TSTP Solution File: SET917+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n018.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 05:13:23 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   1 nHn;   5 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(3,axiom,
    ( in(X,Y)
    | disjoint(singleton(X),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l28_zfmisc_1) ).

cnf(4,axiom,
    ( ~ in(X,Y)
    | set_intersection2(Y,singleton(X)) = singleton(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l32_zfmisc_1) ).

cnf(7,negated_conjecture,
    ~ disjoint(singleton('SKOLEMAAAV3'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_zfmisc_1) ).

cnf(8,negated_conjecture,
    set_intersection2(singleton('SKOLEMAAAV3'),'SKOLEMAAAV4') != singleton('SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_zfmisc_1) ).

cnf(9,plain,
    in('SKOLEMAAAV3','SKOLEMAAAV4'),
    inference('UR-RESOLVE',[status(thm)],[3,7]) ).

cnf(11,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,8]),9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET917+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n018.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 : Sun Jul 10 12:20:57 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.46  * 
% 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 2022-07-10T12:20:57
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T12:20:57
% 0.18/0.47  
% 0.18/0.47  ; 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  ; Declaring set_intersection2 to be commutative.
% 0.18/0.49  ; Declaring disjoint to be commutative.
% 0.18/0.49  
% 0.18/0.49  #||
% 0.18/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  % SZS output start Refutation
% See solution above
% 0.18/0.49  ||#
% 0.18/0.49  
% 0.18/0.49  ; Summary of computation:
% 0.18/0.49  ;        16 formulas have been input or derived (from 9 formulas).
% 0.18/0.49  ;        11 (69%) were retained.  Of these,
% 0.18/0.49  ;           11 (100%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds excluding printing time:
% 0.18/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.001   4%   Assert                       (9 calls)
% 0.18/0.49  ;     0.001   4%   Process new row              (14 calls)
% 0.18/0.49  ;     0.000   0%   Resolution                   (16 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (8 calls)
% 0.18/0.49  ;     0.000   0%   Factoring                    (1 call)
% 0.18/0.49  ;     0.002   8%   Condensing                   (4 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (4 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (4 calls)
% 0.18/0.49  ;     0.000   0%   Forward simplification       (14 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (11 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (8 calls)
% 0.18/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.49  ;     0.020  77%   Other
% 0.18/0.49  ;     0.026        Total
% 0.18/0.49  ;     0.028        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 17 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 14 nodes (14 at peak, 14 added, 0 deleted).
% 0.18/0.49  ;  Retrieved 0 possibly forward subsuming rows in 4 calls.
% 0.18/0.49  ;  Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.18/0.49  ; Path-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.18/0.49  ; Path-index has 41 nodes (41 at peak, 41 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 21 entries (21 at peak, 21 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 44 nodes (44 at peak, 44 added, 0 deleted).
% 0.18/0.49  ; Retrieved 3 generalization terms in 6 calls.
% 0.18/0.49  ; Retrieved 6 instance terms in 6 calls.
% 0.18/0.49  ; Retrieved 31 unifiable terms in 36 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 1 entry:
% 0.18/0.49  ;     1 with value 17
% 0.18/0.49  ; The agenda of rows to give has 2 entries:
% 0.18/0.49  ;     1 with value (4 5)           1 with value (4 13)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.028 seconds of real time
% 0.18/0.49    0.024165 seconds of user run time
% 0.18/0.49    0.004157 seconds of system run time
% 0.18/0.49    0 calls to %EVAL
% 0.18/0.49    0 page faults and
% 0.18/0.49    1,596,088 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T12:20:58
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------