TSTP Solution File: SEU150+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU150+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 14:19:33 EDT 2022

% Result   : Theorem 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    8 (   7 unt;   0 nHn;   8 RR)
%            Number of literals    :    9 (   8 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( singleton(X) != unordered_pair(Y,Z)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).

cnf(4,negated_conjecture,
    singleton('SKOLEMAAAV3') = unordered_pair('SKOLEMAAAV4','SKOLEMAAAV5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).

cnf(5,negated_conjecture,
    'SKOLEMAAAV4' != 'SKOLEMAAAV5',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).

cnf(6,plain,
    'SKOLEMAAAV3' = 'SKOLEMAAAV4',
    inference('HYPERRESOLVE',[status(thm)],[3,4]) ).

cnf(7,plain,
    singleton('SKOLEMAAAV3') = unordered_pair('SKOLEMAAAV3','SKOLEMAAAV5'),
    inference('REWRITE',[status(thm)],[4,6,theory(equality)]) ).

cnf(8,plain,
    'SKOLEMAAAV3' != 'SKOLEMAAAV5',
    inference('REWRITE',[status(thm)],[5,6,theory(equality)]) ).

cnf(9,plain,
    singleton('SKOLEMAAAV3') != unordered_pair('SKOLEMAAAV5',X),
    inference('UR-RESOLVE',[status(thm)],[3,8]) ).

cnf(10,plain,
    $false,
    inference('REWRITE',[status(thm)],[7,9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU150+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n028.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sun Jun 19 15:36:00 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 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  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T15:36:00
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-19T15:36:00
% 0.20/0.48  
% 0.20/0.48  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.49  ; Declaring unordered_pair to be commutative.
% 0.20/0.49  
% 0.20/0.49  #||
% 0.20/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49  % SZS output start Refutation
% See solution above
% 0.20/0.49  ||#
% 0.20/0.49  
% 0.20/0.49  ; Summary of computation:
% 0.20/0.49  ;        20 formulas have been input or derived (from 7 formulas).
% 0.20/0.49  ;        10 (50%) were retained.  Of these,
% 0.20/0.49  ;            3 (30%) were simplified or subsumed later,
% 0.20/0.49  ;            7 (70%) are still being kept.
% 0.20/0.49  ; 
% 0.20/0.49  ; Run time in seconds excluding printing time:
% 0.20/0.49  ;     0.002   8%   Read assertion file          (1 call)
% 0.20/0.49  ;     0.000   0%   Assert                       (5 calls)
% 0.20/0.49  ;     0.000   0%   Process new row              (19 calls)
% 0.20/0.49  ;     0.001   4%   Resolution                   (12 calls)
% 0.20/0.49  ;     0.000   0%   Paramodulation               (6 calls)
% 0.20/0.49  ;     0.000   0%   Condensing                   (1 call)
% 0.20/0.49  ;     0.000   0%   Forward subsumption          (1 call)
% 0.20/0.49  ;     0.000   0%   Backward subsumption         (1 call)
% 0.20/0.49  ;     0.001   4%   Forward simplification       (12 calls)
% 0.20/0.49  ;     0.000   0%   Backward simplification      (10 calls)
% 0.20/0.49  ;     0.000   0%   Ordering                     (9 calls)
% 0.20/0.49  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.49  ;     0.021  84%   Other
% 0.20/0.49  ;     0.025        Total
% 0.20/0.49  ;     0.028        Real time
% 0.20/0.49  ; 
% 0.20/0.49  ; Term-hash-array has 16 terms in all.
% 0.20/0.49  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.49  ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.20/0.49  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.49  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.49  ; Path-index has 16 entries (18 at peak, 23 added, 7 deleted).
% 0.20/0.49  ; Path-index has 26 nodes (28 at peak, 36 added, 10 deleted).
% 0.20/0.49  ; Trie-index has 16 entries (18 at peak, 23 added, 7 deleted).
% 0.20/0.49  ; Trie-index has 32 nodes (36 at peak, 46 added, 14 deleted).
% 0.20/0.49  ; Retrieved 0 generalization terms in 7 calls.
% 0.20/0.49  ; Retrieved 9 instance terms in 8 calls.
% 0.20/0.49  ; Retrieved 21 unifiable terms in 33 calls.
% 0.20/0.49  ; 
% 0.20/0.49  ; The agenda of rows to process has 1 entry:
% 0.20/0.49  ;     1 with value 9
% 0.20/0.49  ; The agenda of rows to give has 2 entries:
% 0.20/0.49  ;     1 with value (4 5)           1 with value (4 9)
% 0.20/0.49  Evaluation took:
% 0.20/0.49    0.029 seconds of real time
% 0.20/0.49    0.026427 seconds of user run time
% 0.20/0.49    0.001841 seconds of system run time
% 0.20/0.49    0 calls to %EVAL
% 0.20/0.49    0 page faults and
% 0.20/0.49    1,637,248 bytes consed.
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T15:36:00
% 0.20/0.49  :PROOF-FOUND
% 0.20/0.49  * 
%------------------------------------------------------------------------------