TSTP Solution File: SET592+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET592+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 05:10:38 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   3 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subset(X,empty_set)
    | X = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset_of_empty_set_is_empty_set) ).

cnf(2,axiom,
    ( ~ subset(X,Y)
    | ~ subset(X,Z)
    | subset(X,intersection(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_subsets) ).

cnf(17,negated_conjecture,
    subset('SKOLEMAAAW4','SKOLEMAAAW5'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th51) ).

cnf(18,negated_conjecture,
    subset('SKOLEMAAAW4','SKOLEMAAAW6'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th51) ).

cnf(19,negated_conjecture,
    intersection('SKOLEMAAAW5','SKOLEMAAAW6') = empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th51) ).

cnf(20,negated_conjecture,
    'SKOLEMAAAW4' != empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th51) ).

cnf(21,plain,
    ~ subset('SKOLEMAAAW4',empty_set),
    inference('UR-RESOLVE',[status(thm)],[1,20]) ).

cnf(33,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,18,17]),21,19,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SET592+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul 10 09:53:35 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T09:53:35
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-10T09:53:35
% 0.20/0.51  
% 0.20/0.51  ; Recognized commutativity assertion (= (|intersection| ?X ?Y) (|intersection| ?Y ?X)).
% 0.20/0.53  ; Declaring intersection to be commutative.
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;        86 formulas have been input or derived (from 18 formulas).
% 0.20/0.53  ;        33 (38%) were retained.  Of these,
% 0.20/0.53  ;           33 (100%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.003   8%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.001   3%   Assert                       (11 calls)
% 0.20/0.53  ;     0.003   8%   Process new row              (59 calls)
% 0.20/0.53  ;     0.003   8%   Resolution                   (34 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (17 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (2 calls)
% 0.20/0.53  ;     0.001   3%   Condensing                   (29 calls)
% 0.20/0.53  ;     0.000   0%   Forward subsumption          (29 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (22 calls)
% 0.20/0.53  ;     0.001   3%   Clause clause subsumption    (11 calls)
% 0.20/0.53  ;     0.001   3%   Forward simplification       (59 calls)
% 0.20/0.53  ;     0.000   0%   Backward simplification      (33 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (29 calls)
% 0.20/0.53  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.022  61%   Other
% 0.20/0.53  ;     0.036        Total
% 0.20/0.53  ;     0.037        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 54 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 22 entries (22 at peak, 22 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 65 nodes (65 at peak, 65 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 12 possibly forward subsuming rows in 29 calls.
% 0.20/0.53  ;  Retrieved 2 possibly backward subsumed rows in 22 calls.
% 0.20/0.53  ; Path-index has 58 entries (58 at peak, 58 added, 0 deleted).
% 0.20/0.53  ; Path-index has 86 nodes (86 at peak, 86 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 58 entries (58 at peak, 58 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 96 nodes (96 at peak, 96 added, 0 deleted).
% 0.20/0.53  ; Retrieved 33 generalization terms in 87 calls.
% 0.20/0.53  ; Retrieved 15 instance terms in 10 calls.
% 0.20/0.53  ; Retrieved 553 unifiable terms in 123 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 24 entries:
% 0.20/0.53  ;    17 with value 8               6 with value 15               1 with value 22
% 0.20/0.53  ; The agenda of input rows to give has 3 entries:
% 0.20/0.53  ;     1 with value 15              2 with value 18
% 0.20/0.53  ; The agenda of rows to give has 12 entries:
% 0.20/0.53  ;     1 with value (4 4)           2 with value (4 10)           1 with value (4 17)
% 0.20/0.53  ;     2 with value (4 5)           3 with value (4 12)           1 with value (4 19)
% 0.20/0.53  ;     1 with value (4 8)           1 with value (4 16)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.038 seconds of real time
% 0.20/0.53    0.032837 seconds of user run time
% 0.20/0.53    0.004994 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    1,977,272 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T09:53:35
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
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