TSTP Solution File: SYN325-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN325-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 11:59:17 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   1 nHn;   3 RR)
%            Number of literals    :    8 (   0 equ;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
    ( f(X,X)
    | g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(clause4,negated_conjecture,
    ( ~ f(y(X),y(X))
    | g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

cnf(clause5,negated_conjecture,
    ~ g(y(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(6,plain,
    f(y(X),y(X)),
    inference('UR-RESOLVE',[status(thm)],[clause2,clause5]) ).

cnf(8,plain,
    g(X),
    inference('REWRITE',[status(thm)],[clause4,6]) ).

cnf(9,plain,
    $false,
    inference('REWRITE',[status(thm)],[clause5,8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN325-1 : TPTP v8.1.0. Released v1.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n023.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 : Tue Jul 12 04:21:24 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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 2022-07-12T04:21:24
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-12T04:21:24
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;         9 formulas have been input or derived (from 3 formulas).
% 0.19/0.49  ;         9 (100%) were retained.  Of these,
% 0.19/0.49  ;            5 (56%) were simplified or subsumed later,
% 0.19/0.49  ;            4 (44%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.001   5%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.000   0%   Assert                       (5 calls)
% 0.19/0.49  ;     0.000   0%   Process new row              (9 calls)
% 0.19/0.49  ;     0.000   0%   Resolution                   (4 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (2 calls)
% 0.19/0.49  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.49  ;     0.000   0%   Condensing                   (4 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (9 calls)
% 0.19/0.49  ;     0.001   5%   Backward simplification      (9 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (1 call)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.018  90%   Other
% 0.19/0.49  ;     0.020        Total
% 0.19/0.49  ;     0.021        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 6 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 0 entries (4 at peak, 4 added, 4 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 1 node (13 at peak, 13 added, 12 deleted).
% 0.19/0.49  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.19/0.49  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.19/0.49  ; Path-index has 4 entries (6 at peak, 6 added, 2 deleted).
% 0.19/0.49  ; Path-index has 14 nodes (16 at peak, 16 added, 2 deleted).
% 0.19/0.49  ; Trie-index has 4 entries (6 at peak, 6 added, 2 deleted).
% 0.19/0.49  ; Trie-index has 13 nodes (16 at peak, 16 added, 3 deleted).
% 0.19/0.49  ; Retrieved 0 generalization terms in 2 calls.
% 0.19/0.49  ; Retrieved 6 instance terms in 4 calls.
% 0.19/0.49  ; Retrieved 6 unifiable terms in 7 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of input rows to give has 2 entries:
% 0.19/0.49  ;     1 with value 3               1 with value 6
% 0.19/0.49  ; The agenda of rows to give has 1 entry:
% 0.19/0.49  ;     1 with value (4 8)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.021 seconds of real time
% 0.19/0.49    0.016872 seconds of user run time
% 0.19/0.49    0.004596 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    1,453,312 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T04:21:24
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------