TSTP Solution File: SEU169+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 14:19:47 EDT 2022

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :    9 (   7 unt;   1 nHn;   8 RR)
%            Number of literals    :   14 (   2 equ;   6 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    8 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(15,axiom,
    ( empty(X)
    | ~ element(Y,X)
    | in(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).

cnf(47,axiom,
    ( X != union(Y)
    | in(Z,X)
    | ~ in(Z,U)
    | ~ in(U,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).

cnf(64,axiom,
    ~ empty(powerset(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).

cnf(79,negated_conjecture,
    element('SKOLEMAAAV19',powerset('SKOLEMAAAV18')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_subset_1) ).

cnf(80,negated_conjecture,
    in('SKOLEMAAAV20','SKOLEMAAAV19'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_subset_1) ).

cnf(81,negated_conjecture,
    ~ in('SKOLEMAAAV20','SKOLEMAAAV18'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_subset_1) ).

cnf(147,axiom,
    union(powerset(X)) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_zfmisc_1) ).

cnf(222,plain,
    in('SKOLEMAAAV19',powerset('SKOLEMAAAV18')),
    inference('UR-RESOLVE',[status(thm)],[15,64,79]) ).

cnf(735,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[47,147,81,80]),222]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU169+2 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 04:23:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:23:32
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-19T04:23:32
% 0.19/0.50  
% 0.19/0.50  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.50  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.50  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.50  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.50  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.50  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.50  ; Declaring unordered_pair to be commutative.
% 0.19/0.50  ; Declaring set_union2 to be commutative.
% 0.19/0.50  ; Declaring set_intersection2 to be commutative.
% 0.19/0.50  WARNING:
% 0.19/0.50     |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.55/0.74  ; Declaring disjoint to be commutative.
% 0.55/0.74  
% 0.55/0.74  #||
% 0.55/0.74  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.74  % SZS output start Refutation
% See solution above
% 0.55/0.74  ||#
% 0.55/0.74  
% 0.55/0.74  ; Summary of computation:
% 0.55/0.74  ;      3021 formulas have been input or derived (from 112 formulas).
% 0.55/0.74  ;       735 (24%) were retained.  Of these,
% 0.55/0.74  ;           23 ( 3%) were simplified or subsumed later,
% 0.55/0.74  ;          712 (97%) are still being kept.
% 0.55/0.74  ; 
% 0.55/0.74  ; Run time in seconds excluding printing time:
% 0.55/0.74  ;     0.019   7%   Read assertion file          (1 call)
% 0.55/0.74  ;     0.006   2%   Assert                       (105 calls)
% 0.55/0.74  ;     0.063  23%   Process new row              (2,507 calls)
% 0.55/0.74  ;     0.049  18%   Resolution                   (222 calls)
% 0.55/0.74  ;     0.000   0%   Paramodulation               (111 calls)
% 0.55/0.74  ;     0.000   0%   Factoring                    (8 calls)
% 0.55/0.74  ;     0.011   4%   Condensing                   (900 calls)
% 0.55/0.74  ;     0.009   3%   Forward subsumption          (900 calls)
% 0.55/0.74  ;     0.014   5%   Backward subsumption         (483 calls)
% 0.55/0.74  ;     0.016   6%   Clause clause subsumption    (1,184 calls)
% 0.55/0.74  ;     0.037  14%   Forward simplification       (2,504 calls)
% 0.55/0.74  ;     0.001   0%   Backward simplification      (732 calls)
% 0.55/0.74  ;     0.005   2%   Ordering                     (1,294 calls)
% 0.55/0.74  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.55/0.74  ;     0.001   0%   Purity testing               (1 call)
% 0.55/0.74  ;     0.038  14%   Other
% 0.55/0.74  ;     0.269        Total
% 0.55/0.74  ;     0.271        Real time
% 0.55/0.74  ; 
% 0.55/0.74  ; Term-hash-array has 1,226 terms in all.
% 0.55/0.74  ; Feature-vector-row-index has 471 entries (471 at peak, 483 added, 12 deleted).
% 0.55/0.74  ; Feature-vector-row-index has 1,264 nodes (1,264 at peak, 1,289 added, 25 deleted).
% 0.55/0.74  ;  Retrieved 1,747 possibly forward subsuming rows in 900 calls.
% 0.55/0.74  ;  Retrieved 182 possibly backward subsumed rows in 483 calls.
% 0.55/0.74  ; Path-index has 1,210 entries (1,210 at peak, 1,237 added, 27 deleted).
% 0.55/0.74  ; Path-index has 2,160 nodes (2,160 at peak, 2,185 added, 25 deleted).
% 0.55/0.74  ; Trie-index has 1,210 entries (1,210 at peak, 1,237 added, 27 deleted).
% 0.55/0.74  ; Trie-index has 3,085 nodes (3,085 at peak, 3,156 added, 71 deleted).
% 0.55/0.74  ; Retrieved 7,477 generalization terms in 10,028 calls.
% 0.55/0.74  ; Retrieved 325 instance terms in 249 calls.
% 0.55/0.74  ; Retrieved 61,285 unifiable terms in 1,455 calls.
% 0.55/0.74  ; 
% 0.55/0.74  ; The agenda of rows to process has 377 entries:
% 0.55/0.74  ;     2 with value 8              24 with value 19               6 with value 29
% 0.55/0.74  ;     6 with value 9              12 with value 20               5 with value 30
% 0.55/0.74  ;    12 with value 11             20 with value 21               7 with value 31
% 0.55/0.74  ;    10 with value 12             31 with value 22               4 with value 32
% 0.55/0.74  ;     8 with value 13             24 with value 23               3 with value 33
% 0.55/0.74  ;    24 with value 14             16 with value 24               1 with value 34
% 0.55/0.74  ;    18 with value 15             33 with value 25               1 with value 35
% 0.55/0.74  ;    13 with value 16             20 with value 26               2 with value 36
% 0.55/0.74  ;    20 with value 17              9 with value 27               1 with value 38
% 0.55/0.74  ;    28 with value 18             17 with value 28
% 0.55/0.74  ; The agenda of input rows to give has 35 entries:
% 0.55/0.74  ;     4 with value 18              8 with value 23               3 with value 31
% 0.55/0.74  ;     5 with value 19              1 with value 24               1 with value 32
% 0.55/0.74  ;     5 with value 20              1 with value 25               1 with value 33
% 0.55/0.74  ;     2 with value 22              3 with value 26               1 with value 34
% 0.55/0.74  ; The agenda of rows to give has 566 entries:
% 0.55/0.74  ;     1 with value (4 4)          34 with value (4 15)          12 with value (4 25)
% 0.55/0.74  ;    11 with value (4 5)          39 with value (4 16)           7 with value (4 26)
% 0.55/0.74  ;     5 with value (4 6)          34 with value (4 17)           3 with value (4 27)
% 0.55/0.74  ;    30 with value (4 7)          33 with value (4 18)           7 with value (4 28)
% 0.55/0.74  ;    26 with value (4 8)          30 with value (4 19)           1 with value (4 29)
% 0.55/0.74  ;    23 with value (4 9)          37 with value (4 20)           2 with value (4 30)
% 0.55/0.74  ;    38 with value (4 10)         25 with value (4 21)           4 with value (4 31)
% 0.55/0.74  ;    22 with value (4 11)         18 with value (4 22)           1 with value (4 32)
% 0.55/0.74  ;    30 with value (4 12)         19 with value (4 23)           1 with value (4 36)
% 0.55/0.74  ;    40 with value (4 13)          8 with value (4 24)           3 with value (4 37)
% 0.55/0.74  ;    22 with value (4 14)
% 0.55/0.74  Evaluation took:
% 0.55/0.74    0.272 seconds of real time
% 0.55/0.74    0.241264 seconds of user run time
% 0.55/0.74    0.030165 seconds of system run time
% 0.55/0.74    [Run times include 0.01 seconds GC run time.]
% 0.55/0.74    0 calls to %EVAL
% 0.55/0.74    0 page faults and
% 0.55/0.74    16,644,936 bytes consed.
% 0.55/0.74  :PROOF-FOUND
% 0.55/0.74  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T04:23:32
% 0.55/0.74  :PROOF-FOUND
% 0.55/0.74  * 
%------------------------------------------------------------------------------