TSTP Solution File: ALG025+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 : Thu Jul 14 17:59:40 EDT 2022

% Result   : Theorem 0.50s 0.67s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   18 (  16 unt;   0 nHn;  18 RR)
%            Number of literals    :   52 (  51 equ;  36 neg)
%            Maximal clause size   :   21 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(547,negated_conjecture,
    ( op(e0,e0) != op(e0,e0)
    | op(e0,e1) != op(e1,e0)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e4) != op(e4,e0)
    | op(e0,e5) != op(e5,e0)
    | op(e1,e1) != op(e1,e1)
    | op(e1,e2) != op(e2,e1)
    | op(e1,e3) != op(e3,e1)
    | op(e1,e4) != op(e4,e1)
    | op(e1,e5) != op(e5,e1)
    | op(e2,e2) != op(e2,e2)
    | op(e2,e3) != op(e3,e2)
    | op(e2,e4) != op(e4,e2)
    | op(e2,e5) != op(e5,e2)
    | op(e3,e3) != op(e3,e3)
    | op(e3,e4) != op(e4,e3)
    | op(e3,e5) != op(e5,e3)
    | op(e4,e4) != op(e4,e4)
    | op(e4,e5) != op(e5,e4)
    | op(e5,e5) != op(e5,e5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(548,plain,
    ( op(e0,e1) != op(e1,e0)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e4) != op(e4,e0)
    | op(e0,e5) != op(e5,e0)
    | op(e1,e2) != op(e2,e1)
    | op(e1,e3) != op(e3,e1)
    | op(e1,e4) != op(e4,e1)
    | op(e1,e5) != op(e5,e1)
    | op(e2,e3) != op(e3,e2)
    | op(e2,e4) != op(e4,e2)
    | op(e2,e5) != op(e5,e2)
    | op(e3,e4) != op(e4,e3)
    | op(e3,e5) != op(e5,e3)
    | op(e4,e5) != op(e5,e4) ),
    inference('REWRITE',[status(thm)],[547,theory(equality)]) ).

cnf(549,negated_conjecture,
    op(e0,e1) = op(e1,e0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(550,negated_conjecture,
    op(e0,e2) = op(e2,e0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(551,negated_conjecture,
    op(e0,e3) = op(e3,e0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(552,negated_conjecture,
    op(e0,e4) = op(e4,e0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(553,negated_conjecture,
    op(e0,e5) = op(e5,e0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(554,negated_conjecture,
    op(e1,e2) = op(e2,e1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(555,negated_conjecture,
    op(e1,e3) = op(e3,e1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(556,negated_conjecture,
    op(e1,e4) = op(e4,e1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(557,negated_conjecture,
    op(e1,e5) = op(e5,e1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(558,negated_conjecture,
    op(e2,e3) = op(e3,e2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(559,negated_conjecture,
    op(e2,e4) = op(e4,e2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(560,negated_conjecture,
    op(e2,e5) = op(e5,e2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(561,negated_conjecture,
    op(e3,e4) = op(e4,e3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(562,negated_conjecture,
    op(e3,e5) = op(e5,e3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(563,negated_conjecture,
    op(e4,e5) = op(e5,e4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

cnf(564,plain,
    $false,
    inference('REWRITE',[status(thm)],[548,563,562,561,560,559,558,557,556,555,554,553,552,551,550,549,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n027.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 : Thu Jun  9 00:22:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 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 2022-06-09T00:22:27
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-09T00:22:27
% 0.50/0.67  
% 0.50/0.67  
% 0.50/0.67  #||
% 0.50/0.67  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.50/0.67  % SZS output start Refutation
% See solution above
% 0.50/0.67  ||#
% 0.50/0.67  
% 0.50/0.67  ; Summary of computation:
% 0.50/0.67  ;       607 formulas have been input or derived (from 1 formulas).
% 0.50/0.67  ;       564 (93%) were retained.  Of these,
% 0.50/0.67  ;           59 (10%) were simplified or subsumed later,
% 0.50/0.67  ;          505 (90%) are still being kept.
% 0.50/0.67  ; 
% 0.50/0.67  ; Run time in seconds excluding printing time:
% 0.50/0.67  ;     0.067  32%   Read assertion file          (1 call)
% 0.50/0.67  ;     0.079  38%   Assert                       (12 calls)
% 0.50/0.67  ;     0.026  12%   Process new row              (554 calls)
% 0.50/0.67  ;     0.001   0%   Condensing                   (74 calls)
% 0.50/0.67  ;     0.002   1%   Forward subsumption          (74 calls)
% 0.50/0.67  ;     0.000   0%   Backward subsumption         (74 calls)
% 0.50/0.67  ;     0.000   0%   Clause clause subsumption    (30 calls)
% 0.50/0.68  ;     0.006   3%   Forward simplification       (554 calls)
% 0.50/0.68  ;     0.007   3%   Backward simplification      (547 calls)
% 0.50/0.68  ;     0.001   0%   Ordering                     (262 calls)
% 0.50/0.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.50/0.68  ;     0.000   0%   Purity testing               (1 call)
% 0.50/0.68  ;     0.020  10%   Other
% 0.50/0.68  ;     0.209        Total
% 0.50/0.68  ;     0.219        Real time
% 0.50/0.68  ; 
% 0.50/0.68  ; Term-hash-array has 1,226 terms in all.
% 0.50/0.68  ; Feature-vector-row-index has 56 entries (71 at peak, 74 added, 18 deleted).
% 0.50/0.68  ; Feature-vector-row-index has 301 nodes (356 at peak, 387 added, 86 deleted).
% 0.50/0.68  ;  Retrieved 15 possibly forward subsuming rows in 74 calls.
% 0.50/0.68  ;  Retrieved 15 possibly backward subsumed rows in 74 calls.
% 0.50/0.68  ; Path-index has 1,170 entries (1,170 at peak, 1,252 added, 82 deleted).
% 0.50/0.68  ; Path-index has 136 nodes (152 at peak, 164 added, 28 deleted).
% 0.50/0.68  ; Trie-index has 1,170 entries (1,170 at peak, 1,252 added, 82 deleted).
% 0.50/0.68  ; Trie-index has 2,610 nodes (2,610 at peak, 2,745 added, 135 deleted).
% 0.50/0.68  ; Retrieved 31 generalization terms in 2,040 calls.
% 0.50/0.68  ; Retrieved 472 instance terms in 472 calls.
% 0.50/0.68  ; 
% 0.50/0.68  ; The agenda of backward simplifiable rows to process has 35 entries:
% 0.50/0.68  ;    35 with value 0
% 0.50/0.68  ; The agenda of input rows to give has 504 entries:
% 0.50/0.68  ;    16 with value 4               5 with value 8              216 with value 14
% 0.50/0.68  ;     6 with value 6             195 with value 9               36 with value 42
% 0.50/0.68  ;    10 with value 7              20 with value 12
% 0.50/0.68  Evaluation took:
% 0.50/0.68    0.22 seconds of real time
% 0.50/0.68    0.205497 seconds of user run time
% 0.50/0.68    0.013733 seconds of system run time
% 0.50/0.68    [Run times include 0.007 seconds GC run time.]
% 0.50/0.68    0 calls to %EVAL
% 0.50/0.68    0 page faults and
% 0.50/0.68    12,506,360 bytes consed.
% 0.50/0.68  :PROOF-FOUND
% 0.50/0.68  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T00:22:27
% 0.50/0.68  :PROOF-FOUND
% 0.50/0.68  * 
%------------------------------------------------------------------------------