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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG108+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 20:40:48 EDT 2022

% Result   : Theorem 0.13s 0.49s
% Output   : Refutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   19 (  13 unt;   0 nHn;  19 RR)
%            Number of literals    :   31 (   8 equ;  16 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    aElement0(sz00),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).

cnf(2,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).

cnf(14,axiom,
    ( ~ aElement0(X)
    | sdtasdt0(X,sz10) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulUnit) ).

cnf(20,axiom,
    ( ~ aElement0(X)
    | sdtasdt0(X,sz00) = sz00 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).

cnf(83,axiom,
    ( ~ aElement0(X)
    | Y != slsdtgt0(X)
    | aElementOf0(Z,Y)
    | ~ aElement0(U)
    | sdtasdt0(X,U) != Z ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).

cnf(88,hypothesis,
    aElement0(xa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

cnf(89,hypothesis,
    aElement0(xb),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).

cnf(94,negated_conjecture,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ aElementOf0(xa,slsdtgt0(xa))
    | ~ aElementOf0(sz00,slsdtgt0(xb))
    | ~ aElementOf0(xb,slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(111,plain,
    sdtasdt0(xb,sz10) = xb,
    inference('HYPERRESOLVE',[status(thm)],[14,89]) ).

cnf(112,plain,
    sdtasdt0(xa,sz10) = xa,
    inference('HYPERRESOLVE',[status(thm)],[14,88]) ).

cnf(118,plain,
    sdtasdt0(xb,sz00) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[20,89]) ).

cnf(119,plain,
    sdtasdt0(xa,sz00) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[20,88]) ).

cnf(260,plain,
    aElementOf0(xb,slsdtgt0(xb)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,89,2,theory(equality),theory(equality)]),111,theory(equality)]) ).

cnf(261,plain,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ aElementOf0(xa,slsdtgt0(xa))
    | ~ aElementOf0(sz00,slsdtgt0(xb)) ),
    inference('REWRITE',[status(thm)],[94,260]) ).

cnf(262,plain,
    aElementOf0(sz00,slsdtgt0(xb)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,89,1,theory(equality),theory(equality)]),118,theory(equality)]) ).

cnf(263,plain,
    ( ~ aElementOf0(sz00,slsdtgt0(xa))
    | ~ aElementOf0(xa,slsdtgt0(xa)) ),
    inference('REWRITE',[status(thm)],[261,262]) ).

cnf(266,plain,
    aElementOf0(xa,slsdtgt0(xa)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,88,2,theory(equality),theory(equality)]),112,theory(equality)]) ).

cnf(267,plain,
    ~ aElementOf0(sz00,slsdtgt0(xa)),
    inference('REWRITE',[status(thm)],[263,266]) ).

cnf(268,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[83,88,1,theory(equality),theory(equality)]),267,119,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : RNG108+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09  % Command  : run-snark %s %d
% 0.09/0.29  % Computer : n017.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 18:54:55 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.13/0.38  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38  * 
% 0.13/0.38  * 
% 0.13/0.39  #<PACKAGE "SNARK-USER">
% 0.13/0.39  * 
% 0.13/0.39  SNARK-TPTP-OPTIONS
% 0.13/0.39  * 
% 0.13/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.39   (USE-FACTORING :POS)
% 0.13/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.39  * 
% 0.13/0.39  "."
% 0.13/0.39  * 
% 0.13/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T18:54:55
% 0.13/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-30T18:54:55
% 0.13/0.41  WARNING:
% 0.13/0.41     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.41  WARNING:
% 0.13/0.41     |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.13/0.49  
% 0.13/0.49  
% 0.13/0.49  #||
% 0.13/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.49  % SZS output start Refutation
% See solution above
% 0.13/0.49  ||#
% 0.13/0.49  
% 0.13/0.49  ; Summary of computation:
% 0.13/0.49  ;       672 formulas have been input or derived (from 62 formulas).
% 0.13/0.49  ;       268 (40%) were retained.  Of these,
% 0.13/0.49  ;            3 ( 1%) were simplified or subsumed later,
% 0.13/0.49  ;          265 (99%) are still being kept.
% 0.13/0.49  ; 
% 0.13/0.49  ; Run time in seconds excluding printing time:
% 0.13/0.49  ;     0.010  10%   Read assertion file          (1 call)
% 0.13/0.49  ;     0.004   4%   Assert                       (43 calls)
% 0.13/0.49  ;     0.020  20%   Process new row              (643 calls)
% 0.13/0.49  ;     0.024  24%   Resolution                   (122 calls)
% 0.13/0.49  ;     0.001   1%   Paramodulation               (61 calls)
% 0.13/0.49  ;     0.002   2%   Condensing                   (105 calls)
% 0.13/0.49  ;     0.002   2%   Forward subsumption          (105 calls)
% 0.13/0.49  ;     0.002   2%   Backward subsumption         (105 calls)
% 0.13/0.49  ;     0.001   1%   Clause clause subsumption    (34 calls)
% 0.13/0.49  ;     0.011  11%   Forward simplification       (641 calls)
% 0.13/0.49  ;     0.001   1%   Backward simplification      (268 calls)
% 0.13/0.49  ;     0.001   1%   Ordering                     (166 calls)
% 0.13/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.13/0.49  ;     0.001   1%   Purity testing               (1 call)
% 0.13/0.49  ;     0.022  22%   Other
% 0.13/0.49  ;     0.102        Total
% 0.13/0.49  ;     0.104        Real time
% 0.13/0.49  ; 
% 0.13/0.49  ; Term-hash-array has 538 terms in all.
% 0.13/0.49  ; Feature-vector-row-index has 102 entries (103 at peak, 105 added, 3 deleted).
% 0.13/0.49  ; Feature-vector-row-index has 339 nodes (349 at peak, 366 added, 27 deleted).
% 0.13/0.49  ;  Retrieved 26 possibly forward subsuming rows in 105 calls.
% 0.13/0.49  ;  Retrieved 16 possibly backward subsumed rows in 105 calls.
% 0.13/0.49  ; Path-index has 544 entries (544 at peak, 550 added, 6 deleted).
% 0.13/0.49  ; Path-index has 807 nodes (807 at peak, 812 added, 5 deleted).
% 0.13/0.49  ; Trie-index has 544 entries (544 at peak, 550 added, 6 deleted).
% 0.13/0.49  ; Trie-index has 1,352 nodes (1,352 at peak, 1,364 added, 12 deleted).
% 0.13/0.49  ; Retrieved 820 generalization terms in 2,043 calls.
% 0.13/0.49  ; Retrieved 162 instance terms in 162 calls.
% 0.13/0.49  ; Retrieved 29,578 unifiable terms in 2,064 calls.
% 0.13/0.49  ; 
% 0.13/0.49  ; The agenda of rows to process has 24 entries:
% 0.13/0.49  ;    24 with value 9
% 0.13/0.49  ; The agenda of input rows to give has 33 entries:
% 0.13/0.49  ;     1 with value 6               3 with value 27               5 with value 32
% 0.13/0.49  ;     4 with value 24              2 with value 28               1 with value 40
% 0.13/0.49  ;     7 with value 25              1 with value 29               1 with value 41
% 0.13/0.49  ;     2 with value 26              5 with value 31               1 with value 42
% 0.13/0.49  ; The agenda of rows to give has 170 entries:
% 0.13/0.49  ;     1 with value (4 4)          20 with value (4 8)           32 with value (4 11)
% 0.13/0.49  ;     2 with value (4 5)           4 with value (4 9)           26 with value (4 13)
% 0.13/0.49  ;    12 with value (4 6)          12 with value (4 10)          35 with value (4 15)
% 0.13/0.49  ;    26 with value (4 7)
% 0.13/0.49  Evaluation took:
% 0.13/0.49    0.105 seconds of real time
% 0.13/0.49    0.092697 seconds of user run time
% 0.13/0.49    0.012364 seconds of system run time
% 0.13/0.49    0 calls to %EVAL
% 0.13/0.49    0 page faults and
% 0.13/0.49    6,706,424 bytes consed.
% 0.13/0.49  :PROOF-FOUND
% 0.13/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T18:54:55
% 0.13/0.49  :PROOF-FOUND
% 0.13/0.49  * 
%------------------------------------------------------------------------------