TSTP Solution File: SEU123+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 14:19:16 EDT 2022

% Result   : Theorem 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   4 RR)
%            Number of literals    :    7 (   2 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X = Y
    | ~ subset(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).

cnf(22,axiom,
    subset(empty_set,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).

cnf(26,negated_conjecture,
    subset('SKOLEMAAAU7',empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).

cnf(27,negated_conjecture,
    'SKOLEMAAAU7' != empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).

cnf(41,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[3,27,26,22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU123+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 16:58:31 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 2022-06-19T16:58:31
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-19T16:58:31
% 0.19/0.48  
% 0.19/0.48  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.48  ; Declaring set_intersection2 to be commutative.
% 0.19/0.51  ; Declaring disjoint to be commutative.
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        95 formulas have been input or derived (from 24 formulas).
% 0.19/0.51  ;        41 (43%) were retained.  Of these,
% 0.19/0.51  ;            2 ( 5%) were simplified or subsumed later,
% 0.19/0.51  ;           39 (95%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds:
% 0.19/0.51  ;     0.004  11%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.002   5%   Assert                       (23 calls)
% 0.19/0.51  ;     0.004  11%   Process new row              (64 calls)
% 0.19/0.51  ;     0.001   3%   Resolution                   (46 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (23 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (4 calls)
% 0.19/0.51  ;     0.001   3%   Condensing                   (28 calls)
% 0.19/0.51  ;     0.001   3%   Forward subsumption          (28 calls)
% 0.19/0.51  ;     0.000   0%   Backward subsumption         (26 calls)
% 0.19/0.51  ;     0.000   0%   Clause clause subsumption    (13 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (63 calls)
% 0.19/0.51  ;     0.000   0%   Backward simplification      (41 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (32 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.024  65%   Other
% 0.19/0.51  ;     0.037        Total
% 0.19/0.51  ;     0.037        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 55 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 55 nodes (55 at peak, 55 added, 0 deleted).
% 0.19/0.51  ;  Retrieved 10 possibly forward subsuming rows in 28 calls.
% 0.19/0.51  ;  Retrieved 5 possibly backward subsumed rows in 26 calls.
% 0.19/0.51  ; Path-index has 57 entries (57 at peak, 59 added, 2 deleted).
% 0.19/0.51  ; Path-index has 89 nodes (89 at peak, 90 added, 1 deleted).
% 0.19/0.51  ; Trie-index has 57 entries (57 at peak, 59 added, 2 deleted).
% 0.19/0.51  ; Trie-index has 88 nodes (89 at peak, 90 added, 2 deleted).
% 0.19/0.51  ; Retrieved 31 generalization terms in 50 calls.
% 0.19/0.51  ; Retrieved 19 instance terms in 14 calls.
% 0.19/0.51  ; Retrieved 551 unifiable terms in 130 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 19 entries:
% 0.19/0.51  ;    13 with value 5               5 with value 12               1 with value 19
% 0.19/0.51  ; The agenda of input rows to give has 9 entries:
% 0.19/0.51  ;     3 with value 12              1 with value 15               2 with value 23
% 0.19/0.51  ;     1 with value 13              1 with value 19               1 with value 31
% 0.19/0.51  ; The agenda of rows to give has 7 entries:
% 0.19/0.51  ;     1 with value (4 4)           1 with value (4 7)            2 with value (4 9)
% 0.19/0.51  ;     3 with value (4 5)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.038 seconds of real time
% 0.19/0.51    0.031168 seconds of user run time
% 0.19/0.51    0.00703 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    1,891,160 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T16:58:32
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------