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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET691+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 05:11:35 EDT 2022

% Result   : Theorem 0.22s 0.54s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   4 unt;   2 nHn;   8 RR)
%            Number of literals    :   15 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( subset(X,Y)
    | member('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(4,axiom,
    ( ~ equal_set(X,Y)
    | subset(X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

cnf(6,axiom,
    ( equal_set(X,Y)
    | ~ subset(X,Y)
    | ~ subset(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).

cnf(15,axiom,
    ~ member(X,empty_set),
    file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',empty_set) ).

cnf(30,negated_conjecture,
    ( ~ subset('SKOLEMAAAV4',empty_set)
    | ~ equal_set('SKOLEMAAAV4',empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI16) ).

cnf(31,negated_conjecture,
    ( subset('SKOLEMAAAV4',empty_set)
    | equal_set('SKOLEMAAAV4',empty_set) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI16) ).

cnf(41,plain,
    equal_set('SKOLEMAAAV4',empty_set),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,31,2]),15]) ).

cnf(42,plain,
    ~ subset('SKOLEMAAAV4',empty_set),
    inference('REWRITE',[status(thm)],[30,41]) ).

cnf(44,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,42]),41]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET691+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.15/0.36  % Computer : n016.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sun Jul 10 06:50:26 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49  * 
% 0.22/0.50  * 
% 0.22/0.50  #<PACKAGE "SNARK-USER">
% 0.22/0.50  * 
% 0.22/0.50  SNARK-TPTP-OPTIONS
% 0.22/0.50  * 
% 0.22/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50   (USE-FACTORING :POS)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50  * 
% 0.22/0.50  "."
% 0.22/0.50  * 
% 0.22/0.50  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T06:50:26
% 0.22/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-10T06:50:26
% 0.22/0.54  
% 0.22/0.54  
% 0.22/0.54  #||
% 0.22/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.54  % SZS output start Refutation
% See solution above
% 0.22/0.54  ||#
% 0.22/0.54  
% 0.22/0.54  ; Summary of computation:
% 0.22/0.54  ;        53 formulas have been input or derived (from 23 formulas).
% 0.22/0.54  ;        44 (83%) were retained.  Of these,
% 0.22/0.54  ;            3 ( 7%) were simplified or subsumed later,
% 0.22/0.54  ;           41 (93%) are still being kept.
% 0.22/0.54  ; 
% 0.22/0.54  ; Run time in seconds excluding printing time:
% 0.22/0.54  ;     0.003   9%   Read assertion file          (1 call)
% 0.22/0.54  ;     0.001   3%   Assert                       (12 calls)
% 0.22/0.54  ;     0.001   3%   Process new row              (45 calls)
% 0.22/0.54  ;     0.001   3%   Resolution                   (44 calls)
% 0.22/0.54  ;     0.000   0%   Paramodulation               (22 calls)
% 0.22/0.54  ;     0.000   0%   Factoring                    (2 calls)
% 0.22/0.54  ;     0.000   0%   Condensing                   (33 calls)
% 0.22/0.54  ;     0.001   3%   Forward subsumption          (33 calls)
% 0.22/0.54  ;     0.000   0%   Backward subsumption         (33 calls)
% 0.22/0.54  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.22/0.54  ;     0.001   3%   Forward simplification       (44 calls)
% 0.22/0.54  ;     0.001   3%   Backward simplification      (44 calls)
% 0.22/0.54  ;     0.000   0%   Ordering                     (8 calls)
% 0.22/0.54  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.22/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.22/0.54  ;     0.024  71%   Other
% 0.22/0.54  ;     0.034        Total
% 0.22/0.54  ;     0.036        Real time
% 0.22/0.54  ; 
% 0.22/0.54  ; Term-hash-array has 54 terms in all.
% 0.22/0.54  ; Feature-vector-row-index has 30 entries (32 at peak, 33 added, 3 deleted).
% 0.22/0.54  ; Feature-vector-row-index has 48 nodes (67 at peak, 70 added, 22 deleted).
% 0.22/0.54  ;  Retrieved 5 possibly forward subsuming rows in 33 calls.
% 0.22/0.54  ;  Retrieved 5 possibly backward subsumed rows in 33 calls.
% 0.22/0.54  ; Path-index has 54 entries (54 at peak, 57 added, 3 deleted).
% 0.22/0.54  ; Path-index has 128 nodes (131 at peak, 133 added, 5 deleted).
% 0.22/0.54  ; Trie-index has 54 entries (54 at peak, 57 added, 3 deleted).
% 0.22/0.54  ; Trie-index has 99 nodes (103 at peak, 105 added, 6 deleted).
% 0.22/0.54  ; Retrieved 3 generalization terms in 41 calls.
% 0.22/0.54  ; Retrieved 14 instance terms in 10 calls.
% 0.22/0.54  ; Retrieved 472 unifiable terms in 91 calls.
% 0.22/0.54  ; 
% 0.22/0.54  ; The agenda of rows to process has 5 entries:
% 0.22/0.54  ;     1 with value 5               1 with value 7                3 with value 8
% 0.22/0.54  ; The agenda of input rows to give has 10 entries:
% 0.22/0.54  ;     4 with value 13              2 with value 14               4 with value 15
% 0.22/0.54  ; The agenda of rows to give has 10 entries:
% 0.22/0.54  ;     2 with value (4 5)           5 with value (4 8)            1 with value (4 19)
% 0.22/0.54  ;     1 with value (4 7)           1 with value (4 14)
% 0.22/0.54  Evaluation took:
% 0.22/0.54    0.037 seconds of real time
% 0.22/0.54    0.029255 seconds of user run time
% 0.22/0.54    0.007077 seconds of system run time
% 0.22/0.54    0 calls to %EVAL
% 0.22/0.54    0 page faults and
% 0.22/0.54    2,104,280 bytes consed.
% 0.22/0.54  :PROOF-FOUND
% 0.22/0.54  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T06:50:26
% 0.22/0.54  :PROOF-FOUND
% 0.22/0.54  * 
%------------------------------------------------------------------------------