TSTP Solution File: SET063+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET063+4 : TPTP v8.1.0. Released v2.2.0.
% 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 05:06:42 EDT 2022

% Result   : Theorem 0.17s 0.47s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;   7 RR)
%            Number of literals    :   14 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( subset(X,Y)
    | member('SKOLEMAAAR1'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(6,axiom,
    ( equal_set(X,Y)
    | ~ subset(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

cnf(10,axiom,
    ( ~ member(X,intersection(Y,Z))
    | member(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',intersection) ).

cnf(15,axiom,
    ~ member(X,empty_set),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',empty_set) ).

cnf(30,negated_conjecture,
    ~ equal_set(intersection('SKOLEMAAAR4',empty_set),empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI17) ).

cnf(32,plain,
    subset(empty_set,X),
    inference('UR-RESOLVE',[status(thm)],[2,15]) ).

cnf(35,plain,
    ~ member(X,intersection(Y,empty_set)),
    inference('UR-RESOLVE',[status(thm)],[10,15]) ).

cnf(61,plain,
    ~ subset(intersection('SKOLEMAAAR4',empty_set),empty_set),
    inference('UR-RESOLVE',[status(thm)],[6,32,30]) ).

cnf(125,plain,
    subset(intersection(X,empty_set),Y),
    inference('UR-RESOLVE',[status(thm)],[2,35]) ).

cnf(126,plain,
    $false,
    inference('REWRITE',[status(thm)],[61,125]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SET063+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.11  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jul 10 10:05:13 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.41  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42  * 
% 0.17/0.42  * 
% 0.17/0.43  #<PACKAGE "SNARK-USER">
% 0.17/0.43  * 
% 0.17/0.43  SNARK-TPTP-OPTIONS
% 0.17/0.43  * 
% 0.17/0.43  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.43   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.43   (USE-FACTORING :POS)
% 0.17/0.43   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.43   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.43   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.43   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.43   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.43   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.43   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.43   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.43   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.43   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.43  * 
% 0.17/0.43  "."
% 0.17/0.43  * 
% 0.17/0.43  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T10:05:13
% 0.17/0.43  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-10T10:05:13
% 0.17/0.47  
% 0.17/0.47  
% 0.17/0.47  #||
% 0.17/0.47  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47  % SZS output start Refutation
% See solution above
% 0.17/0.47  ||#
% 0.17/0.47  
% 0.17/0.47  ; Summary of computation:
% 0.17/0.47  ;       209 formulas have been input or derived (from 38 formulas).
% 0.17/0.47  ;       126 (60%) were retained.  Of these,
% 0.17/0.47  ;            1 ( 1%) were simplified or subsumed later,
% 0.17/0.47  ;          125 (99%) are still being kept.
% 0.17/0.47  ; 
% 0.17/0.47  ; Run time in seconds excluding printing time:
% 0.17/0.47  ;     0.003   7%   Read assertion file          (1 call)
% 0.17/0.47  ;     0.001   2%   Assert                       (12 calls)
% 0.17/0.47  ;     0.006  14%   Process new row              (173 calls)
% 0.17/0.47  ;     0.006  14%   Resolution                   (74 calls)
% 0.17/0.47  ;     0.000   0%   Paramodulation               (37 calls)
% 0.17/0.47  ;     0.000   0%   Factoring                    (2 calls)
% 0.17/0.47  ;     0.000   0%   Condensing                   (58 calls)
% 0.17/0.47  ;     0.002   5%   Forward subsumption          (58 calls)
% 0.17/0.47  ;     0.001   2%   Backward subsumption         (58 calls)
% 0.17/0.47  ;     0.000   0%   Clause clause subsumption    (44 calls)
% 0.17/0.47  ;     0.002   5%   Forward simplification       (173 calls)
% 0.17/0.47  ;     0.002   5%   Backward simplification      (126 calls)
% 0.17/0.47  ;     0.000   0%   Ordering                     (73 calls)
% 0.17/0.47  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.17/0.47  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.47  ;     0.021  48%   Other
% 0.17/0.47  ;     0.044        Total
% 0.17/0.47  ;     0.045        Real time
% 0.17/0.47  ; 
% 0.17/0.47  ; Term-hash-array has 245 terms in all.
% 0.17/0.47  ; Feature-vector-row-index has 58 entries (58 at peak, 58 added, 0 deleted).
% 0.17/0.47  ; Feature-vector-row-index has 158 nodes (158 at peak, 158 added, 0 deleted).
% 0.17/0.47  ;  Retrieved 34 possibly forward subsuming rows in 58 calls.
% 0.17/0.47  ;  Retrieved 10 possibly backward subsumed rows in 58 calls.
% 0.17/0.47  ; Path-index has 246 entries (247 at peak, 247 added, 1 deleted).
% 0.17/0.47  ; Path-index has 571 nodes (572 at peak, 572 added, 1 deleted).
% 0.17/0.47  ; Trie-index has 246 entries (247 at peak, 247 added, 1 deleted).
% 0.17/0.47  ; Trie-index has 584 nodes (587 at peak, 587 added, 3 deleted).
% 0.17/0.47  ; Retrieved 48 generalization terms in 205 calls.
% 0.17/0.47  ; Retrieved 72 instance terms in 67 calls.
% 0.17/0.47  ; Retrieved 4,295 unifiable terms in 279 calls.
% 0.17/0.47  ; 
% 0.17/0.47  ; The agenda of rows to process has 21 entries:
% 0.17/0.47  ;     1 with value 9               3 with value 11               5 with value 13
% 0.17/0.47  ;     3 with value 10              5 with value 12               4 with value 14
% 0.17/0.47  ; The agenda of rows to give has 87 entries:
% 0.17/0.47  ;     9 with value (4 8)           2 with value (4 15)           2 with value (4 22)
% 0.17/0.47  ;     4 with value (4 9)           4 with value (4 16)           3 with value (4 23)
% 0.17/0.47  ;     7 with value (4 10)          3 with value (4 18)           1 with value (4 24)
% 0.17/0.47  ;    15 with value (4 11)          3 with value (4 19)           1 with value (4 26)
% 0.17/0.47  ;    15 with value (4 12)          3 with value (4 20)           1 with value (4 27)
% 0.17/0.47  ;     8 with value (4 13)          2 with value (4 21)           2 with value (4 30)
% 0.17/0.48  ;     2 with value (4 14)
% 0.17/0.48  Evaluation took:
% 0.17/0.48    0.046 seconds of real time
% 0.17/0.48    0.040627 seconds of user run time
% 0.17/0.48    0.005052 seconds of system run time
% 0.17/0.48    0 calls to %EVAL
% 0.17/0.48    0 page faults and
% 0.17/0.48    2,968,304 bytes consed.
% 0.17/0.48  :PROOF-FOUND
% 0.17/0.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T10:05:13
% 0.17/0.48  :PROOF-FOUND
% 0.17/0.48  * 
%------------------------------------------------------------------------------