TSTP Solution File: SEU295+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU295+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 14:21:02 EDT 2022

% Result   : Theorem 0.76s 0.93s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    7 (   6 unt;   0 nHn;   5 RR)
%            Number of literals    :    9 (   1 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1155,axiom,
    ( ~ subset(X,Y)
    | ~ finite(Y)
    | finite(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).

cnf(1168,negated_conjecture,
    finite('SKOLEMAAAV233'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_finset_1) ).

cnf(1169,negated_conjecture,
    ~ finite(set_intersection2('SKOLEMAAAV233','SKOLEMAAAV234')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_finset_1) ).

cnf(1257,axiom,
    subset(set_difference(X,Y),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).

cnf(1296,axiom,
    set_difference(X,set_difference(X,Y)) = set_intersection2(X,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).

cnf(1411,plain,
    ~ finite(set_difference('SKOLEMAAAV233',set_difference('SKOLEMAAAV233','SKOLEMAAAV234'))),
    inference('REWRITE',[status(thm)],[1169,1296,theory(equality)]) ).

cnf(1728,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[1155,1257,1168,1411]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU295+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.14/0.33  % Computer : n014.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 : Sun Jun 19 04:18:18 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.20/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45  * 
% 0.20/0.45  * 
% 0.20/0.46  #<PACKAGE "SNARK-USER">
% 0.20/0.46  * 
% 0.20/0.46  SNARK-TPTP-OPTIONS
% 0.20/0.46  * 
% 0.20/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46   (USE-FACTORING :POS)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46  * 
% 0.20/0.46  "."
% 0.20/0.46  * 
% 0.20/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T04:18:18
% 0.20/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-19T04:18:18
% 0.20/0.57  
% 0.20/0.57  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.57  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.43/0.59  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.43/0.59  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.43/0.59  ; Recognized commutativity assertion (OR (NOT (|equipotent| ?X ?Y)) (|equipotent| ?Y ?X)).
% 0.43/0.59  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.43/0.59  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.43/0.59  ; Declaring unordered_pair to be commutative.
% 0.43/0.59  ; Declaring set_union2 to be commutative.
% 0.43/0.59  ; Declaring set_intersection2 to be commutative.
% 0.43/0.59  ; Declaring disjoint to be commutative.
% 0.43/0.60  WARNING:
% 0.43/0.60     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.76/0.93  ; Declaring equipotent to be commutative.
% 0.76/0.93  
% 0.76/0.93  #||
% 0.76/0.93  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.93  % SZS output start Refutation
% See solution above
% 0.76/0.93  ||#
% 0.76/0.93  
% 0.76/0.93  ; Summary of computation:
% 0.76/0.93  ;      2444 formulas have been input or derived (from 205 formulas).
% 0.76/0.93  ;      1728 (71%) were retained.  Of these,
% 0.76/0.93  ;          102 ( 6%) were simplified or subsumed later,
% 0.76/0.93  ;         1626 (94%) are still being kept.
% 0.76/0.93  ; 
% 0.76/0.93  ; Run time in seconds excluding printing time:
% 0.76/0.93  ;     0.095  20%   Read assertion file          (1 call)
% 0.76/0.93  ;     0.026   6%   Assert                       (398 calls)
% 0.76/0.93  ;     0.096  20%   Process new row              (2,364 calls)
% 0.76/0.93  ;     0.034   7%   Resolution                   (408 calls)
% 0.76/0.93  ;     0.001   0%   Paramodulation               (204 calls)
% 0.76/0.93  ;     0.000   0%   Factoring                    (10 calls)
% 0.76/0.93  ;     0.021   4%   Condensing                   (1,360 calls)
% 0.76/0.93  ;     0.048  10%   Forward subsumption          (1,360 calls)
% 0.76/0.93  ;     0.035   7%   Backward subsumption         (1,317 calls)
% 0.76/0.93  ;     0.030   6%   Clause clause subsumption    (893 calls)
% 0.76/0.93  ;     0.042   9%   Forward simplification       (2,354 calls)
% 0.76/0.93  ;     0.004   1%   Backward simplification      (1,713 calls)
% 0.76/0.93  ;     0.001   0%   Ordering                     (380 calls)
% 0.76/0.93  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.76/0.93  ;     0.005   1%   Purity testing               (1 call)
% 0.76/0.93  ;     0.032   7%   Other
% 0.76/0.93  ;     0.470        Total
% 0.76/0.93  ;     0.471        Real time
% 0.77/0.93  ; 
% 0.77/0.93  ; Term-hash-array has 2,073 terms in all.
% 0.77/0.93  ; Feature-vector-row-index has 1,294 entries (1,294 at peak, 1,317 added, 23 deleted).
% 0.77/0.93  ; Feature-vector-row-index has 5,548 nodes (5,548 at peak, 5,603 added, 55 deleted).
% 0.77/0.93  ;  Retrieved 1,569 possibly forward subsuming rows in 1,360 calls.
% 0.77/0.93  ;  Retrieved 795 possibly backward subsumed rows in 1,317 calls.
% 0.77/0.93  ; Path-index has 2,010 entries (2,010 at peak, 2,100 added, 90 deleted).
% 0.77/0.93  ; Path-index has 6,448 nodes (6,448 at peak, 6,539 added, 91 deleted).
% 0.77/0.93  ; Trie-index has 2,010 entries (2,010 at peak, 2,100 added, 90 deleted).
% 0.77/0.93  ; Trie-index has 5,436 nodes (5,436 at peak, 5,593 added, 157 deleted).
% 0.77/0.93  ; Retrieved 1,159 generalization terms in 4,717 calls.
% 0.77/0.93  ; Retrieved 479 instance terms in 395 calls.
% 0.77/0.93  ; Retrieved 33,638 unifiable terms in 1,473 calls.
% 0.77/0.93  ; 
% 0.77/0.93  ; The agenda of rows to process has 18 entries:
% 0.77/0.93  ;     7 with value 4               1 with value 10               1 with value 12
% 0.77/0.93  ;     5 with value 7               2 with value 11               1 with value 13
% 0.77/0.93  ;     1 with value 9
% 0.77/0.93  ; The agenda of input rows to give has 1165 entries:
% 0.77/0.93  ;     7 with value 10             21 with value 30               6 with value 50
% 0.77/0.93  ;    32 with value 11             25 with value 31              12 with value 51
% 0.77/0.93  ;    58 with value 12             30 with value 32               5 with value 52
% 0.77/0.93  ;    41 with value 13             12 with value 33               4 with value 53
% 0.77/0.93  ;    53 with value 14             33 with value 34               9 with value 54
% 0.77/0.93  ;    15 with value 15             14 with value 35               4 with value 55
% 0.77/0.93  ;    49 with value 16             17 with value 36               3 with value 56
% 0.77/0.93  ;    30 with value 17             24 with value 37               5 with value 57
% 0.77/0.93  ;    29 with value 18             11 with value 38               9 with value 59
% 0.77/0.93  ;    28 with value 19             21 with value 39               1 with value 60
% 0.77/0.93  ;    30 with value 20             29 with value 40               9 with value 61
% 0.77/0.93  ;    39 with value 21             15 with value 41               9 with value 62
% 0.77/0.93  ;    42 with value 22             30 with value 42               9 with value 64
% 0.77/0.93  ;    52 with value 23             19 with value 43               2 with value 66
% 0.77/0.93  ;    39 with value 24             13 with value 44               3 with value 67
% 0.77/0.93  ;    35 with value 25             18 with value 45               1 with value 68
% 0.77/0.93  ;    36 with value 26             12 with value 46               4 with value 69
% 0.77/0.93  ;    21 with value 27             18 with value 47               2 with value 70
% 0.77/0.93  ;    32 with value 28             10 with value 48               2 with value 72
% 0.77/0.93  ;    17 with value 29              8 with value 49               1 with value 85
% 0.77/0.93  ; The agenda of rows to give has 284 entries:
% 0.77/0.93  ;     1 with value (4 4)          40 with value (4 8)            9 with value (4 12)
% 0.77/0.93  ;    18 with value (4 5)          33 with value (4 9)           17 with value (4 13)
% 0.77/0.93  ;    73 with value (4 6)          16 with value (4 10)           6 with value (4 14)
% 0.77/0.93  ;    45 with value (4 7)          25 with value (4 11)           1 with value (4 15)
% 0.77/0.93  Evaluation took:
% 0.77/0.93    0.472 seconds of real time
% 0.77/0.93    0.438901 seconds of user run time
% 0.77/0.93    0.032688 seconds of system run time
% 0.77/0.93    [Run times include 0.017 seconds GC run time.]
% 0.77/0.93    0 calls to %EVAL
% 0.77/0.93    0 page faults and
% 0.77/0.93    35,506,472 bytes consed.
% 0.77/0.93  :PROOF-FOUND
% 0.77/0.93  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T04:18:19
% 0.77/0.93  :PROOF-FOUND
% 0.77/0.93  * 
%------------------------------------------------------------------------------