TSTP Solution File: ALG028+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG028+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 0.47s 0.72s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   19
% Syntax   : Number of clauses     :   22 (  21 unt;   0 nHn;  22 RR)
%            Number of literals    :   42 (  41 equ;  21 neg)
%            Maximal clause size   :   21 (   1 avg)
%            Maximal term depth    :    4 (   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(532,axiom,
    e1 = op(op(e4,e4),e4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

cnf(533,axiom,
    e2 = op(op(op(e4,e4),e4),e4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

cnf(534,plain,
    op(e1,e4) = e2,
    inference('REWRITE',[status(thm)],[533,532,theory(equality)]) ).

cnf(535,axiom,
    op(e4,e4) = e3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

cnf(538,negated_conjecture,
    op(e0,e1) = op(e1,e0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(539,negated_conjecture,
    op(e0,e2) = op(e2,e0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(540,negated_conjecture,
    op(e0,e3) = op(e3,e0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(541,negated_conjecture,
    op(e0,e4) = op(e4,e0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(542,negated_conjecture,
    op(e0,e5) = op(e5,e0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(543,negated_conjecture,
    op(e1,e2) = op(e2,e1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(544,negated_conjecture,
    op(e1,e3) = op(e3,e1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(545,negated_conjecture,
    op(e1,e4) = op(e4,e1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(546,plain,
    op(e4,e1) = e2,
    inference('REWRITE',[status(thm)],[545,534,theory(equality)]) ).

cnf(547,negated_conjecture,
    op(e1,e5) = op(e5,e1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(548,negated_conjecture,
    op(e2,e3) = op(e3,e2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(549,negated_conjecture,
    op(e2,e4) = op(e4,e2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(550,negated_conjecture,
    op(e2,e5) = op(e5,e2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(551,negated_conjecture,
    op(e3,e4) = op(e4,e3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(552,negated_conjecture,
    op(e3,e5) = op(e5,e3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(553,negated_conjecture,
    op(e4,e5) = op(e5,e4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(554,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/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(555,plain,
    $false,
    inference('REWRITE',[status(thm)],[554,553,535,552,551,550,549,548,547,546,534,544,543,542,541,540,539,538,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ALG028+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n029.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Wed Jun  8 07:43:06 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T07:43:06
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-08T07:43:06
% 0.47/0.72  
% 0.47/0.72  
% 0.47/0.72  #||
% 0.47/0.72  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.72  % SZS output start Refutation
% See solution above
% 0.47/0.72  ||#
% 0.47/0.72  
% 0.47/0.72  ; Summary of computation:
% 0.47/0.72  ;       625 formulas have been input or derived (from 1 formulas).
% 0.47/0.72  ;       555 (89%) were retained.  Of these,
% 0.47/0.72  ;           68 (12%) were simplified or subsumed later,
% 0.47/0.72  ;          487 (88%) are still being kept.
% 0.47/0.72  ; 
% 0.47/0.72  ; Run time in seconds excluding printing time:
% 0.47/0.72  ;     0.067  31%   Read assertion file          (1 call)
% 0.47/0.72  ;     0.083  38%   Assert                       (12 calls)
% 0.47/0.72  ;     0.020   9%   Process new row              (557 calls)
% 0.47/0.72  ;     0.000   0%   Condensing                   (73 calls)
% 0.47/0.72  ;     0.005   2%   Forward subsumption          (73 calls)
% 0.47/0.72  ;     0.002   1%   Backward subsumption         (73 calls)
% 0.47/0.72  ;     0.000   0%   Clause clause subsumption    (30 calls)
% 0.47/0.72  ;     0.010   5%   Forward simplification       (557 calls)
% 0.47/0.72  ;     0.008   4%   Backward simplification      (551 calls)
% 0.55/0.73  ;     0.000   0%   Ordering                     (267 calls)
% 0.55/0.73  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.55/0.73  ;     0.000   0%   Purity testing               (1 call)
% 0.55/0.73  ;     0.021  10%   Other
% 0.55/0.73  ;     0.216        Total
% 0.55/0.73  ;     0.227        Real time
% 0.55/0.73  ; 
% 0.55/0.73  ; Term-hash-array has 1,240 terms in all.
% 0.55/0.73  ; Feature-vector-row-index has 70 entries (73 at peak, 73 added, 3 deleted).
% 0.55/0.73  ; Feature-vector-row-index has 366 nodes (383 at peak, 383 added, 17 deleted).
% 0.55/0.73  ;  Retrieved 15 possibly forward subsuming rows in 73 calls.
% 0.55/0.73  ;  Retrieved 15 possibly backward subsumed rows in 73 calls.
% 0.55/0.73  ; Path-index has 1,108 entries (1,231 at peak, 1,248 added, 140 deleted).
% 0.55/0.73  ; Path-index has 184 nodes (187 at peak, 191 added, 7 deleted).
% 0.55/0.73  ; Trie-index has 1,108 entries (1,231 at peak, 1,248 added, 140 deleted).
% 0.55/0.73  ; Trie-index has 2,433 nodes (2,751 at peak, 2,782 added, 349 deleted).
% 0.55/0.73  ; Retrieved 20 generalization terms in 2,018 calls.
% 0.55/0.73  ; Retrieved 477 instance terms in 477 calls.
% 0.55/0.73  ; 
% 0.55/0.73  ; The agenda of backward simplifiable rows to process has 64 entries:
% 0.55/0.73  ;    64 with value 0
% 0.55/0.73  ; The agenda of input rows to give has 486 entries:
% 0.55/0.73  ;    15 with value 4             178 with value 9                1 with value 24
% 0.55/0.73  ;     1 with value 6              30 with value 12               6 with value 36
% 0.55/0.73  ;    30 with value 7               1 with value 13              33 with value 42
% 0.55/0.73  ;     6 with value 8             185 with value 14
% 0.55/0.73  Evaluation took:
% 0.55/0.73    0.227 seconds of real time
% 0.55/0.73    0.217142 seconds of user run time
% 0.55/0.73    0.010112 seconds of system run time
% 0.55/0.73    [Run times include 0.009 seconds GC run time.]
% 0.55/0.73    0 calls to %EVAL
% 0.55/0.73    0 page faults and
% 0.55/0.73    12,485,560 bytes consed.
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T07:43:06
% 0.55/0.73  :PROOF-FOUND
% 0.55/0.73  * 
%------------------------------------------------------------------------------