TSTP Solution File: SYN002-1.007.008 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% 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 11:56:19 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   12 (   2 unt;   9 nHn;   2 RR)
%            Number of literals    :   22 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :   10 (   4 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   11 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(positive,negated_conjecture,
    ( p(X)
    | p(f(f(f(f(f(f(f(X)))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',positive) ).

cnf(negative,negated_conjecture,
    ( ~ p(X)
    | ~ p(f(f(f(f(f(f(f(f(X))))))))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',negative) ).

cnf(3,plain,
    ( p(X)
    | p(f(f(f(f(f(f(f(f(X))))))))) ),
    inference('HYPERRESOLVE',[status(thm)],[negative,positive,positive]) ).

cnf(4,plain,
    ( p(X)
    | p(f(f(f(f(f(f(f(f(f(X)))))))))) ),
    inference('HYPERRESOLVE',[status(thm)],[negative,3,positive]) ).

cnf(5,plain,
    ( p(f(f(f(f(f(f(X)))))))
    | p(X) ),
    inference('HYPERRESOLVE',[status(thm)],[negative,4,positive]) ).

cnf(7,plain,
    ( p(X)
    | p(f(f(f(f(f(X)))))) ),
    inference('HYPERRESOLVE',[status(thm)],[negative,5,4]) ).

cnf(9,plain,
    ( p(X)
    | p(f(f(f(f(X))))) ),
    inference('HYPERRESOLVE',[status(thm)],[negative,7,4]) ).

cnf(11,plain,
    ( p(X)
    | p(f(f(f(X)))) ),
    inference('HYPERRESOLVE',[status(thm)],[negative,9,4]) ).

cnf(13,plain,
    ( p(X)
    | p(f(f(X))) ),
    inference('HYPERRESOLVE',[status(thm)],[negative,11,4]) ).

cnf(15,plain,
    ( p(X)
    | p(f(X)) ),
    inference('HYPERRESOLVE',[status(thm)],[negative,13,4]) ).

cnf(17,plain,
    p(X),
    inference('HYPERRESOLVE',[status(thm)],[negative,15,4]) ).

cnf(18,plain,
    $false,
    inference('REWRITE',[status(thm)],[negative,17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN002-1.007.008 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 23:25:13 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:25:13
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-11T23:25:13
% 0.19/0.51  
% 0.19/0.51  
% 0.19/0.51  #||
% 0.19/0.51  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51  % SZS output start Refutation
% See solution above
% 0.19/0.51  ||#
% 0.19/0.51  
% 0.19/0.51  ; Summary of computation:
% 0.19/0.51  ;        92 formulas have been input or derived (from 11 formulas).
% 0.19/0.51  ;        18 (20%) were retained.  Of these,
% 0.19/0.51  ;           16 (89%) were simplified or subsumed later,
% 0.19/0.51  ;            2 (11%) are still being kept.
% 0.19/0.51  ; 
% 0.19/0.51  ; Run time in seconds excluding printing time:
% 0.19/0.51  ;     0.001   3%   Read assertion file          (1 call)
% 0.19/0.51  ;     0.000   0%   Assert                       (2 calls)
% 0.19/0.51  ;     0.002   6%   Process new row              (75 calls)
% 0.19/0.51  ;     0.004  12%   Resolution                   (20 calls)
% 0.19/0.51  ;     0.000   0%   Paramodulation               (10 calls)
% 0.19/0.51  ;     0.000   0%   Factoring                    (9 calls)
% 0.19/0.51  ;     0.000   0%   Condensing                   (73 calls)
% 0.19/0.51  ;     0.004  12%   Forward subsumption          (73 calls)
% 0.19/0.51  ;     0.001   3%   Backward subsumption         (16 calls)
% 0.19/0.51  ;     0.001   3%   Clause clause subsumption    (162 calls)
% 0.19/0.51  ;     0.000   0%   Forward simplification       (75 calls)
% 0.19/0.51  ;     0.001   3%   Backward simplification      (18 calls)
% 0.19/0.51  ;     0.000   0%   Ordering                     (24 calls)
% 0.19/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.51  ;     0.020  59%   Other
% 0.19/0.51  ;     0.034        Total
% 0.19/0.51  ;     0.036        Real time
% 0.19/0.51  ; 
% 0.19/0.51  ; Term-hash-array has 31 terms in all.
% 0.19/0.51  ; Feature-vector-row-index has 0 entries (16 at peak, 16 added, 16 deleted).
% 0.19/0.51  ; Feature-vector-row-index has 1 node (49 at peak, 49 added, 48 deleted).
% 0.19/0.51  ;  Retrieved 394 possibly forward subsuming rows in 73 calls.
% 0.19/0.51  ;  Retrieved 48 possibly backward subsumed rows in 16 calls.
% 0.19/0.51  ; Path-index has 1 entry (31 at peak, 31 added, 30 deleted).
% 0.19/0.51  ; Path-index has 33 nodes (63 at peak, 63 added, 30 deleted).
% 0.19/0.51  ; Trie-index has 1 entry (31 at peak, 31 added, 30 deleted).
% 0.19/0.51  ; Trie-index has 3 nodes (63 at peak, 63 added, 60 deleted).
% 0.19/0.51  ; Retrieved 1 generalization term in 1 call.
% 0.19/0.51  ; Retrieved 1 instance term in 1 call.
% 0.19/0.51  ; Retrieved 208 unifiable terms in 100 calls.
% 0.19/0.51  ; 
% 0.19/0.51  ; The agenda of rows to process has 17 entries:
% 0.19/0.51  ;     1 with value 17              1 with value 29               1 with value 39
% 0.19/0.51  ;     1 with value 19              2 with value 31               1 with value 41
% 0.19/0.51  ;     1 with value 21              1 with value 33               1 with value 43
% 0.19/0.51  ;     1 with value 23              1 with value 35               1 with value 45
% 0.19/0.51  ;     1 with value 25              1 with value 37               1 with value 47
% 0.19/0.51  ;     1 with value 27
% 0.19/0.51  ; The agenda of rows to give has 1 entry:
% 0.19/0.51  ;     1 with value (4 12)
% 0.19/0.51  Evaluation took:
% 0.19/0.51    0.037 seconds of real time
% 0.19/0.51    0.03064 seconds of user run time
% 0.19/0.51    0.006038 seconds of system run time
% 0.19/0.51    0 calls to %EVAL
% 0.19/0.51    0 page faults and
% 0.19/0.51    2,804,720 bytes consed.
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:25:13
% 0.19/0.51  :PROOF-FOUND
% 0.19/0.51  * 
%------------------------------------------------------------------------------