLVE',[status(thm)],[69,77,79,80,theory(equality)]) ).

cnf(1102,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[55,103,99,98,82]),104]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : NUM539+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n006.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 : Thu Jul  7 01:29:51 EDT 2022
% 0.12/0.33  % 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 2022-07-07T01:29:51
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-07T01:29:51
% 0.18/0.48  WARNING:
% 0.18/0.48     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.60/0.84  
% 0.60/0.84  
% 0.60/0.84  #||
% 0.60/0.84  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.84  % SZS output start Refutation
% See solution above
% 0.60/0.84  ||#
% 0.60/0.84  
% 0.60/0.84  ; Summary of computation:
% 0.60/0.84  ;      2019 formulas have been input or derived (from 119 formulas).
% 0.60/0.84  ;      1102 (55%) were retained.  Of these,
% 0.60/0.84  ;           73 ( 7%) were simplified or subsumed later,
% 0.60/0.84  ;         1029 (93%) are still being kept.
% 0.60/0.84  ; 
% 0.60/0.84  ; Run time in seconds excluding printing time:
% 0.60/0.84  ;     0.008   2%   Read assertion file          (1 call)
% 0.60/0.84  ;     0.003   1%   Assert                       (51 calls)
% 0.60/0.84  ;     0.063  16%   Process new row              (1,900 calls)
% 0.60/0.84  ;     0.173  45%   Resolution                   (236 calls)
% 0.60/0.84  ;     0.000   0%   Paramodulation               (118 calls)
% 0.60/0.84  ;     0.002   1%   Condensing                   (590 calls)
% 0.60/0.84  ;     0.049  13%   Forward subsumption          (590 calls)
% 0.60/0.84  ;     0.015   4%   Backward subsumption         (569 calls)
% 0.60/0.84  ;     0.002   1%   Clause clause subsumption    (194 calls)
% 0.60/0.84  ;     0.040  10%   Forward simplification       (1,899 calls)
% 0.60/0.84  ;     0.008   2%   Backward simplification      (1,102 calls)
% 0.60/0.84  ;     0.000   0%   Ordering                     (1,063 calls)
% 0.60/0.84  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.60/0.84  ;     0.000   0%   Purity testing               (1 call)
% 0.60/0.84  ;     0.020   5%   Other
% 0.60/0.84  ;     0.383        Total
% 0.60/0.84  ;     0.385        Real time
% 0.60/0.84  ; 
% 0.60/0.84  ; Term-hash-array has 1,920 terms in all.
% 0.60/0.84  ; Feature-vector-row-index has 523 entries (523 at peak, 569 added, 46 deleted).
% 0.60/0.84  ; Feature-vector-row-index has 3,543 nodes (3,543 at peak, 3,832 added, 289 deleted).
% 0.60/0.84  ;  Retrieved 150 possibly forward subsuming rows in 590 calls.
% 0.60/0.84  ;  Retrieved 94 possibly backward subsumed rows in 569 calls.
% 0.60/0.84  ; Path-index has 1,874 entries (1,874 at peak, 1,964 added, 90 deleted).
% 0.60/0.84  ; Path-index has 864 nodes (864 at peak, 907 added, 43 deleted).
% 0.60/0.84  ; Trie-index has 1,874 entries (1,874 at peak, 1,964 added, 90 deleted).
% 0.60/0.84  ; Trie-index has 3,839 nodes (3,839 at peak, 4,067 added, 228 deleted).
% 0.60/0.84  ; Retrieved 1,293 generalization terms in 5,509 calls.
% 0.60/0.84  ; Retrieved 532 instance terms in 532 calls.
% 0.60/0.84  ; Retrieved 309,816 unifiable terms in 20,212 calls.
% 0.60/0.84  ; 
% 0.60/0.84  ; The agenda of rows to process has 1 entry:
% 0.60/0.84  ;     1 with value 12
% 0.60/0.84  ; The agenda of rows to give has 910 entries:
% 0.60/0.84  ;    23 with value (4 8)          13 with value (4 16)          40 with value (4 24)
% 0.60/0.84  ;    32 with value (4 9)          14 with value (4 17)           9 with value (4 25)
% 0.60/0.84  ;    33 with value (4 10)         22 with value (4 18)          18 with value (4 30)
% 0.60/0.84  ;    92 with value (4 11)          3 with value (4 19)          91 with value (4 31)
% 0.60/0.84  ;   116 with value (4 12)         45 with value (4 20)          26 with value (4 32)
% 0.60/0.84  ;   137 with value (4 13)         19 with value (4 21)          35 with value (4 33)
% 0.60/0.84  ;     7 with value (4 14)         54 with value (4 22)           6 with value (4 42)
% 0.60/0.84  ;    20 with value (4 15)         19 with value (4 23)          36 with value (4 43)
% 0.60/0.84  Evaluation took:
% 0.60/0.84    0.385 seconds of real time
% 0.60/0.84    0.362907 seconds of user run time
% 0.60/0.84    0.022491 seconds of system run time
% 0.60/0.84    [Run times include 0.017 seconds GC run time.]
% 0.60/0.84    0 calls to %EVAL
% 0.60/0.84    0 page faults and
% 0.60/0.84    27,656,448 bytes consed.
% 0.60/0.84  :PROOF-FOUND
% 0.60/0.84  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:29:52
% 0.60/0.84  :PROOF-FOUND
% 0.60/0.84  * 
%------------------------------------------------------------------------------