TSTP Solution File: SYN101-1.002.002 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n026.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 11:57:37 EDT 2022

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(n_s2_goal_1,negated_conjecture,
    ~ p_1_2(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_goal_1) ).

cnf(n_s2_type11_1,axiom,
    ( p_1_2(X,Y)
    | ~ p_2_2(X,Y)
    | ~ p_1_1(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type11_1) ).

cnf(n_t2_1,axiom,
    ( p_1_1(X,Y)
    | ~ nq_1(X)
    | ~ nq_2(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_1) ).

cnf(n_t2_3,axiom,
    ( p_2_2(X,Y)
    | ~ nq_1(X)
    | ~ nq_2(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_3) ).

cnf(n_1,axiom,
    nq_1(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).

cnf(n_3,axiom,
    nq_2(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).

cnf(21,plain,
    p_1_1(a,a),
    inference('HYPERRESOLVE',[status(thm)],[n_t2_1,n_1,n_3]) ).

cnf(29,plain,
    p_2_2(a,a),
    inference('HYPERRESOLVE',[status(thm)],[n_t2_3,n_1,n_3]) ).

cnf(34,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[n_s2_type11_1,21,n_s2_goal_1]),29]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN101-1.002.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Tue Jul 12 05:59:42 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.50  #<PACKAGE "SNARK-USER">
% 0.21/0.50  * 
% 0.21/0.50  SNARK-TPTP-OPTIONS
% 0.21/0.50  * 
% 0.21/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50   (USE-FACTORING :POS)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50  * 
% 0.21/0.50  "."
% 0.21/0.50  * 
% 0.21/0.50  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T05:59:43
% 0.21/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-12T05:59:43
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  #||
% 0.21/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53  % SZS output start Refutation
% See solution above
% 0.21/0.53  ||#
% 0.21/0.53  
% 0.21/0.53  ; Summary of computation:
% 0.21/0.53  ;        50 formulas have been input or derived (from 22 formulas).
% 0.21/0.53  ;        34 (68%) were retained.  Of these,
% 0.21/0.53  ;           34 (100%) are still being kept.
% 0.21/0.53  ; 
% 0.21/0.53  ; Run time in seconds excluding printing time:
% 0.21/0.53  ;     0.003  10%   Read assertion file          (1 call)
% 0.21/0.53  ;     0.001   3%   Assert                       (17 calls)
% 0.21/0.53  ;     0.000   0%   Process new row              (50 calls)
% 0.21/0.53  ;     0.000   0%   Resolution                   (42 calls)
% 0.21/0.53  ;     0.000   0%   Paramodulation               (21 calls)
% 0.21/0.53  ;     0.001   3%   Condensing                   (12 calls)
% 0.21/0.53  ;     0.000   0%   Forward subsumption          (12 calls)
% 0.21/0.53  ;     0.000   0%   Backward subsumption         (12 calls)
% 0.21/0.53  ;     0.000   0%   Forward simplification       (50 calls)
% 0.21/0.53  ;     0.000   0%   Backward simplification      (34 calls)
% 0.21/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.53  ;     0.026  84%   Other
% 0.21/0.53  ;     0.031        Total
% 0.21/0.53  ;     0.032        Real time
% 0.21/0.53  ; 
% 0.21/0.53  ; Term-hash-array has 29 terms in all.
% 0.21/0.53  ; Feature-vector-row-index has 12 entries (12 at peak, 12 added, 0 deleted).
% 0.21/0.53  ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.21/0.53  ;  Retrieved 0 possibly forward subsuming rows in 12 calls.
% 0.21/0.53  ;  Retrieved 0 possibly backward subsumed rows in 12 calls.
% 0.21/0.53  ; Path-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.21/0.53  ; Path-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.21/0.53  ; Trie-index has 55 nodes (55 at peak, 55 added, 0 deleted).
% 0.21/0.53  ; Retrieved 17 generalization terms in 35 calls.
% 0.21/0.53  ; Retrieved 21 instance terms in 21 calls.
% 0.21/0.53  ; Retrieved 188 unifiable terms in 119 calls.
% 0.21/0.53  ; 
% 0.21/0.53  ; The agenda of rows to give has 12 entries:
% 0.21/0.53  ;    12 with value (4 5)
% 0.21/0.53  Evaluation took:
% 0.21/0.53    0.032 seconds of real time
% 0.21/0.53    0.029017 seconds of user run time
% 0.21/0.53    0.003809 seconds of system run time
% 0.21/0.53    0 calls to %EVAL
% 0.21/0.53    0 page faults and
% 0.21/0.53    1,805,832 bytes consed.
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T05:59:43
% 0.21/0.53  :PROOF-FOUND
% 0.21/0.53  * 
%------------------------------------------------------------------------------