TSTP Solution File: SEU090+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU090+1 : 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 14:19:04 EDT 2022

% Result   : Theorem 0.37s 0.54s
% Output   : Refutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   11 (   9 unt;   0 nHn;  10 RR)
%            Number of literals    :   16 (   1 equ;   8 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    cartesian_product4(X,Y,Z,U) = cartesian_product2(cartesian_product3(X,Y,Z),U),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_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(17,axiom,
    ( ~ finite(X)
    | ~ finite(Y)
    | ~ finite(Z)
    | finite(cartesian_product3(X,Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc15_finset_1) ).

cnf(77,negated_conjecture,
    finite('SKOLEMAAAV27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_finset_1) ).

cnf(78,negated_conjecture,
    finite('SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_finset_1) ).

cnf(79,negated_conjecture,
    finite('SKOLEMAAAV29'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_finset_1) ).

cnf(80,negated_conjecture,
    finite('SKOLEMAAAV30'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_finset_1) ).

cnf(81,negated_conjecture,
    ~ finite(cartesian_product4('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV29','SKOLEMAAAV30')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_finset_1) ).

cnf(82,plain,
    ~ finite(cartesian_product2(cartesian_product3('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV29'),'SKOLEMAAAV30')),
    inference('REWRITE',[status(thm)],[81,13,theory(equality)]) ).

cnf(240,plain,
    ~ finite(cartesian_product3('SKOLEMAAAV27','SKOLEMAAAV28','SKOLEMAAAV29')),
    inference('UR-RESOLVE',[status(thm)],[16,80,82]) ).

cnf(403,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,77,78,79]),240]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU090+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n028.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 08:54:15 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  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 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 2022-06-19T08:54:15
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-19T08:54:15
% 0.18/0.48  WARNING:
% 0.18/0.48     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |function_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |being_limit_ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |transfinite_sequence| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |ordinal_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.37/0.54  
% 0.37/0.54  
% 0.37/0.54  #||
% 0.37/0.54  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54  % SZS output start Refutation
% See solution above
% 0.37/0.54  ||#
% 0.37/0.54  
% 0.37/0.54  ; Summary of computation:
% 0.37/0.54  ;       929 formulas have been input or derived (from 89 formulas).
% 0.37/0.54  ;       403 (43%) were retained.  Of these,
% 0.37/0.54  ;           40 (10%) were simplified or subsumed later,
% 0.37/0.54  ;          363 (90%) are still being kept.
% 0.37/0.54  ; 
% 0.37/0.54  ; Run time in seconds excluding printing time:
% 0.37/0.54  ;     0.012  14%   Read assertion file          (1 call)
% 0.37/0.54  ;     0.003   3%   Assert                       (63 calls)
% 0.37/0.54  ;     0.021  24%   Process new row              (658 calls)
% 0.37/0.54  ;     0.011  13%   Resolution                   (176 calls)
% 0.37/0.54  ;     0.000   0%   Paramodulation               (88 calls)
% 0.37/0.54  ;     0.000   0%   Factoring                    (3 calls)
% 0.37/0.54  ;     0.000   0%   Condensing                   (64 calls)
% 0.37/0.54  ;     0.003   3%   Forward subsumption          (64 calls)
% 0.37/0.54  ;     0.001   1%   Backward subsumption         (53 calls)
% 0.37/0.54  ;     0.000   0%   Clause clause subsumption    (29 calls)
% 0.37/0.54  ;     0.005   6%   Forward simplification       (601 calls)
% 0.37/0.54  ;     0.001   1%   Backward simplification      (401 calls)
% 0.37/0.54  ;     0.000   0%   Ordering                     (90 calls)
% 0.37/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.37/0.54  ;     0.002   2%   Purity testing               (1 call)
% 0.37/0.54  ;     0.028  32%   Other
% 0.37/0.55  ;     0.087        Total
% 0.37/0.55  ;     0.088        Real time
% 0.37/0.55  ; 
% 0.37/0.55  ; Term-hash-array has 660 terms in all.
% 0.37/0.55  ; Feature-vector-row-index has 53 entries (53 at peak, 53 added, 0 deleted).
% 0.37/0.55  ; Feature-vector-row-index has 127 nodes (127 at peak, 127 added, 0 deleted).
% 0.37/0.55  ;  Retrieved 25 possibly forward subsuming rows in 64 calls.
% 0.37/0.55  ;  Retrieved 12 possibly backward subsumed rows in 53 calls.
% 0.37/0.55  ; Path-index has 641 entries (641 at peak, 679 added, 38 deleted).
% 0.37/0.55  ; Path-index has 524 nodes (524 at peak, 562 added, 38 deleted).
% 0.37/0.55  ; Trie-index has 641 entries (641 at peak, 679 added, 38 deleted).
% 0.37/0.55  ; Trie-index has 910 nodes (910 at peak, 965 added, 55 deleted).
% 0.37/0.55  ; Retrieved 206 generalization terms in 628 calls.
% 0.37/0.55  ; Retrieved 369 instance terms in 347 calls.
% 0.37/0.55  ; Retrieved 9,564 unifiable terms in 1,063 calls.
% 0.37/0.55  ; 
% 0.37/0.55  ; The agenda of rows to process has 254 entries:
% 0.37/0.55  ;   163 with value 8              15 with value 17               1 with value 21
% 0.37/0.55  ;    75 with value 13
% 0.37/0.55  ; The agenda of input rows to give has 2 entries:
% 0.37/0.55  ;     1 with value 16              1 with value 22
% 0.37/0.55  ; The agenda of rows to give has 292 entries:
% 0.37/0.55  ;     1 with value (4 4)         109 with value (4 8)           10 with value (4 12)
% 0.37/0.55  ;     9 with value (4 5)          20 with value (4 9)            6 with value (4 13)
% 0.37/0.55  ;    40 with value (4 6)           5 with value (4 10)           2 with value (4 16)
% 0.37/0.55  ;    85 with value (4 7)           5 with value (4 11)
% 0.37/0.55  Evaluation took:
% 0.37/0.55    0.089 seconds of real time
% 0.37/0.55    0.075986 seconds of user run time
% 0.37/0.55    0.013238 seconds of system run time
% 0.37/0.55    0 calls to %EVAL
% 0.37/0.55    0 page faults and
% 0.37/0.55    5,056,696 bytes consed.
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T08:54:15
% 0.37/0.55  :PROOF-FOUND
% 0.37/0.55  * 
%------------------------------------------------------------------------------