TSTP Solution File: SYN940+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN940+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   4 unt;   0 nHn;   3 RR)
%            Number of literals    :   15 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 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   :    9 (   6 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))
    | ~ q(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

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

cnf(4,negated_conjecture,
    ( ~ p(X)
    | ~ r('SKOLEMAAAV1')
    | ~ r('SKOLEMAAAV2')
    | ~ q(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(5,plain,
    p(f(X)),
    inference('HYPERRESOLVE',[status(thm)],[2,1]) ).

cnf(6,plain,
    r(X),
    inference('HYPERRESOLVE',[status(thm)],[3,5,1]) ).

cnf(7,plain,
    ( ~ p(X)
    | ~ q(X) ),
    inference('REWRITE',[status(thm)],[4,6]) ).

cnf(8,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[7,5,1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SYN940+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.13/0.32  % Computer : n020.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Tue Jul 12 06:30:12 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.18/0.43  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  * 
% 0.18/0.44  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T06:30:13
% 0.18/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-12T06:30:13
% 0.18/0.47  
% 0.18/0.47  
% 0.18/0.47  #||
% 0.18/0.47  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47  % SZS output start Refutation
% See solution above
% 0.18/0.47  ||#
% 0.18/0.47  
% 0.18/0.47  ; Summary of computation:
% 0.18/0.47  ;        13 formulas have been input or derived (from 7 formulas).
% 0.18/0.47  ;         8 (62%) were retained.  Of these,
% 0.18/0.47  ;            3 (38%) were simplified or subsumed later,
% 0.18/0.47  ;            5 (62%) are still being kept.
% 0.18/0.47  ; 
% 0.18/0.47  ; Run time in seconds excluding printing time:
% 0.18/0.47  ;     0.001   4%   Read assertion file          (1 call)
% 0.18/0.47  ;     0.001   4%   Assert                       (1 call)
% 0.18/0.47  ;     0.000   0%   Process new row              (8 calls)
% 0.18/0.47  ;     0.000   0%   Resolution                   (12 calls)
% 0.18/0.47  ;     0.000   0%   Paramodulation               (6 calls)
% 0.18/0.47  ;     0.000   0%   Condensing                   (4 calls)
% 0.18/0.47  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.18/0.47  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.18/0.47  ;     0.000   0%   Forward simplification       (8 calls)
% 0.18/0.47  ;     0.001   4%   Backward simplification      (8 calls)
% 0.18/0.47  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.47  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.47  ;     0.022  88%   Other
% 0.18/0.47  ;     0.025        Total
% 0.18/0.47  ;     0.026        Real time
% 0.18/0.47  ; 
% 0.18/0.47  ; Term-hash-array has 10 terms in all.
% 0.18/0.47  ; Feature-vector-row-index has 1 entry (3 at peak, 4 added, 3 deleted).
% 0.18/0.47  ; Feature-vector-row-index has 3 nodes (13 at peak, 15 added, 12 deleted).
% 0.18/0.48  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.18/0.48  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.18/0.48  ; Path-index has 7 entries (11 at peak, 15 added, 8 deleted).
% 0.18/0.48  ; Path-index has 14 nodes (17 at peak, 20 added, 6 deleted).
% 0.18/0.48  ; Trie-index has 7 entries (11 at peak, 15 added, 8 deleted).
% 0.18/0.48  ; Trie-index has 14 nodes (17 at peak, 20 added, 6 deleted).
% 0.18/0.48  ; Retrieved 1 generalization term in 6 calls.
% 0.18/0.48  ; Retrieved 5 instance terms in 3 calls.
% 0.18/0.48  ; Retrieved 31 unifiable terms in 30 calls.
% 0.18/0.48  ; 
% 0.18/0.48  ; The agenda of rows to process has 2 entries:
% 0.18/0.48  ;     1 with value 6               1 with value 7
% 0.18/0.48  ; The agenda of rows to give has 1 entry:
% 0.18/0.48  ;     1 with value (4 5)
% 0.18/0.48  Evaluation took:
% 0.18/0.48    0.027 seconds of real time
% 0.18/0.48    0.021401 seconds of user run time
% 0.18/0.48    0.005244 seconds of system run time
% 0.18/0.48    0 calls to %EVAL
% 0.18/0.48    0 page faults and
% 0.18/0.48    1,588,912 bytes consed.
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T06:30:13
% 0.18/0.48  :PROOF-FOUND
% 0.18/0.48  * 
%------------------------------------------------------------------------------