TSTP Solution File: SET867+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% 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 : Tue Jul 19 05:13:01 EDT 2022

% Result   : Theorem 0.38s 0.55s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   3 unt;   1 nHn;   4 RR)
%            Number of literals    :    8 (   3 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != empty_set
    | ~ in(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).

cnf(9,axiom,
    ( X = union(Y)
    | in('SKOLEMAAAV3'(X,Y),X)
    | in('SKOLEMAAAV4'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).

cnf(13,negated_conjecture,
    union(empty_set) != empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_zfmisc_1) ).

cnf(14,plain,
    ~ in(X,empty_set),
    inference('UR-RESOLVE',[status(thm)],[2,theory(equality)]) ).

cnf(28,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[9,14,13,14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SET867+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n026.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul 11 02:35:12 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51  * 
% 0.22/0.51  * 
% 0.36/0.52  #<PACKAGE "SNARK-USER">
% 0.36/0.52  * 
% 0.36/0.52  SNARK-TPTP-OPTIONS
% 0.36/0.52  * 
% 0.36/0.52  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.36/0.52   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.36/0.52   (USE-FACTORING :POS)
% 0.36/0.52   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.36/0.52   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.36/0.52   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.36/0.52   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.36/0.52   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.36/0.52   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.36/0.52   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.36/0.52   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.36/0.52   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.36/0.52   (DECLARE-TPTP-SYMBOLS2))
% 0.36/0.52  * 
% 0.36/0.52  "."
% 0.36/0.52  * 
% 0.36/0.52  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:35:12
% 0.36/0.52  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T02:35:12
% 0.38/0.55  
% 0.38/0.55  
% 0.38/0.55  #||
% 0.38/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.55  % SZS output start Refutation
% See solution above
% 0.38/0.55  ||#
% 0.38/0.55  
% 0.38/0.55  ; Summary of computation:
% 0.38/0.55  ;        40 formulas have been input or derived (from 15 formulas).
% 0.38/0.55  ;        28 (70%) were retained.  Of these,
% 0.38/0.55  ;           28 (100%) are still being kept.
% 0.38/0.55  ; 
% 0.38/0.55  ; Run time in seconds:
% 0.38/0.55  ;     0.002   6%   Read assertion file          (1 call)
% 0.38/0.55  ;     0.001   3%   Assert                       (7 calls)
% 0.38/0.55  ;     0.004  12%   Process new row              (30 calls)
% 0.38/0.55  ;     0.000   0%   Resolution                   (28 calls)
% 0.38/0.55  ;     0.000   0%   Paramodulation               (14 calls)
% 0.38/0.55  ;     0.000   0%   Factoring                    (3 calls)
% 0.38/0.55  ;     0.001   3%   Condensing                   (22 calls)
% 0.38/0.55  ;     0.000   0%   Forward subsumption          (22 calls)
% 0.38/0.55  ;     0.001   3%   Backward subsumption         (21 calls)
% 0.38/0.55  ;     0.000   0%   Clause clause subsumption    (22 calls)
% 0.38/0.55  ;     0.001   3%   Forward simplification       (30 calls)
% 0.38/0.55  ;     0.001   3%   Backward simplification      (28 calls)
% 0.38/0.55  ;     0.001   3%   Ordering                     (65 calls)
% 0.38/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.55  ;     0.021  64%   Other
% 0.38/0.55  ;     0.033        Total
% 0.38/0.55  ;     0.034        Real time
% 0.38/0.55  ; 
% 0.38/0.55  ; Term-hash-array has 81 terms in all.
% 0.38/0.55  ; Feature-vector-row-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.38/0.55  ; Feature-vector-row-index has 109 nodes (109 at peak, 109 added, 0 deleted).
% 0.38/0.55  ;  Retrieved 20 possibly forward subsuming rows in 22 calls.
% 0.38/0.55  ;  Retrieved 4 possibly backward subsumed rows in 21 calls.
% 0.38/0.55  ; Path-index has 84 entries (84 at peak, 84 added, 0 deleted).
% 0.38/0.55  ; Path-index has 230 nodes (230 at peak, 230 added, 0 deleted).
% 0.38/0.55  ; Trie-index has 84 entries (84 at peak, 84 added, 0 deleted).
% 0.38/0.55  ; Trie-index has 209 nodes (209 at peak, 209 added, 0 deleted).
% 0.38/0.55  ; Retrieved 0 generalization terms in 48 calls.
% 0.38/0.55  ; Retrieved 6 instance terms in 6 calls.
% 0.38/0.55  ; Retrieved 613 unifiable terms in 113 calls.
% 0.38/0.55  ; 
% 0.38/0.55  ; The agenda of rows to process has 7 entries:
% 0.38/0.55  ;     1 with value 6               2 with value 9                1 with value 15
% 0.38/0.55  ;     2 with value 8               1 with value 11
% 0.38/0.55  ; The agenda of rows to give has 13 entries:
% 0.38/0.55  ;     1 with value (4 10)          1 with value (4 22)           2 with value (4 33)
% 0.38/0.55  ;     1 with value (4 14)          1 with value (4 30)           1 with value (4 44)
% 0.38/0.55  ;     1 with value (4 18)          1 with value (4 31)           1 with value (4 46)
% 0.38/0.55  ;     2 with value (4 20)          1 with value (4 32)
% 0.38/0.55  Evaluation took:
% 0.38/0.55    0.034 seconds of real time
% 0.38/0.55    0.031982 seconds of user run time
% 0.38/0.55    0.002869 seconds of system run time
% 0.38/0.55    0 calls to %EVAL
% 0.38/0.55    0 page faults and
% 0.38/0.55    1,838,488 bytes consed.
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T02:35:12
% 0.38/0.55  :PROOF-FOUND
% 0.38/0.55  * 
%------------------------------------------------------------------------------