TSTP Solution File: SET152-6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET152-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 05:07:53 EDT 2022

% Result   : Unsatisfiable 0.51s 0.71s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   6 RR)
%            Number of literals    :   12 (   2 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    7 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
    ( ~ subclass(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(class_elements_are_sets,axiom,
    subclass(X,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(complement1,axiom,
    ( ~ member(X,complement(Y))
    | ~ member(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(regularity1,axiom,
    ( X = null_class
    | member(regular(X),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(prove_complement_of_universal_class_1,negated_conjecture,
    complement(universal_class) != null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_complement_of_universal_class_1) ).

cnf(140,plain,
    member(regular(complement(universal_class)),complement(universal_class)),
    inference('UR-RESOLVE',[status(thm)],[regularity1,prove_complement_of_universal_class_1]) ).

cnf(888,plain,
    member(regular(complement(universal_class)),universal_class),
    inference('HYPERRESOLVE',[status(thm)],[subclass_members,140,class_elements_are_sets]) ).

cnf(889,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[complement1,140]),888]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET152-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n024.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 06:07:28 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48  * 
% 0.21/0.48  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:07:28
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-11T06:07:28
% 0.51/0.70  
% 0.51/0.70  
% 0.51/0.70  #||
% 0.51/0.71  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.71  % SZS output start Refutation
% See solution above
% 0.51/0.71  ||#
% 0.51/0.71  
% 0.51/0.71  ; Summary of computation:
% 0.51/0.71  ;      1778 formulas have been input or derived (from 153 formulas).
% 0.51/0.71  ;       889 (50%) were retained.  Of these,
% 0.51/0.71  ;           16 ( 2%) were simplified or subsumed later,
% 0.51/0.71  ;          873 (98%) are still being kept.
% 0.51/0.71  ; 
% 0.51/0.71  ; Run time in seconds excluding printing time:
% 0.51/0.71  ;     0.022  11%   Read assertion file          (1 call)
% 0.51/0.71  ;     0.004   2%   Assert                       (113 calls)
% 0.51/0.71  ;     0.065  31%   Process new row              (1,553 calls)
% 0.51/0.71  ;     0.034  16%   Resolution                   (304 calls)
% 0.51/0.71  ;     0.006   3%   Paramodulation               (152 calls)
% 0.51/0.71  ;     0.000   0%   Factoring                    (3 calls)
% 0.51/0.71  ;     0.001   0%   Condensing                   (276 calls)
% 0.51/0.71  ;     0.009   4%   Forward subsumption          (276 calls)
% 0.51/0.71  ;     0.005   2%   Backward subsumption         (259 calls)
% 0.51/0.71  ;     0.000   0%   Clause clause subsumption    (157 calls)
% 0.51/0.71  ;     0.022  11%   Forward simplification       (1,553 calls)
% 0.51/0.71  ;     0.007   3%   Backward simplification      (874 calls)
% 0.51/0.71  ;     0.001   0%   Ordering                     (547 calls)
% 0.51/0.71  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.51/0.71  ;     0.000   0%   Purity testing               (1 call)
% 0.51/0.71  ;     0.031  15%   Other
% 0.51/0.71  ;     0.207        Total
% 0.51/0.71  ;     0.223        Real time
% 0.51/0.71  ; 
% 0.51/0.71  ; Term-hash-array has 1,865 terms in all.
% 0.51/0.71  ; Feature-vector-row-index has 259 entries (259 at peak, 259 added, 0 deleted).
% 0.51/0.71  ; Feature-vector-row-index has 1,691 nodes (1,691 at peak, 1,691 added, 0 deleted).
% 0.51/0.71  ;  Retrieved 152 possibly forward subsuming rows in 276 calls.
% 0.51/0.71  ;  Retrieved 45 possibly backward subsumed rows in 259 calls.
% 0.51/0.71  ; Path-index has 1,876 entries (1,876 at peak, 1,877 added, 1 deleted).
% 0.51/0.71  ; Path-index has 4,082 nodes (4,082 at peak, 4,083 added, 1 deleted).
% 0.51/0.71  ; Trie-index has 1,876 entries (1,876 at peak, 1,877 added, 1 deleted).
% 0.51/0.71  ; Trie-index has 6,055 nodes (6,055 at peak, 6,056 added, 1 deleted).
% 0.51/0.71  ; Retrieved 1,170 generalization terms in 3,876 calls.
% 0.51/0.71  ; Retrieved 638 instance terms in 614 calls.
% 0.51/0.71  ; Retrieved 40,403 unifiable terms in 2,244 calls.
% 0.51/0.71  ; 
% 0.51/0.71  ; The agenda of rows to process has 83 entries:
% 0.51/0.71  ;     1 with value 11              8 with value 16              24 with value 19
% 0.51/0.71  ;     1 with value 12             16 with value 17               2 with value 20
% 0.51/0.71  ;     1 with value 14             28 with value 18               2 with value 21
% 0.51/0.71  ; The agenda of rows to give has 720 entries:
% 0.51/0.71  ;    31 with value (4 10)          4 with value (4 22)           3 with value (4 34)
% 0.51/0.71  ;    30 with value (4 11)          7 with value (4 23)           2 with value (4 37)
% 0.51/0.71  ;    54 with value (4 12)          5 with value (4 24)           1 with value (4 43)
% 0.51/0.71  ;    65 with value (4 13)          4 with value (4 25)           1 with value (4 44)
% 0.51/0.71  ;    84 with value (4 14)          7 with value (4 26)           1 with value (4 45)
% 0.51/0.71  ;   100 with value (4 15)          1 with value (4 27)           4 with value (4 46)
% 0.51/0.71  ;    99 with value (4 16)          3 with value (4 28)           2 with value (4 49)
% 0.51/0.71  ;    75 with value (4 17)          5 with value (4 29)           1 with value (4 51)
% 0.51/0.71  ;    51 with value (4 18)          3 with value (4 30)           1 with value (4 53)
% 0.51/0.71  ;    44 with value (4 19)          1 with value (4 31)           1 with value (4 55)
% 0.51/0.71  ;    12 with value (4 20)          1 with value (4 32)           1 with value (4 59)
% 0.51/0.71  ;    13 with value (4 21)          2 with value (4 33)           1 with value (4 63)
% 0.51/0.71  Evaluation took:
% 0.51/0.71    0.224 seconds of real time
% 0.51/0.71    0.202893 seconds of user run time
% 0.51/0.71    0.021287 seconds of system run time
% 0.51/0.71    [Run times include 0.016 seconds GC run time.]
% 0.51/0.71    0 calls to %EVAL
% 0.51/0.71    0 page faults and
% 0.51/0.71    13,093,424 bytes consed.
% 0.51/0.71  :PROOF-FOUND
% 0.51/0.71  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:07:29
% 0.51/0.71  :PROOF-FOUND
% 0.51/0.71  * 
%------------------------------------------------------------------------------