TSTP Solution File: ALG014+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG014+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 17:59:37 EDT 2022

% Result   : Theorem 0.48s 0.64s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   15 (  10 unt;   3 nHn;  15 RR)
%            Number of literals    :   29 (  28 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(82,axiom,
    op(e0,unit) = e0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

cnf(102,axiom,
    unit = e0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

cnf(183,axiom,
    e0 != e1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

cnf(184,axiom,
    e0 != e2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

cnf(185,axiom,
    e0 != e3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

cnf(189,negated_conjecture,
    ( op(e0,e0) != e0
    | op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(256,negated_conjecture,
    ( op(e1,e1) = e0
    | op(e0,e0) = e1
    | op(e0,e0) = e2
    | op(e0,e0) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(340,negated_conjecture,
    ( op(e2,e2) = e0
    | op(e1,e1) = e1
    | op(e1,e1) = e2
    | op(e1,e1) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(424,negated_conjecture,
    ( op(e3,e3) = e0
    | op(e2,e2) = e1
    | op(e2,e2) = e2
    | op(e2,e2) = e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

cnf(448,plain,
    op(e0,e0) = e0,
    inference('REWRITE',[status(thm)],[82,102,theory(equality)]) ).

cnf(467,plain,
    ( op(e1,e1) != e0
    | op(e2,e2) != e0
    | op(e3,e3) != e0 ),
    inference('REWRITE',[status(thm)],[189,448,theory(equality)]) ).

cnf(468,plain,
    op(e1,e1) = e0,
    inference('REWRITE',[status(thm)],[256,185,184,183,448,theory(equality)]) ).

cnf(484,plain,
    op(e2,e2) = e0,
    inference('REWRITE',[status(thm)],[340,185,184,183,468,theory(equality)]) ).

cnf(496,plain,
    op(e3,e3) = e0,
    inference('REWRITE',[status(thm)],[424,185,184,183,484,theory(equality)]) ).

cnf(504,plain,
    $false,
    inference('REWRITE',[status(thm)],[467,496,484,468,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11  % Problem  : ALG014+1 : TPTP v8.1.0. Released v2.7.0.
% 0.01/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n017.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 : Wed Jun  8 01:59:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-08T01:59:03
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-08T01:59:03
% 0.48/0.64  
% 0.48/0.64  
% 0.48/0.64  #||
% 0.48/0.64  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.48/0.64  % SZS output start Refutation
% See solution above
% 0.48/0.65  ||#
% 0.48/0.65  
% 0.48/0.65  ; Summary of computation:
% 0.48/0.65  ;       798 formulas have been input or derived (from 1 formulas).
% 0.48/0.65  ;       504 (63%) were retained.  Of these,
% 0.48/0.65  ;          362 (72%) were simplified or subsumed later,
% 0.48/0.65  ;          142 (28%) are still being kept.
% 0.48/0.65  ; 
% 0.48/0.65  ; Run time in seconds excluding printing time:
% 0.48/0.65  ;     0.022  12%   Read assertion file          (1 call)
% 0.48/0.65  ;     0.027  15%   Assert                       (12 calls)
% 0.48/0.65  ;     0.038  21%   Process new row              (662 calls)
% 0.48/0.65  ;     0.000   0%   Condensing                   (309 calls)
% 0.48/0.65  ;     0.021  11%   Forward subsumption          (309 calls)
% 0.48/0.65  ;     0.016   9%   Backward subsumption         (305 calls)
% 0.48/0.65  ;     0.010   5%   Clause clause subsumption    (2,638 calls)
% 0.48/0.65  ;     0.011   6%   Forward simplification       (662 calls)
% 0.48/0.65  ;     0.016   9%   Backward simplification      (494 calls)
% 0.48/0.65  ;     0.002   1%   Ordering                     (116 calls)
% 0.48/0.65  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.48/0.65  ;     0.001   1%   Purity testing               (1 call)
% 0.48/0.65  ;     0.018  10%   Other
% 0.48/0.65  ;     0.183        Total
% 0.48/0.65  ;     0.186        Real time
% 0.48/0.65  ; 
% 0.48/0.65  ; Term-hash-array has 418 terms in all.
% 0.48/0.65  ; Feature-vector-row-index has 21 entries (281 at peak, 305 added, 284 deleted).
% 0.48/0.65  ; Feature-vector-row-index has 108 nodes (388 at peak, 488 added, 380 deleted).
% 0.48/0.65  ;  Retrieved 1,318 possibly forward subsuming rows in 309 calls.
% 0.48/0.65  ;  Retrieved 1,320 possibly backward subsumed rows in 305 calls.
% 0.48/0.65  ; Path-index has 289 entries (358 at peak, 489 added, 200 deleted).
% 0.48/0.65  ; Path-index has 100 nodes (112 at peak, 120 added, 20 deleted).
% 0.48/0.65  ; Trie-index has 289 entries (358 at peak, 489 added, 200 deleted).
% 0.48/0.65  ; Trie-index has 660 nodes (836 at peak, 1,070 added, 410 deleted).
% 0.48/0.65  ; Retrieved 380 generalization terms in 3,642 calls.
% 0.48/0.65  ; Retrieved 188 instance terms in 188 calls.
% 0.48/0.65  ; 
% 0.48/0.65  ; The agenda of backward simplifiable rows to process has 125 entries:
% 0.48/0.65  ;   125 with value 0
% 0.48/0.65  ; The agenda of input rows to give has 141 entries:
% 0.48/0.65  ;     7 with value 4              27 with value 9               36 with value 14
% 0.48/0.65  ;     4 with value 6               6 with value 10               3 with value 18
% 0.48/0.65  ;    19 with value 7              24 with value 12              12 with value 21
% 0.48/0.65  ;     3 with value 8
% 0.48/0.65  Evaluation took:
% 0.48/0.65    0.191 seconds of real time
% 0.48/0.65    0.167994 seconds of user run time
% 0.48/0.65    0.022665 seconds of system run time
% 0.48/0.65    [Run times include 0.005 seconds GC run time.]
% 0.48/0.65    0 calls to %EVAL
% 0.48/0.65    0 page faults and
% 0.48/0.65    12,407,992 bytes consed.
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T01:59:03
% 0.48/0.65  :PROOF-FOUND
% 0.48/0.65  * 
%------------------------------------------------------------------------------