TSTP Solution File: SYN012-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 11:56:31 EDT 2022

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   16 (   4 unt;   7 nHn;   7 RR)
%            Number of literals    :   31 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   30 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
    ( ~ big_f(X,Y)
    | ~ big_f(X,g(X,Y))
    | big_g(Y,g(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_2,negated_conjecture,
    ( ~ big_f(X,Y)
    | big_f(X,g(X,Y))
    | ~ big_g(Y,g(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_3,negated_conjecture,
    ( ~ big_f(X,Y)
    | ~ big_f(g(X,Y),g(X,Y))
    | big_g(g(X,Y),g(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_4,negated_conjecture,
    ( big_f(X,Y)
    | big_f(g(X,Y),g(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(clause_5,negated_conjecture,
    ( big_f(X,Y)
    | ~ big_g(g(X,Y),g(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_6,negated_conjecture,
    ( big_g(X,Y)
    | big_g(g(X,Y),g(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(clause_7,negated_conjecture,
    ( ~ big_g(X,Y)
    | ~ big_g(g(X,Y),g(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).

cnf(8,plain,
    ( big_g(X,Y)
    | big_f(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_5,clause_6]) ).

cnf(9,plain,
    ( big_f(g(X,Y),g(g(X,Y),g(X,Y)))
    | big_f(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_2,8,clause_4]) ).

cnf(11,plain,
    ( big_f(X,Y)
    | big_g(g(X,Y),g(g(X,Y),g(X,Y))) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_1,9,clause_4]) ).

cnf(13,plain,
    ( big_f(X,Y)
    | big_f(g(g(X,Y),g(g(X,Y),g(X,Y))),g(g(X,Y),g(g(X,Y),g(X,Y)))) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_7,11,8]) ).

cnf(18,plain,
    ( big_f(X,Y)
    | big_g(g(g(X,Y),g(g(X,Y),g(X,Y))),g(g(X,Y),g(g(X,Y),g(X,Y)))) ),
    inference('HYPERRESOLVE',[status(thm)],[clause_3,13,9]) ).

cnf(20,plain,
    big_f(X,Y),
    inference('HYPERRESOLVE',[status(thm)],[clause_7,18,11]) ).

cnf(22,plain,
    big_g(g(X,Y),g(X,Y)),
    inference('REWRITE',[status(thm)],[clause_3,20]) ).

cnf(23,plain,
    ~ big_g(X,Y),
    inference('REWRITE',[status(thm)],[clause_7,22]) ).

cnf(24,plain,
    $false,
    inference('REWRITE',[status(thm)],[22,23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN012-1 : TPTP v8.1.0. Released v1.1.0.
% 0.04/0.14  % Command  : run-snark %s %d
% 0.13/0.36  % Computer : n024.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Tue Jul 12 01:16:28 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 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 2022-07-12T01:16:28
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-12T01:16:28
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;        51 formulas have been input or derived (from 14 formulas).
% 0.21/0.53  ;        24 (47%) were retained.  Of these,
% 0.21/0.53  ;           21 (88%) were simplified or subsumed later,
% 0.21/0.53  ;            3 (12%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.002   6%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.000   0%   Assert                       (7 calls)
% 0.21/0.53  ;     0.002   6%   Process new row              (44 calls)
% 0.21/0.53  ;     0.002   6%   Resolution                   (26 calls)
% 0.21/0.53  ;     0.000   0%   Paramodulation               (13 calls)
% 0.21/0.53  ;     0.000   0%   Factoring                    (8 calls)
% 0.21/0.53  ;     0.002   6%   Condensing                   (38 calls)
% 0.21/0.53  ;     0.003   8%   Forward subsumption          (38 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.21/0.53  ;     0.000   0%   Clause clause subsumption    (74 calls)
% 0.21/0.53  ;     0.000   0%   Forward simplification       (44 calls)
% 0.21/0.53  ;     0.001   3%   Backward simplification      (24 calls)
% 0.21/0.53  ;     0.001   3%   Ordering                     (23 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.023  64%   Other
% 0.21/0.53  ;     0.036        Total
% 0.21/0.53  ;     0.039        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 29 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 0 entries (19 at peak, 19 added, 19 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 1 node (61 at peak, 61 added, 60 deleted).
% 0.21/0.53  ;  Retrieved 101 possibly forward subsuming rows in 38 calls.
% 0.21/0.53  ;  Retrieved 6 possibly backward subsumed rows in 19 calls.
% 0.21/0.53  ; Path-index has 2 entries (27 at peak, 30 added, 28 deleted).
% 0.21/0.53  ; Path-index has 248 nodes (404 at peak, 405 added, 157 deleted).
% 0.21/0.53  ; Trie-index has 2 entries (27 at peak, 30 added, 28 deleted).
% 0.21/0.53  ; Trie-index has 7 nodes (503 at peak, 507 added, 500 deleted).
% 0.21/0.53  ; Retrieved 5 generalization terms in 6 calls.
% 0.21/0.53  ; Retrieved 9 instance terms in 4 calls.
% 0.21/0.53  ; Retrieved 233 unifiable terms in 78 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to process has 4 entries:
% 0.21/0.53  ;     1 with value 24              1 with value 62               1 with value 208
% 0.21/0.53  ;     1 with value 37
% 0.21/0.53  ; The agenda of input rows to give has 1 entry:
% 0.21/0.53  ;     1 with value 4
% 0.21/0.53  ; The agenda of rows to give has 1 entry:
% 0.21/0.53  ;     1 with value (4 10)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.039 seconds of real time
% 0.21/0.53    0.034549 seconds of user run time
% 0.21/0.53    0.004922 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    3,115,568 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:16:28
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------