TSTP Solution File: SET604+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 05:10:46 EDT 2022

% Result   : Theorem 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    4 (   3 unt;   0 nHn;   3 RR)
%            Number of literals    :    5 (   2 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   1 sgn)

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

cnf(3,axiom,
    ( difference(X,Y) = empty_set
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_empty_set) ).

cnf(16,negated_conjecture,
    difference(empty_set,'SKOLEMAAAV3') != empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_no_difference_with_empty_set) ).

cnf(18,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[3,16,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SET604+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n028.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 : Sun Jul 10 14:16:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/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  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T14:16:27
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T14:16:27
% 0.18/0.48  
% 0.18/0.48  
% 0.18/0.48  #||
% 0.18/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48  % SZS output start Refutation
% See solution above
% 0.18/0.48  ||#
% 0.18/0.48  
% 0.18/0.48  ; Summary of computation:
% 0.18/0.48  ;        27 formulas have been input or derived (from 10 formulas).
% 0.18/0.48  ;        18 (67%) were retained.  Of these,
% 0.18/0.48  ;           18 (100%) are still being kept.
% 0.18/0.48  ; 
% 0.18/0.48  ; Run time in seconds excluding printing time:
% 0.18/0.48  ;     0.002   7%   Read assertion file          (1 call)
% 0.18/0.48  ;     0.001   4%   Assert                       (9 calls)
% 0.18/0.48  ;     0.001   4%   Process new row              (20 calls)
% 0.18/0.48  ;     0.000   0%   Resolution                   (18 calls)
% 0.18/0.48  ;     0.000   0%   Paramodulation               (9 calls)
% 0.18/0.48  ;     0.000   0%   Factoring                    (1 call)
% 0.18/0.48  ;     0.001   4%   Condensing                   (13 calls)
% 0.18/0.48  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.18/0.48  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.18/0.48  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.18/0.48  ;     0.002   7%   Forward simplification       (20 calls)
% 0.18/0.48  ;     0.000   0%   Backward simplification      (18 calls)
% 0.18/0.48  ;     0.000   0%   Ordering                     (4 calls)
% 0.18/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.48  ;     0.020  74%   Other
% 0.18/0.48  ;     0.027        Total
% 0.18/0.48  ;     0.029        Real time
% 0.18/0.48  ; 
% 0.18/0.48  ; Term-hash-array has 24 terms in all.
% 0.18/0.48  ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.18/0.48  ; Feature-vector-row-index has 28 nodes (28 at peak, 28 added, 0 deleted).
% 0.18/0.48  ;  Retrieved 2 possibly forward subsuming rows in 13 calls.
% 0.18/0.48  ;  Retrieved 1 possibly backward subsumed row in 12 calls.
% 0.18/0.48  ; Path-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.18/0.48  ; Path-index has 54 nodes (54 at peak, 54 added, 0 deleted).
% 0.18/0.48  ; Trie-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.18/0.48  ; Trie-index has 45 nodes (45 at peak, 45 added, 0 deleted).
% 0.18/0.48  ; Retrieved 1 generalization term in 24 calls.
% 0.18/0.48  ; Retrieved 8 instance terms in 5 calls.
% 0.18/0.48  ; Retrieved 81 unifiable terms in 38 calls.
% 0.18/0.48  ; 
% 0.18/0.48  ; The agenda of rows to process has 5 entries:
% 0.18/0.48  ;     1 with value 5               4 with value 8
% 0.18/0.48  ; The agenda of input rows to give has 7 entries:
% 0.18/0.48  ;     4 with value 11              2 with value 12               1 with value 15
% 0.18/0.48  ; The agenda of rows to give has 1 entry:
% 0.18/0.48  ;     1 with value (4 4)
% 0.18/0.48  Evaluation took:
% 0.18/0.48    0.03 seconds of real time
% 0.18/0.48    0.024755 seconds of user run time
% 0.18/0.48    0.00471 seconds of system run time
% 0.18/0.48    0 calls to %EVAL
% 0.18/0.48    0 page faults and
% 0.18/0.48    1,482,176 bytes consed.
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T14:16:27
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  * 
%------------------------------------------------------------------------------