TSTP Solution File: SEU120+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU120+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 14:19:13 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   4 unt;   2 nHn;  10 RR)
%            Number of literals    :   18 (   6 equ;   8 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    9 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( X != empty_set
    | ~ in(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).

cnf(3,axiom,
    ( X = empty_set
    | in('SKOLEMAAAV1'(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_xboole_0) ).

cnf(4,axiom,
    ( ~ disjoint(X,Y)
    | set_intersection2(X,Y) = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).

cnf(5,axiom,
    ( disjoint(X,Y)
    | set_intersection2(X,Y) != empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_xboole_0) ).

cnf(10,negated_conjecture,
    ( ~ disjoint('SKOLEMAAAV4','SKOLEMAAAV5')
    | in('SKOLEMAAAV6',set_intersection2('SKOLEMAAAV4','SKOLEMAAAV5')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).

cnf(12,negated_conjecture,
    ( ~ in(X,set_intersection2('SKOLEMAAAV4','SKOLEMAAAV5'))
    | disjoint('SKOLEMAAAV4','SKOLEMAAAV5') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).

cnf(13,plain,
    ~ in(X,empty_set),
    inference('UR-RESOLVE',[status(thm)],[2,theory(equality)]) ).

cnf(16,plain,
    ( set_intersection2('SKOLEMAAAV4','SKOLEMAAAV5') = empty_set
    | disjoint('SKOLEMAAAV4','SKOLEMAAAV5') ),
    inference('HYPERRESOLVE',[status(thm)],[12,3]) ).

cnf(18,plain,
    set_intersection2('SKOLEMAAAV4','SKOLEMAAAV5') = empty_set,
    inference('HYPERRESOLVE',[status(thm)],[4,16]) ).

cnf(19,plain,
    ~ disjoint('SKOLEMAAAV4','SKOLEMAAAV5'),
    inference('REWRITE',[status(thm)],[10,13,18,theory(equality)]) ).

cnf(20,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,19]),18,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU120+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 19 23:46:01 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.43  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44  * 
% 0.19/0.44  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 0.19/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45   (USE-FACTORING :POS)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45  * 
% 0.19/0.45  "."
% 0.19/0.45  * 
% 0.19/0.45  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T23:46:01
% 0.19/0.45  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-19T23:46:01
% 0.19/0.46  
% 0.19/0.46  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.46  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.46  ; Declaring set_intersection2 to be commutative.
% 0.19/0.48  ; Declaring disjoint to be commutative.
% 0.19/0.48  
% 0.19/0.48  #||
% 0.19/0.48  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  % SZS output start Refutation
% See solution above
% 0.19/0.48  ||#
% 0.19/0.48  
% 0.19/0.48  ; Summary of computation:
% 0.19/0.48  ;        42 formulas have been input or derived (from 18 formulas).
% 0.19/0.48  ;        20 (48%) were retained.  Of these,
% 0.19/0.48  ;            5 (25%) were simplified or subsumed later,
% 0.19/0.48  ;           15 (75%) are still being kept.
% 0.19/0.48  ; 
% 0.19/0.48  ; Run time in seconds excluding printing time:
% 0.19/0.48  ;     0.002   7%   Read assertion file          (1 call)
% 0.19/0.48  ;     0.001   3%   Assert                       (12 calls)
% 0.19/0.48  ;     0.001   3%   Process new row              (35 calls)
% 0.19/0.48  ;     0.002   7%   Resolution                   (34 calls)
% 0.19/0.48  ;     0.000   0%   Paramodulation               (17 calls)
% 0.19/0.48  ;     0.000   0%   Factoring                    (2 calls)
% 0.19/0.48  ;     0.000   0%   Condensing                   (11 calls)
% 0.19/0.48  ;     0.001   3%   Forward subsumption          (11 calls)
% 0.19/0.48  ;     0.000   0%   Backward subsumption         (11 calls)
% 0.19/0.48  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.19/0.48  ;     0.000   0%   Forward simplification       (34 calls)
% 0.19/0.48  ;     0.000   0%   Backward simplification      (20 calls)
% 0.19/0.48  ;     0.000   0%   Ordering                     (26 calls)
% 0.19/0.48  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.19/0.48  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.48  ;     0.022  76%   Other
% 0.19/0.48  ;     0.029        Total
% 0.19/0.48  ;     0.032        Real time
% 0.19/0.48  ; 
% 0.19/0.48  ; Term-hash-array has 21 terms in all.
% 0.19/0.48  ; Feature-vector-row-index has 6 entries (11 at peak, 11 added, 5 deleted).
% 0.19/0.48  ; Feature-vector-row-index has 17 nodes (74 at peak, 74 added, 57 deleted).
% 0.19/0.48  ;  Retrieved 0 possibly forward subsuming rows in 11 calls.
% 0.19/0.48  ;  Retrieved 1 possibly backward subsumed row in 11 calls.
% 0.19/0.48  ; Path-index has 25 entries (27 at peak, 29 added, 4 deleted).
% 0.19/0.48  ; Path-index has 38 nodes (41 at peak, 44 added, 6 deleted).
% 0.19/0.48  ; Trie-index has 25 entries (27 at peak, 29 added, 4 deleted).
% 0.19/0.48  ; Trie-index has 43 nodes (50 at peak, 53 added, 10 deleted).
% 0.19/0.48  ; Retrieved 22 generalization terms in 29 calls.
% 0.19/0.48  ; Retrieved 9 instance terms in 8 calls.
% 0.19/0.48  ; Retrieved 128 unifiable terms in 85 calls.
% 0.19/0.48  ; 
% 0.19/0.48  ; The agenda of rows to give has 1 entry:
% 0.19/0.48  ;     1 with value (4 9)
% 0.19/0.48  Evaluation took:
% 0.19/0.48    0.033 seconds of real time
% 0.19/0.48    0.027576 seconds of user run time
% 0.19/0.48    0.004629 seconds of system run time
% 0.19/0.48    0 calls to %EVAL
% 0.19/0.48    0 page faults and
% 0.19/0.48    2,067,656 bytes consed.
% 0.19/0.48  :PROOF-FOUND
% 0.19/0.48  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T23:46:01
% 0.19/0.48  :PROOF-FOUND
% 0.19/0.48  * 
%------------------------------------------------------------------------------