TSTP Solution File: SEU164+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU164+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:19:43 EDT 2022

% Result   : Theorem 0.61s 0.81s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   8 unt;   2 nHn;  10 RR)
%            Number of literals    :   27 (   6 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    ( X != powerset(Y)
    | ~ in(Z,X)
    | subset(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

cnf(7,axiom,
    ( X != powerset(Y)
    | in(Z,X)
    | ~ subset(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).

cnf(10,axiom,
    ( ~ subset(X,Y)
    | ~ in(Z,X)
    | in(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(16,axiom,
    ( X = union(Y)
    | ~ in('SKOLEMAAAW5'(X,Y),X)
    | ~ in('SKOLEMAAAW5'(X,Y),Z)
    | ~ in(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).

cnf(17,axiom,
    ( X = union(Y)
    | in('SKOLEMAAAW5'(X,Y),X)
    | in('SKOLEMAAAW5'(X,Y),'SKOLEMAAAW6'(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).

cnf(18,axiom,
    ( X = union(Y)
    | in('SKOLEMAAAW5'(X,Y),X)
    | in('SKOLEMAAAW6'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tarski) ).

cnf(23,axiom,
    subset(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

cnf(26,negated_conjecture,
    union(powerset('SKOLEMAAAW10')) != 'SKOLEMAAAW10',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t99_zfmisc_1) ).

cnf(31,plain,
    in(X,powerset(X)),
    inference('HYPERRESOLVE',[status(thm)],[7,23,theory(equality)]) ).

cnf(95,plain,
    ~ in('SKOLEMAAAW5'('SKOLEMAAAW10',powerset('SKOLEMAAAW10')),'SKOLEMAAAW10'),
    inference('UR-RESOLVE',[status(thm)],[16,31,26]) ).

cnf(155,plain,
    in('SKOLEMAAAW6'('SKOLEMAAAW10',powerset('SKOLEMAAAW10')),powerset('SKOLEMAAAW10')),
    inference('UR-RESOLVE',[status(thm)],[18,95,26]) ).

cnf(160,plain,
    in('SKOLEMAAAW5'('SKOLEMAAAW10',powerset('SKOLEMAAAW10')),'SKOLEMAAAW6'('SKOLEMAAAW10',powerset('SKOLEMAAAW10'))),
    inference('UR-RESOLVE',[status(thm)],[17,95,26]) ).

cnf(1244,plain,
    subset('SKOLEMAAAW6'('SKOLEMAAAW10',powerset('SKOLEMAAAW10')),'SKOLEMAAAW10'),
    inference('HYPERRESOLVE',[status(thm)],[6,155,theory(equality)]) ).

cnf(1586,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[10,1244,95]),160]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU164+3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.08/0.15  % Command  : run-snark %s %d
% 0.15/0.37  % Computer : n011.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 600
% 0.15/0.37  % DateTime : Sun Jun 19 03:13:08 EDT 2022
% 0.15/0.37  % CPUTime  : 
% 0.22/0.51  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.52  * 
% 0.22/0.52  * 
% 0.22/0.53  #<PACKAGE "SNARK-USER">
% 0.22/0.53  * 
% 0.22/0.53  SNARK-TPTP-OPTIONS
% 0.22/0.53  * 
% 0.22/0.53  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.53   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.53   (USE-FACTORING :POS)
% 0.22/0.53   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.53   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.53   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.53   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.53   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.53   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.53   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.53   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.53   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.53   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.53  * 
% 0.22/0.53  "."
% 0.22/0.53  * 
% 0.22/0.53  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T03:13:08
% 0.22/0.53  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T03:13:08
% 0.61/0.81  
% 0.61/0.81  
% 0.61/0.81  #||
% 0.61/0.81  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.81  % SZS output start Refutation
% See solution above
% 0.61/0.81  ||#
% 0.61/0.81  
% 0.61/0.81  ; Summary of computation:
% 0.61/0.81  ;      2070 formulas have been input or derived (from 78 formulas).
% 0.61/0.81  ;      1586 (77%) were retained.  Of these,
% 0.61/0.81  ;         1586 (100%) are still being kept.
% 0.61/0.81  ; 
% 0.61/0.81  ; Run time in seconds excluding printing time:
% 0.61/0.81  ;     0.003   1%   Read assertion file          (1 call)
% 0.61/0.81  ;     0.001   0%   Assert                       (11 calls)
% 0.61/0.81  ;     0.124  44%   Process new row              (2,021 calls)
% 0.61/0.81  ;     0.053  19%   Resolution                   (154 calls)
% 0.61/0.81  ;     0.009   3%   Paramodulation               (77 calls)
% 0.61/0.81  ;     0.000   0%   Factoring                    (6 calls)
% 0.61/0.81  ;     0.003   1%   Condensing                   (139 calls)
% 0.61/0.81  ;     0.009   3%   Forward subsumption          (139 calls)
% 0.61/0.81  ;     0.003   1%   Backward subsumption         (125 calls)
% 0.61/0.81  ;     0.001   0%   Clause clause subsumption    (206 calls)
% 0.61/0.81  ;     0.027  10%   Forward simplification       (2,021 calls)
% 0.61/0.81  ;     0.014   5%   Backward simplification      (1,586 calls)
% 0.61/0.81  ;     0.004   1%   Ordering                     (971 calls)
% 0.61/0.81  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.61/0.81  ;     0.001   0%   Purity testing               (1 call)
% 0.61/0.81  ;     0.029  10%   Other
% 0.61/0.81  ;     0.281        Total
% 0.61/0.81  ;     0.283        Real time
% 0.61/0.81  ; 
% 0.61/0.81  ; Term-hash-array has 4,173 terms in all.
% 0.61/0.81  ; Feature-vector-row-index has 125 entries (125 at peak, 125 added, 0 deleted).
% 0.61/0.81  ; Feature-vector-row-index has 528 nodes (528 at peak, 528 added, 0 deleted).
% 0.61/0.81  ;  Retrieved 190 possibly forward subsuming rows in 139 calls.
% 0.61/0.81  ;  Retrieved 30 possibly backward subsumed rows in 125 calls.
% 0.61/0.81  ; Path-index has 4,176 entries (4,176 at peak, 4,176 added, 0 deleted).
% 0.61/0.81  ; Path-index has 9,369 nodes (9,369 at peak, 9,369 added, 0 deleted).
% 0.61/0.81  ; Trie-index has 4,176 entries (4,176 at peak, 4,176 added, 0 deleted).
% 0.61/0.81  ; Trie-index has 11,052 nodes (11,052 at peak, 11,052 added, 0 deleted).
% 0.61/0.81  ; Retrieved 2,568 generalization terms in 2,281 calls.
% 0.61/0.81  ; Retrieved 1,524 instance terms in 1,460 calls.
% 0.61/0.81  ; Retrieved 50,829 unifiable terms in 1,927 calls.
% 0.61/0.81  ; 
% 0.61/0.81  ; The agenda of rows to process has 18 entries:
% 0.61/0.81  ;    12 with value 18              1 with value 22               1 with value 39
% 0.61/0.81  ;     1 with value 19              2 with value 38               1 with value 40
% 0.61/0.81  ; The agenda of rows to give has 1508 entries:
% 0.61/0.81  ;    25 with value (4 14)        248 with value (4 24)           1 with value (4 34)
% 0.61/0.81  ;    47 with value (4 15)         25 with value (4 25)           2 with value (4 39)
% 0.61/0.81  ;    74 with value (4 16)         52 with value (4 26)           5 with value (4 40)
% 0.61/0.81  ;    92 with value (4 17)         34 with value (4 27)           5 with value (4 41)
% 0.61/0.81  ;    85 with value (4 18)        240 with value (4 28)           7 with value (4 42)
% 0.61/0.81  ;    77 with value (4 19)          2 with value (4 29)           3 with value (4 43)
% 0.61/0.81  ;   136 with value (4 20)         10 with value (4 30)           4 with value (4 44)
% 0.61/0.81  ;    94 with value (4 21)          2 with value (4 31)           1 with value (4 45)
% 0.61/0.81  ;   150 with value (4 22)          3 with value (4 32)           1 with value (4 46)
% 0.61/0.81  ;    76 with value (4 23)          7 with value (4 33)
% 0.61/0.81  Evaluation took:
% 0.61/0.81    0.284 seconds of real time
% 0.61/0.81    0.26447 seconds of user run time
% 0.61/0.81    0.018631 seconds of system run time
% 0.61/0.81    [Run times include 0.019 seconds GC run time.]
% 0.61/0.81    0 calls to %EVAL
% 0.61/0.81    0 page faults and
% 0.61/0.81    22,125,136 bytes consed.
% 0.61/0.81  :PROOF-FOUND
% 0.61/0.81  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T03:13:09
% 0.61/0.81  :PROOF-FOUND
% 0.61/0.81  * 
%------------------------------------------------------------------------------