TSTP Solution File: SYN939+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 12:08:24 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (   4 unt;   4 nHn;   5 RR)
%            Number of literals    :   26 (   0 equ;  12 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   12 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,negated_conjecture,
    q(f(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(2,negated_conjecture,
    ( p(f(X))
    | r(X)
    | ~ q(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(3,negated_conjecture,
    ( p(f(X))
    | ~ r('SKOLEMAAAV2')
    | ~ r('SKOLEMAAAV1')
    | ~ q(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(4,negated_conjecture,
    ( ~ p(X)
    | r(Y)
    | ~ q(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(5,negated_conjecture,
    ( ~ p(X)
    | ~ r('SKOLEMAAAV2')
    | ~ r('SKOLEMAAAV1')
    | ~ q(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(6,plain,
    ( p(f(X))
    | r(X) ),
    inference('HYPERRESOLVE',[status(thm)],[2,1]) ).

cnf(7,plain,
    ( p(f('SKOLEMAAAV2'))
    | p(f('SKOLEMAAAV1')) ),
    inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[3,6,6,1])]) ).

cnf(8,plain,
    ( p(f('SKOLEMAAAV1'))
    | r(X) ),
    inference('HYPERRESOLVE',[status(thm)],[4,7,1]) ).

cnf(9,plain,
    p(f('SKOLEMAAAV1')),
    inference('HYPERRESOLVE',[status(thm)],[5,8,7,8,1]) ).

cnf(10,plain,
    r(X),
    inference('HYPERRESOLVE',[status(thm)],[4,9,1]) ).

cnf(12,plain,
    ( ~ p(X)
    | ~ q(X) ),
    inference('REWRITE',[status(thm)],[5,10]) ).

cnf(13,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[12,9,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 06:00:07 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T06:00:07
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-12T06:00:07
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        27 formulas have been input or derived (from 11 formulas).
% 0.20/0.50  ;        13 (48%) were retained.  Of these,
% 0.20/0.50  ;            7 (54%) were simplified or subsumed later,
% 0.20/0.50  ;            6 (46%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   4%   Assert                       (1 call)
% 0.20/0.50  ;     0.000   0%   Process new row              (19 calls)
% 0.20/0.50  ;     0.002   7%   Resolution                   (20 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (10 calls)
% 0.20/0.50  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (10 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.20/0.50  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.20/0.50  ;     0.000   0%   Forward simplification       (14 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (13 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (7 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.023  85%   Other
% 0.20/0.50  ;     0.027        Total
% 0.20/0.50  ;     0.028        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 14 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 2 entries (6 at peak, 9 added, 7 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 5 nodes (30 at peak, 36 added, 31 deleted).
% 0.20/0.50  ;  Retrieved 2 possibly forward subsuming rows in 10 calls.
% 0.20/0.50  ;  Retrieved 1 possibly backward subsumed row in 9 calls.
% 0.20/0.50  ; Path-index has 10 entries (16 at peak, 21 added, 11 deleted).
% 0.20/0.50  ; Path-index has 16 nodes (21 at peak, 24 added, 8 deleted).
% 0.20/0.50  ; Trie-index has 10 entries (16 at peak, 21 added, 11 deleted).
% 0.20/0.50  ; Trie-index has 16 nodes (21 at peak, 24 added, 8 deleted).
% 0.20/0.50  ; Retrieved 2 generalization terms in 10 calls.
% 0.20/0.50  ; Retrieved 5 instance terms in 3 calls.
% 0.20/0.50  ; Retrieved 95 unifiable terms in 73 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to process has 2 entries:
% 0.20/0.50  ;     1 with value 6               1 with value 10
% 0.20/0.50  ; The agenda of input rows to give has 1 entry:
% 0.20/0.50  ;     1 with value 8
% 0.20/0.50  ; The agenda of rows to give has 1 entry:
% 0.20/0.50  ;     1 with value (4 8)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.028 seconds of real time
% 0.20/0.50    0.023404 seconds of user run time
% 0.20/0.50    0.005247 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    2,010,584 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T06:00:07
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------