TSTP Solution File: SET940+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SET940+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n010.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 05:13:34 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    1
%            Number of leaves      :    2
% Syntax   : Number of clauses     :    3 (   3 unt;   0 nHn;   2 RR)
%            Number of literals    :    3 (   2 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(5,negated_conjecture,
    union(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4')) != set_union2('SKOLEMAAAV3','SKOLEMAAAV4'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t93_zfmisc_1) ).

cnf(6,axiom,
    union(unordered_pair(X,Y)) = set_union2(X,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l52_zfmisc_1) ).

cnf(7,plain,
    $false,
    inference('REWRITE',[status(thm)],[5,6,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SET940+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 15:19:00 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49  * 
% 0.21/0.49  * 
% 0.21/0.49  #<PACKAGE "SNARK-USER">
% 0.21/0.49  * 
% 0.21/0.49  SNARK-TPTP-OPTIONS
% 0.21/0.49  * 
% 0.21/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49   (USE-FACTORING :POS)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49  * 
% 0.21/0.49  "."
% 0.21/0.49  * 
% 0.21/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T15:19:00
% 0.21/0.49  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-10T15:19:00
% 0.21/0.51  
% 0.21/0.51  ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.21/0.51  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.51  ; Declaring set_union2 to be commutative.
% 0.21/0.52  ; Declaring unordered_pair to be commutative.
% 0.21/0.52  
% 0.21/0.52  #||
% 0.21/0.52  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52  % SZS output start Refutation
% See solution above
% 0.21/0.52  ||#
% 0.21/0.52  
% 0.21/0.52  ; Summary of computation:
% 0.21/0.52  ;        10 formulas have been input or derived (from 1 formulas).
% 0.21/0.52  ;         7 (70%) were retained.  Of these,
% 0.21/0.52  ;            1 (14%) were simplified or subsumed later,
% 0.21/0.52  ;            6 (86%) are still being kept.
% 0.21/0.52  ; 
% 0.21/0.52  ; Run time in seconds excluding printing time:
% 0.21/0.52  ;     0.002   8%   Read assertion file          (1 call)
% 0.21/0.52  ;     0.000   0%   Assert                       (9 calls)
% 0.21/0.52  ;     0.000   0%   Process new row              (10 calls)
% 0.21/0.52  ;     0.000   0%   Condensing                   (2 calls)
% 0.21/0.52  ;     0.000   0%   Forward subsumption          (2 calls)
% 0.21/0.52  ;     0.000   0%   Backward subsumption         (1 call)
% 0.21/0.52  ;     0.000   0%   Clause clause subsumption    (1 call)
% 0.21/0.52  ;     0.000   0%   Forward simplification       (10 calls)
% 0.21/0.52  ;     0.000   0%   Backward simplification      (7 calls)
% 0.21/0.52  ;     0.001   4%   Ordering                     (2 calls)
% 0.21/0.52  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.21/0.52  ;     0.000   0%   Purity testing               (1 call)
% 0.21/0.52  ;     0.023  88%   Other
% 0.21/0.52  ;     0.026        Total
% 0.21/0.52  ;     0.027        Real time
% 0.21/0.52  ; 
% 0.21/0.52  ; Term-hash-array has 14 terms in all.
% 0.21/0.52  ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.21/0.52  ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.21/0.52  ;  Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.21/0.52  ;  Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.21/0.52  ; Path-index has 14 entries (18 at peak, 20 added, 6 deleted).
% 0.21/0.52  ; Path-index has 25 nodes (35 at peak, 37 added, 12 deleted).
% 0.21/0.52  ; Trie-index has 14 entries (18 at peak, 20 added, 6 deleted).
% 0.21/0.52  ; Trie-index has 34 nodes (45 at peak, 47 added, 13 deleted).
% 0.21/0.52  ; Retrieved 3 generalization terms in 5 calls.
% 0.21/0.52  ; Retrieved 7 instance terms in 5 calls.
% 0.21/0.52  ; 
% 0.21/0.52  ; The agenda of input rows to give has 5 entries:
% 0.21/0.52  ;     2 with value 3               1 with value 9                1 with value 11
% 0.21/0.52  ;     1 with value 7
% 0.21/0.52  Evaluation took:
% 0.21/0.52    0.028 seconds of real time
% 0.21/0.52    0.023287 seconds of user run time
% 0.21/0.52    0.004122 seconds of system run time
% 0.21/0.52    0 calls to %EVAL
% 0.21/0.52    0 page faults and
% 0.21/0.52    1,350,944 bytes consed.
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T15:19:00
% 0.21/0.52  :PROOF-FOUND
% 0.21/0.52  * 
%------------------------------------------------------------------------------