TSTP Solution File: SET881+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET881+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 05:13:06 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    9 (   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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   2 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(9,axiom,
    ( set_difference(singleton(X),Y) = empty_set
    | ~ in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).

cnf(12,negated_conjecture,
    set_difference(singleton('SKOLEMAAAU4'),unordered_pair('SKOLEMAAAU4','SKOLEMAAAU5')) != empty_set,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_zfmisc_1) ).

cnf(13,plain,
    ~ in('SKOLEMAAAU4',unordered_pair('SKOLEMAAAU4','SKOLEMAAAU5')),
    inference('UR-RESOLVE',[status(thm)],[9,12]) ).

cnf(14,plain,
    in(X,unordered_pair(X,Y)),
    inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).

cnf(15,plain,
    $false,
    inference('REWRITE',[status(thm)],[13,14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET881+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n008.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 : Sun Jul 10 11:57:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:57:38
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-10T11:57:38
% 0.19/0.47  
% 0.19/0.47  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.48  ; Declaring unordered_pair to be commutative.
% 0.19/0.48  
% 0.19/0.48  #||
% 0.19/0.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        18 formulas have been input or derived (from 9 formulas).
% 0.19/0.49  ;        15 (83%) were retained.  Of these,
% 0.19/0.49  ;            1 ( 7%) were simplified or subsumed later,
% 0.19/0.49  ;           14 (93%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.002   7%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.001   4%   Assert                       (8 calls)
% 0.19/0.49  ;     0.001   4%   Process new row              (17 calls)
% 0.19/0.49  ;     0.001   4%   Resolution                   (16 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (8 calls)
% 0.19/0.49  ;     0.001   4%   Condensing                   (9 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (9 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (8 calls)
% 0.19/0.49  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (17 calls)
% 0.19/0.49  ;     0.000   0%   Backward simplification      (15 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (5 calls)
% 0.19/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.021  78%   Other
% 0.19/0.49  ;     0.027        Total
% 0.19/0.49  ;     0.029        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 24 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 27 nodes (27 at peak, 27 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 2 possibly forward subsuming rows in 9 calls.
% 0.19/0.49  ;  Retrieved 1 possibly backward subsumed row in 8 calls.
% 0.19/0.49  ; Path-index has 28 entries (29 at peak, 29 added, 1 deleted).
% 0.19/0.49  ; Path-index has 70 nodes (73 at peak, 73 added, 3 deleted).
% 0.19/0.49  ; Trie-index has 28 entries (29 at peak, 29 added, 1 deleted).
% 0.19/0.49  ; Trie-index has 62 nodes (66 at peak, 66 added, 4 deleted).
% 0.19/0.49  ; Retrieved 0 generalization terms in 3 calls.
% 0.19/0.49  ; Retrieved 7 instance terms in 6 calls.
% 0.19/0.49  ; Retrieved 89 unifiable terms in 41 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of input rows to give has 4 entries:
% 0.19/0.49  ;     1 with value 19              2 with value 23               1 with value 31
% 0.19/0.49  ; The agenda of rows to give has 1 entry:
% 0.19/0.49  ;     1 with value (4 8)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.029 seconds of real time
% 0.19/0.49    0.028061 seconds of user run time
% 0.19/0.49    9.56e-4 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    1,665,560 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:57:38
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------