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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : RNG126+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 20:40:51 EDT 2022

% Result   : Theorem 4.55s 4.75s
% Output   : Refutation 4.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (  11 unt;   0 nHn;  14 RR)
%            Number of literals    :   20 (   4 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    ( ~ aElement0(X)
    | ~ aElement0(Y)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).

cnf(24,axiom,
    ( ~ aSet0(X)
    | ~ aElementOf0(Y,X)
    | aElement0(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

cnf(129,hypothesis,
    aSet0(xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(131,hypothesis,
    ( ~ aElementOf0(X,xI)
    | ~ aElement0(Y)
    | aElementOf0(sdtasdt0(Y,X),xI) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(143,hypothesis,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).

cnf(169,hypothesis,
    aElementOf0(xu,xI),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2273) ).

cnf(181,hypothesis,
    aElement0('SKOLEMAAAU41'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2744) ).

cnf(182,hypothesis,
    sdtasdt0(xu,'SKOLEMAAAU41') = xc,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2744) ).

cnf(188,negated_conjecture,
    ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

cnf(189,plain,
    ~ aElementOf0(xc,xI),
    inference('REWRITE',[status(thm)],[188,143,theory(equality)]) ).

cnf(298,plain,
    aElement0(xu),
    inference('HYPERRESOLVE',[status(thm)],[24,129,169]) ).

cnf(724,plain,
    aElementOf0(sdtasdt0('SKOLEMAAAU41',xu),xI),
    inference('HYPERRESOLVE',[status(thm)],[131,169,181]) ).

cnf(16356,plain,
    xc = sdtasdt0('SKOLEMAAAU41',xu),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,298,181]),182,theory(equality)]) ).

cnf(16357,plain,
    $false,
    inference('REWRITE',[status(thm)],[724,189,16356,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : RNG126+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n020.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 09:02:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T09:02:54
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-30T09:02:54
% 0.18/0.49  WARNING:
% 0.18/0.49     |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 4.55/4.75  
% 4.55/4.75  
% 4.55/4.75  #||
% 4.55/4.75  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.55/4.75  % SZS output start Refutation
% See solution above
% 4.55/4.75  ||#
% 4.55/4.75  
% 4.55/4.75  ; Summary of computation:
% 4.55/4.75  ;     40838 formulas have been input or derived (from 190 formulas).
% 4.55/4.75  ;     16357 (40%) were retained.  Of these,
% 4.55/4.75  ;         1254 ( 8%) were simplified or subsumed later,
% 4.55/4.75  ;        15103 (92%) are still being kept.
% 4.55/4.75  ; 
% 4.55/4.75  ; Run time in seconds excluding printing time:
% 4.55/4.75  ;     0.016   0%   Read assertion file          (1 call)
% 4.55/4.75  ;     0.008   0%   Assert                       (48 calls)
% 4.55/4.75  ;     1.055  25%   Process new row              (34,248 calls)
% 4.55/4.75  ;     2.068  48%   Resolution                   (378 calls)
% 4.55/4.75  ;     0.017   0%   Paramodulation               (189 calls)
% 4.55/4.75  ;     0.003   0%   Condensing                   (1,728 calls)
% 4.55/4.75  ;     0.063   1%   Forward subsumption          (1,728 calls)
% 4.55/4.75  ;     0.026   1%   Backward subsumption         (1,662 calls)
% 4.55/4.75  ;     0.000   0%   Clause clause subsumption    (805 calls)
% 4.55/4.75  ;     0.658  15%   Forward simplification       (34,247 calls)
% 4.55/4.75  ;     0.201   5%   Backward simplification      (16,355 calls)
% 4.55/4.75  ;     0.053   1%   Ordering                     (16,144 calls)
% 4.55/4.75  ;     0.001   0%   Sortal reasoning             (32 calls)
% 4.55/4.75  ;     0.000   0%   Purity testing               (1 call)
% 4.55/4.75  ;     0.128   3%   Other
% 4.55/4.75  ;     4.297        Total
% 4.55/4.75  ;     4.298        Real time
% 4.55/4.75  ; 
% 4.55/4.75  ; Term-hash-array has 40,590 terms in all.
% 4.55/4.75  ; Feature-vector-row-index has 1,628 entries (1,628 at peak, 1,662 added, 34 deleted).
% 4.55/4.75  ; Feature-vector-row-index has 3,498 nodes (3,498 at peak, 3,594 added, 96 deleted).
% 4.55/4.75  ;  Retrieved 3,145 possibly forward subsuming rows in 1,728 calls.
% 4.55/4.75  ;  Retrieved 2,973 possibly backward subsumed rows in 1,662 calls.
% 4.55/4.75  ; Path-index has 38,506 entries (38,509 at peak, 41,704 added, 3,198 deleted).
% 4.55/4.75  ; Path-index has 2,765 nodes (2,770 at peak, 2,818 added, 53 deleted).
% 4.55/4.75  ; Trie-index has 38,506 entries (38,509 at peak, 41,704 added, 3,198 deleted).
% 4.55/4.75  ; Trie-index has 112,324 nodes (112,329 at peak, 122,884 added, 10,560 deleted).
% 4.55/4.75  ; Retrieved 39,715 generalization terms in 194,815 calls.
% 4.55/4.75  ; Retrieved 14,692 instance terms in 14,692 calls.
% 4.55/4.75  ; Retrieved 6,443,132 unifiable terms in 83,757 calls.
% 4.55/4.75  ; 
% 4.55/4.75  ; The agenda of backward simplifiable rows to process has 2 entries:
% 4.55/4.75  ;     2 with value 0
% 4.55/4.75  ; The agenda of rows to process has 6529 entries:
% 4.55/4.75  ;   132 with value 11             19 with value 17              32 with value 23
% 4.55/4.75  ;    72 with value 12           3136 with value 18               1 with value 27
% 4.55/4.75  ;  3104 with value 16             33 with value 21
% 4.55/4.75  ; The agenda of rows to give has 14913 entries:
% 4.55/4.75  ;    14 with value (4 5)         295 with value (4 14)          11 with value (4 23)
% 4.55/4.75  ;    68 with value (4 6)        4251 with value (4 15)          11 with value (4 24)
% 4.55/4.75  ;   396 with value (4 7)        1128 with value (4 16)          14 with value (4 26)
% 4.55/4.75  ;   328 with value (4 8)        2895 with value (4 17)           1 with value (4 27)
% 4.55/4.75  ;   169 with value (4 9)        1445 with value (4 18)           3 with value (4 28)
% 4.55/4.75  ;   264 with value (4 10)         87 with value (4 19)           2 with value (4 30)
% 4.55/4.75  ;  1077 with value (4 11)        618 with value (4 20)           2 with value (4 31)
% 4.55/4.75  ;   143 with value (4 12)         81 with value (4 21)           1 with value (4 33)
% 4.55/4.75  ;  1453 with value (4 13)        154 with value (4 22)           2 with value (4 41)
% 4.55/4.75  Evaluation took:
% 4.55/4.75    4.299 seconds of real time
% 4.55/4.75    4.067561 seconds of user run time
% 4.55/4.75    0.23193 seconds of system run time
% 4.55/4.75    [Run times include 0.569 seconds GC run time.]
% 4.55/4.75    0 calls to %EVAL
% 4.55/4.75    0 page faults and
% 4.55/4.75    320,741,800 bytes consed.
% 4.55/4.75  :PROOF-FOUND
% 4.55/4.75  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T09:02:58
% 4.55/4.75  :PROOF-FOUND
% 4.55/4.75  * 
%------------------------------------------------------------------------------