TSTP Solution File: SET184-6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET184-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:08:10 EDT 2022

% Result   : Unsatisfiable 0.45s 0.66s
% Output   : Refutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   5 unt;   1 nHn;   8 RR)
%            Number of literals    :   13 (   1 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X,Y),X)
    | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).

cnf(not_subclass_members2,axiom,
    ( ~ member(not_subclass_element(X,Y),Y)
    | subclass(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(intersection2,axiom,
    ( ~ member(X,intersection(Y,Z))
    | member(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection2) ).

cnf(prove_subclass_property2_1,negated_conjecture,
    intersection(x,y) = x,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property2_1) ).

cnf(prove_subclass_property2_2,negated_conjecture,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property2_2) ).

cnf(144,plain,
    member(not_subclass_element(x,y),x),
    inference('HYPERRESOLVE',[status(thm)],[prove_subclass_property2_2,not_subclass_members1]) ).

cnf(145,plain,
    ~ member(not_subclass_element(x,y),y),
    inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_subclass_property2_2]) ).

cnf(154,plain,
    ( ~ member(X,x)
    | member(X,y) ),
    inference('PARAMODULATE',[status(thm)],[intersection2,prove_subclass_property2_1,theory(equality)]) ).

cnf(663,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[154,144,145]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET184-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14  % 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 : Sun Jul 10 03:56:55 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 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  * 
% 0.20/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T03:56:56
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-10T03:56:56
% 0.45/0.66  
% 0.45/0.66  
% 0.45/0.66  #||
% 0.45/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.66  % SZS output start Refutation
% See solution above
% 0.45/0.66  ||#
% 0.45/0.66  
% 0.45/0.66  ; Summary of computation:
% 0.45/0.66  ;      1258 formulas have been input or derived (from 141 formulas).
% 0.45/0.66  ;       663 (53%) were retained.  Of these,
% 0.45/0.66  ;           16 ( 2%) were simplified or subsumed later,
% 0.45/0.66  ;          647 (98%) are still being kept.
% 0.45/0.66  ; 
% 0.45/0.66  ; Run time in seconds:
% 0.45/0.66  ;     0.021  12%   Read assertion file          (1 call)
% 0.45/0.66  ;     0.004   2%   Assert                       (114 calls)
% 0.45/0.66  ;     0.049  29%   Process new row              (1,148 calls)
% 0.45/0.66  ;     0.024  14%   Resolution                   (280 calls)
% 0.45/0.66  ;     0.003   2%   Paramodulation               (140 calls)
% 0.45/0.66  ;     0.000   0%   Factoring                    (3 calls)
% 0.45/0.66  ;     0.002   1%   Condensing                   (250 calls)
% 0.45/0.66  ;     0.008   5%   Forward subsumption          (250 calls)
% 0.45/0.66  ;     0.004   2%   Backward subsumption         (233 calls)
% 0.45/0.66  ;     0.000   0%   Clause clause subsumption    (137 calls)
% 0.45/0.66  ;     0.012   7%   Forward simplification       (1,148 calls)
% 0.45/0.66  ;     0.005   3%   Backward simplification      (648 calls)
% 0.45/0.66  ;     0.004   2%   Ordering                     (475 calls)
% 0.45/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.45/0.66  ;     0.001   1%   Purity testing               (1 call)
% 0.45/0.66  ;     0.031  18%   Other
% 0.45/0.66  ;     0.168        Total
% 0.45/0.66  ;     0.169        Real time
% 0.45/0.66  ; 
% 0.45/0.66  ; Term-hash-array has 1,493 terms in all.
% 0.45/0.66  ; Feature-vector-row-index has 233 entries (233 at peak, 233 added, 0 deleted).
% 0.45/0.66  ; Feature-vector-row-index has 1,543 nodes (1,543 at peak, 1,543 added, 0 deleted).
% 0.45/0.66  ;  Retrieved 135 possibly forward subsuming rows in 250 calls.
% 0.45/0.66  ;  Retrieved 41 possibly backward subsumed rows in 233 calls.
% 0.45/0.66  ; Path-index has 1,506 entries (1,506 at peak, 1,507 added, 1 deleted).
% 0.45/0.66  ; Path-index has 3,724 nodes (3,724 at peak, 3,725 added, 1 deleted).
% 0.45/0.66  ; Trie-index has 1,506 entries (1,506 at peak, 1,507 added, 1 deleted).
% 0.45/0.66  ; Trie-index has 4,902 nodes (4,902 at peak, 4,903 added, 1 deleted).
% 0.45/0.66  ; Retrieved 849 generalization terms in 2,754 calls.
% 0.45/0.66  ; Retrieved 439 instance terms in 414 calls.
% 0.45/0.66  ; Retrieved 25,791 unifiable terms in 1,747 calls.
% 0.45/0.66  ; 
% 0.45/0.66  ; The agenda of rows to process has 4 entries:
% 0.45/0.66  ;     3 with value 9               1 with value 12
% 0.45/0.66  ; The agenda of rows to give has 506 entries:
% 0.45/0.66  ;    13 with value (4 9)           4 with value (4 22)           3 with value (4 34)
% 0.45/0.66  ;    29 with value (4 10)          7 with value (4 23)           2 with value (4 37)
% 0.45/0.66  ;    28 with value (4 11)          5 with value (4 24)           1 with value (4 43)
% 0.45/0.66  ;    39 with value (4 12)          2 with value (4 25)           1 with value (4 44)
% 0.45/0.66  ;    33 with value (4 13)          5 with value (4 26)           1 with value (4 45)
% 0.45/0.66  ;    84 with value (4 14)          1 with value (4 27)           4 with value (4 46)
% 0.45/0.66  ;    79 with value (4 15)          2 with value (4 28)           2 with value (4 49)
% 0.45/0.66  ;    77 with value (4 16)          3 with value (4 29)           1 with value (4 51)
% 0.45/0.66  ;    10 with value (4 17)          3 with value (4 30)           1 with value (4 53)
% 0.45/0.66  ;    21 with value (4 18)          1 with value (4 31)           1 with value (4 55)
% 0.45/0.66  ;    27 with value (4 19)          1 with value (4 32)           1 with value (4 59)
% 0.45/0.66  ;     4 with value (4 20)          2 with value (4 33)           1 with value (4 63)
% 0.45/0.66  ;     7 with value (4 21)
% 0.45/0.66  Evaluation took:
% 0.45/0.66    0.169 seconds of real time
% 0.45/0.66    0.154145 seconds of user run time
% 0.45/0.66    0.015023 seconds of system run time
% 0.45/0.66    0 calls to %EVAL
% 0.45/0.66    0 page faults and
% 0.45/0.66    10,735,656 bytes consed.
% 0.45/0.66  :PROOF-FOUND
% 0.45/0.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T03:56:56
% 0.45/0.66  :PROOF-FOUND
% 0.45/0.66  * 
%------------------------------------------------------------------------------