TSTP Solution File: SYN066-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN066-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 11:57:15 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   7 RR)
%            Number of literals    :   12 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   16 (   9 sgn)

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

cnf(clause_2,axiom,
    big_p(f(X,Y),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_3,axiom,
    ( ~ big_p(f(X,Y),g(X))
    | big_q(h(X,Y),g(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_5,axiom,
    ( ~ big_q(X,Y)
    | big_r(Z,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).

cnf(clause_6,negated_conjecture,
    ~ big_r(a,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).

cnf(7,plain,
    ~ big_q(X,Y),
    inference('UR-RESOLVE',[status(thm)],[clause_5,clause_6]) ).

cnf(8,plain,
    ~ big_p(f(X,Y),g(X)),
    inference('REWRITE',[status(thm)],[clause_3,7]) ).

cnf(9,plain,
    ~ big_p(X,Y),
    inference('REWRITE',[status(thm)],[clause_1,8]) ).

cnf(10,plain,
    $false,
    inference('REWRITE',[status(thm)],[clause_2,9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN066-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 00:03:23 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:03:23
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-12T00:03:23
% 0.20/0.48  
% 0.20/0.48  
% 0.20/0.48  #||
% 0.20/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  ||#
% 0.20/0.49  
% 0.20/0.49  ; Summary of computation:
% 0.20/0.49  ;        11 formulas have been input or derived (from 4 formulas).
% 0.20/0.49  ;        10 (91%) were retained.  Of these,
% 0.20/0.49  ;            6 (60%) were simplified or subsumed later,
% 0.20/0.49  ;            4 (40%) are still being kept.
% 0.20/0.49  ; 
% 0.20/0.49  ; Run time in seconds excluding printing time:
% 0.20/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.20/0.49  ;     0.000   0%   Assert                       (6 calls)
% 0.20/0.49  ;     0.001   4%   Process new row              (10 calls)
% 0.20/0.49  ;     0.000   0%   Resolution                   (6 calls)
% 0.20/0.49  ;     0.000   0%   Paramodulation               (3 calls)
% 0.20/0.49  ;     0.000   0%   Condensing                   (4 calls)
% 0.20/0.49  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.20/0.49  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.20/0.49  ;     0.000   0%   Forward simplification       (10 calls)
% 0.20/0.49  ;     0.000   0%   Backward simplification      (10 calls)
% 0.20/0.49  ;     0.000   0%   Ordering                     (2 calls)
% 0.20/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.49  ;     0.021  88%   Other
% 0.20/0.49  ;     0.024        Total
% 0.20/0.49  ;     0.026        Real time
% 0.20/0.49  ; 
% 0.20/0.49  ; Term-hash-array has 15 terms in all.
% 0.20/0.49  ; Feature-vector-row-index has 0 entries (4 at peak, 4 added, 4 deleted).
% 0.20/0.49  ; Feature-vector-row-index has 1 node (15 at peak, 15 added, 14 deleted).
% 0.20/0.49  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.20/0.49  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.20/0.49  ; Path-index has 4 entries (16 at peak, 19 added, 15 deleted).
% 0.20/0.49  ; Path-index has 38 nodes (54 at peak, 55 added, 17 deleted).
% 0.20/0.49  ; Trie-index has 4 entries (16 at peak, 19 added, 15 deleted).
% 0.20/0.49  ; Trie-index has 11 nodes (39 at peak, 41 added, 30 deleted).
% 0.20/0.49  ; Retrieved 2 generalization terms in 4 calls.
% 0.20/0.49  ; Retrieved 11 instance terms in 5 calls.
% 0.20/0.49  ; Retrieved 14 unifiable terms in 11 calls.
% 0.20/0.49  ; 
% 0.20/0.49  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.20/0.49  ;     1 with value 0
% 0.20/0.49  ; The agenda of input rows to give has 1 entry:
% 0.20/0.49  ;     1 with value 4
% 0.20/0.49  ; The agenda of rows to give has 1 entry:
% 0.20/0.49  ;     1 with value (4 5)
% 0.20/0.49  Evaluation took:
% 0.20/0.49    0.027 seconds of real time
% 0.20/0.49    0.020874 seconds of user run time
% 0.20/0.49    0.00606 seconds of system run time
% 0.20/0.49    0 calls to %EVAL
% 0.20/0.49    0 page faults and
% 0.20/0.49    1,690,136 bytes consed.
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T00:03:23
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  * 
%------------------------------------------------------------------------------