TSTP Solution File: SEU162+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU162+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n008.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 14:19:41 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   4 unt;   2 nHn;  10 RR)
%            Number of literals    :   18 (   6 equ;   7 neg)
%            Maximal clause size   :    2 (   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   :    8 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ disjoint(singleton(X),Y)
    | ~ in(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l25_zfmisc_1) ).

cnf(3,axiom,
    ( in(X,Y)
    | disjoint(singleton(X),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l28_zfmisc_1) ).

cnf(6,negated_conjecture,
    ( set_difference('SKOLEMAAAV3',singleton('SKOLEMAAAV4')) != 'SKOLEMAAAV3'
    | in('SKOLEMAAAV4','SKOLEMAAAV3') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).

cnf(7,negated_conjecture,
    ( set_difference('SKOLEMAAAV3',singleton('SKOLEMAAAV4')) = 'SKOLEMAAAV3'
    | ~ in('SKOLEMAAAV4','SKOLEMAAAV3') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).

cnf(8,axiom,
    ( ~ disjoint(X,Y)
    | set_difference(X,Y) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).

cnf(9,axiom,
    ( disjoint(X,Y)
    | set_difference(X,Y) != X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t83_xboole_1) ).

cnf(11,plain,
    ( disjoint(singleton('SKOLEMAAAV4'),'SKOLEMAAAV3')
    | set_difference('SKOLEMAAAV3',singleton('SKOLEMAAAV4')) = 'SKOLEMAAAV3' ),
    inference('HYPERRESOLVE',[status(thm)],[7,3]) ).

cnf(19,plain,
    set_difference('SKOLEMAAAV3',singleton('SKOLEMAAAV4')) = 'SKOLEMAAAV3',
    inference('HYPERRESOLVE',[status(thm)],[8,11]) ).

cnf(20,plain,
    in('SKOLEMAAAV4','SKOLEMAAAV3'),
    inference('REWRITE',[status(thm)],[6,19,theory(equality)]) ).

cnf(23,plain,
    ~ disjoint(singleton('SKOLEMAAAV4'),'SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[2,20]) ).

cnf(26,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,23]),19,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU162+3 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n008.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 15:08:07 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T15:08:07
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-19T15:08:07
% 0.20/0.48  
% 0.20/0.48  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.50  ; Declaring disjoint to be commutative.
% 0.20/0.50  
% 0.20/0.50  #||
% 0.20/0.50  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50  % SZS output start Refutation
% See solution above
% 0.20/0.50  ||#
% 0.20/0.50  
% 0.20/0.50  ; Summary of computation:
% 0.20/0.50  ;        70 formulas have been input or derived (from 21 formulas).
% 0.20/0.50  ;        26 (37%) were retained.  Of these,
% 0.20/0.50  ;            3 (12%) were simplified or subsumed later,
% 0.20/0.50  ;           23 (88%) are still being kept.
% 0.20/0.50  ; 
% 0.20/0.50  ; Run time in seconds excluding printing time:
% 0.20/0.50  ;     0.002   6%   Read assertion file          (1 call)
% 0.20/0.50  ;     0.001   3%   Assert                       (8 calls)
% 0.20/0.50  ;     0.002   6%   Process new row              (53 calls)
% 0.20/0.50  ;     0.002   6%   Resolution                   (40 calls)
% 0.20/0.50  ;     0.000   0%   Paramodulation               (20 calls)
% 0.20/0.50  ;     0.000   0%   Factoring                    (3 calls)
% 0.20/0.50  ;     0.001   3%   Condensing                   (16 calls)
% 0.20/0.50  ;     0.000   0%   Forward subsumption          (16 calls)
% 0.20/0.50  ;     0.001   3%   Backward subsumption         (11 calls)
% 0.20/0.50  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.20/0.50  ;     0.001   3%   Forward simplification       (51 calls)
% 0.20/0.50  ;     0.000   0%   Backward simplification      (26 calls)
% 0.20/0.50  ;     0.001   3%   Ordering                     (38 calls)
% 0.20/0.50  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.50  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.50  ;     0.021  66%   Other
% 0.20/0.50  ;     0.032        Total
% 0.20/0.50  ;     0.034        Real time
% 0.20/0.50  ; 
% 0.20/0.50  ; Term-hash-array has 35 terms in all.
% 0.20/0.50  ; Feature-vector-row-index has 8 entries (11 at peak, 11 added, 3 deleted).
% 0.20/0.50  ; Feature-vector-row-index has 26 nodes (65 at peak, 65 added, 39 deleted).
% 0.20/0.50  ;  Retrieved 7 possibly forward subsuming rows in 16 calls.
% 0.20/0.50  ;  Retrieved 1 possibly backward subsumed row in 11 calls.
% 0.20/0.50  ; Path-index has 39 entries (39 at peak, 41 added, 2 deleted).
% 0.20/0.50  ; Path-index has 71 nodes (71 at peak, 75 added, 4 deleted).
% 0.20/0.50  ; Trie-index has 39 entries (39 at peak, 41 added, 2 deleted).
% 0.20/0.50  ; Trie-index has 75 nodes (75 at peak, 79 added, 4 deleted).
% 0.20/0.50  ; Retrieved 36 generalization terms in 38 calls.
% 0.20/0.50  ; Retrieved 23 instance terms in 14 calls.
% 0.20/0.50  ; Retrieved 193 unifiable terms in 127 calls.
% 0.20/0.50  ; 
% 0.20/0.50  ; The agenda of rows to process has 1 entry:
% 0.20/0.50  ;     1 with value 12
% 0.20/0.50  ; The agenda of rows to give has 5 entries:
% 0.20/0.50  ;     2 with value (4 11)          1 with value (4 17)           1 with value (4 18)
% 0.20/0.50  ;     1 with value (4 12)
% 0.20/0.50  Evaluation took:
% 0.20/0.50    0.034 seconds of real time
% 0.20/0.50    0.030188 seconds of user run time
% 0.20/0.50    0.003806 seconds of system run time
% 0.20/0.50    0 calls to %EVAL
% 0.20/0.50    0 page faults and
% 0.20/0.50    2,198,192 bytes consed.
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T15:08:08
% 0.20/0.50  :PROOF-FOUND
% 0.20/0.50  * 
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