TSTP Solution File: SET705+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET705+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n003.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 05:11:40 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   4 unt;   1 nHn;   6 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( subset(X,Y)
    | member('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(3,axiom,
    ( subset(X,Y)
    | ~ member('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(8,axiom,
    ( member(X,power_set(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',power_set) ).

cnf(30,negated_conjecture,
    ~ member('SKOLEMAAAV4',power_set('SKOLEMAAAV4')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI48) ).

cnf(31,plain,
    ~ subset('SKOLEMAAAV4','SKOLEMAAAV4'),
    inference('UR-RESOLVE',[status(thm)],[8,30]) ).

cnf(67,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV4'),'SKOLEMAAAV4'),
    inference('HYPERRESOLVE',[status(thm)],[31,2]) ).

cnf(68,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[3,31]),67]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET705+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jul  9 23:07:59 EDT 2022
% 0.12/0.33  % 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 2022-07-09T23:07:59
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-09T23:07:59
% 0.18/0.50  
% 0.18/0.50  
% 0.18/0.50  #||
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation
% See solution above
% 0.18/0.50  ||#
% 0.18/0.50  
% 0.18/0.50  ; Summary of computation:
% 0.18/0.50  ;        75 formulas have been input or derived (from 32 formulas).
% 0.18/0.50  ;        68 (91%) were retained.  Of these,
% 0.18/0.50  ;           68 (100%) are still being kept.
% 0.18/0.50  ; 
% 0.18/0.50  ; Run time in seconds excluding printing time:
% 0.18/0.50  ;     0.003   8%   Read assertion file          (1 call)
% 0.18/0.50  ;     0.000   0%   Assert                       (12 calls)
% 0.18/0.50  ;     0.006  16%   Process new row              (70 calls)
% 0.18/0.50  ;     0.002   5%   Resolution                   (62 calls)
% 0.18/0.50  ;     0.000   0%   Paramodulation               (31 calls)
% 0.18/0.50  ;     0.000   0%   Factoring                    (2 calls)
% 0.18/0.50  ;     0.000   0%   Condensing                   (46 calls)
% 0.18/0.50  ;     0.001   3%   Forward subsumption          (46 calls)
% 0.18/0.50  ;     0.000   0%   Backward subsumption         (46 calls)
% 0.18/0.50  ;     0.000   0%   Clause clause subsumption    (27 calls)
% 0.18/0.50  ;     0.001   3%   Forward simplification       (70 calls)
% 0.18/0.50  ;     0.000   0%   Backward simplification      (68 calls)
% 0.18/0.50  ;     0.000   0%   Ordering                     (52 calls)
% 0.18/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.50  ;     0.025  66%   Other
% 0.18/0.50  ;     0.038        Total
% 0.18/0.50  ;     0.040        Real time
% 0.18/0.50  ; 
% 0.18/0.50  ; Term-hash-array has 126 terms in all.
% 0.18/0.50  ; Feature-vector-row-index has 46 entries (46 at peak, 46 added, 0 deleted).
% 0.18/0.50  ; Feature-vector-row-index has 116 nodes (116 at peak, 116 added, 0 deleted).
% 0.18/0.50  ;  Retrieved 20 possibly forward subsuming rows in 46 calls.
% 0.18/0.50  ;  Retrieved 7 possibly backward subsumed rows in 46 calls.
% 0.18/0.50  ; Path-index has 128 entries (128 at peak, 128 added, 0 deleted).
% 0.18/0.50  ; Path-index has 322 nodes (322 at peak, 322 added, 0 deleted).
% 0.18/0.50  ; Trie-index has 128 entries (128 at peak, 128 added, 0 deleted).
% 0.18/0.50  ; Trie-index has 298 nodes (298 at peak, 298 added, 0 deleted).
% 0.18/0.50  ; Retrieved 4 generalization terms in 86 calls.
% 0.18/0.50  ; Retrieved 25 instance terms in 21 calls.
% 0.18/0.50  ; Retrieved 1,150 unifiable terms in 127 calls.
% 0.18/0.50  ; 
% 0.18/0.50  ; The agenda of rows to process has 1 entry:
% 0.18/0.50  ;     1 with value 9
% 0.18/0.50  ; The agenda of rows to give has 36 entries:
% 0.18/0.50  ;     1 with value (4 5)           1 with value (4 11)           2 with value (4 21)
% 0.18/0.50  ;     1 with value (4 6)           1 with value (4 14)           1 with value (4 23)
% 0.18/0.50  ;     3 with value (4 7)           3 with value (4 16)           1 with value (4 24)
% 0.18/0.50  ;     6 with value (4 8)           2 with value (4 18)           1 with value (4 26)
% 0.18/0.50  ;     1 with value (4 9)           1 with value (4 19)           1 with value (4 27)
% 0.18/0.50  ;     5 with value (4 10)          3 with value (4 20)           2 with value (4 30)
% 0.18/0.50  Evaluation took:
% 0.18/0.50    0.04 seconds of real time
% 0.18/0.50    0.034395 seconds of user run time
% 0.18/0.50    0.005864 seconds of system run time
% 0.18/0.50    0 calls to %EVAL
% 0.18/0.50    0 page faults and
% 0.18/0.50    2,251,272 bytes consed.
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:07:59
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  * 
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