TSTP Solution File: SEU044+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 14:18:52 EDT 2022

% Result   : Theorem 0.36s 0.62s
% Output   : Refutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   17 (   8 unt;   2 nHn;  13 RR)
%            Number of literals    :   44 (   3 equ;  28 neg)
%            Maximal clause size   :    8 (   2 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   :   18 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(19,axiom,
    ( ~ relation(X)
    | relation(relation_rng_restriction(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).

cnf(20,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | function(relation_rng_restriction(Y,X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_funct_1) ).

cnf(41,negated_conjecture,
    relation('SKOLEMAAAV14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).

cnf(42,negated_conjecture,
    function('SKOLEMAAAV14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).

cnf(43,negated_conjecture,
    ( ~ in('SKOLEMAAAV13',relation_dom(relation_rng_restriction('SKOLEMAAAV12','SKOLEMAAAV14')))
    | ~ in('SKOLEMAAAV13',relation_dom('SKOLEMAAAV14'))
    | ~ in(apply('SKOLEMAAAV14','SKOLEMAAAV13'),'SKOLEMAAAV12') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).

cnf(44,negated_conjecture,
    ( in('SKOLEMAAAV13',relation_dom(relation_rng_restriction('SKOLEMAAAV12','SKOLEMAAAV14')))
    | in('SKOLEMAAAV13',relation_dom('SKOLEMAAAV14')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).

cnf(45,negated_conjecture,
    ( in('SKOLEMAAAV13',relation_dom(relation_rng_restriction('SKOLEMAAAV12','SKOLEMAAAV14')))
    | in(apply('SKOLEMAAAV14','SKOLEMAAAV13'),'SKOLEMAAAV12') ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t86_funct_1) ).

cnf(46,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ relation(Y)
    | ~ function(Y)
    | X != relation_rng_restriction(Z,Y)
    | ~ in(U,relation_dom(X))
    | in(U,relation_dom(Y)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).

cnf(47,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ relation(Y)
    | ~ function(Y)
    | X != relation_rng_restriction(Z,Y)
    | ~ in(U,relation_dom(X))
    | in(apply(Y,U),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).

cnf(48,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ relation(Y)
    | ~ function(Y)
    | X != relation_rng_restriction(Z,Y)
    | in(U,relation_dom(X))
    | ~ in(U,relation_dom(Y))
    | ~ in(apply(Y,U),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t85_funct_1) ).

cnf(73,plain,
    relation(relation_rng_restriction(X,'SKOLEMAAAV14')),
    inference('HYPERRESOLVE',[status(thm)],[19,41]) ).

cnf(93,plain,
    function(relation_rng_restriction(X,'SKOLEMAAAV14')),
    inference('HYPERRESOLVE',[status(thm)],[20,41,42]) ).

cnf(166,plain,
    in('SKOLEMAAAV13',relation_dom('SKOLEMAAAV14')),
    inference('HYPERRESOLVE',[status(thm)],[46,93,73,41,42,44,theory(equality)]) ).

cnf(167,plain,
    ( ~ in('SKOLEMAAAV13',relation_dom(relation_rng_restriction('SKOLEMAAAV12','SKOLEMAAAV14')))
    | ~ in(apply('SKOLEMAAAV14','SKOLEMAAAV13'),'SKOLEMAAAV12') ),
    inference('REWRITE',[status(thm)],[43,166]) ).

cnf(168,plain,
    in(apply('SKOLEMAAAV14','SKOLEMAAAV13'),'SKOLEMAAAV12'),
    inference('HYPERRESOLVE',[status(thm)],[47,93,73,41,42,45,theory(equality)]) ).

cnf(169,plain,
    ~ in('SKOLEMAAAV13',relation_dom(relation_rng_restriction('SKOLEMAAAV12','SKOLEMAAAV14'))),
    inference('REWRITE',[status(thm)],[167,168]) ).

cnf(267,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[48,166,73,93,41,42,169,theory(equality)]),168]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU044+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 18 20:32:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  * 
% 0.18/0.46  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T20:32:02
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T20:32:02
% 0.18/0.48  WARNING:
% 0.18/0.48     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48  WARNING:
% 0.18/0.48     |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.36/0.62  
% 0.36/0.62  
% 0.36/0.62  #||
% 0.36/0.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.62  % SZS output start Refutation
% See solution above
% 0.36/0.62  ||#
% 0.36/0.62  
% 0.36/0.62  ; Summary of computation:
% 0.36/0.62  ;       471 formulas have been input or derived (from 92 formulas).
% 0.36/0.62  ;       267 (57%) were retained.  Of these,
% 0.36/0.62  ;           44 (16%) were simplified or subsumed later,
% 0.36/0.62  ;          223 (84%) are still being kept.
% 0.36/0.62  ; 
% 0.36/0.62  ; Run time in seconds excluding printing time:
% 0.36/0.62  ;     0.006   4%   Read assertion file          (1 call)
% 0.36/0.62  ;     0.002   1%   Assert                       (34 calls)
% 0.36/0.62  ;     0.022  14%   Process new row              (412 calls)
% 0.36/0.62  ;     0.062  40%   Resolution                   (182 calls)
% 0.36/0.62  ;     0.000   0%   Paramodulation               (91 calls)
% 0.36/0.62  ;     0.000   0%   Factoring                    (3 calls)
% 0.36/0.62  ;     0.003   2%   Condensing                   (173 calls)
% 0.36/0.62  ;     0.012   8%   Forward subsumption          (173 calls)
% 0.36/0.62  ;     0.007   5%   Backward subsumption         (148 calls)
% 0.36/0.62  ;     0.000   0%   Clause clause subsumption    (172 calls)
% 0.36/0.62  ;     0.010   6%   Forward simplification       (392 calls)
% 0.36/0.62  ;     0.004   3%   Backward simplification      (267 calls)
% 0.36/0.62  ;     0.002   1%   Ordering                     (488 calls)
% 0.36/0.62  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.36/0.62  ;     0.001   1%   Purity testing               (1 call)
% 0.36/0.62  ;     0.023  15%   Other
% 0.36/0.62  ;     0.154        Total
% 0.36/0.62  ;     0.156        Real time
% 0.36/0.62  ; 
% 0.36/0.62  ; Term-hash-array has 611 terms in all.
% 0.36/0.62  ; Feature-vector-row-index has 122 entries (122 at peak, 148 added, 26 deleted).
% 0.36/0.62  ; Feature-vector-row-index has 636 nodes (636 at peak, 853 added, 217 deleted).
% 0.36/0.62  ;  Retrieved 324 possibly forward subsuming rows in 173 calls.
% 0.36/0.62  ;  Retrieved 121 possibly backward subsumed rows in 148 calls.
% 0.36/0.62  ; Path-index has 575 entries (575 at peak, 688 added, 113 deleted).
% 0.36/0.62  ; Path-index has 554 nodes (554 at peak, 599 added, 45 deleted).
% 0.36/0.62  ; Trie-index has 575 entries (575 at peak, 688 added, 113 deleted).
% 0.36/0.62  ; Trie-index has 1,577 nodes (1,577 at peak, 1,848 added, 271 deleted).
% 0.36/0.62  ; Retrieved 199 generalization terms in 1,609 calls.
% 0.36/0.62  ; Retrieved 125 instance terms in 118 calls.
% 0.36/0.62  ; Retrieved 53,431 unifiable terms in 14,783 calls.
% 0.36/0.62  ; 
% 0.36/0.62  ; The agenda of rows to process has 7 entries:
% 0.36/0.62  ;     4 with value 13              3 with value 17
% 0.36/0.62  ; The agenda of rows to give has 142 entries:
% 0.36/0.62  ;     1 with value (4 7)           3 with value (4 17)           6 with value (4 34)
% 0.36/0.62  ;     3 with value (4 8)           3 with value (4 18)           9 with value (4 36)
% 0.36/0.62  ;    15 with value (4 9)           1 with value (4 19)           9 with value (4 49)
% 0.36/0.62  ;     7 with value (4 10)          3 with value (4 20)           9 with value (4 50)
% 0.36/0.62  ;    17 with value (4 11)          2 with value (4 23)           9 with value (4 51)
% 0.36/0.62  ;     5 with value (4 12)          3 with value (4 26)           9 with value (4 52)
% 0.36/0.62  ;     2 with value (4 13)          3 with value (4 28)           9 with value (4 61)
% 0.36/0.62  ;     1 with value (4 14)          3 with value (4 30)           9 with value (4 63)
% 0.36/0.62  ;     1 with value (4 15)
% 0.36/0.62  Evaluation took:
% 0.36/0.62    0.157 seconds of real time
% 0.36/0.62    0.145127 seconds of user run time
% 0.36/0.62    0.011189 seconds of system run time
% 0.36/0.62    0 calls to %EVAL
% 0.36/0.62    0 page faults and
% 0.36/0.62    11,556,448 bytes consed.
% 0.36/0.62  :PROOF-FOUND
% 0.36/0.62  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T20:32:02
% 0.36/0.62  :PROOF-FOUND
% 0.36/0.62  * 
%------------------------------------------------------------------------------