TSTP Solution File: SET920+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET920+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 05:13:25 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;   0 nHn;   5 RR)
%            Number of literals    :   10 (   4 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( X != unordered_pair(Y,Z)
    | in(U,X)
    | U != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).

cnf(7,axiom,
    ( X != set_intersection2(Y,Z)
    | ~ in(U,X)
    | in(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).

cnf(15,negated_conjecture,
    set_intersection2(unordered_pair('SKOLEMAAAV5','SKOLEMAAAV6'),'SKOLEMAAAV7') = unordered_pair('SKOLEMAAAV5','SKOLEMAAAV6'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_zfmisc_1) ).

cnf(16,negated_conjecture,
    ~ in('SKOLEMAAAV5','SKOLEMAAAV7'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_zfmisc_1) ).

cnf(17,plain,
    in(X,unordered_pair(X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).

cnf(20,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,15,16]),17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SET920+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n028.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 14:48:57 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 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 2022-07-10T14:48:57
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T14:48:57
% 0.18/0.47  
% 0.18/0.47  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.47  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.47  ; Declaring unordered_pair to be commutative.
% 0.18/0.49  ; Declaring set_intersection2 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  ;        59 formulas have been input or derived (from 9 formulas).
% 0.18/0.49  ;        20 (34%) were retained.  Of these,
% 0.18/0.49  ;           20 (100%) are still being kept.
% 0.18/0.49  ; 
% 0.18/0.49  ; Run time in seconds:
% 0.18/0.49  ;     0.003  10%   Read assertion file          (1 call)
% 0.18/0.49  ;     0.000   0%   Assert                       (9 calls)
% 0.18/0.49  ;     0.004  13%   Process new row              (50 calls)
% 0.18/0.49  ;     0.001   3%   Resolution                   (16 calls)
% 0.18/0.49  ;     0.000   0%   Paramodulation               (8 calls)
% 0.18/0.49  ;     0.000   0%   Condensing                   (13 calls)
% 0.18/0.49  ;     0.000   0%   Forward subsumption          (13 calls)
% 0.18/0.49  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.18/0.49  ;     0.000   0%   Clause clause subsumption    (9 calls)
% 0.18/0.49  ;     0.001   3%   Forward simplification       (50 calls)
% 0.18/0.49  ;     0.000   0%   Backward simplification      (20 calls)
% 0.18/0.49  ;     0.000   0%   Ordering                     (25 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  ;     0.022  71%   Other
% 0.18/0.49  ;     0.031        Total
% 0.18/0.49  ;     0.032        Real time
% 0.18/0.49  ; 
% 0.18/0.49  ; Term-hash-array has 33 terms in all.
% 0.18/0.49  ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.18/0.49  ; Feature-vector-row-index has 34 nodes (34 at peak, 34 added, 0 deleted).
% 0.18/0.49  ;  Retrieved 7 possibly forward subsuming rows in 13 calls.
% 0.18/0.49  ;  Retrieved 2 possibly backward subsumed rows in 11 calls.
% 0.18/0.49  ; Path-index has 38 entries (38 at peak, 38 added, 0 deleted).
% 0.18/0.49  ; Path-index has 79 nodes (79 at peak, 79 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 38 entries (38 at peak, 38 added, 0 deleted).
% 0.18/0.49  ; Trie-index has 82 nodes (82 at peak, 82 added, 0 deleted).
% 0.18/0.49  ; Retrieved 64 generalization terms in 82 calls.
% 0.18/0.49  ; Retrieved 9 instance terms in 8 calls.
% 0.18/0.49  ; Retrieved 329 unifiable terms in 64 calls.
% 0.18/0.49  ; 
% 0.18/0.49  ; The agenda of rows to process has 4 entries:
% 0.18/0.49  ;     2 with value 13              1 with value 16               1 with value 19
% 0.18/0.49  ; The agenda of input rows to give has 8 entries:
% 0.18/0.49  ;     2 with value 19              4 with value 23               2 with value 31
% 0.18/0.49  ; The agenda of rows to give has 3 entries:
% 0.18/0.49  ;     3 with value (4 8)
% 0.18/0.49  Evaluation took:
% 0.18/0.49    0.033 seconds of real time
% 0.18/0.49    0.025711 seconds of user run time
% 0.18/0.49    0.006771 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    1,817,144 bytes consed.
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:48:57
% 0.18/0.49  :PROOF-FOUND
% 0.18/0.49  * 
%------------------------------------------------------------------------------