TSTP Solution File: SEU148+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU148+3 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 14:19:31 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;   9 RR)
%            Number of literals    :   16 (   9 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   10 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != singleton(Y)
    | ~ in(Z,X)
    | Z = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

cnf(3,axiom,
    ( X != singleton(Y)
    | in(Z,X)
    | Z != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

cnf(7,axiom,
    singleton(X) != empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).

cnf(8,axiom,
    ( ~ subset(X,singleton(Y))
    | X = empty_set
    | X = singleton(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).

cnf(14,negated_conjecture,
    subset(singleton('SKOLEMAAAV4'),singleton('SKOLEMAAAV5')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).

cnf(15,negated_conjecture,
    'SKOLEMAAAV4' != 'SKOLEMAAAV5',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).

cnf(17,plain,
    ~ in('SKOLEMAAAV4',singleton('SKOLEMAAAV5')),
    inference('UR-RESOLVE',[status(thm)],[2,15,theory(equality)]) ).

cnf(21,plain,
    in(X,singleton(X)),
    inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).

cnf(22,plain,
    singleton('SKOLEMAAAV4') = singleton('SKOLEMAAAV5'),
    inference('UR-RESOLVE',[status(thm)],[8,14,7]) ).

cnf(23,plain,
    $false,
    inference('REWRITE',[status(thm)],[17,21,22,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU148+3 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.11/0.33  % Computer : n019.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jun 19 12:54:39 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:54:39
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-19T12:54:39
% 0.18/0.49  
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        31 formulas have been input or derived (from 14 formulas).
% 0.18/0.49  ;        23 (74%) were retained.  Of these,
% 0.18/0.49  ;            2 ( 9%) were simplified or subsumed later,
% 0.18/0.49  ;           21 (91%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.002   7%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.001   4%   Assert                       (9 calls)
% 0.18/0.49  ;     0.000   0%   Process new row              (25 calls)
% 0.18/0.49  ;     0.000   0%   Resolution                   (26 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (13 calls)
% 0.18/0.49  ;     0.001   4%   Condensing                   (8 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (8 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (8 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (25 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (23 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (7 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.023  85%   Other
% 0.18/0.49  ;     0.027        Total
% 0.18/0.49  ;     0.030        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 30 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.18/0.49  ;  Retrieved 0 possibly forward subsuming rows in 8 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.18/0.49  ; Path-index has 33 entries (35 at peak, 35 added, 2 deleted).
% 0.18/0.49  ; Path-index has 65 nodes (69 at peak, 69 added, 4 deleted).
% 0.18/0.49  ; Trie-index has 33 entries (35 at peak, 35 added, 2 deleted).
% 0.18/0.49  ; Trie-index has 66 nodes (73 at peak, 73 added, 7 deleted).
% 0.18/0.49  ; Retrieved 5 generalization terms in 18 calls.
% 0.18/0.49  ; Retrieved 19 instance terms in 14 calls.
% 0.18/0.49  ; Retrieved 157 unifiable terms in 68 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 3 entries:
% 0.18/0.49  ;     1 with value 8               2 with value 14
% 0.18/0.49  ; The agenda of input rows to give has 2 entries:
% 0.18/0.49  ;     2 with value 20
% 0.18/0.49  ; The agenda of rows to give has 6 entries:
% 0.18/0.49  ;     3 with value (4 7)           2 with value (4 8)            1 with value (4 9)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.03 seconds of real time
% 0.18/0.49    0.028145 seconds of user run time
% 0.18/0.49    0.00223 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    1,866,536 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:54:39
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------