TSTP Solution File: SEU117+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 14:19:12 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;   9 RR)
%            Number of literals    :   16 (   1 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ element(X,Y)
    | empty(Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

cnf(11,axiom,
    preboolean(finite_subsets(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_finsub_1) ).

cnf(16,axiom,
    ~ empty(finite_subsets(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_finsub_1) ).

cnf(46,axiom,
    ( element(X,powerset(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).

cnf(49,negated_conjecture,
    element('SKOLEMAAAV12',finite_subsets('SKOLEMAAAV11')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_finsub_1) ).

cnf(50,negated_conjecture,
    ~ element('SKOLEMAAAV12',powerset('SKOLEMAAAV11')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_finsub_1) ).

cnf(51,axiom,
    ( ~ preboolean(X)
    | X != finite_subsets(Y)
    | ~ in(Z,X)
    | subset(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_finsub_1) ).

cnf(113,plain,
    ~ subset('SKOLEMAAAV12','SKOLEMAAAV11'),
    inference('UR-RESOLVE',[status(thm)],[46,50]) ).

cnf(118,plain,
    in('SKOLEMAAAV12',finite_subsets('SKOLEMAAAV11')),
    inference('UR-RESOLVE',[status(thm)],[4,49,16]) ).

cnf(149,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[51,113,11,theory(equality)]),118]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU117+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n022.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 05:11:31 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T05:11:32
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-19T05:11:32
% 0.19/0.49  WARNING:
% 0.19/0.49     |cap_closed| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |epsilon_transitive| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |epsilon_connected| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49  WARNING:
% 0.19/0.49     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       236 formulas have been input or derived (from 62 formulas).
% 0.19/0.52  ;       149 (63%) were retained.  Of these,
% 0.19/0.52  ;            9 ( 6%) were simplified or subsumed later,
% 0.19/0.52  ;          140 (94%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.007  13%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.002   4%   Assert                       (32 calls)
% 0.19/0.52  ;     0.009  17%   Process new row              (217 calls)
% 0.19/0.52  ;     0.004   8%   Resolution                   (122 calls)
% 0.19/0.52  ;     0.001   2%   Paramodulation               (61 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (5 calls)
% 0.19/0.52  ;     0.001   2%   Condensing                   (56 calls)
% 0.19/0.52  ;     0.001   2%   Forward subsumption          (56 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (50 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (11 calls)
% 0.19/0.52  ;     0.002   4%   Forward simplification       (206 calls)
% 0.19/0.52  ;     0.000   0%   Backward simplification      (149 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (69 calls)
% 0.19/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.001   2%   Purity testing               (1 call)
% 0.19/0.52  ;     0.024  46%   Other
% 0.19/0.52  ;     0.052        Total
% 0.19/0.52  ;     0.055        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 220 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 50 entries (50 at peak, 50 added, 0 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 162 nodes (162 at peak, 162 added, 0 deleted).
% 0.19/0.52  ;  Retrieved 11 possibly forward subsuming rows in 56 calls.
% 0.19/0.52  ;  Retrieved 1 possibly backward subsumed row in 50 calls.
% 0.19/0.52  ; Path-index has 217 entries (219 at peak, 227 added, 10 deleted).
% 0.19/0.52  ; Path-index has 357 nodes (359 at peak, 367 added, 10 deleted).
% 0.19/0.52  ; Trie-index has 217 entries (219 at peak, 227 added, 10 deleted).
% 0.19/0.52  ; Trie-index has 434 nodes (436 at peak, 454 added, 20 deleted).
% 0.19/0.52  ; Retrieved 71 generalization terms in 255 calls.
% 0.19/0.52  ; Retrieved 122 instance terms in 98 calls.
% 0.19/0.52  ; Retrieved 1,812 unifiable terms in 488 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of rows to give has 82 entries:
% 0.19/0.52  ;    16 with value (4 6)           7 with value (4 10)           1 with value (4 20)
% 0.19/0.52  ;    10 with value (4 7)          10 with value (4 11)           1 with value (4 21)
% 0.19/0.52  ;    23 with value (4 8)           4 with value (4 13)           2 with value (4 26)
% 0.19/0.52  ;     4 with value (4 9)           2 with value (4 16)           2 with value (4 27)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.055 seconds of real time
% 0.19/0.52    0.048778 seconds of user run time
% 0.19/0.52    0.005893 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    3,029,456 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T05:11:32
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------