TSTP Solution File: SEU089+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU089+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n029.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 14:19:04 EDT 2022

% Result   : Theorem 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    6
% Syntax   : Number of clauses     :    9 (   8 unt;   0 nHn;   8 RR)
%            Number of literals    :   11 (   1 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :    5 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    cartesian_product3(X,Y,Z) = cartesian_product2(cartesian_product2(X,Y),Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_zfmisc_1) ).

cnf(16,axiom,
    ( ~ finite(X)
    | ~ finite(Y)
    | finite(cartesian_product2(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_finset_1) ).

cnf(75,negated_conjecture,
    finite('SKOLEMAAAV27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_finset_1) ).

cnf(76,negated_conjecture,
    finite('SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_finset_1) ).

cnf(77,negated_conjecture,
    finite('SKOLEMAAAV29'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_finset_1) ).

cnf(78,negated_conjecture,
    ~ finite(cartesian_product3('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV29')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t20_finset_1) ).

cnf(79,plain,
    ~ finite(cartesian_product2(cartesian_product2('SKOLEMAAAV27','SKOLEMAAAV28'),'SKOLEMAAAV29')),
    inference('REWRITE',[status(thm)],[78,13,theory(equality)]) ).

cnf(218,plain,
    finite(cartesian_product2('SKOLEMAAAV27','SKOLEMAAAV28')),
    inference('HYPERRESOLVE',[status(thm)],[16,75,76]) ).

cnf(225,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[16,77,79]),218]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU089+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n029.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 : Sun Jun 19 04:25:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:25:14
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-19T04:25:14
% 0.18/0.49  WARNING:
% 0.18/0.49     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |function_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |being_limit_ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |transfinite_sequence| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |ordinal_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49  WARNING:
% 0.18/0.49     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.53  
% 0.18/0.53  
% 0.18/0.53  #||
% 0.18/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.53  % SZS output start Refutation
% See solution above
% 0.18/0.53  ||#
% 0.18/0.53  
% 0.18/0.53  ; Summary of computation:
% 0.18/0.53  ;       490 formulas have been input or derived (from 83 formulas).
% 0.18/0.53  ;       225 (46%) were retained.  Of these,
% 0.18/0.53  ;           40 (18%) were simplified or subsumed later,
% 0.18/0.53  ;          185 (82%) are still being kept.
% 0.18/0.53  ; 
% 0.18/0.53  ; Run time in seconds excluding printing time:
% 0.18/0.53  ;     0.011  17%   Read assertion file          (1 call)
% 0.18/0.53  ;     0.004   6%   Assert                       (60 calls)
% 0.18/0.53  ;     0.012  19%   Process new row              (450 calls)
% 0.18/0.53  ;     0.005   8%   Resolution                   (164 calls)
% 0.18/0.53  ;     0.001   2%   Paramodulation               (82 calls)
% 0.18/0.53  ;     0.000   0%   Factoring                    (3 calls)
% 0.18/0.53  ;     0.002   3%   Condensing                   (48 calls)
% 0.18/0.53  ;     0.000   0%   Forward subsumption          (48 calls)
% 0.18/0.53  ;     0.000   0%   Backward subsumption         (39 calls)
% 0.18/0.53  ;     0.000   0%   Clause clause subsumption    (17 calls)
% 0.18/0.53  ;     0.004   6%   Forward simplification       (393 calls)
% 0.18/0.53  ;     0.001   2%   Backward simplification      (223 calls)
% 0.18/0.53  ;     0.000   0%   Ordering                     (40 calls)
% 0.18/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.53  ;     0.001   2%   Purity testing               (1 call)
% 0.18/0.53  ;     0.022  35%   Other
% 0.18/0.53  ;     0.063        Total
% 0.18/0.53  ;     0.066        Real time
% 0.18/0.53  ; 
% 0.18/0.53  ; Term-hash-array has 302 terms in all.
% 0.18/0.53  ; Feature-vector-row-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.18/0.53  ; Feature-vector-row-index has 94 nodes (94 at peak, 94 added, 0 deleted).
% 0.18/0.53  ;  Retrieved 14 possibly forward subsuming rows in 48 calls.
% 0.18/0.53  ;  Retrieved 3 possibly backward subsumed rows in 39 calls.
% 0.18/0.53  ; Path-index has 282 entries (282 at peak, 320 added, 38 deleted).
% 0.18/0.53  ; Path-index has 399 nodes (399 at peak, 437 added, 38 deleted).
% 0.18/0.53  ; Trie-index has 282 entries (282 at peak, 320 added, 38 deleted).
% 0.18/0.53  ; Trie-index has 439 nodes (439 at peak, 494 added, 55 deleted).
% 0.18/0.53  ; Retrieved 178 generalization terms in 401 calls.
% 0.18/0.53  ; Retrieved 205 instance terms in 183 calls.
% 0.18/0.53  ; Retrieved 2,019 unifiable terms in 629 calls.
% 0.18/0.53  ; 
% 0.18/0.53  ; The agenda of rows to process has 25 entries:
% 0.18/0.53  ;    16 with value 7               8 with value 12               1 with value 16
% 0.18/0.53  ; The agenda of input rows to give has 5 entries:
% 0.18/0.53  ;     1 with value 12              1 with value 14               1 with value 18
% 0.18/0.53  ;     2 with value 13
% 0.18/0.53  ; The agenda of rows to give has 117 entries:
% 0.18/0.53  ;     1 with value (4 4)          21 with value (4 8)            4 with value (4 12)
% 0.18/0.53  ;     9 with value (4 5)           4 with value (4 9)            1 with value (4 13)
% 0.18/0.53  ;    40 with value (4 6)           5 with value (4 10)           1 with value (4 16)
% 0.18/0.53  ;    27 with value (4 7)           4 with value (4 11)
% 0.18/0.53  Evaluation took:
% 0.18/0.53    0.068 seconds of real time
% 0.18/0.53    0.054264 seconds of user run time
% 0.18/0.53    0.011511 seconds of system run time
% 0.18/0.53    0 calls to %EVAL
% 0.18/0.53    0 page faults and
% 0.18/0.53    3,508,720 bytes consed.
% 0.18/0.53  :PROOF-FOUND
% 0.18/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:25:14
% 0.18/0.53  :PROOF-FOUND
% 0.18/0.53  * 
%------------------------------------------------------------------------------