TSTP Solution File: SEU107+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU107+1 : 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 14:19:09 EDT 2022

% Result   : Theorem 0.36s 0.54s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   14 (  10 unt;   3 nHn;  11 RR)
%            Number of literals    :   25 (   4 equ;  11 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-3 aty)
%            Number of variables   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(7,axiom,
    ( empty(X)
    | ~ preboolean(X)
    | ~ element(Y,X)
    | ~ element(Z,X)
    | element(prebool_difference(X,Y,Z),X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_finsub_1) ).

cnf(8,axiom,
    element('SKOLEMAAAU1'(X),X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).

cnf(33,axiom,
    ( empty(X)
    | ~ preboolean(X)
    | ~ element(Y,X)
    | ~ element(Z,X)
    | prebool_difference(X,Y,Z) = set_difference(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_finsub_1) ).

cnf(34,axiom,
    subset(X,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).

cnf(35,negated_conjecture,
    ~ empty('SKOLEMAAAU11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_finsub_1) ).

cnf(36,negated_conjecture,
    preboolean('SKOLEMAAAU11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_finsub_1) ).

cnf(37,negated_conjecture,
    ~ in(empty_set,'SKOLEMAAAU11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_finsub_1) ).

cnf(39,axiom,
    ( ~ element(X,Y)
    | empty(Y)
    | in(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).

cnf(41,axiom,
    ( set_difference(X,Y) = empty_set
    | ~ subset(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).

cnf(110,plain,
    ~ element(empty_set,'SKOLEMAAAU11'),
    inference('UR-RESOLVE',[status(thm)],[39,35,37]) ).

cnf(122,plain,
    set_difference(X,X) = empty_set,
    inference('HYPERRESOLVE',[status(thm)],[41,34]) ).

cnf(130,plain,
    element(prebool_difference('SKOLEMAAAU11','SKOLEMAAAU1'('SKOLEMAAAU11'),'SKOLEMAAAU1'('SKOLEMAAAU11')),'SKOLEMAAAU11'),
    inference('UR-RESOLVE',[status(thm)],[7,35,36,8,8]) ).

cnf(132,plain,
    prebool_difference('SKOLEMAAAU11','SKOLEMAAAU1'('SKOLEMAAAU11'),'SKOLEMAAAU1'('SKOLEMAAAU11')) = empty_set,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[33,35,36,8,8]),122,theory(equality)]) ).

cnf(133,plain,
    $false,
    inference('REWRITE',[status(thm)],[130,110,132,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 19 19:47:54 EDT 2022
% 0.14/0.35  % 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 2022-06-19T19:47:54
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-19T19:47:54
% 0.20/0.50  
% 0.20/0.50  WARNING:
% 0.20/0.50     |cap_closed| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |epsilon_transitive| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |epsilon_connected| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50  WARNING:
% 0.20/0.50     |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.54  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.36/0.54  
% 0.36/0.54  #||
% 0.36/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.54  % SZS output start Refutation
% See solution above
% 0.36/0.54  ||#
% 0.36/0.54  
% 0.36/0.54  ; Summary of computation:
% 0.36/0.54  ;       199 formulas have been input or derived (from 52 formulas).
% 0.36/0.54  ;       133 (67%) were retained.  Of these,
% 0.36/0.54  ;            9 ( 7%) were simplified or subsumed later,
% 0.36/0.54  ;          124 (93%) are still being kept.
% 0.36/0.54  ; 
% 0.36/0.54  ; Run time in seconds excluding printing time:
% 0.36/0.54  ;     0.006  12%   Read assertion file          (1 call)
% 0.36/0.54  ;     0.002   4%   Assert                       (33 calls)
% 0.36/0.54  ;     0.009  18%   Process new row              (185 calls)
% 0.36/0.54  ;     0.002   4%   Resolution                   (102 calls)
% 0.36/0.54  ;     0.001   2%   Paramodulation               (51 calls)
% 0.36/0.54  ;     0.000   0%   Factoring                    (5 calls)
% 0.36/0.54  ;     0.001   2%   Condensing                   (46 calls)
% 0.36/0.54  ;     0.000   0%   Forward subsumption          (46 calls)
% 0.36/0.54  ;     0.002   4%   Backward subsumption         (42 calls)
% 0.36/0.54  ;     0.000   0%   Clause clause subsumption    (9 calls)
% 0.36/0.54  ;     0.002   4%   Forward simplification       (174 calls)
% 0.36/0.54  ;     0.002   4%   Backward simplification      (133 calls)
% 0.36/0.54  ;     0.000   0%   Ordering                     (50 calls)
% 0.36/0.54  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.36/0.54  ;     0.000   0%   Purity testing               (1 call)
% 0.36/0.54  ;     0.023  46%   Other
% 0.36/0.54  ;     0.050        Total
% 0.36/0.54  ;     0.052        Real time
% 0.36/0.54  ; 
% 0.36/0.54  ; Term-hash-array has 190 terms in all.
% 0.36/0.54  ; Feature-vector-row-index has 42 entries (42 at peak, 42 added, 0 deleted).
% 0.36/0.54  ; Feature-vector-row-index has 103 nodes (103 at peak, 103 added, 0 deleted).
% 0.36/0.54  ;  Retrieved 9 possibly forward subsuming rows in 46 calls.
% 0.36/0.54  ;  Retrieved 1 possibly backward subsumed row in 42 calls.
% 0.36/0.54  ; Path-index has 187 entries (188 at peak, 196 added, 9 deleted).
% 0.36/0.54  ; Path-index has 314 nodes (317 at peak, 325 added, 11 deleted).
% 0.36/0.54  ; Trie-index has 187 entries (188 at peak, 196 added, 9 deleted).
% 0.36/0.54  ; Trie-index has 360 nodes (366 at peak, 384 added, 24 deleted).
% 0.36/0.54  ; Retrieved 53 generalization terms in 209 calls.
% 0.36/0.54  ; Retrieved 119 instance terms in 90 calls.
% 0.36/0.54  ; Retrieved 1,642 unifiable terms in 387 calls.
% 0.36/0.54  ; 
% 0.36/0.54  ; The agenda of rows to process has 3 entries:
% 0.36/0.54  ;     1 with value 16              2 with value 19
% 0.36/0.54  ; The agenda of rows to give has 78 entries:
% 0.36/0.54  ;     3 with value (4 4)          19 with value (4 8)            4 with value (4 12)
% 0.36/0.54  ;     4 with value (4 5)           3 with value (4 9)            2 with value (4 13)
% 0.36/0.54  ;    21 with value (4 6)           5 with value (4 10)           2 with value (4 16)
% 0.36/0.54  ;     9 with value (4 7)           6 with value (4 11)
% 0.36/0.54  Evaluation took:
% 0.36/0.54    0.052 seconds of real time
% 0.36/0.54    0.041993 seconds of user run time
% 0.36/0.54    0.010252 seconds of system run time
% 0.36/0.54    0 calls to %EVAL
% 0.36/0.54    0 page faults and
% 0.36/0.54    3,172,824 bytes consed.
% 0.36/0.54  :PROOF-FOUND
% 0.36/0.54  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T19:47:54
% 0.36/0.54  :PROOF-FOUND
% 0.36/0.54  * 
%------------------------------------------------------------------------------