TSTP Solution File: SEU037+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 14:18:50 EDT 2022

% Result   : Theorem 0.38s 0.59s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   9 unt;   0 nHn;   8 RR)
%            Number of literals    :   27 (   6 equ;  16 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( ~ relation(X)
    | relation(relation_dom_restriction(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_relat_1) ).

cnf(12,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | function(relation_dom_restriction(X,Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_funct_1) ).

cnf(44,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ relation(Y)
    | ~ function(Y)
    | X != relation_dom_restriction(Y,Z)
    | relation_dom(X) = set_intersection2(relation_dom(Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t68_funct_1) ).

cnf(45,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(49,negated_conjecture,
    relation('SKOLEMAAAV15'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_funct_1) ).

cnf(50,negated_conjecture,
    function('SKOLEMAAAV15'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_funct_1) ).

cnf(51,negated_conjecture,
    in('SKOLEMAAAV14',set_intersection2(relation_dom('SKOLEMAAAV15'),'SKOLEMAAAV13')),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_funct_1) ).

cnf(52,negated_conjecture,
    apply(relation_dom_restriction('SKOLEMAAAV15','SKOLEMAAAV13'),'SKOLEMAAAV14') != apply('SKOLEMAAAV15','SKOLEMAAAV14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t71_funct_1) ).

cnf(72,plain,
    relation(relation_dom_restriction('SKOLEMAAAV15',X)),
    inference('HYPERRESOLVE',[status(thm)],[4,49]) ).

cnf(107,plain,
    function(relation_dom_restriction('SKOLEMAAAV15',X)),
    inference('HYPERRESOLVE',[status(thm)],[12,49,50]) ).

cnf(367,plain,
    ~ in('SKOLEMAAAV14',relation_dom(relation_dom_restriction('SKOLEMAAAV15','SKOLEMAAAV13'))),
    inference('UR-RESOLVE',[status(thm)],[45,107,72,49,50,52,theory(equality)]) ).

cnf(368,plain,
    relation_dom(relation_dom_restriction('SKOLEMAAAV15',X)) = set_intersection2(relation_dom('SKOLEMAAAV15'),X),
    inference('HYPERRESOLVE',[status(thm)],[44,107,72,49,50,theory(equality)]) ).

cnf(369,plain,
    $false,
    inference('REWRITE',[status(thm)],[51,367,368,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU037+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n011.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 : Sat Jun 18 23:29:08 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T23:29:08
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-18T23:29:08
% 0.19/0.48  
% 0.19/0.48  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48  WARNING:
% 0.19/0.48     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.38/0.59  ; Declaring set_intersection2 to be commutative.
% 0.38/0.59  
% 0.38/0.59  #||
% 0.38/0.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.59  % SZS output start Refutation
% See solution above
% 0.38/0.59  ||#
% 0.38/0.59  
% 0.38/0.59  ; Summary of computation:
% 0.38/0.59  ;      1322 formulas have been input or derived (from 90 formulas).
% 0.38/0.59  ;       369 (28%) were retained.  Of these,
% 0.38/0.59  ;           25 ( 7%) were simplified or subsumed later,
% 0.38/0.59  ;          344 (93%) are still being kept.
% 0.38/0.59  ; 
% 0.38/0.59  ; Run time in seconds excluding printing time:
% 0.38/0.59  ;     0.007   6%   Read assertion file          (1 call)
% 0.38/0.59  ;     0.003   2%   Assert                       (39 calls)
% 0.38/0.59  ;     0.024  19%   Process new row              (1,266 calls)
% 0.38/0.59  ;     0.045  36%   Resolution                   (178 calls)
% 0.38/0.59  ;     0.002   2%   Paramodulation               (89 calls)
% 0.38/0.59  ;     0.000   0%   Factoring                    (1 call)
% 0.38/0.59  ;     0.001   1%   Condensing                   (37 calls)
% 0.38/0.59  ;     0.000   0%   Forward subsumption          (37 calls)
% 0.38/0.59  ;     0.000   0%   Backward subsumption         (35 calls)
% 0.38/0.59  ;     0.000   0%   Clause clause subsumption    (5 calls)
% 0.38/0.59  ;     0.015  12%   Forward simplification       (1,251 calls)
% 0.38/0.59  ;     0.002   2%   Backward simplification      (369 calls)
% 0.38/0.59  ;     0.000   0%   Ordering                     (78 calls)
% 0.38/0.59  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.59  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.59  ;     0.026  21%   Other
% 0.38/0.59  ;     0.125        Total
% 0.38/0.59  ;     0.127        Real time
% 0.38/0.59  ; 
% 0.38/0.59  ; Term-hash-array has 679 terms in all.
% 0.38/0.59  ; Feature-vector-row-index has 32 entries (33 at peak, 35 added, 3 deleted).
% 0.38/0.59  ; Feature-vector-row-index has 123 nodes (131 at peak, 150 added, 27 deleted).
% 0.38/0.59  ;  Retrieved 4 possibly forward subsuming rows in 37 calls.
% 0.38/0.59  ;  Retrieved 1 possibly backward subsumed row in 35 calls.
% 0.38/0.59  ; Path-index has 661 entries (667 at peak, 691 added, 30 deleted).
% 0.38/0.59  ; Path-index has 430 nodes (443 at peak, 477 added, 47 deleted).
% 0.38/0.59  ; Trie-index has 661 entries (667 at peak, 691 added, 30 deleted).
% 0.38/0.59  ; Trie-index has 1,228 nodes (1,253 at peak, 1,301 added, 73 deleted).
% 0.38/0.59  ; Retrieved 1,578 generalization terms in 2,286 calls.
% 0.38/0.59  ; Retrieved 520 instance terms in 333 calls.
% 0.38/0.59  ; Retrieved 55,949 unifiable terms in 9,290 calls.
% 0.38/0.59  ; 
% 0.38/0.59  ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.38/0.59  ;     4 with value 0
% 0.38/0.59  ; The agenda of rows to process has 6 entries:
% 0.38/0.59  ;     4 with value 18              2 with value 33
% 0.38/0.59  ; The agenda of rows to give has 264 entries:
% 0.38/0.59  ;     2 with value (4 7)         105 with value (4 11)           1 with value (4 34)
% 0.38/0.59  ;    10 with value (4 8)           3 with value (4 12)           1 with value (4 37)
% 0.38/0.59  ;     7 with value (4 9)         126 with value (4 13)           1 with value (4 40)
% 0.38/0.59  ;     6 with value (4 10)          1 with value (4 14)           1 with value (4 43)
% 0.38/0.59  Evaluation took:
% 0.38/0.59    0.128 seconds of real time
% 0.38/0.59    0.115595 seconds of user run time
% 0.38/0.59    0.012166 seconds of system run time
% 0.38/0.59    0 calls to %EVAL
% 0.38/0.59    0 page faults and
% 0.38/0.59    8,067,144 bytes consed.
% 0.38/0.59  :PROOF-FOUND
% 0.38/0.59  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T23:29:08
% 0.38/0.59  :PROOF-FOUND
% 0.38/0.59  * 
%------------------------------------------------------------------------------