TSTP Solution File: SEU150+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU150+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n027.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 14:19:32 EDT 2022

% Result   : Theorem 0.17s 0.48s
% Output   : Refutation 0.17s
% 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(1,axiom,
    ( singleton(X) != unordered_pair(Y,Z)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_zfmisc_1) ).

cnf(2,negated_conjecture,
    singleton('SKOLEMAAAV1') = unordered_pair('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).

cnf(3,negated_conjecture,
    'SKOLEMAAAV2' != 'SKOLEMAAAV3',
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_zfmisc_1) ).

cnf(4,plain,
    'SKOLEMAAAV1' = 'SKOLEMAAAV2',
    inference('HYPERRESOLVE',[status(thm)],[1,2]) ).

cnf(5,plain,
    singleton('SKOLEMAAAV1') = unordered_pair('SKOLEMAAAV1','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[2,4,theory(equality)]) ).

cnf(6,plain,
    'SKOLEMAAAV1' != 'SKOLEMAAAV3',
    inference('REWRITE',[status(thm)],[3,4,theory(equality)]) ).

cnf(7,plain,
    singleton('SKOLEMAAAV1') != unordered_pair('SKOLEMAAAV3',X),
    inference('UR-RESOLVE',[status(thm)],[1,6]) ).

cnf(8,plain,
    $false,
    inference('REWRITE',[status(thm)],[5,7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU150+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jun 19 12:00:09 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.17/0.43  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44  * 
% 0.17/0.45  * 
% 0.17/0.45  #<PACKAGE "SNARK-USER">
% 0.17/0.45  * 
% 0.17/0.45  SNARK-TPTP-OPTIONS
% 0.17/0.45  * 
% 0.17/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45   (USE-FACTORING :POS)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45  * 
% 0.17/0.45  "."
% 0.17/0.45  * 
% 0.17/0.45  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:00:09
% 0.17/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-19T12:00:09
% 0.17/0.46  
% 0.17/0.46  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.17/0.48  ; Declaring unordered_pair to be commutative.
% 0.17/0.48  
% 0.17/0.48  #||
% 0.17/0.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48  % SZS output start Refutation
% See solution above
% 0.17/0.48  ||#
% 0.17/0.48  
% 0.17/0.48  ; Summary of computation:
% 0.17/0.48  ;        18 formulas have been input or derived (from 5 formulas).
% 0.17/0.48  ;         8 (44%) were retained.  Of these,
% 0.17/0.48  ;            3 (38%) were simplified or subsumed later,
% 0.17/0.48  ;            5 (62%) are still being kept.
% 0.17/0.48  ; 
% 0.17/0.48  ; Run time in seconds excluding printing time:
% 0.17/0.48  ;     0.001   4%   Read assertion file          (1 call)
% 0.17/0.48  ;     0.001   4%   Assert                       (5 calls)
% 0.17/0.48  ;     0.000   0%   Process new row              (17 calls)
% 0.17/0.48  ;     0.001   4%   Resolution                   (8 calls)
% 0.17/0.48  ;     0.000   0%   Paramodulation               (4 calls)
% 0.17/0.48  ;     0.000   0%   Condensing                   (1 call)
% 0.17/0.48  ;     0.000   0%   Forward subsumption          (1 call)
% 0.17/0.48  ;     0.000   0%   Backward subsumption         (1 call)
% 0.17/0.48  ;     0.000   0%   Forward simplification       (10 calls)
% 0.17/0.48  ;     0.000   0%   Backward simplification      (8 calls)
% 0.17/0.48  ;     0.000   0%   Ordering                     (9 calls)
% 0.17/0.48  ;     0.001   4%   Sortal reasoning             (32 calls)
% 0.17/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.17/0.48  ;     0.021  84%   Other
% 0.17/0.48  ;     0.025        Total
% 0.17/0.48  ;     0.027        Real time
% 0.17/0.48  ; 
% 0.17/0.48  ; Term-hash-array has 14 terms in all.
% 0.17/0.48  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.17/0.48  ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.17/0.48  ;  Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.17/0.48  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.17/0.48  ; Path-index has 12 entries (14 at peak, 19 added, 7 deleted).
% 0.17/0.48  ; Path-index has 21 nodes (23 at peak, 31 added, 10 deleted).
% 0.17/0.48  ; Trie-index has 12 entries (14 at peak, 19 added, 7 deleted).
% 0.17/0.48  ; Trie-index has 27 nodes (31 at peak, 41 added, 14 deleted).
% 0.17/0.48  ; Retrieved 0 generalization terms in 6 calls.
% 0.17/0.48  ; Retrieved 7 instance terms in 6 calls.
% 0.17/0.48  ; Retrieved 21 unifiable terms in 25 calls.
% 0.17/0.48  ; 
% 0.17/0.48  ; The agenda of rows to process has 1 entry:
% 0.17/0.48  ;     1 with value 9
% 0.17/0.48  ; The agenda of rows to give has 2 entries:
% 0.17/0.48  ;     1 with value (4 5)           1 with value (4 9)
% 0.17/0.48  Evaluation took:
% 0.17/0.48    0.028 seconds of real time
% 0.17/0.48    0.022492 seconds of user run time
% 0.17/0.48    0.005229 seconds of system run time
% 0.17/0.48    0 calls to %EVAL
% 0.17/0.48    0 page faults and
% 0.17/0.48    1,617,192 bytes consed.
% 0.17/0.48  :PROOF-FOUND
% 0.17/0.48  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:00:09
% 0.17/0.48  :PROOF-FOUND
% 0.17/0.48  * 
%------------------------------------------------------------------------------