TSTP Solution File: SEU219+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n017.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 14:20:16 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   20 (  11 equ;  10 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,axiom,
    ( ~ relation(X)
    | ~ function(X)
    | ~ one_to_one(X)
    | function_inverse(X) = relation_inverse(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).

cnf(45,axiom,
    ( ~ relation(X)
    | relation_rng(X) = relation_dom(relation_inverse(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).

cnf(46,axiom,
    ( ~ relation(X)
    | relation_dom(X) = relation_rng(relation_inverse(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).

cnf(50,negated_conjecture,
    relation('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).

cnf(51,negated_conjecture,
    function('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).

cnf(52,negated_conjecture,
    one_to_one('SKOLEMAAAV12'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).

cnf(53,negated_conjecture,
    ( relation_rng('SKOLEMAAAV12') != relation_dom(function_inverse('SKOLEMAAAV12'))
    | relation_dom('SKOLEMAAAV12') != relation_rng(function_inverse('SKOLEMAAAV12')) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).

cnf(111,plain,
    relation_rng('SKOLEMAAAV12') = relation_dom(relation_inverse('SKOLEMAAAV12')),
    inference('HYPERRESOLVE',[status(thm)],[45,50]) ).

cnf(112,plain,
    ( relation_dom(relation_inverse('SKOLEMAAAV12')) != relation_dom(function_inverse('SKOLEMAAAV12'))
    | relation_dom('SKOLEMAAAV12') != relation_rng(function_inverse('SKOLEMAAAV12')) ),
    inference('REWRITE',[status(thm)],[53,111,theory(equality)]) ).

cnf(121,plain,
    relation_dom('SKOLEMAAAV12') = relation_rng(relation_inverse('SKOLEMAAAV12')),
    inference('HYPERRESOLVE',[status(thm)],[46,50]) ).

cnf(130,plain,
    function_inverse('SKOLEMAAAV12') = relation_inverse('SKOLEMAAAV12'),
    inference('HYPERRESOLVE',[status(thm)],[5,50,51,52]) ).

cnf(133,plain,
    relation_dom('SKOLEMAAAV12') != relation_rng(function_inverse('SKOLEMAAAV12')),
    inference('REWRITE',[status(thm)],[112,130,theory(equality)]) ).

cnf(134,plain,
    $false,
    inference('REWRITE',[status(thm)],[121,133,130,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12  % Problem  : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 18:55:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T18:55:43
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-19T18:55:43
% 0.19/0.49  WARNING:
% 0.19/0.49     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52  
% 0.19/0.52  
% 0.19/0.52  #||
% 0.19/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52  % SZS output start Refutation
% See solution above
% 0.19/0.52  ||#
% 0.19/0.52  
% 0.19/0.52  ; Summary of computation:
% 0.19/0.52  ;       223 formulas have been input or derived (from 58 formulas).
% 0.19/0.52  ;       134 (60%) were retained.  Of these,
% 0.19/0.52  ;           23 (17%) were simplified or subsumed later,
% 0.19/0.52  ;          111 (83%) are still being kept.
% 0.19/0.52  ; 
% 0.19/0.52  ; Run time in seconds excluding printing time:
% 0.19/0.52  ;     0.007  14%   Read assertion file          (1 call)
% 0.19/0.52  ;     0.002   4%   Assert                       (40 calls)
% 0.19/0.52  ;     0.008  16%   Process new row              (206 calls)
% 0.19/0.52  ;     0.003   6%   Resolution                   (114 calls)
% 0.19/0.52  ;     0.000   0%   Paramodulation               (57 calls)
% 0.19/0.52  ;     0.000   0%   Factoring                    (1 call)
% 0.19/0.52  ;     0.001   2%   Condensing                   (37 calls)
% 0.19/0.52  ;     0.000   0%   Forward subsumption          (37 calls)
% 0.19/0.52  ;     0.000   0%   Backward subsumption         (36 calls)
% 0.19/0.52  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.19/0.52  ;     0.000   0%   Forward simplification       (201 calls)
% 0.19/0.52  ;     0.003   6%   Backward simplification      (134 calls)
% 0.19/0.52  ;     0.000   0%   Ordering                     (39 calls)
% 0.19/0.52  ;     0.001   2%   Sortal reasoning             (32 calls)
% 0.19/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.19/0.52  ;     0.024  49%   Other
% 0.19/0.52  ;     0.049        Total
% 0.19/0.52  ;     0.051        Real time
% 0.19/0.52  ; 
% 0.19/0.52  ; Term-hash-array has 197 terms in all.
% 0.19/0.52  ; Feature-vector-row-index has 34 entries (35 at peak, 36 added, 2 deleted).
% 0.19/0.52  ; Feature-vector-row-index has 76 nodes (89 at peak, 101 added, 25 deleted).
% 0.19/0.52  ;  Retrieved 6 possibly forward subsuming rows in 37 calls.
% 0.19/0.52  ;  Retrieved 2 possibly backward subsumed rows in 36 calls.
% 0.19/0.52  ; Path-index has 182 entries (188 at peak, 217 added, 35 deleted).
% 0.19/0.52  ; Path-index has 278 nodes (282 at peak, 317 added, 39 deleted).
% 0.19/0.52  ; Trie-index has 182 entries (188 at peak, 217 added, 35 deleted).
% 0.19/0.52  ; Trie-index has 317 nodes (326 at peak, 378 added, 61 deleted).
% 0.19/0.52  ; Retrieved 71 generalization terms in 243 calls.
% 0.19/0.52  ; Retrieved 104 instance terms in 97 calls.
% 0.19/0.52  ; Retrieved 1,449 unifiable terms in 460 calls.
% 0.19/0.52  ; 
% 0.19/0.52  ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.19/0.52  ;     1 with value 0
% 0.19/0.52  ; The agenda of rows to process has 3 entries:
% 0.19/0.52  ;     3 with value 8
% 0.19/0.52  ; The agenda of input rows to give has 1 entry:
% 0.19/0.52  ;     1 with value 9
% 0.19/0.52  ; The agenda of rows to give has 60 entries:
% 0.19/0.52  ;     1 with value (4 4)           5 with value (4 7)           14 with value (4 10)
% 0.19/0.52  ;     5 with value (4 5)           7 with value (4 8)            2 with value (4 11)
% 0.19/0.52  ;    18 with value (4 6)           8 with value (4 9)
% 0.19/0.52  Evaluation took:
% 0.19/0.52    0.052 seconds of real time
% 0.19/0.52    0.045617 seconds of user run time
% 0.19/0.52    0.005746 seconds of system run time
% 0.19/0.52    0 calls to %EVAL
% 0.19/0.52    0 page faults and
% 0.19/0.52    3,107,720 bytes consed.
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T18:55:44
% 0.19/0.52  :PROOF-FOUND
% 0.19/0.52  * 
%------------------------------------------------------------------------------