TSTP Solution File: SYN698-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN698-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 21 12:02:36 EDT 2022

% Result   : Unsatisfiable 22.50s 22.68s
% Output   : Refutation 22.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   12 (   9 unt;   0 nHn;   9 RR)
%            Number of literals    :   17 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p10_7,negated_conjecture,
    p10(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_7) ).

cnf(p2_12,negated_conjecture,
    p2(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_12) ).

cnf(p2_18,negated_conjecture,
    p2(c44,c46),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_18) ).

cnf(p3_37,negated_conjecture,
    ( p3(f4(X),f4(Y))
    | ~ p2(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_37) ).

cnf(p2_43,negated_conjecture,
    ( p2(X,Y)
    | ~ p2(Z,X)
    | ~ p2(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_43) ).

cnf(p2_56,negated_conjecture,
    p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_56) ).

cnf(not_p2_57,negated_conjecture,
    ~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_57) ).

cnf(p2_62,negated_conjecture,
    ( p2(f11(X,Y),f11(Z,U))
    | ~ p10(Y,U)
    | ~ p3(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_62) ).

cnf(83,plain,
    p3(f4(c44),f4(c46)),
    inference('HYPERRESOLVE',[status(thm)],[p3_37,p2_18]) ).

cnf(136,plain,
    p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
    inference('HYPERRESOLVE',[status(thm)],[p2_43,p2_56,p2_12]) ).

cnf(472,plain,
    p2(f11(f4(c44),X),f11(f4(c46),X)),
    inference('HYPERRESOLVE',[status(thm)],[p2_62,83,p10_7]) ).

cnf(50206,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[p2_43,472,not_p2_57]),136]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN698-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 17:59:25 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T17:59:25
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-11T17:59:25
% 22.50/22.68  
% 22.50/22.68  
% 22.50/22.68  #||
% 22.50/22.68  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.50/22.68  % SZS output start Refutation
% See solution above
% 22.50/22.68  ||#
% 22.50/22.68  
% 22.50/22.68  ; Summary of computation:
% 22.50/22.68  ;    105078 formulas have been input or derived (from 279 formulas).
% 22.50/22.68  ;     50206 (48%) were retained.  Of these,
% 22.50/22.68  ;        50206 (100%) are still being kept.
% 22.50/22.68  ; 
% 22.50/22.68  ; Run time in seconds excluding printing time:
% 22.50/22.68  ;     0.013   0%   Read assertion file          (1 call)
% 22.50/22.68  ;     0.001   0%   Assert                       (74 calls)
% 22.50/22.68  ;     5.390  24%   Process new row              (103,695 calls)
% 22.50/22.68  ;    13.910  63%   Resolution                   (556 calls)
% 22.50/22.68  ;     0.022   0%   Paramodulation               (278 calls)
% 22.50/22.68  ;     0.002   0%   Condensing                   (43 calls)
% 22.50/22.68  ;     0.000   0%   Forward subsumption          (43 calls)
% 22.50/22.68  ;     0.000   0%   Backward subsumption         (43 calls)
% 22.50/22.68  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 22.50/22.68  ;     1.325   6%   Forward simplification       (103,695 calls)
% 22.50/22.68  ;     1.209   5%   Backward simplification      (50,206 calls)
% 22.50/22.68  ;     0.000   0%   Ordering                     (3 calls)
% 22.50/22.68  ;     0.001   0%   Sortal reasoning             (32 calls)
% 22.50/22.68  ;     0.001   0%   Purity testing               (1 call)
% 22.50/22.68  ;     0.326   1%   Other
% 22.50/22.68  ;    22.200        Total
% 22.50/22.68  ;    22.203        Real time
% 22.50/22.69  ; 
% 22.50/22.69  ; Term-hash-array has 128,475 terms in all.
% 22.50/22.69  ; Feature-vector-row-index has 43 entries (43 at peak, 43 added, 0 deleted).
% 22.50/22.69  ; Feature-vector-row-index has 222 nodes (222 at peak, 222 added, 0 deleted).
% 22.50/22.69  ;  Retrieved 5 possibly forward subsuming rows in 43 calls.
% 22.50/22.69  ;  Retrieved 0 possibly backward subsumed rows in 43 calls.
% 22.50/22.69  ; Path-index has 128,490 entries (128,490 at peak, 128,490 added, 0 deleted).
% 22.50/22.69  ; Path-index has 5,470 nodes (5,470 at peak, 5,470 added, 0 deleted).
% 22.50/22.69  ; Trie-index has 128,490 entries (128,490 at peak, 128,490 added, 0 deleted).
% 22.50/22.69  ; Trie-index has 584,449 nodes (584,449 at peak, 584,449 added, 0 deleted).
% 22.50/22.69  ; Retrieved 323,252 generalization terms in 103,753 calls.
% 22.50/22.69  ; Retrieved 125,927 instance terms in 50,162 calls.
% 22.50/22.69  ; Retrieved 31,436,610 unifiable terms in 59,191 calls.
% 22.50/22.69  ; 
% 22.50/22.69  ; The agenda of rows to process has 1184 entries:
% 22.50/22.69  ;    32 with value 22            320 with value 25               8 with value 31
% 22.50/22.69  ;    64 with value 23            472 with value 26              16 with value 33
% 22.50/22.69  ;   272 with value 24
% 22.50/22.69  ; The agenda of rows to give has 49927 entries:
% 22.50/22.69  ;    56 with value (4 14)       4928 with value (4 22)         204 with value (4 29)
% 22.50/22.69  ;   173 with value (4 15)       7756 with value (4 23)         224 with value (4 30)
% 22.50/22.69  ;   363 with value (4 16)      10465 with value (4 24)         504 with value (4 31)
% 22.50/22.69  ;   598 with value (4 17)       9248 with value (4 25)         272 with value (4 32)
% 22.50/22.69  ;   966 with value (4 18)       6754 with value (4 26)         450 with value (4 33)
% 22.50/22.69  ;  1410 with value (4 19)         40 with value (4 27)          10 with value (4 35)
% 22.50/22.69  ;  2098 with value (4 20)         76 with value (4 28)           6 with value (4 36)
% 22.50/22.69  ;  3326 with value (4 21)
% 22.50/22.69  Evaluation took:
% 22.50/22.69    22.206 seconds of real time
% 22.50/22.69    21.295296 seconds of user run time
% 22.50/22.69    0.910035 seconds of system run time
% 22.50/22.69    [Run times include 3.732 seconds GC run time.]
% 22.50/22.69    0 calls to %EVAL
% 22.50/22.69    0 page faults and
% 22.50/22.69    950,049,616 bytes consed.
% 22.50/22.69  :PROOF-FOUND
% 22.50/22.69  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T17:59:47
% 22.50/22.69  :PROOF-FOUND
% 22.50/22.69  * 
%------------------------------------------------------------------------------