TSTP Solution File: SET590+3 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET590+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 05:10:36 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   11 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ member(X,difference(Y,Z))
    | member(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',difference_defn) ).

cnf(5,axiom,
    ( subset(X,Y)
    | member('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).

cnf(6,axiom,
    ( subset(X,Y)
    | ~ member('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).

cnf(8,negated_conjecture,
    ~ subset(difference('SKOLEMAAAV2','SKOLEMAAAV3'),'SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_th49) ).

cnf(9,plain,
    member('SKOLEMAAAV1'(difference('SKOLEMAAAV2','SKOLEMAAAV3'),'SKOLEMAAAV2'),difference('SKOLEMAAAV2','SKOLEMAAAV3')),
    inference('HYPERRESOLVE',[status(thm)],[8,5]) ).

cnf(10,plain,
    ~ member('SKOLEMAAAV1'(difference('SKOLEMAAAV2','SKOLEMAAAV3'),'SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[6,8]) ).

cnf(11,plain,
    ~ member('SKOLEMAAAV1'(difference('SKOLEMAAAV2','SKOLEMAAAV3'),'SKOLEMAAAV2'),difference('SKOLEMAAAV2',X)),
    inference('UR-RESOLVE',[status(thm)],[1,10]) ).

cnf(12,plain,
    $false,
    inference('REWRITE',[status(thm)],[9,11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem  : SET590+3 : TPTP v8.1.0. Released v2.2.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n014.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 23:11:35 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47  * 
% 0.20/0.47  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:11:35
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-09T23:11:35
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        14 formulas have been input or derived (from 10 formulas).
% 0.20/0.50  ;        12 (86%) were retained.  Of these,
% 0.20/0.50  ;            1 ( 8%) were simplified or subsumed later,
% 0.20/0.50  ;           11 (92%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   4%   Assert                       (4 calls)
% 0.20/0.50  ;     0.001   4%   Process new row              (13 calls)
% 0.20/0.50  ;     0.001   4%   Resolution                   (18 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (9 calls)
% 0.20/0.50  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.50  ;     0.000   0%   Condensing                   (6 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (6 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (6 calls)
% 0.20/0.50  ;     0.000   0%   Forward simplification       (13 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (12 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (1 call)
% 0.20/0.50  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.020  80%   Other
% 0.20/0.50  ;     0.025        Total
% 0.20/0.50  ;     0.027        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 18 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 6 entries (6 at peak, 6 added, 0 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.20/0.50  ;  Retrieved 0 possibly forward subsuming rows in 6 calls.
% 0.20/0.50  ;  Retrieved 0 possibly backward subsumed rows in 6 calls.
% 0.20/0.50  ; Path-index has 19 entries (20 at peak, 20 added, 1 deleted).
% 0.20/0.50  ; Path-index has 55 nodes (56 at peak, 56 added, 1 deleted).
% 0.20/0.50  ; Trie-index has 19 entries (20 at peak, 20 added, 1 deleted).
% 0.20/0.50  ; Trie-index has 41 nodes (42 at peak, 42 added, 1 deleted).
% 0.20/0.50  ; Retrieved 2 generalization terms in 4 calls.
% 0.20/0.50  ; Retrieved 7 instance terms in 5 calls.
% 0.20/0.50  ; Retrieved 166 unifiable terms in 49 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to give has 1 entry:
% 0.20/0.50  ;     1 with value (4 14)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.028 seconds of real time
% 0.20/0.50    0.025217 seconds of user run time
% 0.20/0.50    0.00268 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    1,789,056 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:11:35
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
%------------------------------------------------------------------------------