TSTP Solution File: SEU133+2 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU133+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n006.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 14:19:22 EDT 2022

% Result   : Theorem 0.59s 0.79s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   7 RR)
%            Number of literals    :   12 (   1 equ;   6 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   :    9 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(12,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAU3'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(13,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAU3'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(19,axiom,
    ( X != set_difference(Y,Z)
    | ~ in(U,X)
    | in(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).

cnf(48,negated_conjecture,
    ~ subset(set_difference('SKOLEMAAAU9','SKOLEMAAAU10'),'SKOLEMAAAU9'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).

cnf(67,plain,
    in('SKOLEMAAAU3'(set_difference('SKOLEMAAAU9','SKOLEMAAAU10'),'SKOLEMAAAU9'),set_difference('SKOLEMAAAU9','SKOLEMAAAU10')),
    inference('HYPERRESOLVE',[status(thm)],[48,12]) ).

cnf(68,plain,
    ~ in('SKOLEMAAAU3'(set_difference('SKOLEMAAAU9','SKOLEMAAAU10'),'SKOLEMAAAU9'),'SKOLEMAAAU9'),
    inference('UR-RESOLVE',[status(thm)],[13,48]) ).

cnf(325,plain,
    ~ in('SKOLEMAAAU3'(set_difference('SKOLEMAAAU9','SKOLEMAAAU10'),'SKOLEMAAAU9'),set_difference('SKOLEMAAAU9',X)),
    inference('UR-RESOLVE',[status(thm)],[19,68,theory(equality)]) ).

cnf(326,plain,
    $false,
    inference('REWRITE',[status(thm)],[67,325]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU133+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n006.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
% 0.13/0.35  % DateTime : Sun Jun 19 22:31:10 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T22:31:10
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-19T22:31:10
% 0.20/0.50  
% 0.20/0.50  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.51  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.51  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.51  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.51  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.51  ; Declaring set_union2 to be commutative.
% 0.20/0.51  ; Declaring set_intersection2 to be commutative.
% 0.59/0.79  ; Declaring disjoint to be commutative.
% 0.59/0.79  
% 0.59/0.79  #||
% 0.59/0.79  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.79  % SZS output start Refutation
% See solution above
% 0.59/0.79  ||#
% 0.59/0.79  
% 0.59/0.79  ; Summary of computation:
% 0.59/0.79  ;      2648 formulas have been input or derived (from 86 formulas).
% 0.59/0.79  ;       326 (12%) were retained.  Of these,
% 0.59/0.79  ;            5 ( 2%) were simplified or subsumed later,
% 0.59/0.79  ;          321 (98%) are still being kept.
% 0.59/0.79  ; 
% 0.59/0.79  ; Run time in seconds excluding printing time:
% 0.59/0.79  ;     0.008   3%   Read assertion file          (1 call)
% 0.59/0.79  ;     0.003   1%   Assert                       (46 calls)
% 0.59/0.79  ;     0.042  14%   Process new row              (2,251 calls)
% 0.59/0.79  ;     0.069  22%   Resolution                   (170 calls)
% 0.59/0.79  ;     0.003   1%   Paramodulation               (85 calls)
% 0.59/0.79  ;     0.000   0%   Factoring                    (10 calls)
% 0.59/0.79  ;     0.032  10%   Condensing                   (1,552 calls)
% 0.59/0.79  ;     0.030  10%   Forward subsumption          (1,552 calls)
% 0.59/0.79  ;     0.002   1%   Backward subsumption         (214 calls)
% 0.59/0.79  ;     0.031  10%   Clause clause subsumption    (2,610 calls)
% 0.59/0.79  ;     0.050  16%   Forward simplification       (2,250 calls)
% 0.59/0.79  ;     0.001   0%   Backward simplification      (326 calls)
% 0.59/0.79  ;     0.008   3%   Ordering                     (4,320 calls)
% 0.59/0.79  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.59/0.79  ;     0.000   0%   Purity testing               (1 call)
% 0.59/0.79  ;     0.029   9%   Other
% 0.59/0.79  ;     0.308        Total
% 0.59/0.79  ;     0.309        Real time
% 0.59/0.79  ; 
% 0.59/0.79  ; Term-hash-array has 620 terms in all.
% 0.59/0.79  ; Feature-vector-row-index has 212 entries (212 at peak, 214 added, 2 deleted).
% 0.59/0.79  ; Feature-vector-row-index has 401 nodes (401 at peak, 406 added, 5 deleted).
% 0.59/0.79  ;  Retrieved 6,627 possibly forward subsuming rows in 1,552 calls.
% 0.59/0.79  ;  Retrieved 229 possibly backward subsumed rows in 214 calls.
% 0.59/0.79  ; Path-index has 618 entries (619 at peak, 630 added, 12 deleted).
% 0.59/0.79  ; Path-index has 709 nodes (709 at peak, 711 added, 2 deleted).
% 0.59/0.79  ; Trie-index has 618 entries (619 at peak, 630 added, 12 deleted).
% 0.59/0.79  ; Trie-index has 1,352 nodes (1,353 at peak, 1,360 added, 8 deleted).
% 0.59/0.79  ; Retrieved 5,680 generalization terms in 9,445 calls.
% 0.59/0.79  ; Retrieved 148 instance terms in 111 calls.
% 0.59/0.79  ; Retrieved 52,739 unifiable terms in 2,157 calls.
% 0.59/0.79  ; 
% 0.59/0.79  ; The agenda of rows to process has 30 entries:
% 0.59/0.79  ;     6 with value 14             12 with value 16              12 with value 18
% 0.59/0.79  ; The agenda of rows to give has 236 entries:
% 0.59/0.79  ;    20 with value (4 11)          5 with value (4 22)           3 with value (4 36)
% 0.59/0.79  ;    16 with value (4 12)          4 with value (4 24)           2 with value (4 38)
% 0.59/0.79  ;    20 with value (4 13)          1 with value (4 25)           3 with value (4 39)
% 0.59/0.79  ;    13 with value (4 14)         11 with value (4 26)           3 with value (4 42)
% 0.59/0.80  ;    13 with value (4 15)          8 with value (4 28)           5 with value (4 43)
% 0.59/0.80  ;    25 with value (4 16)          8 with value (4 31)           7 with value (4 44)
% 0.59/0.80  ;     6 with value (4 17)          6 with value (4 32)           1 with value (4 46)
% 0.59/0.80  ;     9 with value (4 18)          6 with value (4 33)           2 with value (4 47)
% 0.59/0.80  ;     8 with value (4 19)         10 with value (4 34)           1 with value (4 54)
% 0.59/0.80  ;     3 with value (4 20)          3 with value (4 35)           2 with value (4 55)
% 0.59/0.80  ;    12 with value (4 21)
% 0.59/0.80  Evaluation took:
% 0.59/0.80    0.31 seconds of real time
% 0.59/0.80    0.275005 seconds of user run time
% 0.59/0.80    0.034268 seconds of system run time
% 0.59/0.80    [Run times include 0.006 seconds GC run time.]
% 0.59/0.80    0 calls to %EVAL
% 0.59/0.80    0 page faults and
% 0.59/0.80    22,266,816 bytes consed.
% 0.59/0.80  :PROOF-FOUND
% 0.59/0.80  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T22:31:10
% 0.59/0.80  :PROOF-FOUND
% 0.59/0.80  * 
%------------------------------------------------------------------------------