TSTP Solution File: SEU133+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU133+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 14:19:21 EDT 2022

% Result   : Theorem 0.18s 0.50s
% Output   : Refutation 0.18s
% 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(3,axiom,
    ( subset(X,Y)
    | in('SKOLEMAAAU1'(X,Y),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(4,axiom,
    ( subset(X,Y)
    | ~ in('SKOLEMAAAU1'(X,Y),Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

cnf(5,axiom,
    ( X != set_difference(Y,Z)
    | ~ in(U,X)
    | in(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).

cnf(15,negated_conjecture,
    ~ subset(set_difference('SKOLEMAAAU5','SKOLEMAAAU6'),'SKOLEMAAAU5'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).

cnf(23,plain,
    in('SKOLEMAAAU1'(set_difference('SKOLEMAAAU5','SKOLEMAAAU6'),'SKOLEMAAAU5'),set_difference('SKOLEMAAAU5','SKOLEMAAAU6')),
    inference('HYPERRESOLVE',[status(thm)],[15,3]) ).

cnf(24,plain,
    ~ in('SKOLEMAAAU1'(set_difference('SKOLEMAAAU5','SKOLEMAAAU6'),'SKOLEMAAAU5'),'SKOLEMAAAU5'),
    inference('UR-RESOLVE',[status(thm)],[4,15]) ).

cnf(42,plain,
    ~ in('SKOLEMAAAU1'(set_difference('SKOLEMAAAU5','SKOLEMAAAU6'),'SKOLEMAAAU5'),set_difference('SKOLEMAAAU5',X)),
    inference('UR-RESOLVE',[status(thm)],[5,24,theory(equality)]) ).

cnf(43,plain,
    $false,
    inference('REWRITE',[status(thm)],[23,42]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU133+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n004.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 12:28:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45   (USE-FACTORING :POS)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45  * 
% 0.18/0.45  "."
% 0.18/0.45  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:28:23
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-19T12:28:23
% 0.18/0.47  
% 0.18/0.50  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.50  
% 0.18/0.50  #||
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50  % SZS output start Refutation
% See solution above
% 0.18/0.50  ||#
% 0.18/0.50  
% 0.18/0.50  ; Summary of computation:
% 0.18/0.50  ;       161 formulas have been input or derived (from 27 formulas).
% 0.18/0.50  ;        43 (27%) were retained.  Of these,
% 0.18/0.50  ;            2 ( 5%) were simplified or subsumed later,
% 0.18/0.50  ;           41 (95%) are still being kept.
% 0.18/0.50  ; 
% 0.18/0.50  ; Run time in seconds excluding printing time:
% 0.18/0.50  ;     0.002   4%   Read assertion file          (1 call)
% 0.18/0.50  ;     0.002   4%   Assert                       (15 calls)
% 0.18/0.50  ;     0.006  13%   Process new row              (139 calls)
% 0.18/0.50  ;     0.005  11%   Resolution                   (52 calls)
% 0.18/0.50  ;     0.001   2%   Paramodulation               (26 calls)
% 0.18/0.50  ;     0.000   0%   Factoring                    (3 calls)
% 0.18/0.50  ;     0.002   4%   Condensing                   (81 calls)
% 0.18/0.50  ;     0.002   4%   Forward subsumption          (81 calls)
% 0.18/0.50  ;     0.002   4%   Backward subsumption         (29 calls)
% 0.18/0.50  ;     0.000   0%   Clause clause subsumption    (125 calls)
% 0.18/0.50  ;     0.002   4%   Forward simplification       (138 calls)
% 0.18/0.50  ;     0.001   2%   Backward simplification      (43 calls)
% 0.18/0.50  ;     0.000   0%   Ordering                     (197 calls)
% 0.18/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.50  ;     0.021  46%   Other
% 0.18/0.50  ;     0.046        Total
% 0.18/0.50  ;     0.047        Real time
% 0.18/0.50  ; 
% 0.18/0.50  ; Term-hash-array has 81 terms in all.
% 0.18/0.50  ; Feature-vector-row-index has 29 entries (29 at peak, 29 added, 0 deleted).
% 0.18/0.50  ; Feature-vector-row-index has 75 nodes (75 at peak, 75 added, 0 deleted).
% 0.18/0.50  ;  Retrieved 154 possibly forward subsuming rows in 81 calls.
% 0.18/0.50  ;  Retrieved 46 possibly backward subsumed rows in 29 calls.
% 0.18/0.50  ; Path-index has 84 entries (85 at peak, 86 added, 2 deleted).
% 0.18/0.50  ; Path-index has 125 nodes (126 at peak, 127 added, 2 deleted).
% 0.18/0.50  ; Trie-index has 84 entries (85 at peak, 86 added, 2 deleted).
% 0.18/0.50  ; Trie-index has 140 nodes (141 at peak, 142 added, 2 deleted).
% 0.18/0.50  ; Retrieved 101 generalization terms in 288 calls.
% 0.18/0.50  ; Retrieved 15 instance terms in 13 calls.
% 0.18/0.50  ; Retrieved 2,382 unifiable terms in 276 calls.
% 0.18/0.50  ; 
% 0.18/0.50  ; The agenda of rows to process has 1 entry:
% 0.18/0.50  ;     1 with value 16
% 0.18/0.50  ; The agenda of rows to give has 15 entries:
% 0.18/0.50  ;     2 with value (4 13)          1 with value (4 23)           1 with value (4 32)
% 0.18/0.50  ;     1 with value (4 14)          2 with value (4 26)           1 with value (4 33)
% 0.18/0.50  ;     3 with value (4 16)          2 with value (4 31)           2 with value (4 34)
% 0.18/0.50  Evaluation took:
% 0.18/0.50    0.047 seconds of real time
% 0.18/0.50    0.038177 seconds of user run time
% 0.18/0.50    0.009221 seconds of system run time
% 0.18/0.50    0 calls to %EVAL
% 0.18/0.50    0 page faults and
% 0.18/0.50    2,623,976 bytes consed.
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T12:28:23
% 0.18/0.50  :PROOF-FOUND
% 0.18/0.50  * 
%------------------------------------------------------------------------------