TSTP Solution File: SEU223+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n007.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 0.20s 0.53s
% Output   : Refutation 0.38s
% 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(24,axiom,
    ( ~ relation(X)
    | relation(relation_dom_restriction(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).

cnf(25,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | function(relation_dom_restriction(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).

cnf(48,negated_conjecture,
    relation('SKOLEMAAAV14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_funct_1) ).

cnf(49,negated_conjecture,
    function('SKOLEMAAAV14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_funct_1) ).

cnf(50,negated_conjecture,
    in('SKOLEMAAAV13',relation_dom(relation_dom_restriction('SKOLEMAAAV14','SKOLEMAAAV12'))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_funct_1) ).

cnf(51,negated_conjecture,
    apply(relation_dom_restriction('SKOLEMAAAV14','SKOLEMAAAV12'),'SKOLEMAAAV13') != apply('SKOLEMAAAV14','SKOLEMAAAV13'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t70_funct_1) ).

cnf(53,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/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).

cnf(73,plain,
    relation(relation_dom_restriction('SKOLEMAAAV14',X)),
    inference('HYPERRESOLVE',[status(thm)],[24,48]) ).

cnf(98,plain,
    function(relation_dom_restriction('SKOLEMAAAV14',X)),
    inference('HYPERRESOLVE',[status(thm)],[25,48,49]) ).

cnf(137,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[53,73,48,49,50,51,theory(equality)]),98]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n007.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 15:53:29 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 2022-06-19T15:53:29
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-19T15:53:29
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.49  WARNING:
% 0.20/0.49     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.53  ; Declaring set_intersection2 to be commutative.
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.38/0.53  ||#
% 0.38/0.53  
% 0.38/0.53  ; Summary of computation:
% 0.38/0.53  ;       338 formulas have been input or derived (from 67 formulas).
% 0.38/0.53  ;       137 (41%) were retained.  Of these,
% 0.38/0.53  ;           21 (15%) were simplified or subsumed later,
% 0.38/0.53  ;          116 (85%) are still being kept.
% 0.38/0.53  ; 
% 0.38/0.53  ; Run time in seconds excluding printing time:
% 0.38/0.53  ;     0.007  11%   Read assertion file          (1 call)
% 0.38/0.53  ;     0.003   5%   Assert                       (39 calls)
% 0.38/0.53  ;     0.007  11%   Process new row              (285 calls)
% 0.38/0.53  ;     0.012  19%   Resolution                   (132 calls)
% 0.38/0.53  ;     0.002   3%   Paramodulation               (66 calls)
% 0.38/0.53  ;     0.000   0%   Factoring                    (1 call)
% 0.38/0.53  ;     0.001   2%   Condensing                   (37 calls)
% 0.38/0.53  ;     0.002   3%   Forward subsumption          (37 calls)
% 0.38/0.53  ;     0.000   0%   Backward subsumption         (36 calls)
% 0.38/0.53  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.38/0.53  ;     0.002   3%   Forward simplification       (269 calls)
% 0.38/0.53  ;     0.001   2%   Backward simplification      (137 calls)
% 0.38/0.53  ;     0.001   2%   Ordering                     (55 calls)
% 0.38/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.53  ;     0.024  39%   Other
% 0.38/0.53  ;     0.062        Total
% 0.38/0.53  ;     0.065        Real time
% 0.38/0.53  ; 
% 0.38/0.53  ; Term-hash-array has 215 terms in all.
% 0.38/0.53  ; Feature-vector-row-index has 32 entries (33 at peak, 36 added, 4 deleted).
% 0.38/0.53  ; Feature-vector-row-index has 120 nodes (120 at peak, 143 added, 23 deleted).
% 0.38/0.53  ;  Retrieved 2 possibly forward subsuming rows in 37 calls.
% 0.38/0.53  ;  Retrieved 5 possibly backward subsumed rows in 36 calls.
% 0.38/0.53  ; Path-index has 203 entries (203 at peak, 228 added, 25 deleted).
% 0.38/0.53  ; Path-index has 354 nodes (354 at peak, 390 added, 36 deleted).
% 0.38/0.53  ; Trie-index has 203 entries (203 at peak, 228 added, 25 deleted).
% 0.38/0.53  ; Trie-index has 408 nodes (408 at peak, 459 added, 51 deleted).
% 0.38/0.53  ; Retrieved 188 generalization terms in 417 calls.
% 0.38/0.53  ; Retrieved 105 instance terms in 100 calls.
% 0.38/0.53  ; Retrieved 8,268 unifiable terms in 2,090 calls.
% 0.38/0.53  ; 
% 0.38/0.53  ; The agenda of rows to process has 27 entries:
% 0.38/0.53  ;    26 with value 11              1 with value 13
% 0.38/0.53  ; The agenda of rows to give has 57 entries:
% 0.38/0.53  ;    24 with value (4 7)           6 with value (4 11)           1 with value (4 37)
% 0.38/0.53  ;     5 with value (4 8)           3 with value (4 12)           1 with value (4 40)
% 0.38/0.53  ;     7 with value (4 9)           1 with value (4 34)           1 with value (4 43)
% 0.38/0.53  ;     8 with value (4 10)
% 0.38/0.53  Evaluation took:
% 0.38/0.53    0.066 seconds of real time
% 0.38/0.53    0.055216 seconds of user run time
% 0.38/0.53    0.009954 seconds of system run time
% 0.38/0.53    0 calls to %EVAL
% 0.38/0.53    0 page faults and
% 0.38/0.53    3,615,816 bytes consed.
% 0.38/0.53  :PROOF-FOUND
% 0.38/0.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T15:53:29
% 0.38/0.53  :PROOF-FOUND
% 0.38/0.53  * 
%------------------------------------------------------------------------------