TSTP Solution File: SEU188+1 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n020.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 14:19:57 EDT 2022

% Result   : Theorem 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   10 (   6 unt;   1 nHn;  10 RR)
%            Number of literals    :   16 (   5 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    3 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(13,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).

cnf(18,axiom,
    ( empty(X)
    | ~ relation(X)
    | ~ empty(relation_dom(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_relat_1) ).

cnf(19,axiom,
    ( empty(X)
    | ~ relation(X)
    | ~ empty(relation_rng(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_relat_1) ).

cnf(33,negated_conjecture,
    relation('SKOLEMAAAU14'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).

cnf(34,negated_conjecture,
    ( relation_dom('SKOLEMAAAU14') = empty_set
    | relation_rng('SKOLEMAAAU14') = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).

cnf(35,negated_conjecture,
    'SKOLEMAAAU14' != empty_set,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_relat_1) ).

cnf(36,axiom,
    ( ~ empty(X)
    | X = empty_set ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).

cnf(40,plain,
    ~ empty('SKOLEMAAAU14'),
    inference('UR-RESOLVE',[status(thm)],[36,35]) ).

cnf(56,plain,
    relation_dom('SKOLEMAAAU14') = empty_set,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,34,theory(equality)]),13,33,40]) ).

cnf(68,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[18,40,33]),13,56,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.13  % Command  : run-snark %s %d
% 0.13/0.33  % Computer : n020.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 : Sun Jun 19 02:18:48 EDT 2022
% 0.13/0.34  % 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 2022-06-19T02:18:48
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-19T02:18:48
% 0.18/0.48  
% 0.18/0.48  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.51  ; Declaring unordered_pair to be commutative.
% 0.18/0.51  
% 0.18/0.51  #||
% 0.18/0.51  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51  % SZS output start Refutation
% See solution above
% 0.18/0.51  ||#
% 0.18/0.51  
% 0.18/0.51  ; Summary of computation:
% 0.18/0.51  ;        99 formulas have been input or derived (from 40 formulas).
% 0.18/0.51  ;        68 (69%) were retained.  Of these,
% 0.18/0.51  ;            5 ( 7%) were simplified or subsumed later,
% 0.18/0.51  ;           63 (93%) are still being kept.
% 0.18/0.51  ; 
% 0.18/0.51  ; Run time in seconds excluding printing time:
% 0.18/0.51  ;     0.005  12%   Read assertion file          (1 call)
% 0.18/0.51  ;     0.002   5%   Assert                       (34 calls)
% 0.18/0.51  ;     0.003   7%   Process new row              (91 calls)
% 0.18/0.51  ;     0.004  10%   Resolution                   (78 calls)
% 0.18/0.51  ;     0.000   0%   Paramodulation               (39 calls)
% 0.18/0.51  ;     0.000   0%   Factoring                    (1 call)
% 0.18/0.51  ;     0.002   5%   Condensing                   (31 calls)
% 0.18/0.51  ;     0.000   0%   Forward subsumption          (31 calls)
% 0.18/0.51  ;     0.001   2%   Backward subsumption         (31 calls)
% 0.18/0.51  ;     0.001   2%   Clause clause subsumption    (4 calls)
% 0.18/0.51  ;     0.001   2%   Forward simplification       (89 calls)
% 0.18/0.51  ;     0.000   0%   Backward simplification      (68 calls)
% 0.18/0.51  ;     0.000   0%   Ordering                     (33 calls)
% 0.18/0.51  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.18/0.51  ;     0.000   0%   Purity testing               (1 call)
% 0.18/0.51  ;     0.023  55%   Other
% 0.18/0.51  ;     0.042        Total
% 0.18/0.51  ;     0.043        Real time
% 0.18/0.51  ; 
% 0.18/0.51  ; Term-hash-array has 142 terms in all.
% 0.18/0.51  ; Feature-vector-row-index has 30 entries (30 at peak, 31 added, 1 deleted).
% 0.18/0.51  ; Feature-vector-row-index has 133 nodes (133 at peak, 142 added, 9 deleted).
% 0.18/0.51  ;  Retrieved 4 possibly forward subsuming rows in 31 calls.
% 0.18/0.51  ;  Retrieved 0 possibly backward subsumed rows in 31 calls.
% 0.18/0.51  ; Path-index has 143 entries (143 at peak, 149 added, 6 deleted).
% 0.18/0.51  ; Path-index has 342 nodes (342 at peak, 348 added, 6 deleted).
% 0.18/0.51  ; Trie-index has 143 entries (143 at peak, 149 added, 6 deleted).
% 0.18/0.51  ; Trie-index has 362 nodes (362 at peak, 370 added, 8 deleted).
% 0.18/0.51  ; Retrieved 23 generalization terms in 107 calls.
% 0.18/0.51  ; Retrieved 36 instance terms in 36 calls.
% 0.18/0.51  ; Retrieved 1,471 unifiable terms in 333 calls.
% 0.18/0.51  ; 
% 0.18/0.51  ; The agenda of rows to process has 1 entry:
% 0.18/0.51  ;     1 with value 8
% 0.18/0.51  ; The agenda of rows to give has 27 entries:
% 0.18/0.51  ;     3 with value (4 5)           1 with value (4 11)           1 with value (4 19)
% 0.18/0.51  ;     6 with value (4 6)           2 with value (4 12)           1 with value (4 20)
% 0.18/0.51  ;     4 with value (4 7)           2 with value (4 14)           1 with value (4 24)
% 0.18/0.51  ;     2 with value (4 10)          1 with value (4 15)           3 with value (4 26)
% 0.18/0.51  Evaluation took:
% 0.18/0.51    0.044 seconds of real time
% 0.18/0.51    0.039042 seconds of user run time
% 0.18/0.51    0.004644 seconds of system run time
% 0.18/0.51    0 calls to %EVAL
% 0.18/0.51    0 page faults and
% 0.18/0.51    2,534,312 bytes consed.
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T02:18:48
% 0.18/0.51  :PROOF-FOUND
% 0.18/0.51  * 
%------------------------------------------------------------------------------