TSTP Solution File: SET576+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET576+3 : TPTP v8.1.0. Released v2.2.0.
% 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 05:10:28 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   5 unt;   1 nHn;   8 RR)
%            Number of literals    :   13 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ intersect(X,Y)
    | member('SKOLEMAAAV1'(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).

cnf(2,axiom,
    ( ~ intersect(X,Y)
    | member('SKOLEMAAAV1'(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).

cnf(5,axiom,
    ( disjoint(X,Y)
    | intersect(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).

cnf(6,negated_conjecture,
    ( ~ member(X,'SKOLEMAAAV2')
    | ~ member(X,'SKOLEMAAAV3') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th17) ).

cnf(7,negated_conjecture,
    ~ disjoint('SKOLEMAAAV2','SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th17) ).

cnf(8,plain,
    intersect('SKOLEMAAAV2','SKOLEMAAAV3'),
    inference('UR-RESOLVE',[status(thm)],[5,7]) ).

cnf(14,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV2','SKOLEMAAAV3'),'SKOLEMAAAV3'),
    inference('HYPERRESOLVE',[status(thm)],[2,8]) ).

cnf(16,plain,
    member('SKOLEMAAAV1'('SKOLEMAAAV2','SKOLEMAAAV3'),'SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[1,8]) ).

cnf(19,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,14]),16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET576+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n004.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 12:31:52 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/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  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:31:52
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T12:31:52
% 0.20/0.50  
% 0.20/0.50  ; Recognized commutativity assertion (OR (NOT (|intersect| ?X ?Y)) (|intersect| ?Y ?X)).
% 0.20/0.51  ; Declaring intersect to be commutative.
% 0.20/0.51  
% 0.20/0.51  #||
% 0.20/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51  % SZS output start Refutation
% See solution above
% 0.20/0.51  ||#
% 0.20/0.51  
% 0.20/0.51  ; Summary of computation:
% 0.20/0.51  ;        29 formulas have been input or derived (from 11 formulas).
% 0.20/0.51  ;        19 (66%) were retained.  Of these,
% 0.20/0.51  ;           19 (100%) are still being kept.
% 0.20/0.51  ; 
% 0.20/0.51  ; Run time in seconds excluding printing time:
% 0.20/0.51  ;     0.002   7%   Read assertion file          (1 call)
% 0.20/0.51  ;     0.000   0%   Assert                       (4 calls)
% 0.20/0.51  ;     0.002   7%   Process new row              (26 calls)
% 0.20/0.51  ;     0.001   4%   Resolution                   (20 calls)
% 0.20/0.51  ;     0.000   0%   Paramodulation               (10 calls)
% 0.20/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.20/0.51  ;     0.000   0%   Condensing                   (10 calls)
% 0.20/0.51  ;     0.000   0%   Forward subsumption          (10 calls)
% 0.20/0.51  ;     0.000   0%   Backward subsumption         (10 calls)
% 0.20/0.51  ;     0.000   0%   Clause clause subsumption    (14 calls)
% 0.20/0.51  ;     0.000   0%   Forward simplification       (26 calls)
% 0.20/0.51  ;     0.000   0%   Backward simplification      (19 calls)
% 0.20/0.51  ;     0.000   0%   Ordering                     (10 calls)
% 0.20/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.51  ;     0.001   4%   Purity testing               (1 call)
% 0.20/0.52  ;     0.022  79%   Other
% 0.20/0.52  ;     0.028        Total
% 0.20/0.52  ;     0.030        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 22 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 14 nodes (14 at peak, 14 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 7 possibly forward subsuming rows in 10 calls.
% 0.20/0.52  ;  Retrieved 7 possibly backward subsumed rows in 10 calls.
% 0.20/0.52  ; Path-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.20/0.52  ; Path-index has 41 nodes (41 at peak, 41 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.20/0.52  ; Trie-index has 41 nodes (41 at peak, 41 added, 0 deleted).
% 0.20/0.52  ; Retrieved 7 generalization terms in 16 calls.
% 0.20/0.52  ; Retrieved 9 instance terms in 8 calls.
% 0.20/0.52  ; Retrieved 112 unifiable terms in 61 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to give has 8 entries:
% 0.20/0.52  ;     1 with value (4 7)           3 with value (4 9)            4 with value (4 12)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.031 seconds of real time
% 0.20/0.52    0.023447 seconds of user run time
% 0.20/0.52    0.007158 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    1,825,840 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:31:52
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
%------------------------------------------------------------------------------