TSTP Solution File: SET027+4 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 05:06:07 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   7 unt;   1 nHn;   9 RR)
%            Number of literals    :   14 (   0 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ subset(X,Y)
    | ~ member(Z,X)
    | member(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

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(30,negated_conjecture,
    subset('SKOLEMAAAV4','SKOLEMAAAV5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI03) ).

cnf(31,negated_conjecture,
    subset('SKOLEMAAAV5','SKOLEMAAAV6'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI03) ).

cnf(32,negated_conjecture,
    ~ subset('SKOLEMAAAV4','SKOLEMAAAV6'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thI03) ).

cnf(40,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV6'),'SKOLEMAAAV4'),
    inference('HYPERRESOLVE',[status(thm)],[32,2]) ).

cnf(42,plain,
    ~ member('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV6'),'SKOLEMAAAV6'),
    inference('UR-RESOLVE',[status(thm)],[3,32]) ).

cnf(174,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV4','SKOLEMAAAV6'),'SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[1,40,30]) ).

cnf(196,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[1,42,31]),174]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET027+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n019.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jul 10 08:53:53 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T08:53:53
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T08:53:53
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       321 formulas have been input or derived (from 48 formulas).
% 0.20/0.53  ;       196 (61%) were retained.  Of these,
% 0.20/0.53  ;          196 (100%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.004   6%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.001   2%   Assert                       (12 calls)
% 0.20/0.53  ;     0.019  31%   Process new row              (282 calls)
% 0.20/0.53  ;     0.007  11%   Resolution                   (94 calls)
% 0.20/0.53  ;     0.000   0%   Paramodulation               (47 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (2 calls)
% 0.20/0.53  ;     0.000   0%   Condensing                   (76 calls)
% 0.20/0.53  ;     0.001   2%   Forward subsumption          (76 calls)
% 0.20/0.53  ;     0.001   2%   Backward subsumption         (76 calls)
% 0.20/0.53  ;     0.001   2%   Clause clause subsumption    (58 calls)
% 0.20/0.53  ;     0.004   6%   Forward simplification       (282 calls)
% 0.20/0.53  ;     0.003   5%   Backward simplification      (196 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (96 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.021  34%   Other
% 0.20/0.53  ;     0.062        Total
% 0.20/0.53  ;     0.064        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 387 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 76 entries (76 at peak, 76 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 279 nodes (279 at peak, 279 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 46 possibly forward subsuming rows in 76 calls.
% 0.20/0.53  ;  Retrieved 16 possibly backward subsumed rows in 76 calls.
% 0.20/0.53  ; Path-index has 391 entries (391 at peak, 391 added, 0 deleted).
% 0.20/0.53  ; Path-index has 672 nodes (672 at peak, 672 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 391 entries (391 at peak, 391 added, 0 deleted).
% 0.20/0.53  ; Trie-index has 886 nodes (886 at peak, 886 added, 0 deleted).
% 0.20/0.53  ; Retrieved 88 generalization terms in 333 calls.
% 0.20/0.53  ; Retrieved 123 instance terms in 119 calls.
% 0.20/0.53  ; Retrieved 5,880 unifiable terms in 421 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 16 entries:
% 0.20/0.53  ;     1 with value 9               2 with value 12               1 with value 16
% 0.20/0.53  ;     9 with value 11              3 with value 13
% 0.20/0.53  ; The agenda of rows to give has 148 entries:
% 0.20/0.53  ;    15 with value (4 8)           4 with value (4 15)           3 with value (4 22)
% 0.20/0.53  ;     9 with value (4 9)           9 with value (4 16)           5 with value (4 23)
% 0.20/0.53  ;     6 with value (4 10)          6 with value (4 18)           1 with value (4 24)
% 0.20/0.53  ;    31 with value (4 11)          3 with value (4 19)           1 with value (4 26)
% 0.20/0.53  ;    37 with value (4 12)          3 with value (4 20)           1 with value (4 27)
% 0.20/0.53  ;     6 with value (4 13)          3 with value (4 21)           2 with value (4 30)
% 0.20/0.53  ;     3 with value (4 14)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.065 seconds of real time
% 0.20/0.53    0.060948 seconds of user run time
% 0.20/0.53    0.00422 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    3,578,176 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T08:53:53
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------