TSTP Solution File: SET095+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% 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 05:07:15 EDT 2022

% Result   : Theorem 0.47s 0.67s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   1 nHn;   8 RR)
%            Number of literals    :   12 (   2 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( subset(X,Y)
    | member('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(3,axiom,
    ( subset(X,Y)
    | ~ member('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

cnf(19,axiom,
    ( ~ member(X,singleton(Y))
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',singleton) ).

cnf(30,negated_conjecture,
    member('SKOLEMAAAV5','SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI44) ).

cnf(31,negated_conjecture,
    ~ subset(singleton('SKOLEMAAAV5'),'SKOLEMAAAV4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI44) ).

cnf(37,plain,
    member('SKOLEMAAAV1'(singleton('SKOLEMAAAV5'),'SKOLEMAAAV4'),singleton('SKOLEMAAAV5')),
    inference('HYPERRESOLVE',[status(thm)],[31,2]) ).

cnf(39,plain,
    ~ member('SKOLEMAAAV1'(singleton('SKOLEMAAAV5'),'SKOLEMAAAV4'),'SKOLEMAAAV4'),
    inference('UR-RESOLVE',[status(thm)],[3,31]) ).

cnf(1321,plain,
    'SKOLEMAAAV1'(singleton('SKOLEMAAAV5'),'SKOLEMAAAV4') = 'SKOLEMAAAV5',
    inference('HYPERRESOLVE',[status(thm)],[19,37]) ).

cnf(1322,plain,
    $false,
    inference('REWRITE',[status(thm)],[39,30,1321,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET095+4 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 00:12:52 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.48  #<PACKAGE "SNARK-USER">
% 0.21/0.48  * 
% 0.21/0.48  SNARK-TPTP-OPTIONS
% 0.21/0.48  * 
% 0.21/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48   (USE-FACTORING :POS)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48  * 
% 0.21/0.48  "."
% 0.21/0.48  * 
% 0.21/0.48  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T00:12:52
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-11T00:12:52
% 0.47/0.67  
% 0.47/0.67  
% 0.47/0.67  #||
% 0.47/0.67  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.67  % SZS output start Refutation
% See solution above
% 0.54/0.69  ||#
% 0.54/0.69  
% 0.54/0.69  ; Summary of computation:
% 0.54/0.69  ;      2500 formulas have been input or derived (from 160 formulas).
% 0.54/0.69  ;      1322 (53%) were retained.  Of these,
% 0.54/0.69  ;           42 ( 3%) were simplified or subsumed later,
% 0.54/0.69  ;         1280 (97%) are still being kept.
% 0.54/0.69  ; 
% 0.54/0.70  ; Run time in seconds excluding printing time:
% 0.54/0.70  ;     0.004   2%   Read assertion file          (1 call)
% 0.54/0.70  ;     0.001   1%   Assert                       (12 calls)
% 0.54/0.70  ;     0.074  38%   Process new row              (2,237 calls)
% 0.54/0.70  ;     0.042  22%   Resolution                   (318 calls)
% 0.54/0.70  ;     0.001   1%   Paramodulation               (159 calls)
% 0.54/0.70  ;     0.000   0%   Factoring                    (2 calls)
% 0.54/0.70  ;     0.001   1%   Condensing                   (123 calls)
% 0.54/0.70  ;     0.001   1%   Forward subsumption          (123 calls)
% 0.54/0.70  ;     0.001   1%   Backward subsumption         (123 calls)
% 0.54/0.70  ;     0.000   0%   Clause clause subsumption    (135 calls)
% 0.54/0.70  ;     0.022  11%   Forward simplification       (2,237 calls)
% 0.54/0.70  ;     0.011   6%   Backward simplification      (1,322 calls)
% 0.54/0.70  ;     0.000   0%   Ordering                     (169 calls)
% 0.54/0.70  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.54/0.70  ;     0.000   0%   Purity testing               (1 call)
% 0.54/0.70  ;     0.036  19%   Other
% 0.54/0.70  ;     0.194        Total
% 0.54/0.70  ;     0.215        Real time
% 0.54/0.70  ; 
% 0.54/0.70  ; Term-hash-array has 2,338 terms in all.
% 0.54/0.70  ; Feature-vector-row-index has 121 entries (121 at peak, 123 added, 2 deleted).
% 0.54/0.70  ; Feature-vector-row-index has 448 nodes (448 at peak, 459 added, 11 deleted).
% 0.54/0.70  ;  Retrieved 99 possibly forward subsuming rows in 123 calls.
% 0.54/0.70  ;  Retrieved 36 possibly backward subsumed rows in 123 calls.
% 0.54/0.70  ; Path-index has 2,263 entries (2,334 at peak, 2,341 added, 78 deleted).
% 0.54/0.70  ; Path-index has 2,727 nodes (2,759 at peak, 2,764 added, 37 deleted).
% 0.54/0.70  ; Trie-index has 2,263 entries (2,334 at peak, 2,341 added, 78 deleted).
% 0.54/0.70  ; Trie-index has 5,844 nodes (6,035 at peak, 6,056 added, 212 deleted).
% 0.54/0.70  ; Retrieved 973 generalization terms in 2,349 calls.
% 0.54/0.70  ; Retrieved 1,234 instance terms in 1,198 calls.
% 0.54/0.70  ; Retrieved 49,128 unifiable terms in 2,060 calls.
% 0.54/0.70  ; 
% 0.54/0.70  ; The agenda of backward simplifiable rows to process has 35 entries:
% 0.54/0.70  ;    35 with value 0
% 0.54/0.70  ; The agenda of rows to process has 65 entries:
% 0.54/0.70  ;     1 with value 11             11 with value 15               9 with value 21
% 0.54/0.70  ;     3 with value 12             12 with value 16               1 with value 23
% 0.54/0.70  ;     4 with value 13             11 with value 18               1 with value 26
% 0.54/0.70  ;     7 with value 14              4 with value 20               1 with value 27
% 0.54/0.70  ; The agenda of rows to give has 1122 entries:
% 0.54/0.70  ;   137 with value (4 11)         28 with value (4 18)           1 with value (4 24)
% 0.54/0.70  ;   146 with value (4 12)         10 with value (4 19)           7 with value (4 25)
% 0.54/0.70  ;   169 with value (4 13)         14 with value (4 20)           1 with value (4 26)
% 0.54/0.70  ;   222 with value (4 14)          3 with value (4 21)           1 with value (4 27)
% 0.54/0.70  ;    97 with value (4 15)          7 with value (4 22)           3 with value (4 28)
% 0.54/0.70  ;   217 with value (4 16)          9 with value (4 23)           2 with value (4 30)
% 0.54/0.70  ;    48 with value (4 17)
% 0.54/0.70  Evaluation took:
% 0.54/0.70    0.216 seconds of real time
% 0.54/0.70    0.188986 seconds of user run time
% 0.54/0.70    0.026942 seconds of system run time
% 0.54/0.70    [Run times include 0.02 seconds GC run time.]
% 0.54/0.70    0 calls to %EVAL
% 0.54/0.70    0 page faults and
% 0.54/0.70    12,955,632 bytes consed.
% 0.54/0.70  :PROOF-FOUND
% 0.54/0.70  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T00:12:52
% 0.54/0.70  :PROOF-FOUND
% 0.54/0.70  * 
%------------------------------------------------------------------------------