TSTP Solution File: SEU143+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU143+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 14:19:27 EDT 2022

% Result   : Theorem 0.18s 0.54s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   6 RR)
%            Number of literals    :    9 (   3 equ;   5 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    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( X != singleton(Y)
    | in(Z,X)
    | Z != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

cnf(40,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).

cnf(45,negated_conjecture,
    singleton('SKOLEMAAAV8') = empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).

cnf(82,axiom,
    ( ~ in(X,Y)
    | ~ empty(Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).

cnf(100,plain,
    ~ in(X,empty_set),
    inference('UR-RESOLVE',[status(thm)],[82,40]) ).

cnf(151,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,45,theory(equality)]),100]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : SEU143+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n029.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 : Mon Jun 20 14:00:00 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 2022-06-20T14:00:00
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-20T14:00:00
% 0.18/0.48  
% 0.18/0.48  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.48  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.48  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.48  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.48  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.48  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.48  ; Declaring unordered_pair to be commutative.
% 0.18/0.48  ; Declaring set_union2 to be commutative.
% 0.18/0.48  ; Declaring set_intersection2 to be commutative.
% 0.18/0.54  ; Declaring disjoint to be commutative.
% 0.18/0.54  
% 0.18/0.54  #||
% 0.18/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54  % SZS output start Refutation
% See solution above
% 0.18/0.54  ||#
% 0.18/0.54  
% 0.18/0.54  ; Summary of computation:
% 0.18/0.54  ;       632 formulas have been input or derived (from 50 formulas).
% 0.18/0.54  ;       151 (24%) were retained.  Of these,
% 0.18/0.54  ;           18 (12%) were simplified or subsumed later,
% 0.18/0.54  ;          133 (88%) are still being kept.
% 0.18/0.54  ; 
% 0.18/0.54  ; Run time in seconds excluding printing time:
% 0.18/0.54  ;     0.011  14%   Read assertion file          (1 call)
% 0.18/0.54  ;     0.003   4%   Assert                       (64 calls)
% 0.18/0.54  ;     0.014  18%   Process new row              (382 calls)
% 0.18/0.54  ;     0.008  10%   Resolution                   (98 calls)
% 0.18/0.54  ;     0.001   1%   Paramodulation               (49 calls)
% 0.18/0.54  ;     0.000   0%   Factoring                    (4 calls)
% 0.18/0.54  ;     0.002   3%   Condensing                   (139 calls)
% 0.18/0.54  ;     0.002   3%   Forward subsumption          (139 calls)
% 0.18/0.54  ;     0.000   0%   Backward subsumption         (106 calls)
% 0.18/0.54  ;     0.001   1%   Clause clause subsumption    (110 calls)
% 0.18/0.54  ;     0.008  10%   Forward simplification       (381 calls)
% 0.18/0.54  ;     0.000   0%   Backward simplification      (148 calls)
% 0.18/0.54  ;     0.000   0%   Ordering                     (209 calls)
% 0.18/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.54  ;     0.001   1%   Purity testing               (1 call)
% 0.18/0.54  ;     0.027  35%   Other
% 0.18/0.54  ;     0.078        Total
% 0.18/0.54  ;     0.080        Real time
% 0.18/0.54  ; 
% 0.18/0.54  ; Term-hash-array has 210 terms in all.
% 0.18/0.54  ; Feature-vector-row-index has 96 entries (96 at peak, 106 added, 10 deleted).
% 0.18/0.54  ; Feature-vector-row-index has 235 nodes (235 at peak, 252 added, 17 deleted).
% 0.18/0.54  ;  Retrieved 110 possibly forward subsuming rows in 139 calls.
% 0.18/0.54  ;  Retrieved 18 possibly backward subsumed rows in 106 calls.
% 0.18/0.54  ; Path-index has 199 entries (199 at peak, 218 added, 19 deleted).
% 0.18/0.54  ; Path-index has 376 nodes (376 at peak, 387 added, 11 deleted).
% 0.18/0.54  ; Trie-index has 199 entries (199 at peak, 218 added, 19 deleted).
% 0.18/0.54  ; Trie-index has 438 nodes (438 at peak, 469 added, 31 deleted).
% 0.18/0.54  ; Retrieved 568 generalization terms in 681 calls.
% 0.18/0.54  ; Retrieved 81 instance terms in 42 calls.
% 0.18/0.54  ; Retrieved 4,617 unifiable terms in 393 calls.
% 0.18/0.54  ; 
% 0.18/0.54  ; The agenda of rows to process has 216 entries:
% 0.18/0.54  ;     1 with value 7              26 with value 12              20 with value 17
% 0.18/0.54  ;    10 with value 8              43 with value 13              12 with value 18
% 0.18/0.54  ;    14 with value 9              18 with value 14              12 with value 20
% 0.18/0.54  ;    24 with value 10              6 with value 15               6 with value 23
% 0.18/0.54  ;    12 with value 11             12 with value 16
% 0.18/0.54  ; The agenda of input rows to give has 32 entries:
% 0.18/0.54  ;     4 with value 14              3 with value 19               2 with value 26
% 0.18/0.54  ;     5 with value 15              2 with value 20               3 with value 31
% 0.18/0.54  ;     1 with value 16              1 with value 22               1 with value 34
% 0.18/0.54  ;     4 with value 18              6 with value 23
% 0.18/0.54  ; The agenda of rows to give has 52 entries:
% 0.18/0.54  ;     4 with value (4 5)           5 with value (4 11)           3 with value (4 16)
% 0.18/0.54  ;     1 with value (4 7)           2 with value (4 12)           5 with value (4 17)
% 0.18/0.54  ;     2 with value (4 8)           6 with value (4 13)           4 with value (4 18)
% 0.18/0.54  ;     2 with value (4 9)           2 with value (4 14)           4 with value (4 19)
% 0.18/0.54  ;     1 with value (4 10)         10 with value (4 15)           1 with value (4 20)
% 0.18/0.54  Evaluation took:
% 0.18/0.54    0.08 seconds of real time
% 0.18/0.54    0.072494 seconds of user run time
% 0.18/0.54    0.008219 seconds of system run time
% 0.18/0.54    0 calls to %EVAL
% 0.18/0.54    0 page faults and
% 0.18/0.54    3,787,432 bytes consed.
% 0.18/0.54  :PROOF-FOUND
% 0.18/0.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T14:00:00
% 0.18/0.54  :PROOF-FOUND
% 0.18/0.54  * 
%------------------------------------------------------------------------------