TSTP Solution File: SEU165+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU165+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 14:19:44 EDT 2022

% Result   : Theorem 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   4 unt;   2 nHn;  11 RR)
%            Number of literals    :   20 (   0 equ;  10 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,negated_conjecture,
    ( ~ in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
    | ~ in('SKOLEMAAAV3','SKOLEMAAAV5')
    | ~ in('SKOLEMAAAV4','SKOLEMAAAV6') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).

cnf(7,negated_conjecture,
    ( in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
    | in('SKOLEMAAAV3','SKOLEMAAAV5') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).

cnf(8,negated_conjecture,
    ( in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
    | in('SKOLEMAAAV4','SKOLEMAAAV6') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).

cnf(9,axiom,
    ( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
    | in(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).

cnf(10,axiom,
    ( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
    | in(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).

cnf(11,axiom,
    ( in(ordered_pair(X,Y),cartesian_product2(Z,U))
    | ~ in(X,Z)
    | ~ in(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).

cnf(14,plain,
    in('SKOLEMAAAV3','SKOLEMAAAV5'),
    inference('HYPERRESOLVE',[status(thm)],[9,7]) ).

cnf(15,plain,
    ( ~ in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6'))
    | ~ in('SKOLEMAAAV4','SKOLEMAAAV6') ),
    inference('REWRITE',[status(thm)],[6,14]) ).

cnf(16,plain,
    in('SKOLEMAAAV4','SKOLEMAAAV6'),
    inference('HYPERRESOLVE',[status(thm)],[10,8]) ).

cnf(17,plain,
    ~ in(ordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),cartesian_product2('SKOLEMAAAV5','SKOLEMAAAV6')),
    inference('REWRITE',[status(thm)],[15,16]) ).

cnf(21,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,14,17]),16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU165+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n016.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jun 20 07:56:40 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T07:56:40
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-20T07:56:40
% 0.19/0.47  
% 0.19/0.47  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.49  ; Declaring unordered_pair to be commutative.
% 0.19/0.49  
% 0.19/0.49  #||
% 0.19/0.49  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49  % SZS output start Refutation
% See solution above
% 0.19/0.49  ||#
% 0.19/0.49  
% 0.19/0.49  ; Summary of computation:
% 0.19/0.49  ;        29 formulas have been input or derived (from 13 formulas).
% 0.19/0.49  ;        21 (72%) were retained.  Of these,
% 0.19/0.49  ;            4 (19%) were simplified or subsumed later,
% 0.19/0.49  ;           17 (81%) are still being kept.
% 0.19/0.49  ; 
% 0.19/0.49  ; Run time in seconds excluding printing time:
% 0.19/0.49  ;     0.002   7%   Read assertion file          (1 call)
% 0.19/0.49  ;     0.000   0%   Assert                       (8 calls)
% 0.19/0.49  ;     0.002   7%   Process new row              (24 calls)
% 0.19/0.49  ;     0.000   0%   Resolution                   (24 calls)
% 0.19/0.49  ;     0.001   3%   Paramodulation               (12 calls)
% 0.19/0.49  ;     0.000   0%   Factoring                    (2 calls)
% 0.19/0.49  ;     0.000   0%   Condensing                   (8 calls)
% 0.19/0.49  ;     0.001   3%   Forward subsumption          (8 calls)
% 0.19/0.49  ;     0.000   0%   Backward subsumption         (8 calls)
% 0.19/0.49  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.19/0.49  ;     0.000   0%   Forward simplification       (24 calls)
% 0.19/0.49  ;     0.001   3%   Backward simplification      (21 calls)
% 0.19/0.49  ;     0.000   0%   Ordering                     (11 calls)
% 0.19/0.49  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.19/0.49  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.49  ;     0.021  72%   Other
% 0.19/0.49  ;     0.029        Total
% 0.19/0.49  ;     0.031        Real time
% 0.19/0.49  ; 
% 0.19/0.49  ; Term-hash-array has 34 terms in all.
% 0.19/0.49  ; Feature-vector-row-index has 4 entries (7 at peak, 8 added, 4 deleted).
% 0.19/0.49  ; Feature-vector-row-index has 9 nodes (51 at peak, 65 added, 56 deleted).
% 0.19/0.49  ;  Retrieved 4 possibly forward subsuming rows in 8 calls.
% 0.19/0.49  ;  Retrieved 1 possibly backward subsumed row in 8 calls.
% 0.19/0.49  ; Path-index has 40 entries (40 at peak, 43 added, 3 deleted).
% 0.19/0.49  ; Path-index has 151 nodes (151 at peak, 159 added, 8 deleted).
% 0.19/0.49  ; Trie-index has 40 entries (40 at peak, 43 added, 3 deleted).
% 0.19/0.49  ; Trie-index has 143 nodes (143 at peak, 152 added, 9 deleted).
% 0.19/0.49  ; Retrieved 2 generalization terms in 16 calls.
% 0.19/0.49  ; Retrieved 12 instance terms in 12 calls.
% 0.19/0.49  ; Retrieved 193 unifiable terms in 85 calls.
% 0.19/0.49  ; 
% 0.19/0.49  ; The agenda of rows to process has 1 entry:
% 0.19/0.49  ;     1 with value 11
% 0.19/0.49  ; The agenda of rows to give has 6 entries:
% 0.19/0.49  ;     1 with value (4 5)           2 with value (4 15)           1 with value (4 20)
% 0.19/0.49  ;     1 with value (4 6)           1 with value (4 19)
% 0.19/0.49  Evaluation took:
% 0.19/0.49    0.031 seconds of real time
% 0.19/0.49    0.027443 seconds of user run time
% 0.19/0.49    0.004279 seconds of system run time
% 0.19/0.49    0 calls to %EVAL
% 0.19/0.49    0 page faults and
% 0.19/0.49    2,304,656 bytes consed.
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T07:56:40
% 0.19/0.49  :PROOF-FOUND
% 0.19/0.49  * 
%------------------------------------------------------------------------------