TSTP Solution File: SWC095-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SWC095-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 21:56:51 EDT 2022

% Result   : Unsatisfiable 86.25s 86.43s
% Output   : Refutation 86.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   11 (  10 unt;   0 nHn;  11 RR)
%            Number of literals    :   15 (   8 equ;   5 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(co1_5,negated_conjecture,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

cnf(co1_6,negated_conjecture,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

cnf(co1_7,negated_conjecture,
    ( ~ ssList(X)
    | ~ ssList(Y)
    | ~ ssList(Z)
    | app(app(X,Y),Z) != sk1
    | app(X,Z) != sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

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

cnf(co1_9,negated_conjecture,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

cnf(co1_10,negated_conjecture,
    ssList(sk7),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

cnf(co1_11,negated_conjecture,
    app(app(sk5,sk6),sk7) = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

cnf(194,plain,
    app(app(sk5,sk6),sk7) = sk1,
    inference('REWRITE',[status(thm)],[co1_11,co1_6,theory(equality)]) ).

cnf(co1_12,negated_conjecture,
    app(sk5,sk7) = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

cnf(196,plain,
    app(sk5,sk7) = sk2,
    inference('REWRITE',[status(thm)],[co1_12,co1_5,theory(equality)]) ).

cnf(68137,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[co1_7,co1_8,co1_9,co1_10,194,196]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC095-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Sun Jun 12 00:05:52 EDT 2022
% 0.15/0.35  % 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 2022-06-12T00:05:52
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-12T00:05:52
% 86.25/86.43  
% 86.25/86.43  
% 86.25/86.43  #||
% 86.25/86.43  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 86.25/86.43  % SZS output start Refutation
% See solution above
% 86.25/86.43  ||#
% 86.25/86.43  
% 86.25/86.43  ; Summary of computation:
% 86.25/86.43  ;    136692 formulas have been input or derived (from 178 formulas).
% 86.25/86.43  ;     68137 (50%) were retained.  Of these,
% 86.25/86.43  ;         2770 ( 4%) were simplified or subsumed later,
% 86.25/86.43  ;        65367 (96%) are still being kept.
% 86.25/86.43  ; 
% 86.25/86.43  ; Run time in seconds excluding printing time:
% 86.25/86.43  ;     0.036   0%   Read assertion file          (1 call)
% 86.25/86.43  ;     0.007   0%   Assert                       (197 calls)
% 86.25/86.43  ;     7.596   9%   Process new row              (131,327 calls)
% 86.25/86.43  ;    69.410  81%   Resolution                   (354 calls)
% 86.25/86.43  ;     0.088   0%   Paramodulation               (177 calls)
% 86.25/86.43  ;     0.046   0%   Condensing                   (3,902 calls)
% 86.25/86.43  ;     0.066   0%   Forward subsumption          (3,902 calls)
% 86.25/86.43  ;     0.207   0%   Backward subsumption         (3,864 calls)
% 86.25/86.43  ;     0.002   0%   Clause clause subsumption    (1,494 calls)
% 86.25/86.43  ;     2.569   3%   Forward simplification       (131,327 calls)
% 86.25/86.43  ;     4.748   6%   Backward simplification      (68,135 calls)
% 86.25/86.43  ;     0.721   1%   Ordering                     (131,530 calls)
% 86.25/86.43  ;     0.000   0%   Sortal reasoning             (32 calls)
% 86.25/86.43  ;     0.001   0%   Purity testing               (1 call)
% 86.25/86.43  ;     0.447   1%   Other
% 86.25/86.43  ;    85.944        Total
% 86.25/86.43  ;    85.945        Real time
% 86.25/86.44  ; 
% 86.25/86.44  ; Term-hash-array has 182,465 terms in all.
% 86.25/86.44  ; Feature-vector-row-index has 3,818 entries (3,818 at peak, 3,864 added, 46 deleted).
% 86.25/86.44  ; Feature-vector-row-index has 6,267 nodes (6,267 at peak, 6,609 added, 342 deleted).
% 86.25/86.44  ;  Retrieved 12,634 possibly forward subsuming rows in 3,902 calls.
% 86.25/86.44  ;  Retrieved 11,997 possibly backward subsumed rows in 3,864 calls.
% 86.25/86.44  ; Path-index has 178,553 entries (178,553 at peak, 182,557 added, 4,004 deleted).
% 86.25/86.44  ; Path-index has 7,498 nodes (7,498 at peak, 8,072 added, 574 deleted).
% 86.25/86.44  ; Trie-index has 178,553 entries (178,553 at peak, 182,557 added, 4,004 deleted).
% 86.25/86.44  ; Trie-index has 837,256 nodes (837,256 at peak, 848,604 added, 11,348 deleted).
% 86.25/86.44  ; Retrieved 117,738 generalization terms in 694,851 calls.
% 86.25/86.44  ; Retrieved 112,503 instance terms in 110,926 calls.
% 86.25/86.44  ; Retrieved 245,605,557 unifiable terms in 5,116,221 calls.
% 86.25/86.44  ; 
% 86.25/86.44  ; The agenda of rows to process has 42 entries:
% 86.25/86.44  ;     3 with value 4              21 with value 13               2 with value 24
% 86.25/86.44  ;     1 with value 8               6 with value 14               2 with value 30
% 86.25/86.44  ;     6 with value 11              1 with value 21
% 86.25/86.44  ; The agenda of input rows to give has 16 entries:
% 86.25/86.44  ;     1 with value 27              1 with value 33               2 with value 40
% 86.25/86.44  ;     1 with value 29              1 with value 35               3 with value 44
% 86.25/86.44  ;     7 with value 32
% 86.25/86.44  ; The agenda of rows to give has 65174 entries:
% 86.25/86.44  ;    56 with value (4 5)         690 with value (4 14)       14388 with value (4 22)
% 86.25/86.44  ;   123 with value (4 7)        1904 with value (4 15)        3501 with value (4 23)
% 86.25/86.44  ;   192 with value (4 8)        1402 with value (4 16)        9570 with value (4 24)
% 86.25/86.44  ;   384 with value (4 9)        2628 with value (4 17)        7677 with value (4 25)
% 86.25/86.44  ;   573 with value (4 10)       3807 with value (4 18)        2466 with value (4 26)
% 86.25/86.44  ;   392 with value (4 11)        247 with value (4 19)        3906 with value (4 27)
% 86.25/86.44  ;   228 with value (4 12)       8340 with value (4 20)         222 with value (4 28)
% 86.25/86.44  ;   990 with value (4 13)        912 with value (4 21)         576 with value (4 29)
% 86.25/86.44  Evaluation took:
% 86.25/86.44    85.95 seconds of real time
% 86.25/86.46    84.49452 seconds of user run time
% 86.25/86.46    1.455704 seconds of system run time
% 86.25/86.46    [Run times include 11.237 seconds GC run time.]
% 86.25/86.46    0 calls to %EVAL
% 86.25/86.46    0 page faults and
% 86.25/86.46    6,537,020,520 bytes consed.
% 86.25/86.46  :PROOF-FOUND
% 86.25/86.46  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-12T00:07:18
% 86.25/86.46  :PROOF-FOUND
% 86.25/86.46  * 
%------------------------------------------------------------------------------