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SNARK---20120808r022.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SEU139+2 : TPTP v8.1.0. Released v3.3.0.
% 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 14:19:25 EDT 2022

% Result   : Theorem 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   5 unt;   1 nHn;   8 RR)
%            Number of literals    :   12 (   3 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ proper_subset(X,Y)
    | ~ proper_subset(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_xboole_0) ).

cnf(29,axiom,
    ( ~ proper_subset(X,Y)
    | X != Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).

cnf(30,axiom,
    ( proper_subset(X,Y)
    | ~ subset(X,Y)
    | X = Y ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_xboole_0) ).

cnf(68,negated_conjecture,
    subset('SKOLEMAAAV11','SKOLEMAAAV12'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_xboole_1) ).

cnf(69,negated_conjecture,
    proper_subset('SKOLEMAAAV12','SKOLEMAAAV11'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_xboole_1) ).

cnf(88,plain,
    ~ proper_subset('SKOLEMAAAV11','SKOLEMAAAV12'),
    inference('UR-RESOLVE',[status(thm)],[2,69]) ).

cnf(90,plain,
    'SKOLEMAAAV12' != 'SKOLEMAAAV11',
    inference('UR-RESOLVE',[status(thm)],[29,69]) ).

cnf(118,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[30,68]),90,88]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU139+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.13  % Command  : run-snark %s %d
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jun 19 00:44:13 EDT 2022
% 0.14/0.34  % 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 2022-06-19T00:44:13
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-19T00:44:13
% 0.20/0.49  
% 0.20/0.49  ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.49  ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.49  ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.49  ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.49  ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.49  ; Declaring set_union2 to be commutative.
% 0.20/0.49  ; Declaring set_intersection2 to be commutative.
% 0.20/0.53  ; Declaring disjoint to be commutative.
% 0.20/0.53  
% 0.20/0.53  #||
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53  % SZS output start Refutation
% See solution above
% 0.20/0.53  ||#
% 0.20/0.53  
% 0.20/0.53  ; Summary of computation:
% 0.20/0.53  ;       277 formulas have been input or derived (from 38 formulas).
% 0.20/0.53  ;       118 (43%) were retained.  Of these,
% 0.20/0.53  ;           18 (15%) were simplified or subsumed later,
% 0.20/0.53  ;          100 (85%) are still being kept.
% 0.20/0.53  ; 
% 0.20/0.53  ; Run time in seconds excluding printing time:
% 0.20/0.53  ;     0.010  16%   Read assertion file          (1 call)
% 0.20/0.53  ;     0.003   5%   Assert                       (55 calls)
% 0.20/0.53  ;     0.010  16%   Process new row              (246 calls)
% 0.20/0.53  ;     0.002   3%   Resolution                   (74 calls)
% 0.20/0.53  ;     0.001   2%   Paramodulation               (37 calls)
% 0.20/0.53  ;     0.000   0%   Factoring                    (4 calls)
% 0.20/0.53  ;     0.004   6%   Condensing                   (94 calls)
% 0.20/0.53  ;     0.002   3%   Forward subsumption          (94 calls)
% 0.20/0.53  ;     0.001   2%   Backward subsumption         (78 calls)
% 0.20/0.53  ;     0.001   2%   Clause clause subsumption    (76 calls)
% 0.20/0.53  ;     0.005   8%   Forward simplification       (245 calls)
% 0.20/0.53  ;     0.001   2%   Backward simplification      (115 calls)
% 0.20/0.53  ;     0.000   0%   Ordering                     (101 calls)
% 0.20/0.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.20/0.53  ;     0.000   0%   Purity testing               (1 call)
% 0.20/0.53  ;     0.022  35%   Other
% 0.20/0.53  ;     0.062        Total
% 0.20/0.53  ;     0.064        Real time
% 0.20/0.53  ; 
% 0.20/0.53  ; Term-hash-array has 167 terms in all.
% 0.20/0.53  ; Feature-vector-row-index has 68 entries (68 at peak, 78 added, 10 deleted).
% 0.20/0.53  ; Feature-vector-row-index has 174 nodes (174 at peak, 197 added, 23 deleted).
% 0.20/0.53  ;  Retrieved 69 possibly forward subsuming rows in 94 calls.
% 0.20/0.53  ;  Retrieved 12 possibly backward subsumed rows in 78 calls.
% 0.20/0.53  ; Path-index has 157 entries (157 at peak, 176 added, 19 deleted).
% 0.20/0.53  ; Path-index has 309 nodes (309 at peak, 320 added, 11 deleted).
% 0.20/0.53  ; Trie-index has 157 entries (157 at peak, 176 added, 19 deleted).
% 0.20/0.53  ; Trie-index has 336 nodes (336 at peak, 367 added, 31 deleted).
% 0.20/0.53  ; Retrieved 228 generalization terms in 353 calls.
% 0.20/0.53  ; Retrieved 62 instance terms in 36 calls.
% 0.20/0.53  ; Retrieved 1,944 unifiable terms in 231 calls.
% 0.20/0.53  ; 
% 0.20/0.53  ; The agenda of rows to process has 5 entries:
% 0.20/0.53  ;     2 with value 9               2 with value 15               1 with value 16
% 0.20/0.53  ; The agenda of input rows to give has 31 entries:
% 0.20/0.53  ;     5 with value 12              1 with value 16               4 with value 23
% 0.20/0.53  ;     1 with value 13              4 with value 18               2 with value 26
% 0.20/0.53  ;     4 with value 14              2 with value 19               2 with value 31
% 0.20/0.53  ;     4 with value 15              1 with value 22               1 with value 34
% 0.20/0.53  ; The agenda of rows to give has 32 entries:
% 0.20/0.53  ;     6 with value (4 5)           3 with value (4 12)           1 with value (4 17)
% 0.20/0.53  ;     1 with value (4 7)           2 with value (4 13)           4 with value (4 18)
% 0.20/0.53  ;     3 with value (4 8)           2 with value (4 14)           3 with value (4 19)
% 0.20/0.53  ;     4 with value (4 11)          2 with value (4 15)           1 with value (4 20)
% 0.20/0.53  Evaluation took:
% 0.20/0.53    0.064 seconds of real time
% 0.20/0.53    0.057257 seconds of user run time
% 0.20/0.53    0.007373 seconds of system run time
% 0.20/0.53    0 calls to %EVAL
% 0.20/0.53    0 page faults and
% 0.20/0.53    3,213,768 bytes consed.
% 0.20/0.53  :PROOF-FOUND
% 0.20/0.53  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T00:44:13
% 0.20/0.54  :PROOF-FOUND
% 0.20/0.54  * 
%------------------------------------------------------------------------------