TSTP Solution File: SET091+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 : Tue Jul 19 05:07:11 EDT 2022

% Result   : Theorem 0.19s 0.56s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   4 unt;   2 nHn;   5 RR)
%            Number of literals    :   10 (   7 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(94,axiom,
    ( member(member_of(X),universal_class)
    | member_of(X) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_universal_self) ).

cnf(95,axiom,
    ( singleton(member_of(X)) = X
    | member_of(X) = X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_self) ).

cnf(96,negated_conjecture,
    ( ~ member(X,universal_class)
    | 'SKOLEMAAAV8' != singleton(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_when_not_a_singleton) ).

cnf(97,negated_conjecture,
    'SKOLEMAAAV8' = 'SKOLEMAAAV9',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_when_not_a_singleton) ).

cnf(98,negated_conjecture,
    member_of('SKOLEMAAAV8') != 'SKOLEMAAAV9',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_when_not_a_singleton) ).

cnf(99,plain,
    member_of('SKOLEMAAAV8') != 'SKOLEMAAAV8',
    inference('REWRITE',[status(thm)],[98,97,theory(equality)]) ).

cnf(271,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[96,95,94]),99]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 09:51:17 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:51:17
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-10T09:51:17
% 0.19/0.56  
% 0.19/0.56  
% 0.19/0.56  #||
% 0.19/0.56  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56  % SZS output start Refutation
% See solution above
% 0.19/0.56  ||#
% 0.19/0.56  
% 0.19/0.56  ; Summary of computation:
% 0.19/0.56  ;       370 formulas have been input or derived (from 69 formulas).
% 0.19/0.56  ;       271 (73%) were retained.  Of these,
% 0.19/0.56  ;           15 ( 6%) were simplified or subsumed later,
% 0.19/0.56  ;          256 (94%) are still being kept.
% 0.19/0.56  ; 
% 0.19/0.56  ; Run time in seconds excluding printing time:
% 0.19/0.56  ;     0.011  12%   Read assertion file          (1 call)
% 0.19/0.56  ;     0.002   2%   Assert                       (48 calls)
% 0.19/0.56  ;     0.022  23%   Process new row              (333 calls)
% 0.19/0.56  ;     0.007   7%   Resolution                   (136 calls)
% 0.19/0.56  ;     0.000   0%   Paramodulation               (68 calls)
% 0.19/0.56  ;     0.000   0%   Factoring                    (8 calls)
% 0.19/0.56  ;     0.006   6%   Condensing                   (223 calls)
% 0.19/0.56  ;     0.007   7%   Forward subsumption          (223 calls)
% 0.19/0.56  ;     0.005   5%   Backward subsumption         (202 calls)
% 0.19/0.56  ;     0.003   3%   Clause clause subsumption    (342 calls)
% 0.19/0.56  ;     0.004   4%   Forward simplification       (333 calls)
% 0.19/0.56  ;     0.002   2%   Backward simplification      (267 calls)
% 0.19/0.56  ;     0.002   2%   Ordering                     (250 calls)
% 0.19/0.56  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.19/0.56  ;     0.001   1%   Purity testing               (1 call)
% 0.19/0.56  ;     0.022  23%   Other
% 0.19/0.56  ;     0.095        Total
% 0.19/0.56  ;     0.096        Real time
% 0.19/0.56  ; 
% 0.19/0.56  ; Term-hash-array has 548 terms in all.
% 0.19/0.56  ; Feature-vector-row-index has 194 entries (194 at peak, 202 added, 8 deleted).
% 0.19/0.56  ; Feature-vector-row-index has 667 nodes (667 at peak, 681 added, 14 deleted).
% 0.19/0.57  ;  Retrieved 318 possibly forward subsuming rows in 223 calls.
% 0.19/0.57  ;  Retrieved 101 possibly backward subsumed rows in 202 calls.
% 0.19/0.57  ; Path-index has 537 entries (537 at peak, 561 added, 24 deleted).
% 0.19/0.57  ; Path-index has 1,261 nodes (1,261 at peak, 1,287 added, 26 deleted).
% 0.19/0.57  ; Trie-index has 537 entries (537 at peak, 561 added, 24 deleted).
% 0.19/0.57  ; Trie-index has 1,373 nodes (1,373 at peak, 1,437 added, 64 deleted).
% 0.19/0.57  ; Retrieved 124 generalization terms in 693 calls.
% 0.19/0.57  ; Retrieved 80 instance terms in 64 calls.
% 0.19/0.57  ; Retrieved 4,896 unifiable terms in 423 calls.
% 0.19/0.57  ; 
% 0.19/0.57  ; The agenda of rows to process has 7 entries:
% 0.19/0.57  ;     1 with value 9               2 with value 15               1 with value 18
% 0.19/0.57  ;     1 with value 11              1 with value 17               1 with value 19
% 0.19/0.57  ; The agenda of input rows to give has 27 entries:
% 0.19/0.57  ;    10 with value 15              1 with value 18               1 with value 22
% 0.19/0.57  ;     1 with value 16              1 with value 19               3 with value 25
% 0.19/0.57  ;     4 with value 17              4 with value 21               2 with value 35
% 0.19/0.57  ; The agenda of rows to give has 160 entries:
% 0.19/0.57  ;     1 with value (4 4)          13 with value (4 13)          16 with value (4 20)
% 0.19/0.57  ;     7 with value (4 5)          17 with value (4 14)           5 with value (4 21)
% 0.19/0.57  ;    11 with value (4 7)           9 with value (4 15)           8 with value (4 22)
% 0.19/0.57  ;     8 with value (4 8)           6 with value (4 16)           7 with value (4 23)
% 0.19/0.57  ;     3 with value (4 9)           3 with value (4 17)           2 with value (4 24)
% 0.19/0.57  ;     8 with value (4 10)          9 with value (4 18)           2 with value (4 25)
% 0.19/0.57  ;     6 with value (4 11)         11 with value (4 19)           2 with value (4 30)
% 0.19/0.57  ;     6 with value (4 12)
% 0.19/0.57  Evaluation took:
% 0.19/0.57    0.097 seconds of real time
% 0.19/0.57    0.090406 seconds of user run time
% 0.19/0.57    0.006116 seconds of system run time
% 0.19/0.57    0 calls to %EVAL
% 0.19/0.57    0 page faults and
% 0.19/0.57    5,065,336 bytes consed.
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T09:51:18
% 0.19/0.57  :PROOF-FOUND
% 0.19/0.57  * 
%------------------------------------------------------------------------------