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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU115+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 14:19:11 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   10 (   4 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(11,axiom,
    ( ~ empty(X)
    | finite(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_finset_1) ).

cnf(47,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

cnf(51,negated_conjecture,
    finite_subsets(empty_set) != singleton(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_finsub_1) ).

cnf(52,axiom,
    ( ~ finite(X)
    | finite_subsets(X) = powerset(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_finsub_1) ).

cnf(53,axiom,
    powerset(empty_set) = singleton(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).

cnf(54,plain,
    finite_subsets(empty_set) != powerset(empty_set),
    inference('REWRITE',[status(thm)],[51,53,theory(equality)]) ).

cnf(56,plain,
    finite(empty_set),
    inference('HYPERRESOLVE',[status(thm)],[11,47]) ).

cnf(122,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[52,54]),56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU115+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n020.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 Jun 19 09:00:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T09:00:03
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-19T09:00:03
% 0.20/0.49  WARNING:
% 0.20/0.49     |cap_closed| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |epsilon_transitive| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |epsilon_connected| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       185 formulas have been input or derived (from 51 formulas).
% 0.20/0.52  ;       122 (66%) were retained.  Of these,
% 0.20/0.52  ;           12 (10%) were simplified or subsumed later,
% 0.20/0.52  ;          110 (90%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.006  13%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.002   4%   Assert                       (35 calls)
% 0.20/0.52  ;     0.006  13%   Process new row              (171 calls)
% 0.20/0.52  ;     0.002   4%   Resolution                   (100 calls)
% 0.20/0.52  ;     0.001   2%   Paramodulation               (50 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (5 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (28 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (28 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (28 calls)
% 0.20/0.52  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.20/0.52  ;     0.001   2%   Forward simplification       (160 calls)
% 0.20/0.52  ;     0.001   2%   Backward simplification      (122 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (21 calls)
% 0.20/0.52  ;     0.002   4%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.52  ;     0.023  51%   Other
% 0.20/0.52  ;     0.045        Total
% 0.20/0.52  ;     0.046        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 167 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 28 entries (28 at peak, 28 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 58 nodes (58 at peak, 58 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 1 possibly forward subsuming row in 28 calls.
% 0.20/0.52  ;  Retrieved 1 possibly backward subsumed row in 28 calls.
% 0.20/0.52  ; Path-index has 158 entries (158 at peak, 173 added, 15 deleted).
% 0.20/0.52  ; Path-index has 265 nodes (265 at peak, 278 added, 13 deleted).
% 0.20/0.52  ; Trie-index has 158 entries (158 at peak, 173 added, 15 deleted).
% 0.20/0.52  ; Trie-index has 308 nodes (308 at peak, 335 added, 27 deleted).
% 0.20/0.52  ; Retrieved 60 generalization terms in 159 calls.
% 0.20/0.52  ; Retrieved 102 instance terms in 93 calls.
% 0.20/0.52  ; Retrieved 725 unifiable terms in 284 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 4 entries:
% 0.20/0.52  ;     1 with value 8               1 with value 11               2 with value 14
% 0.20/0.52  ; The agenda of input rows to give has 4 entries:
% 0.20/0.52  ;     1 with value 11              1 with value 13               1 with value 14
% 0.20/0.52  ;     1 with value 12
% 0.20/0.52  ; The agenda of rows to give has 61 entries:
% 0.20/0.52  ;     1 with value (4 4)           3 with value (4 7)            3 with value (4 10)
% 0.20/0.52  ;     3 with value (4 5)          25 with value (4 8)            9 with value (4 11)
% 0.20/0.52  ;    16 with value (4 6)           1 with value (4 9)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.047 seconds of real time
% 0.20/0.52    0.039326 seconds of user run time
% 0.20/0.52    0.007689 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,489,232 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T09:00:03
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------