TSTP Solution File: SET605+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET605+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 05:10:47 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Refutation 0.21s
% 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    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    subset(X,union(X,Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_of_union) ).

cnf(3,axiom,
    ( difference(X,Y) = empty_set
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_empty_set) ).

cnf(21,negated_conjecture,
    difference('SKOLEMAAAV4',union('SKOLEMAAAV4','SKOLEMAAAV5')) != empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th76) ).

cnf(23,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[3,21,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SET605+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 02:25:12 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:25:12
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-11T02:25:12
% 0.21/0.51  
% 0.21/0.51  ; Recognized commutativity assertion (= (|union| ?X ?Y) (|union| ?Y ?X)).
% 0.21/0.53  ; Declaring union to be commutative.
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;        35 formulas have been input or derived (from 10 formulas).
% 0.21/0.53  ;        23 (66%) were retained.  Of these,
% 0.21/0.53  ;           23 (100%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.002   7%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.001   3%   Assert                       (12 calls)
% 0.21/0.53  ;     0.001   3%   Process new row              (28 calls)
% 0.21/0.53  ;     0.001   3%   Resolution                   (18 calls)
% 0.21/0.53  ;     0.000   0%   Paramodulation               (9 calls)
% 0.21/0.53  ;     0.000   0%   Factoring                    (1 call)
% 0.21/0.53  ;     0.002   7%   Condensing                   (20 calls)
% 0.21/0.53  ;     0.000   0%   Forward subsumption          (20 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (17 calls)
% 0.21/0.53  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.21/0.53  ;     0.000   0%   Forward simplification       (28 calls)
% 0.21/0.53  ;     0.000   0%   Backward simplification      (23 calls)
% 0.21/0.53  ;     0.000   0%   Ordering                     (8 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.023  77%   Other
% 0.21/0.53  ;     0.030        Total
% 0.21/0.53  ;     0.032        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 31 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.21/0.53  ;  Retrieved 3 possibly forward subsuming rows in 20 calls.
% 0.21/0.53  ;  Retrieved 1 possibly backward subsumed row in 17 calls.
% 0.21/0.53  ; Path-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.21/0.53  ; Path-index has 76 nodes (76 at peak, 76 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 66 nodes (66 at peak, 66 added, 0 deleted).
% 0.21/0.53  ; Retrieved 1 generalization term in 32 calls.
% 0.21/0.53  ; Retrieved 8 instance terms in 5 calls.
% 0.21/0.53  ; Retrieved 92 unifiable terms in 40 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to process has 3 entries:
% 0.21/0.53  ;     2 with value 8               1 with value 11
% 0.21/0.53  ; The agenda of input rows to give has 12 entries:
% 0.21/0.53  ;     5 with value 11              2 with value 15               2 with value 18
% 0.21/0.53  ;     3 with value 12
% 0.21/0.53  ; The agenda of rows to give has 1 entry:
% 0.21/0.53  ;     1 with value (4 4)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.032 seconds of real time
% 0.21/0.53    0.024004 seconds of user run time
% 0.21/0.53    0.008061 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    1,608,608 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:25:12
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------