TSTP Solution File: SEU230+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 14:20:25 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   4 unt;   0 nHn;   4 RR)
%            Number of literals    :   10 (   4 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :    9 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    succ(X) = set_union2(X,singleton(X)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_ordinal1) ).

cnf(5,axiom,
    ( X != singleton(Y)
    | in(Z,X)
    | Z != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).

cnf(9,axiom,
    ( X != set_union2(Y,Z)
    | in(U,X)
    | ~ in(U,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).

cnf(33,negated_conjecture,
    ~ in('SKOLEMAAAV14',succ('SKOLEMAAAV14')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t10_ordinal1) ).

cnf(69,plain,
    in(X,singleton(X)),
    inference('HYPERRESOLVE',[status(thm)],[5,theory(equality),theory(equality)]) ).

cnf(72,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,3,33]),69]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU230+3 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.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 07:52:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-19T07:52:23
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-19T07:52:23
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.49  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?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.
% 0.20/0.49  WARNING:
% 0.20/0.49     |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49  WARNING:
% 0.20/0.49     |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52  ; Declaring set_union2 to be commutative.
% 0.20/0.52  
% 0.20/0.52  #||
% 0.20/0.52  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52  % SZS output start Refutation
% See solution above
% 0.20/0.52  ||#
% 0.20/0.52  
% 0.20/0.52  ; Summary of computation:
% 0.20/0.52  ;       253 formulas have been input or derived (from 34 formulas).
% 0.20/0.52  ;        72 (28%) were retained.  Of these,
% 0.20/0.52  ;            6 ( 8%) were simplified or subsumed later,
% 0.20/0.52  ;           66 (92%) are still being kept.
% 0.20/0.52  ; 
% 0.20/0.52  ; Run time in seconds excluding printing time:
% 0.20/0.52  ;     0.006  14%   Read assertion file          (1 call)
% 0.20/0.52  ;     0.002   5%   Assert                       (34 calls)
% 0.20/0.52  ;     0.003   7%   Process new row              (242 calls)
% 0.20/0.52  ;     0.005  11%   Resolution                   (66 calls)
% 0.20/0.52  ;     0.001   2%   Paramodulation               (33 calls)
% 0.20/0.52  ;     0.002   5%   Condensing                   (21 calls)
% 0.20/0.52  ;     0.000   0%   Forward subsumption          (21 calls)
% 0.20/0.52  ;     0.000   0%   Backward subsumption         (19 calls)
% 0.20/0.52  ;     0.001   2%   Clause clause subsumption    (7 calls)
% 0.20/0.52  ;     0.003   7%   Forward simplification       (227 calls)
% 0.20/0.52  ;     0.000   0%   Backward simplification      (72 calls)
% 0.20/0.52  ;     0.000   0%   Ordering                     (43 calls)
% 0.20/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.52  ;     0.021  48%   Other
% 0.20/0.52  ;     0.044        Total
% 0.20/0.52  ;     0.046        Real time
% 0.20/0.52  ; 
% 0.20/0.52  ; Term-hash-array has 112 terms in all.
% 0.20/0.52  ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.20/0.52  ; Feature-vector-row-index has 49 nodes (49 at peak, 49 added, 0 deleted).
% 0.20/0.52  ;  Retrieved 5 possibly forward subsuming rows in 21 calls.
% 0.20/0.52  ;  Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.20/0.52  ; Path-index has 118 entries (118 at peak, 124 added, 6 deleted).
% 0.20/0.52  ; Path-index has 150 nodes (150 at peak, 156 added, 6 deleted).
% 0.20/0.52  ; Trie-index has 118 entries (118 at peak, 124 added, 6 deleted).
% 0.20/0.52  ; Trie-index has 191 nodes (191 at peak, 197 added, 6 deleted).
% 0.20/0.52  ; Retrieved 297 generalization terms in 434 calls.
% 0.20/0.52  ; Retrieved 55 instance terms in 52 calls.
% 0.20/0.52  ; Retrieved 1,278 unifiable terms in 276 calls.
% 0.20/0.52  ; 
% 0.20/0.52  ; The agenda of rows to process has 6 entries:
% 0.20/0.52  ;     1 with value 7               1 with value 15               1 with value 17
% 0.20/0.52  ;     3 with value 13
% 0.20/0.52  ; The agenda of input rows to give has 6 entries:
% 0.20/0.52  ;     1 with value 19              2 with value 23               1 with value 31
% 0.20/0.52  ;     2 with value 20
% 0.20/0.52  ; The agenda of rows to give has 31 entries:
% 0.20/0.52  ;     5 with value (4 5)           2 with value (4 8)            2 with value (4 10)
% 0.20/0.52  ;    21 with value (4 7)           1 with value (4 9)
% 0.20/0.52  Evaluation took:
% 0.20/0.52    0.047 seconds of real time
% 0.20/0.52    0.03824 seconds of user run time
% 0.20/0.52    0.007932 seconds of system run time
% 0.20/0.52    0 calls to %EVAL
% 0.20/0.52    0 page faults and
% 0.20/0.52    2,370,360 bytes consed.
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T07:52:23
% 0.20/0.52  :PROOF-FOUND
% 0.20/0.52  * 
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