TSTP Solution File: SWC408-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC408-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 21:58:42 EDT 2022

% Result   : Unsatisfiable 2.57s 2.81s
% Output   : Refutation 2.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   10 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   14 (   4 equ;   5 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause140,axiom,
    ( ~ memberP(X,Y)
    | ~ ssList(Z)
    | ~ ssList(X)
    | ~ ssItem(Y)
    | memberP(app(X,Z),Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).

cnf(co1_2,negated_conjecture,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

cnf(co1_5,negated_conjecture,
    app(sk4,sk4) = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_6,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

cnf(co1_8,negated_conjecture,
    ssItem(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

cnf(co1_9,negated_conjecture,
    memberP(sk2,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_10,negated_conjecture,
    ~ memberP(sk1,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(193,plain,
    app(sk2,sk2) = sk1,
    inference('REWRITE',[status(thm)],[co1_5,co1_7,co1_6,theory(equality)]) ).

cnf(10229,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[clause140,co1_9,co1_2,co1_2,co1_8]),co1_10,193,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWC408-1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.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 : Sat Jun 11 20:01:24 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T20:01:24
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-11T20:01:24
% 2.57/2.81  
% 2.57/2.81  
% 2.57/2.81  #||
% 2.57/2.81  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.57/2.81  % SZS output start Refutation
% See solution above
% 2.57/2.81  ||#
% 2.57/2.81  
% 2.57/2.81  ; Summary of computation:
% 2.57/2.81  ;     14606 formulas have been input or derived (from 143 formulas).
% 2.57/2.81  ;     10229 (70%) were retained.  Of these,
% 2.57/2.81  ;         2656 (26%) were simplified or subsumed later,
% 2.57/2.81  ;         7573 (74%) are still being kept.
% 2.57/2.81  ; 
% 2.57/2.81  ; Run time in seconds excluding printing time:
% 2.57/2.81  ;     0.036   2%   Read assertion file          (1 call)
% 2.57/2.81  ;     0.007   0%   Assert                       (195 calls)
% 2.57/2.81  ;     0.578  25%   Process new row              (14,543 calls)
% 2.57/2.81  ;     1.144  49%   Resolution                   (284 calls)
% 2.57/2.81  ;     0.002   0%   Paramodulation               (142 calls)
% 2.57/2.81  ;     0.015   1%   Condensing                   (2,435 calls)
% 2.57/2.81  ;     0.036   2%   Forward subsumption          (2,435 calls)
% 2.57/2.81  ;     0.084   4%   Backward subsumption         (2,432 calls)
% 2.57/2.81  ;     0.002   0%   Clause clause subsumption    (1,294 calls)
% 2.57/2.81  ;     0.197   8%   Forward simplification       (14,543 calls)
% 2.57/2.81  ;     0.159   7%   Backward simplification      (10,229 calls)
% 2.57/2.81  ;     0.010   0%   Ordering                     (5,960 calls)
% 2.57/2.81  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.57/2.81  ;     0.000   0%   Purity testing               (1 call)
% 2.57/2.81  ;     0.080   3%   Other
% 2.57/2.81  ;     2.350        Total
% 2.57/2.81  ;     2.350        Real time
% 2.57/2.82  ; 
% 2.57/2.82  ; Term-hash-array has 16,839 terms in all.
% 2.57/2.82  ; Feature-vector-row-index has 2,389 entries (2,389 at peak, 2,432 added, 43 deleted).
% 2.57/2.82  ; Feature-vector-row-index has 2,639 nodes (2,639 at peak, 2,966 added, 327 deleted).
% 2.57/2.82  ;  Retrieved 9,203 possibly forward subsuming rows in 2,435 calls.
% 2.57/2.82  ;  Retrieved 9,164 possibly backward subsumed rows in 2,432 calls.
% 2.57/2.82  ; Path-index has 13,083 entries (13,083 at peak, 16,923 added, 3,840 deleted).
% 2.57/2.82  ; Path-index has 5,897 nodes (5,897 at peak, 6,443 added, 546 deleted).
% 2.57/2.82  ; Trie-index has 13,083 entries (13,083 at peak, 16,923 added, 3,840 deleted).
% 2.67/2.82  ; Trie-index has 37,462 nodes (37,462 at peak, 48,787 added, 11,325 deleted).
% 2.67/2.82  ; Retrieved 5,507 generalization terms in 37,392 calls.
% 2.67/2.82  ; Retrieved 7,882 instance terms in 7,796 calls.
% 2.67/2.82  ; Retrieved 4,038,116 unifiable terms in 116,424 calls.
% 2.67/2.82  ; 
% 2.67/2.82  ; The agenda of rows to process has 59 entries:
% 2.67/2.82  ;     5 with value 8              42 with value 10              12 with value 11
% 2.67/2.82  ; The agenda of input rows to give has 49 entries:
% 2.67/2.82  ;     4 with value 20              8 with value 25               1 with value 33
% 2.67/2.82  ;     9 with value 21              3 with value 26               1 with value 35
% 2.67/2.82  ;     5 with value 22              1 with value 27               2 with value 40
% 2.67/2.82  ;     2 with value 23              1 with value 29               3 with value 44
% 2.67/2.82  ;     2 with value 24              7 with value 32
% 2.67/2.82  ; The agenda of rows to give has 7382 entries:
% 2.67/2.82  ;    38 with value (4 5)         753 with value (4 13)         132 with value (4 20)
% 2.67/2.82  ;   107 with value (4 7)         540 with value (4 14)         462 with value (4 21)
% 2.67/2.82  ;   188 with value (4 8)        1619 with value (4 15)         126 with value (4 22)
% 2.67/2.82  ;   236 with value (4 9)         219 with value (4 16)          12 with value (4 23)
% 2.67/2.82  ;   526 with value (4 10)       1050 with value (4 17)         147 with value (4 24)
% 2.67/2.82  ;   396 with value (4 11)        419 with value (4 18)          42 with value (4 25)
% 2.67/2.82  ;   226 with value (4 12)        138 with value (4 19)           6 with value (4 28)
% 2.67/2.82  Evaluation took:
% 2.67/2.82    2.359 seconds of real time
% 2.67/2.82    2.214195 seconds of user run time
% 2.67/2.82    0.145348 seconds of system run time
% 2.67/2.82    [Run times include 0.242 seconds GC run time.]
% 2.67/2.82    0 calls to %EVAL
% 2.67/2.82    0 page faults and
% 2.67/2.82    213,944,976 bytes consed.
% 2.67/2.82  :PROOF-FOUND
% 2.67/2.82  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-11T20:01:26
% 2.67/2.82  :PROOF-FOUND
% 2.67/2.82  * 
%------------------------------------------------------------------------------