TSTP Solution File: SEU160+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU160+1 : TPTP v8.1.0. Released v3.3.0.
% 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 14:19:39 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   10 (   4 unt;   3 nHn;   7 RR)
%            Number of literals    :   18 (  10 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    6 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    subset(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

cnf(5,negated_conjecture,
    ( ~ subset('SKOLEMAAAV3',singleton('SKOLEMAAAV4'))
    | 'SKOLEMAAAV3' != empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).

cnf(6,negated_conjecture,
    ( ~ subset('SKOLEMAAAV3',singleton('SKOLEMAAAV4'))
    | 'SKOLEMAAAV3' != singleton('SKOLEMAAAV4') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).

cnf(7,negated_conjecture,
    ( subset('SKOLEMAAAV3',singleton('SKOLEMAAAV4'))
    | 'SKOLEMAAAV3' = empty_set
    | 'SKOLEMAAAV3' = singleton('SKOLEMAAAV4') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_zfmisc_1) ).

cnf(8,axiom,
    ( ~ subset(X,singleton(Y))
    | X = empty_set
    | X = singleton(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).

cnf(9,axiom,
    ( subset(X,singleton(Y))
    | X != empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).

cnf(11,plain,
    subset(empty_set,singleton(X)),
    inference('HYPERRESOLVE',[status(thm)],[9,theory(equality)]) ).

cnf(12,plain,
    ( 'SKOLEMAAAV3' = empty_set
    | 'SKOLEMAAAV3' = singleton('SKOLEMAAAV4') ),
    inference('HYPERRESOLVE',[status(thm)],[8,7]) ).

cnf(15,plain,
    'SKOLEMAAAV3' = empty_set,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,12,theory(equality)]),3,theory(equality)]) ).

cnf(16,plain,
    $false,
    inference('REWRITE',[status(thm)],[5,11,15,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU160+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n011.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 : Mon Jun 20 03:24:09 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T03:24:09
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-20T03:24:09
% 0.20/0.50  
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        28 formulas have been input or derived (from 13 formulas).
% 0.20/0.50  ;        16 (57%) were retained.  Of these,
% 0.20/0.50  ;            6 (38%) were simplified or subsumed later,
% 0.20/0.50  ;           10 (62%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.001   4%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   4%   Assert                       (8 calls)
% 0.20/0.50  ;     0.000   0%   Process new row              (20 calls)
% 0.20/0.50  ;     0.002   7%   Resolution                   (24 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (12 calls)
% 0.20/0.50  ;     0.000   0%   Factoring                    (2 calls)
% 0.20/0.50  ;     0.000   0%   Condensing                   (9 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (9 calls)
% 0.20/0.50  ;     0.000   0%   Backward subsumption         (9 calls)
% 0.20/0.50  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.20/0.50  ;     0.001   4%   Forward simplification       (20 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (16 calls)
% 0.20/0.50  ;     0.000   0%   Ordering                     (21 calls)
% 0.20/0.50  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.021  78%   Other
% 0.20/0.50  ;     0.027        Total
% 0.20/0.50  ;     0.030        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 15 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 3 entries (8 at peak, 9 added, 6 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 12 nodes (35 at peak, 45 added, 33 deleted).
% 0.20/0.50  ;  Retrieved 1 possibly forward subsuming row in 9 calls.
% 0.20/0.50  ;  Retrieved 3 possibly backward subsumed rows in 9 calls.
% 0.20/0.50  ; Path-index has 16 entries (20 at peak, 21 added, 5 deleted).
% 0.20/0.50  ; Path-index has 26 nodes (31 at peak, 32 added, 6 deleted).
% 0.20/0.50  ; Trie-index has 16 entries (20 at peak, 21 added, 5 deleted).
% 0.20/0.50  ; Trie-index has 27 nodes (34 at peak, 35 added, 8 deleted).
% 0.20/0.50  ; Retrieved 12 generalization terms in 14 calls.
% 0.20/0.50  ; Retrieved 6 instance terms in 6 calls.
% 0.20/0.50  ; Retrieved 98 unifiable terms in 63 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.20/0.50  ;     4 with value 0
% 0.20/0.50  ; The agenda of rows to process has 2 entries:
% 0.20/0.50  ;     1 with value 14              1 with value 18
% 0.20/0.50  ; The agenda of rows to give has 1 entry:
% 0.20/0.50  ;     1 with value (4 6)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.03 seconds of real time
% 0.20/0.50    0.026061 seconds of user run time
% 0.20/0.50    0.003991 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    1,907,672 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T03:24:09
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
%------------------------------------------------------------------------------