TSTP Solution File: SEU223+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n019.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 14:20:19 EDT 2022

% Result   : Theorem 0.36s 0.55s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   7 unt;   0 nHn;   6 RR)
%            Number of literals    :   19 (   3 equ;  10 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   10 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(31,axiom,
    ( ~ relation(X)
    | relation(relation_dom_restriction(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_relat_1) ).

cnf(34,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | function(relation_dom_restriction(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_funct_1) ).

cnf(38,negated_conjecture,
    relation('SKOLEMAAAV12'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).

cnf(39,negated_conjecture,
    function('SKOLEMAAAV12'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).

cnf(40,negated_conjecture,
    in('SKOLEMAAAV11',relation_dom(relation_dom_restriction('SKOLEMAAAV12','SKOLEMAAAV10'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).

cnf(41,negated_conjecture,
    apply(relation_dom_restriction('SKOLEMAAAV12','SKOLEMAAAV10'),'SKOLEMAAAV11') != apply('SKOLEMAAAV12','SKOLEMAAAV11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t70_funct_1) ).

cnf(43,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ relation(Y)
    | ~ function(Y)
    | X != relation_dom_restriction(Y,Z)
    | ~ in(U,relation_dom(X))
    | apply(X,U) = apply(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_funct_1) ).

cnf(56,plain,
    relation(relation_dom_restriction('SKOLEMAAAV12',X)),
    inference('HYPERRESOLVE',[status(thm)],[31,38]) ).

cnf(71,plain,
    function(relation_dom_restriction('SKOLEMAAAV12',X)),
    inference('HYPERRESOLVE',[status(thm)],[34,38,39]) ).

cnf(100,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[43,56,38,39,40,41,theory(equality)]),71]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jun 19 09:47:24 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 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 2022-06-19T09:47:24
% 0.20/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-19T09:47:24
% 0.20/0.51  
% 0.20/0.51  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.51  WARNING:
% 0.20/0.51     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.55  ; Declaring set_intersection2 to be commutative.
% 0.36/0.55  
% 0.36/0.55  #||
% 0.36/0.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/0.55  % SZS output start Refutation
% See solution above
% 0.36/0.55  ||#
% 0.36/0.55  
% 0.36/0.55  ; Summary of computation:
% 0.36/0.55  ;       284 formulas have been input or derived (from 53 formulas).
% 0.36/0.55  ;       100 (35%) were retained.  Of these,
% 0.36/0.55  ;           17 (17%) were simplified or subsumed later,
% 0.36/0.55  ;           83 (83%) are still being kept.
% 0.36/0.55  ; 
% 0.36/0.55  ; Run time in seconds excluding printing time:
% 0.36/0.55  ;     0.006  10%   Read assertion file          (1 call)
% 0.36/0.55  ;     0.000   0%   Assert                       (37 calls)
% 0.36/0.55  ;     0.006  10%   Process new row              (238 calls)
% 0.36/0.55  ;     0.013  22%   Resolution                   (104 calls)
% 0.36/0.55  ;     0.002   3%   Paramodulation               (52 calls)
% 0.36/0.55  ;     0.000   0%   Condensing                   (29 calls)
% 0.36/0.55  ;     0.001   2%   Forward subsumption          (29 calls)
% 0.36/0.55  ;     0.002   3%   Backward subsumption         (28 calls)
% 0.36/0.55  ;     0.000   0%   Clause clause subsumption    (3 calls)
% 0.36/0.55  ;     0.002   3%   Forward simplification       (224 calls)
% 0.36/0.55  ;     0.001   2%   Backward simplification      (100 calls)
% 0.36/0.55  ;     0.000   0%   Ordering                     (44 calls)
% 0.36/0.55  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.36/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.36/0.55  ;     0.024  41%   Other
% 0.36/0.55  ;     0.058        Total
% 0.36/0.55  ;     0.060        Real time
% 0.36/0.55  ; 
% 0.36/0.55  ; Term-hash-array has 155 terms in all.
% 0.36/0.55  ; Feature-vector-row-index has 24 entries (25 at peak, 28 added, 4 deleted).
% 0.36/0.55  ; Feature-vector-row-index has 104 nodes (112 at peak, 135 added, 31 deleted).
% 0.36/0.55  ;  Retrieved 2 possibly forward subsuming rows in 29 calls.
% 0.36/0.55  ;  Retrieved 1 possibly backward subsumed row in 28 calls.
% 0.36/0.55  ; Path-index has 147 entries (149 at peak, 168 added, 21 deleted).
% 0.36/0.55  ; Path-index has 247 nodes (255 at peak, 279 added, 32 deleted).
% 0.36/0.55  ; Trie-index has 147 entries (149 at peak, 168 added, 21 deleted).
% 0.36/0.55  ; Trie-index has 288 nodes (293 at peak, 329 added, 41 deleted).
% 0.36/0.55  ; Retrieved 167 generalization terms in 366 calls.
% 0.36/0.55  ; Retrieved 72 instance terms in 71 calls.
% 0.36/0.55  ; Retrieved 7,885 unifiable terms in 1,982 calls.
% 0.36/0.55  ; 
% 0.36/0.55  ; The agenda of rows to process has 27 entries:
% 0.36/0.55  ;    26 with value 11              1 with value 13
% 0.36/0.55  ; The agenda of rows to give has 37 entries:
% 0.36/0.55  ;    22 with value (4 7)           6 with value (4 10)           1 with value (4 37)
% 0.36/0.55  ;     2 with value (4 8)           1 with value (4 11)           1 with value (4 40)
% 0.36/0.55  ;     2 with value (4 9)           1 with value (4 34)           1 with value (4 43)
% 0.36/0.55  Evaluation took:
% 0.36/0.55    0.061 seconds of real time
% 0.36/0.55    0.051268 seconds of user run time
% 0.36/0.55    0.009817 seconds of system run time
% 0.36/0.55    0 calls to %EVAL
% 0.36/0.55    0 page faults and
% 0.36/0.55    3,311,904 bytes consed.
% 0.36/0.55  :PROOF-FOUND
% 0.36/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T09:47:24
% 0.36/0.55  :PROOF-FOUND
% 0.36/0.55  * 
%------------------------------------------------------------------------------