TSTP Solution File: SET059-7 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET059-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n025.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 05:06:36 EDT 2022

% Result   : Unsatisfiable 0.37s 0.61s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   2 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

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

cnf(prove_equality4_1,negated_conjecture,
    member(not_subclass_element(x,y),y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality4_1) ).

cnf(prove_equality4_2,negated_conjecture,
    member(not_subclass_element(y,x),x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality4_2) ).

cnf(prove_equality4_3,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equality4_3) ).

cnf(126,plain,
    subclass(x,y),
    inference('HYPERRESOLVE',[status(thm)],[not_subclass_members2,prove_equality4_1]) ).

cnf(127,plain,
    subclass(y,x),
    inference('HYPERRESOLVE',[status(thm)],[not_subclass_members2,prove_equality4_2]) ).

cnf(291,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,126,prove_equality4_3]),127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET059-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n025.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 : Sat Jul  9 16:38:46 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 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  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T16:38:46
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-09T16:38:46
% 0.37/0.61  
% 0.37/0.61  
% 0.37/0.61  #||
% 0.37/0.61  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.61  % SZS output start Refutation
% See solution above
% 0.37/0.61  ||#
% 0.37/0.61  
% 0.37/0.61  ; Summary of computation:
% 0.37/0.61  ;       539 formulas have been input or derived (from 102 formulas).
% 0.37/0.61  ;       291 (54%) were retained.  Of these,
% 0.37/0.61  ;           12 ( 4%) were simplified or subsumed later,
% 0.37/0.61  ;          279 (96%) are still being kept.
% 0.37/0.61  ; 
% 0.37/0.61  ; Run time in seconds excluding printing time:
% 0.37/0.61  ;     0.019  19%   Read assertion file          (1 call)
% 0.37/0.61  ;     0.002   2%   Assert                       (100 calls)
% 0.37/0.61  ;     0.035  34%   Process new row              (487 calls)
% 0.37/0.61  ;     0.007   7%   Resolution                   (202 calls)
% 0.37/0.61  ;     0.000   0%   Paramodulation               (101 calls)
% 0.37/0.61  ;     0.000   0%   Factoring                    (3 calls)
% 0.37/0.61  ;     0.002   2%   Condensing                   (185 calls)
% 0.37/0.61  ;     0.006   6%   Forward subsumption          (185 calls)
% 0.37/0.61  ;     0.002   2%   Backward subsumption         (170 calls)
% 0.37/0.61  ;     0.000   0%   Clause clause subsumption    (113 calls)
% 0.37/0.61  ;     0.001   1%   Forward simplification       (487 calls)
% 0.37/0.61  ;     0.000   0%   Backward simplification      (279 calls)
% 0.37/0.61  ;     0.000   0%   Ordering                     (344 calls)
% 0.37/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.61  ;     0.001   1%   Purity testing               (1 call)
% 0.37/0.61  ;     0.027  26%   Other
% 0.37/0.61  ;     0.102        Total
% 0.37/0.61  ;     0.122        Real time
% 0.37/0.61  ; 
% 0.37/0.61  ; Term-hash-array has 774 terms in all.
% 0.37/0.61  ; Feature-vector-row-index has 170 entries (170 at peak, 170 added, 0 deleted).
% 0.37/0.61  ; Feature-vector-row-index has 1,129 nodes (1,129 at peak, 1,129 added, 0 deleted).
% 0.37/0.61  ;  Retrieved 101 possibly forward subsuming rows in 185 calls.
% 0.37/0.61  ;  Retrieved 23 possibly backward subsumed rows in 170 calls.
% 0.37/0.61  ; Path-index has 784 entries (784 at peak, 784 added, 0 deleted).
% 0.37/0.61  ; Path-index has 2,623 nodes (2,623 at peak, 2,623 added, 0 deleted).
% 0.37/0.61  ; Trie-index has 784 entries (784 at peak, 784 added, 0 deleted).
% 0.37/0.61  ; Trie-index has 2,649 nodes (2,649 at peak, 2,649 added, 0 deleted).
% 0.37/0.61  ; Retrieved 404 generalization terms in 1,293 calls.
% 0.37/0.61  ; Retrieved 125 instance terms in 108 calls.
% 0.37/0.61  ; Retrieved 7,640 unifiable terms in 853 calls.
% 0.37/0.61  ; 
% 0.37/0.61  ; The agenda of rows to process has 6 entries:
% 0.37/0.61  ;     1 with value 6               1 with value 12               3 with value 13
% 0.37/0.61  ;     1 with value 9
% 0.37/0.61  ; The agenda of rows to give has 177 entries:
% 0.37/0.61  ;     1 with value (4 5)           7 with value (4 17)           2 with value (4 33)
% 0.37/0.61  ;     1 with value (4 6)          11 with value (4 18)           2 with value (4 34)
% 0.37/0.61  ;     6 with value (4 7)          12 with value (4 19)           2 with value (4 37)
% 0.37/0.61  ;    10 with value (4 8)           6 with value (4 20)           1 with value (4 43)
% 0.37/0.61  ;     5 with value (4 9)           2 with value (4 21)           1 with value (4 44)
% 0.37/0.61  ;     7 with value (4 10)          3 with value (4 22)           1 with value (4 45)
% 0.37/0.61  ;     8 with value (4 11)          4 with value (4 23)           3 with value (4 46)
% 0.37/0.61  ;     5 with value (4 12)          7 with value (4 24)           1 with value (4 49)
% 0.37/0.61  ;    16 with value (4 13)          4 with value (4 26)           1 with value (4 51)
% 0.37/0.61  ;    11 with value (4 14)          3 with value (4 29)           1 with value (4 53)
% 0.37/0.61  ;    19 with value (4 15)          3 with value (4 30)           1 with value (4 59)
% 0.37/0.61  ;     7 with value (4 16)          2 with value (4 31)           1 with value (4 63)
% 0.37/0.61  Evaluation took:
% 0.37/0.61    0.122 seconds of real time
% 0.37/0.61    0.089005 seconds of user run time
% 0.37/0.61    0.014922 seconds of system run time
% 0.37/0.61    0 calls to %EVAL
% 0.37/0.61    0 page faults and
% 0.37/0.61    6,367,152 bytes consed.
% 0.37/0.61  :PROOF-FOUND
% 0.37/0.61  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T16:38:46
% 0.37/0.61  :PROOF-FOUND
% 0.37/0.61  * 
%------------------------------------------------------------------------------