TSTP Solution File: NUM606+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM606+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 14:12:08 EDT 2022

% Result   : Theorem 0.77s 0.95s
% Output   : Refutation 0.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (  10 unt;   0 nHn;  12 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ aSet0(X)
    | ~ aSubsetOf0(Y,X)
    | aSet0(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

cnf(15,axiom,
    ( ~ aSet0(X)
    | ~ aSet0(Y)
    | ~ aSet0(Z)
    | ~ aSubsetOf0(X,Y)
    | ~ aSubsetOf0(Y,Z)
    | aSubsetOf0(X,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).

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

cnf(141,hypothesis,
    aSubsetOf0(xS,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).

cnf(187,hypothesis,
    aSet0(xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).

cnf(193,hypothesis,
    aSubsetOf0(xO,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).

cnf(195,hypothesis,
    aSubsetOf0(xQ,xO),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).

cnf(197,negated_conjecture,
    ~ aSubsetOf0(xQ,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(228,plain,
    aSet0(xQ),
    inference('HYPERRESOLVE',[status(thm)],[8,187,195]) ).

cnf(229,plain,
    aSet0(xS),
    inference('HYPERRESOLVE',[status(thm)],[8,40,141]) ).

cnf(1060,plain,
    ~ aSubsetOf0(xO,szNzAzT0),
    inference('UR-RESOLVE',[status(thm)],[15,228,187,40,195,197]) ).

cnf(1291,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,229,187,40,193,141]),1060]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : NUM606+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.11  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n025.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jul  6 02:14:42 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44  * 
% 0.17/0.44  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45   (USE-FACTORING :POS)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45  * 
% 0.17/0.45  "."
% 0.17/0.45  * 
% 0.17/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T02:14:43
% 0.17/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-06T02:14:43
% 0.77/0.95  
% 0.77/0.95  
% 0.77/0.95  #||
% 0.77/0.95  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95  % SZS output start Refutation
% See solution above
% 0.77/0.95  ||#
% 0.77/0.95  
% 0.77/0.95  ; Summary of computation:
% 0.77/0.95  ;      2052 formulas have been input or derived (from 205 formulas).
% 0.77/0.95  ;      1291 (63%) were retained.  Of these,
% 0.77/0.95  ;           43 ( 3%) were simplified or subsumed later,
% 0.77/0.95  ;         1248 (97%) are still being kept.
% 0.77/0.95  ; 
% 0.77/0.95  ; Run time in seconds excluding printing time:
% 0.77/0.95  ;     0.026   5%   Read assertion file          (1 call)
% 0.77/0.95  ;     0.007   1%   Assert                       (101 calls)
% 0.77/0.95  ;     0.080  16%   Process new row              (1,700 calls)
% 0.77/0.95  ;     0.225  45%   Resolution                   (408 calls)
% 0.77/0.95  ;     0.006   1%   Paramodulation               (204 calls)
% 0.77/0.95  ;     0.011   2%   Condensing                   (968 calls)
% 0.77/0.95  ;     0.053  11%   Forward subsumption          (968 calls)
% 0.77/0.95  ;     0.027   5%   Backward subsumption         (914 calls)
% 0.77/0.95  ;     0.000   0%   Clause clause subsumption    (235 calls)
% 0.77/0.95  ;     0.026   5%   Forward simplification       (1,700 calls)
% 0.77/0.95  ;     0.005   1%   Backward simplification      (1,289 calls)
% 0.77/0.95  ;     0.002   0%   Ordering                     (1,848 calls)
% 0.77/0.95  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.77/0.95  ;     0.001   0%   Purity testing               (1 call)
% 0.77/0.95  ;     0.027   5%   Other
% 0.77/0.95  ;     0.497        Total
% 0.77/0.95  ;     0.499        Real time
% 0.77/0.95  ; 
% 0.77/0.95  ; Term-hash-array has 2,770 terms in all.
% 0.77/0.95  ; Feature-vector-row-index has 885 entries (886 at peak, 914 added, 29 deleted).
% 0.77/0.95  ; Feature-vector-row-index has 6,192 nodes (6,207 at peak, 6,440 added, 248 deleted).
% 0.77/0.95  ;  Retrieved 319 possibly forward subsuming rows in 968 calls.
% 0.77/0.95  ;  Retrieved 142 possibly backward subsumed rows in 914 calls.
% 0.77/0.95  ; Path-index has 2,760 entries (2,760 at peak, 2,816 added, 56 deleted).
% 0.77/0.95  ; Path-index has 2,042 nodes (2,042 at peak, 2,056 added, 14 deleted).
% 0.77/0.95  ; Trie-index has 2,760 entries (2,760 at peak, 2,816 added, 56 deleted).
% 0.77/0.95  ; Trie-index has 5,468 nodes (5,468 at peak, 5,565 added, 97 deleted).
% 0.77/0.95  ; Retrieved 959 generalization terms in 5,509 calls.
% 0.77/0.95  ; Retrieved 375 instance terms in 374 calls.
% 0.77/0.95  ; Retrieved 511,212 unifiable terms in 16,622 calls.
% 0.77/0.95  ; 
% 0.77/0.95  ; The agenda of rows to process has 325 entries:
% 0.77/0.95  ;     6 with value 6              12 with value 13              72 with value 25
% 0.77/0.95  ;     4 with value 7               3 with value 16              15 with value 26
% 0.77/0.95  ;    31 with value 8               6 with value 17              36 with value 27
% 0.77/0.95  ;    12 with value 9               3 with value 22              15 with value 28
% 0.77/0.95  ;     1 with value 10             75 with value 24              30 with value 33
% 0.77/0.95  ;     4 with value 12
% 0.77/0.95  ; The agenda of rows to give has 1043 entries:
% 0.77/0.95  ;    18 with value (4 5)          18 with value (4 18)           1 with value (4 30)
% 0.77/0.95  ;    24 with value (4 6)          12 with value (4 19)           7 with value (4 31)
% 0.77/0.95  ;    48 with value (4 7)          23 with value (4 20)           3 with value (4 32)
% 0.77/0.95  ;    86 with value (4 8)          13 with value (4 21)          36 with value (4 33)
% 0.77/0.95  ;    82 with value (4 9)           2 with value (4 22)           3 with value (4 34)
% 0.77/0.95  ;    28 with value (4 10)          6 with value (4 23)           1 with value (4 35)
% 0.77/0.95  ;    15 with value (4 11)        121 with value (4 24)          19 with value (4 37)
% 0.77/0.95  ;    20 with value (4 12)        137 with value (4 25)           6 with value (4 38)
% 0.77/0.95  ;    11 with value (4 13)         48 with value (4 26)           4 with value (4 41)
% 0.77/0.95  ;     7 with value (4 14)         41 with value (4 27)           1 with value (4 44)
% 0.77/0.95  ;    24 with value (4 15)         48 with value (4 28)           1 with value (4 45)
% 0.77/0.95  ;    41 with value (4 16)          9 with value (4 29)           3 with value (4 51)
% 0.77/0.95  ;    76 with value (4 17)
% 0.77/0.95  Evaluation took:
% 0.77/0.95    0.499 seconds of real time
% 0.77/0.95    0.475763 seconds of user run time
% 0.77/0.95    0.02293 seconds of system run time
% 0.77/0.95    [Run times include 0.02 seconds GC run time.]
% 0.77/0.95    0 calls to %EVAL
% 0.77/0.95    0 page faults and
% 0.77/0.95    33,991,480 bytes consed.
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T02:14:43
% 0.77/0.95  :PROOF-FOUND
% 0.77/0.95  * 
%------------------------------------------------------------------------------