TSTP Solution File: SET366+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 05:09:16 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   1 nHn;   5 RR)
%            Number of literals    :    9 (   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    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   2 sgn)

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

cnf(30,negated_conjecture,
    ~ member(empty_set,power_set('SKOLEMAAAV4')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI47) ).

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

cnf(33,plain,
    subset(empty_set,X),
    inference('UR-RESOLVE',[status(thm)],[2,15]) ).

cnf(34,plain,
    $false,
    inference('REWRITE',[status(thm)],[31,33]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET366+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 01:36:33 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T01:36:33
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-11T01:36:33
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        36 formulas have been input or derived (from 10 formulas).
% 0.20/0.51  ;        34 (94%) were retained.  Of these,
% 0.20/0.51  ;            1 ( 3%) were simplified or subsumed later,
% 0.20/0.51  ;           33 (97%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.003  10%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   3%   Assert                       (12 calls)
% 0.20/0.51  ;     0.002   6%   Process new row              (34 calls)
% 0.20/0.51  ;     0.000   0%   Resolution                   (18 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (9 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.51  ;     0.000   0%   Condensing                   (28 calls)
% 0.20/0.51  ;     0.001   3%   Forward subsumption          (28 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (28 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.20/0.51  ;     0.001   3%   Forward simplification       (34 calls)
% 0.20/0.51  ;     0.001   3%   Backward simplification      (34 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (4 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  71%   Other
% 0.20/0.51  ;     0.031        Total
% 0.20/0.51  ;     0.032        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 41 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 28 entries (28 at peak, 28 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 5 possibly forward subsuming rows in 28 calls.
% 0.20/0.51  ;  Retrieved 5 possibly backward subsumed rows in 28 calls.
% 0.20/0.51  ; Path-index has 42 entries (43 at peak, 43 added, 1 deleted).
% 0.20/0.51  ; Path-index has 121 nodes (122 at peak, 122 added, 1 deleted).
% 0.20/0.51  ; Trie-index has 42 entries (43 at peak, 43 added, 1 deleted).
% 0.20/0.51  ; Trie-index has 89 nodes (90 at peak, 90 added, 1 deleted).
% 0.20/0.51  ; Retrieved 0 generalization terms in 29 calls.
% 0.20/0.51  ; Retrieved 7 instance terms in 5 calls.
% 0.20/0.51  ; Retrieved 114 unifiable terms in 34 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 1 entry:
% 0.20/0.51  ;     1 with value 14
% 0.20/0.51  ; The agenda of input rows to give has 21 entries:
% 0.20/0.51  ;     9 with value 11              4 with value 13               4 with value 15
% 0.20/0.51  ;     2 with value 12              2 with value 14
% 0.20/0.51  ; The agenda of rows to give has 2 entries:
% 0.20/0.51  ;     1 with value (4 5)           1 with value (4 7)
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.033 seconds of real time
% 0.20/0.51    0.025641 seconds of user run time
% 0.20/0.51    0.00733 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    1,821,632 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T01:36:33
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------