TSTP Solution File: SET196-6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET196-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 05:08:16 EDT 2022

% Result   : Unsatisfiable 0.70s 0.89s
% Output   : Refutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   11 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
    ( member(not_subclass_element(X,Y),X)
    | subclass(X,Y) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).

cnf(intersection1,axiom,
    ( ~ member(X,intersection(Y,Z))
    | member(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).

cnf(prove_lattice_lower_bound1_1,negated_conjecture,
    ~ subclass(intersection(x,y),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lattice_lower_bound1_1) ).

cnf(143,plain,
    member(not_subclass_element(intersection(x,y),x),intersection(x,y)),
    inference('HYPERRESOLVE',[status(thm)],[prove_lattice_lower_bound1_1,not_subclass_members1]) ).

cnf(144,plain,
    ~ member(not_subclass_element(intersection(x,y),x),x),
    inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_lattice_lower_bound1_1]) ).

cnf(2320,plain,
    ~ member(not_subclass_element(intersection(x,y),x),intersection(x,X)),
    inference('UR-RESOLVE',[status(thm)],[intersection1,144]) ).

cnf(2321,plain,
    $false,
    inference('REWRITE',[status(thm)],[143,2320]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET196-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 09:25:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:25:22
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-11T09:25:22
% 0.70/0.89  
% 0.70/0.89  
% 0.70/0.89  #||
% 0.70/0.89  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.89  % SZS output start Refutation
% See solution above
% 0.70/0.89  ||#
% 0.70/0.89  
% 0.70/0.89  ; Summary of computation:
% 0.70/0.89  ;      4639 formulas have been input or derived (from 185 formulas).
% 0.70/0.89  ;      2321 (50%) were retained.  Of these,
% 0.70/0.89  ;           17 ( 1%) were simplified or subsumed later,
% 0.70/0.89  ;         2304 (99%) are still being kept.
% 0.70/0.89  ; 
% 0.70/0.89  ; Run time in seconds excluding printing time:
% 0.70/0.89  ;     0.021   5%   Read assertion file          (1 call)
% 0.70/0.89  ;     0.004   1%   Assert                       (113 calls)
% 0.70/0.89  ;     0.144  33%   Process new row              (4,386 calls)
% 0.70/0.89  ;     0.122  28%   Resolution                   (368 calls)
% 0.70/0.89  ;     0.001   0%   Paramodulation               (184 calls)
% 0.70/0.89  ;     0.000   0%   Factoring                    (3 calls)
% 0.70/0.89  ;     0.005   1%   Condensing                   (365 calls)
% 0.70/0.89  ;     0.011   3%   Forward subsumption          (365 calls)
% 0.70/0.89  ;     0.011   3%   Backward subsumption         (348 calls)
% 0.70/0.89  ;     0.001   0%   Clause clause subsumption    (235 calls)
% 0.70/0.89  ;     0.049  11%   Forward simplification       (4,386 calls)
% 0.70/0.89  ;     0.017   4%   Backward simplification      (2,306 calls)
% 0.70/0.89  ;     0.003   1%   Ordering                     (721 calls)
% 0.70/0.89  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.70/0.89  ;     0.001   0%   Purity testing               (1 call)
% 0.70/0.89  ;     0.042  10%   Other
% 0.70/0.89  ;     0.432        Total
% 0.70/0.89  ;     0.433        Real time
% 0.70/0.89  ; 
% 0.70/0.89  ; Term-hash-array has 4,070 terms in all.
% 0.70/0.89  ; Feature-vector-row-index has 348 entries (348 at peak, 348 added, 0 deleted).
% 0.70/0.89  ; Feature-vector-row-index has 2,150 nodes (2,150 at peak, 2,150 added, 0 deleted).
% 0.70/0.89  ;  Retrieved 211 possibly forward subsuming rows in 365 calls.
% 0.70/0.89  ;  Retrieved 77 possibly backward subsumed rows in 348 calls.
% 0.70/0.89  ; Path-index has 4,082 entries (4,083 at peak, 4,084 added, 2 deleted).
% 0.70/0.89  ; Path-index has 4,693 nodes (4,694 at peak, 4,695 added, 2 deleted).
% 0.70/0.89  ; Trie-index has 4,082 entries (4,083 at peak, 4,084 added, 2 deleted).
% 0.70/0.89  ; Trie-index has 12,320 nodes (12,321 at peak, 12,322 added, 2 deleted).
% 0.70/0.89  ; Retrieved 3,155 generalization terms in 11,180 calls.
% 0.70/0.89  ; Retrieved 1,983 instance terms in 1,957 calls.
% 0.70/0.89  ; Retrieved 153,356 unifiable terms in 4,359 calls.
% 0.70/0.89  ; 
% 0.70/0.89  ; The agenda of rows to process has 3 entries:
% 0.70/0.89  ;     1 with value 15              2 with value 17
% 0.70/0.89  ; The agenda of rows to give has 2119 entries:
% 0.70/0.89  ;    36 with value (4 11)          9 with value (4 23)           2 with value (4 37)
% 0.70/0.89  ;    72 with value (4 12)         11 with value (4 24)           1 with value (4 43)
% 0.70/0.89  ;   106 with value (4 13)          4 with value (4 25)           1 with value (4 44)
% 0.70/0.89  ;   138 with value (4 14)          8 with value (4 26)           1 with value (4 45)
% 0.70/0.89  ;   112 with value (4 15)          2 with value (4 27)           4 with value (4 46)
% 0.70/0.89  ;   295 with value (4 16)          9 with value (4 28)           2 with value (4 49)
% 0.70/0.89  ;   264 with value (4 17)         10 with value (4 29)           1 with value (4 51)
% 0.70/0.89  ;   483 with value (4 18)          3 with value (4 30)           1 with value (4 53)
% 0.70/0.89  ;   303 with value (4 19)          1 with value (4 31)           1 with value (4 55)
% 0.70/0.89  ;   168 with value (4 20)          1 with value (4 32)           1 with value (4 59)
% 0.70/0.89  ;    58 with value (4 21)          2 with value (4 33)           1 with value (4 63)
% 0.70/0.89  ;     5 with value (4 22)          3 with value (4 34)
% 0.70/0.89  Evaluation took:
% 0.70/0.89    0.434 seconds of real time
% 0.70/0.89    0.395769 seconds of user run time
% 0.70/0.89    0.038179 seconds of system run time
% 0.70/0.89    [Run times include 0.028 seconds GC run time.]
% 0.70/0.89    0 calls to %EVAL
% 0.70/0.89    0 page faults and
% 0.70/0.89    28,079,656 bytes consed.
% 0.70/0.89  :PROOF-FOUND
% 0.70/0.89  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T09:25:23
% 0.70/0.89  :PROOF-FOUND
% 0.70/0.89  * 
%------------------------------------------------------------------------------