TSTP Solution File: SET907+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET907+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 05:13:16 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   2 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    ( ~ subset(X,Y)
    | set_union2(X,Y) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).

cnf(9,axiom,
    ( subset(unordered_pair(X,Y),Z)
    | ~ in(X,Z)
    | ~ in(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).

cnf(10,negated_conjecture,
    in('SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_zfmisc_1) ).

cnf(11,negated_conjecture,
    in('SKOLEMAAAV5','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_zfmisc_1) ).

cnf(12,negated_conjecture,
    set_union2(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV5'),'SKOLEMAAAV4') != 'SKOLEMAAAV4',
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_zfmisc_1) ).

cnf(16,plain,
    ~ subset(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV5'),'SKOLEMAAAV4'),
    inference('UR-RESOLVE',[status(thm)],[7,12]) ).

cnf(19,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,10,11]),16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET907+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % 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 : Sat Jul  9 21:51:42 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-07-09T21:51:42
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-09T21:51:42
% 0.19/0.47  
% 0.19/0.47  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.47  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.47  ; Declaring unordered_pair to be commutative.
% 0.19/0.48  ; Declaring set_union2 to be commutative.
% 0.19/0.48  
% 0.19/0.48  #||
% 0.19/0.48  % SZS status Theorem for /export/starexec/sandbox/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  ;        36 formulas have been input or derived (from 13 formulas).
% 0.19/0.49  ;        19 (53%) were retained.  Of these,
% 0.19/0.49  ;           19 (100%) 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   3%   Assert                       (12 calls)
% 0.19/0.49  ;     0.001   3%   Process new row              (29 calls)
% 0.19/0.49  ;     0.001   3%   Resolution                   (24 calls)
% 0.19/0.49  ;     0.000   0%   Paramodulation               (12 calls)
% 0.19/0.49  ;     0.001   3%   Condensing                   (7 calls)
% 0.19/0.49  ;     0.000   0%   Forward subsumption          (7 calls)
% 0.19/0.49  ;     0.001   3%   Backward subsumption         (5 calls)
% 0.19/0.49  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (29 calls)
% 0.19/0.49  ;     0.000   0%   Backward simplification      (19 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (8 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  ;     0.022  76%   Other
% 0.19/0.49  ;     0.029        Total
% 0.19/0.49  ;     0.030        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 29 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 13 nodes (13 at peak, 13 added, 0 deleted).
% 0.19/0.49  ;  Retrieved 3 possibly forward subsuming rows in 7 calls.
% 0.19/0.49  ;  Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.19/0.49  ; Path-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.19/0.49  ; Path-index has 56 nodes (56 at peak, 56 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.19/0.49  ; Trie-index has 65 nodes (65 at peak, 65 added, 0 deleted).
% 0.19/0.49  ; Retrieved 14 generalization terms in 22 calls.
% 0.19/0.49  ; Retrieved 15 instance terms in 13 calls.
% 0.19/0.49  ; Retrieved 108 unifiable terms in 61 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 4 entries:
% 0.19/0.49  ;     4 with value 8
% 0.19/0.49  ; The agenda of rows to give has 6 entries:
% 0.19/0.49  ;     2 with value (4 5)           1 with value (4 7)            3 with value (4 8)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.03 seconds of real time
% 0.19/0.49    0.019304 seconds of user run time
% 0.19/0.49    0.011472 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    1,752,088 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T21:51:42
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------