TSTP Solution File: SET899+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 05:13:13 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    5 (   4 unt;   1 nHn;   4 RR)
%            Number of literals    :    7 (   0 equ;   3 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,negated_conjecture,
    subset('SKOLEMAAAU3','SKOLEMAAAU4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_zfmisc_1) ).

cnf(6,negated_conjecture,
    ~ in('SKOLEMAAAU5','SKOLEMAAAU3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_zfmisc_1) ).

cnf(7,negated_conjecture,
    ~ subset('SKOLEMAAAU3',set_difference('SKOLEMAAAU4',singleton('SKOLEMAAAU5'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_zfmisc_1) ).

cnf(8,axiom,
    ( ~ subset(X,Y)
    | in(Z,X)
    | subset(X,set_difference(Y,singleton(Z))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).

cnf(9,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[8,5,6,7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET899+1 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n009.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sat Jul  9 23:40:22 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.46  /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-09T23:40:22
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-09T23:40:22
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        15 formulas have been input or derived (from 9 formulas).
% 0.20/0.51  ;         9 (60%) were retained.  Of these,
% 0.20/0.51  ;            9 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.001   4%   Assert                       (6 calls)
% 0.20/0.51  ;     0.001   4%   Process new row              (9 calls)
% 0.20/0.51  ;     0.000   0%   Resolution                   (16 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (8 calls)
% 0.20/0.51  ;     0.000   0%   Condensing                   (2 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (2 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (9 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (9 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.51  ;     0.022  88%   Other
% 0.20/0.51  ;     0.025        Total
% 0.20/0.51  ;     0.026        Real time
% 0.20/0.51  ; 
% 0.20/0.51  ; Term-hash-array has 15 terms in all.
% 0.20/0.51  ; Feature-vector-row-index has 2 entries (2 at peak, 2 added, 0 deleted).
% 0.20/0.51  ; Feature-vector-row-index has 8 nodes (8 at peak, 8 added, 0 deleted).
% 0.20/0.51  ;  Retrieved 0 possibly forward subsuming rows in 2 calls.
% 0.20/0.51  ;  Retrieved 0 possibly backward subsumed rows in 2 calls.
% 0.20/0.51  ; Path-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.51  ; Path-index has 42 nodes (42 at peak, 42 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 20 entries (20 at peak, 20 added, 0 deleted).
% 0.20/0.51  ; Trie-index has 37 nodes (37 at peak, 37 added, 0 deleted).
% 0.20/0.51  ; Retrieved 4 generalization terms in 6 calls.
% 0.20/0.51  ; Retrieved 6 instance terms in 6 calls.
% 0.20/0.51  ; Retrieved 45 unifiable terms in 42 calls.
% 0.20/0.51  ; 
% 0.20/0.51  ; The agenda of rows to process has 6 entries:
% 0.20/0.51  ;     2 with value 5               2 with value 10               2 with value 14
% 0.20/0.51  Evaluation took:
% 0.20/0.51    0.027 seconds of real time
% 0.20/0.51    0.024681 seconds of user run time
% 0.20/0.51    0.002147 seconds of system run time
% 0.20/0.51    0 calls to %EVAL
% 0.20/0.51    0 page faults and
% 0.20/0.51    1,469,448 bytes consed.
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T23:40:22
% 0.20/0.51  :PROOF-FOUND
% 0.20/0.51  * 
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