TSTP Solution File: SEU161+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU161+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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 14:19:40 EDT 2022

% Result   : Theorem 0.20s 0.54s
% Output   : Refutation 0.20s
% 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    :    8 (   2 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(70,axiom,
    ( subset(singleton(X),Y)
    | ~ in(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).

cnf(84,axiom,
    ( ~ subset(X,Y)
    | set_union2(X,Y) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).

cnf(110,negated_conjecture,
    in('SKOLEMAAAU21','SKOLEMAAAU22'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_zfmisc_1) ).

cnf(111,negated_conjecture,
    set_union2(singleton('SKOLEMAAAU21'),'SKOLEMAAAU22') != 'SKOLEMAAAU22',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_zfmisc_1) ).

cnf(165,plain,
    subset(singleton('SKOLEMAAAU21'),'SKOLEMAAAU22'),
    inference('HYPERRESOLVE',[status(thm)],[70,110]) ).

cnf(177,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[84,111]),165]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SEU161+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jun 20 02:17:33 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.45  #<PACKAGE "SNARK-USER">
% 0.20/0.45  * 
% 0.20/0.45  SNARK-TPTP-OPTIONS
% 0.20/0.45  * 
% 0.20/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.45   (USE-FACTORING :POS)
% 0.20/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.45  * 
% 0.20/0.45  "."
% 0.20/0.45  * 
% 0.20/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T02:17:33
% 0.20/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-20T02:17:33
% 0.20/0.48  
% 0.20/0.48  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.48  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.48  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.48  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.48  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.49  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.49  ; Declaring unordered_pair to be commutative.
% 0.20/0.49  ; Declaring set_union2 to be commutative.
% 0.20/0.49  ; Declaring set_intersection2 to be commutative.
% 0.20/0.54  ; Declaring disjoint to be commutative.
% 0.20/0.54  
% 0.20/0.54  #||
% 0.20/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.54  % SZS output start Refutation
% See solution above
% 0.20/0.54  ||#
% 0.20/0.54  
% 0.20/0.54  ; Summary of computation:
% 0.20/0.54  ;       342 formulas have been input or derived (from 44 formulas).
% 0.20/0.54  ;       177 (52%) were retained.  Of these,
% 0.20/0.54  ;           18 (10%) were simplified or subsumed later,
% 0.20/0.54  ;          159 (90%) are still being kept.
% 0.20/0.54  ; 
% 0.20/0.54  ; Run time in seconds excluding printing time:
% 0.20/0.54  ;     0.016  20%   Read assertion file          (1 call)
% 0.20/0.54  ;     0.006   7%   Assert                       (91 calls)
% 0.20/0.54  ;     0.011  14%   Process new row              (309 calls)
% 0.20/0.54  ;     0.000   0%   Resolution                   (86 calls)
% 0.20/0.54  ;     0.001   1%   Paramodulation               (43 calls)
% 0.20/0.54  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.54  ;     0.004   5%   Condensing                   (140 calls)
% 0.20/0.54  ;     0.004   5%   Forward subsumption          (140 calls)
% 0.20/0.54  ;     0.004   5%   Backward subsumption         (123 calls)
% 0.20/0.54  ;     0.000   0%   Clause clause subsumption    (70 calls)
% 0.20/0.54  ;     0.006   7%   Forward simplification       (308 calls)
% 0.20/0.54  ;     0.002   2%   Backward simplification      (174 calls)
% 0.20/0.54  ;     0.000   0%   Ordering                     (147 calls)
% 0.20/0.54  ;     0.001   1%   Sortal reasoning             (32 calls)
% 0.20/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.54  ;     0.026  32%   Other
% 0.20/0.54  ;     0.081        Total
% 0.20/0.54  ;     0.082        Real time
% 0.20/0.54  ; 
% 0.20/0.54  ; Term-hash-array has 247 terms in all.
% 0.20/0.54  ; Feature-vector-row-index has 113 entries (113 at peak, 123 added, 10 deleted).
% 0.20/0.54  ; Feature-vector-row-index has 290 nodes (290 at peak, 306 added, 16 deleted).
% 0.20/0.54  ;  Retrieved 57 possibly forward subsuming rows in 140 calls.
% 0.20/0.54  ;  Retrieved 27 possibly backward subsumed rows in 123 calls.
% 0.20/0.54  ; Path-index has 237 entries (237 at peak, 256 added, 19 deleted).
% 0.20/0.54  ; Path-index has 607 nodes (607 at peak, 618 added, 11 deleted).
% 0.20/0.54  ; Trie-index has 237 entries (237 at peak, 256 added, 19 deleted).
% 0.20/0.54  ; Trie-index has 564 nodes (564 at peak, 595 added, 31 deleted).
% 0.20/0.54  ; Retrieved 279 generalization terms in 492 calls.
% 0.20/0.54  ; Retrieved 87 instance terms in 50 calls.
% 0.20/0.54  ; Retrieved 3,207 unifiable terms in 244 calls.
% 0.20/0.54  ; 
% 0.20/0.54  ; The agenda of rows to process has 7 entries:
% 0.20/0.54  ;     4 with value 8               1 with value 13               1 with value 15
% 0.20/0.54  ;     1 with value 11
% 0.20/0.54  ; The agenda of input rows to give has 81 entries:
% 0.20/0.54  ;     6 with value 11              5 with value 18               1 with value 25
% 0.20/0.54  ;    11 with value 12              5 with value 19               3 with value 26
% 0.20/0.54  ;     7 with value 13              5 with value 20               3 with value 31
% 0.20/0.54  ;     8 with value 14              2 with value 22               1 with value 32
% 0.20/0.54  ;     6 with value 15              8 with value 23               1 with value 33
% 0.20/0.54  ;     2 with value 16              1 with value 24               1 with value 34
% 0.20/0.54  ;     5 with value 17
% 0.20/0.54  ; The agenda of rows to give has 35 entries:
% 0.20/0.54  ;     1 with value (4 4)           2 with value (4 8)            4 with value (4 13)
% 0.20/0.54  ;     5 with value (4 5)           3 with value (4 10)           1 with value (4 14)
% 0.20/0.54  ;     1 with value (4 6)           4 with value (4 11)           2 with value (4 15)
% 0.20/0.54  ;     9 with value (4 7)           3 with value (4 12)
% 0.20/0.54  Evaluation took:
% 0.20/0.54    0.082 seconds of real time
% 0.20/0.54    0.071726 seconds of user run time
% 0.20/0.54    0.010947 seconds of system run time
% 0.20/0.54    0 calls to %EVAL
% 0.20/0.54    0 page faults and
% 0.20/0.54    4,036,912 bytes consed.
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T02:17:33
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
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