TSTP Solution File: SEU294+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU294+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 14:21:01 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ( ~ finite(X)
    | ~ element(Y,powerset(X))
    | finite(Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_finset_1) ).

cnf(69,negated_conjecture,
    subset('SKOLEMAAAV27','SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(70,negated_conjecture,
    finite('SKOLEMAAAV28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(71,negated_conjecture,
    ~ finite('SKOLEMAAAV27'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(75,axiom,
    ( element(X,powerset(Y))
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

cnf(173,plain,
    element('SKOLEMAAAV27',powerset('SKOLEMAAAV28')),
    inference('HYPERRESOLVE',[status(thm)],[75,69]) ).

cnf(189,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,70,71]),173]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU294+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n016.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 : Mon Jun 20 09:42:25 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T09:42:25
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-20T09:42:25
% 0.20/0.49  WARNING:
% 0.20/0.49     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |function_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |being_limit_ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |transfinite_sequence| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |ordinal_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       427 formulas have been input or derived (from 81 formulas).
% 0.20/0.52  ;       189 (44%) were retained.  Of these,
% 0.20/0.52  ;           38 (20%) were simplified or subsumed later,
% 0.20/0.52  ;          151 (80%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.009  16%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.004   7%   Assert                       (54 calls)
% 0.20/0.52  ;     0.008  14%   Process new row              (407 calls)
% 0.20/0.52  ;     0.004   7%   Resolution                   (160 calls)
% 0.20/0.52  ;     0.001   2%   Paramodulation               (80 calls)
% 0.20/0.52  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.52  ;     0.000   0%   Condensing                   (35 calls)
% 0.20/0.53  ;     0.001   2%   Forward subsumption          (35 calls)
% 0.20/0.53  ;     0.000   0%   Backward subsumption         (31 calls)
% 0.20/0.53  ;     0.000   0%   Clause clause subsumption    (10 calls)
% 0.20/0.53  ;     0.001   2%   Forward simplification       (351 calls)
% 0.20/0.53  ;     0.002   4%   Backward simplification      (189 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (19 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.001   2%   Purity testing               (1 call)
% 0.20/0.53  ;     0.026  46%   Other
% 0.20/0.53  ;     0.057        Total
% 0.20/0.53  ;     0.059        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 233 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 31 entries (31 at peak, 31 added, 0 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.20/0.53  ;  Retrieved 7 possibly forward subsuming rows in 35 calls.
% 0.20/0.53  ;  Retrieved 3 possibly backward subsumed rows in 31 calls.
% 0.20/0.53  ; Path-index has 212 entries (212 at peak, 250 added, 38 deleted).
% 0.20/0.53  ; Path-index has 283 nodes (283 at peak, 321 added, 38 deleted).
% 0.20/0.53  ; Trie-index has 212 entries (212 at peak, 250 added, 38 deleted).
% 0.20/0.53  ; Trie-index has 320 nodes (320 at peak, 375 added, 55 deleted).
% 0.20/0.53  ; Retrieved 168 generalization terms in 339 calls.
% 0.20/0.53  ; Retrieved 180 instance terms in 157 calls.
% 0.20/0.53  ; Retrieved 1,477 unifiable terms in 574 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 12 entries:
% 0.20/0.53  ;     1 with value 7               4 with value 9                2 with value 16
% 0.20/0.53  ;     4 with value 8               1 with value 13
% 0.20/0.53  ; The agenda of input rows to give has 2 entries:
% 0.20/0.53  ;     1 with value 13              1 with value 14
% 0.20/0.53  ; The agenda of rows to give has 88 entries:
% 0.20/0.53  ;     2 with value (4 4)          12 with value (4 7)            4 with value (4 10)
% 0.20/0.53  ;     9 with value (4 5)          17 with value (4 8)            4 with value (4 11)
% 0.20/0.53  ;    39 with value (4 6)           1 with value (4 9)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.06 seconds of real time
% 0.20/0.53    0.047275 seconds of user run time
% 0.20/0.53    0.011923 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    3,066,440 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T09:42:25
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  * 
%------------------------------------------------------------------------------