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

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU113+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n005.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 14:19:11 EDT 2022

% Result   : Theorem 0.86s 1.04s
% Output   : Refutation 0.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   8 unt;   2 nHn;  11 RR)
%            Number of literals    :   21 (   1 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(9,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(10,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

cnf(11,axiom,
    ( ~ preboolean(X)
    | X != finite_subsets(Y)
    | ~ in(Z,X)
    | subset(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_finsub_1) ).

cnf(17,axiom,
    preboolean(finite_subsets(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_finsub_1) ).

cnf(19,axiom,
    ~ empty(powerset(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_finsub_1) ).

cnf(50,negated_conjecture,
    ~ subset(finite_subsets('SKOLEMAAAV13'),powerset('SKOLEMAAAV13')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_finsub_1) ).

cnf(51,axiom,
    ( ~ element(X,Y)
    | empty(Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).

cnf(53,axiom,
    ( element(X,powerset(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

cnf(115,plain,
    in('SKOLEMAAAV1'(finite_subsets('SKOLEMAAAV13'),powerset('SKOLEMAAAV13')),finite_subsets('SKOLEMAAAV13')),
    inference('HYPERRESOLVE',[status(thm)],[50,9]) ).

cnf(117,plain,
    ~ in('SKOLEMAAAV1'(finite_subsets('SKOLEMAAAV13'),powerset('SKOLEMAAAV13')),powerset('SKOLEMAAAV13')),
    inference('UR-RESOLVE',[status(thm)],[10,50]) ).

cnf(2325,plain,
    subset('SKOLEMAAAV1'(finite_subsets('SKOLEMAAAV13'),powerset('SKOLEMAAAV13')),'SKOLEMAAAV13'),
    inference('HYPERRESOLVE',[status(thm)],[11,115,17,theory(equality)]) ).

cnf(2333,plain,
    ~ element('SKOLEMAAAV1'(finite_subsets('SKOLEMAAAV13'),powerset('SKOLEMAAAV13')),powerset('SKOLEMAAAV13')),
    inference('UR-RESOLVE',[status(thm)],[51,117,19]) ).

cnf(4517,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[53,2325]),2333]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU113+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n005.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 Jun 19 04:08:38 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 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  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:08:38
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-19T04:08:38
% 0.19/0.48  WARNING:
% 0.19/0.48     |cap_closed| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |epsilon_transitive| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |epsilon_connected| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48  WARNING:
% 0.19/0.48     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.86/1.04  
% 0.86/1.04  
% 0.86/1.04  #||
% 0.86/1.04  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.86/1.04  % SZS output start Refutation
% See solution above
% 0.86/1.04  ||#
% 0.86/1.04  
% 0.86/1.04  ; Summary of computation:
% 0.86/1.04  ;      9055 formulas have been input or derived (from 772 formulas).
% 0.86/1.04  ;      4517 (50%) were retained.  Of these,
% 0.86/1.04  ;           51 ( 1%) were simplified or subsumed later,
% 0.86/1.04  ;         4466 (99%) are still being kept.
% 0.86/1.04  ; 
% 0.86/1.04  ; Run time in seconds excluding printing time:
% 0.86/1.04  ;     0.007   1%   Read assertion file          (1 call)
% 0.86/1.04  ;     0.002   0%   Assert                       (33 calls)
% 0.86/1.04  ;     0.199  35%   Process new row              (7,837 calls)
% 0.86/1.04  ;     0.210  37%   Resolution                   (1,542 calls)
% 0.86/1.04  ;     0.012   2%   Paramodulation               (771 calls)
% 0.86/1.04  ;     0.000   0%   Factoring                    (15 calls)
% 0.86/1.04  ;     0.003   1%   Condensing                   (361 calls)
% 0.86/1.04  ;     0.011   2%   Forward subsumption          (361 calls)
% 0.86/1.04  ;     0.003   1%   Backward subsumption         (319 calls)
% 0.86/1.04  ;     0.001   0%   Clause clause subsumption    (164 calls)
% 0.86/1.04  ;     0.054   9%   Forward simplification       (7,780 calls)
% 0.86/1.04  ;     0.021   4%   Backward simplification      (4,517 calls)
% 0.86/1.04  ;     0.000   0%   Ordering                     (323 calls)
% 0.86/1.04  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.86/1.04  ;     0.001   0%   Purity testing               (1 call)
% 0.86/1.04  ;     0.046   8%   Other
% 0.86/1.04  ;     0.570        Total
% 0.86/1.04  ;     0.572        Real time
% 0.86/1.04  ; 
% 0.86/1.04  ; Term-hash-array has 6,125 terms in all.
% 0.86/1.04  ; Feature-vector-row-index has 319 entries (319 at peak, 319 added, 0 deleted).
% 0.86/1.04  ; Feature-vector-row-index has 1,560 nodes (1,560 at peak, 1,560 added, 0 deleted).
% 0.86/1.04  ;  Retrieved 266 possibly forward subsuming rows in 361 calls.
% 0.86/1.04  ;  Retrieved 36 possibly backward subsumed rows in 319 calls.
% 0.86/1.04  ; Path-index has 6,073 entries (6,073 at peak, 6,132 added, 59 deleted).
% 0.86/1.04  ; Path-index has 8,192 nodes (8,192 at peak, 8,228 added, 36 deleted).
% 0.86/1.04  ; Trie-index has 6,073 entries (6,073 at peak, 6,132 added, 59 deleted).
% 0.86/1.04  ; Trie-index has 18,820 nodes (18,820 at peak, 18,958 added, 138 deleted).
% 0.86/1.04  ; Retrieved 5,984 generalization terms in 9,787 calls.
% 0.86/1.04  ; Retrieved 4,244 instance terms in 4,197 calls.
% 0.86/1.04  ; Retrieved 78,520 unifiable terms in 18,099 calls.
% 0.86/1.04  ; 
% 0.86/1.04  ; The agenda of rows to process has 5 entries:
% 0.86/1.04  ;     3 with value 14              1 with value 15               1 with value 24
% 0.86/1.04  ; The agenda of rows to give has 3705 entries:
% 0.86/1.04  ;     1 with value (4 10)        108 with value (4 18)          43 with value (4 24)
% 0.86/1.04  ;   253 with value (4 13)        674 with value (4 19)          25 with value (4 25)
% 0.86/1.04  ;   441 with value (4 14)        659 with value (4 20)           2 with value (4 26)
% 0.86/1.04  ;   763 with value (4 15)         17 with value (4 21)           2 with value (4 27)
% 0.86/1.04  ;   374 with value (4 16)         10 with value (4 22)          23 with value (4 30)
% 0.86/1.04  ;   222 with value (4 17)          8 with value (4 23)          80 with value (4 31)
% 0.86/1.04  Evaluation took:
% 0.86/1.04    0.573 seconds of real time
% 0.86/1.04    0.504665 seconds of user run time
% 0.86/1.04    0.067753 seconds of system run time
% 0.86/1.04    [Run times include 0.049 seconds GC run time.]
% 0.86/1.04    0 calls to %EVAL
% 0.86/1.04    0 page faults and
% 0.86/1.04    42,306,256 bytes consed.
% 0.86/1.04  :PROOF-FOUND
% 0.86/1.04  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:08:39
% 0.86/1.04  :PROOF-FOUND
% 0.86/1.04  * 
%------------------------------------------------------------------------------